Answer:
90k
Step-by-step explanation:
Taxable income is calculated by subtracting certain eligible deductions from gross income. In this scenario, a $10,000 investment in a 401k reduces the individual's taxable income from a $100,000 salary to $90,000.
Explanation:When determining taxable income, it's important to subtract certain eligible deductions from the gross income. In this case, the individual earns a salary of $100,000 and invests $10,000 in a 401k plan. This investment is a pre-tax contribution, which means it lowers the amount of income that is subject to tax. Therefore, by investing $10,000 into a 401k, the individual's taxable income would be reduced to $90,000. So the correct answer is $90,000.
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question : The diagram shows a plan for creating a zoo’s elephant exhibit. The elephant pen will be surrounded on two sides by a walkway with a viewing area in one corner. The sides, shown as dotted lines, will be fenced. How much fencing separates the elephant area from the walkways
answer choices :
(A) 180 feet
(B) 250 feet
(C) 540 feet
(D) 750 feet
Answer:
C
Step-by-step explanation:
We need to find the length of the red dotted line.
It is divided into 3 parts: the top, the middle slant, and the bottom
The top
Goes from y = 50 to y = 120, the length is:
120 - 50 = 70 units
The bottom
Goes from x = 60 to x = 120, the length is:
120 - 60 = 60 units
The middle slant
This is hypotenuse of the right triangle shown.
We will use Pythagorean Theorem to solve for this length, let it be x.
The theorem is:
Leg^2 + Another Leg^2 = x^2
One leg goes from x = 20 to x = 60, the length is 60 - 20 = 40
Another leg goes from y = 20 to y = 50, the lenth is 50 - 20 = 30
So, we have:
[tex]30^2+40^2=x^2\\2500=x^2\\x=\sqrt{2500}\\x=50[/tex]
THe slant length is 50 units
TOtal fencing is: 70 + 60 + 50 = 180 units
1 unit is 3 feet, so
180 units * 3 = 540 feet
C is the correct answer
As you move the pointer over font names in the font list, the text on the slide displays a ____ of the different font choices.
Answer:
Live preview
Step-by-step explanation:
Live preview
When looking for a font name live preview is the real time view of how a font looks. Software which provides a live preview allows the person to see their font as it would appear if published, updated live as they make changes
Moving the pointer over font names in the font list displays a preview of the different font choices.
Explanation:As you move the pointer over font names in the font list, the text on the slide displays a preview of the different font choices. This allows you to see how the text will look with different fonts before making a selection. It helps in making a decision based on the visual appearance of the text.
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A line is parallel to y = 4x + 1 and intersects the point (-2, -5) What is the equation of this parallel line?
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
y= 4x + 1
Comparing with the slope intercept form, slope = 4
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (-2, - 5) is 4
To determine the intercept, we would substitute m = 4, x = - 2 and y = -5 into y = mx + c. It becomes
- 5 = 4 × - 2 + c = - 8 + c
c = - 5 + 8 = 3
The equation becomes
y = 4x + 3
Answer:
Step-by-step explanation:
any eq. of line parallel to y=4x+1 is
y=4x+a
it passes through (-2,-5)
so -5=4(-2)+a
a=-5+8
a=3
reqd. eq. is y=4x+3
Sheila predicts that 480 people will attendthe fall concert. There was an actual total of 350 people who attended the fall concert. What is the percent error?
Final answer:
To calculate the percent error, subtract the actual attendance from the predicted attendance, take the absolute value, divide by the actual attendance, and multiply by 100%. Sheila's prediction has a percent error of 37.14%.
Explanation:
The question is asking for the calculation of the percent error between Sheila's prediction for concert attendance and the actual attendance. To find the percent error, you subtract the actual value from the predicted value, take the absolute value of the difference, divide by the actual value, and then multiply by 100 to convert it to a percentage.
Steps to Calculate Percent Error
Subtract the actual number of attendees (350) from the predicted number (480) to get the difference: 480 - 350 = 130.Take the absolute value of the difference: |130| = 130.Divide the absolute difference by the actual number of attendees: 130 / 350 = 0.3714.Multiply by 100 to get the percent: 0.3714 * 100 = 37.14%.The percent error in Sheila's prediction is 37.14%.
Jess wants to make tarts. To make tarts, she needs 8/9 of a cup of flour per batch of tarts. If Jess has 8 cups of flour, then how many batches of tarts can Jess make?
Answer:
9 batches of tarts.
Step-by-step explanation:
This is 8 / (8/9)
= 8 * 9/8
= 9 batches of tarts.
There are 6 showings of a film about Van Gogh at the art museum. A total of 459 people saw the film. The same number of people were at the showing. About how many people were at the showing ? Circle the numbers the quotient is between
Final answer:
About 76 or 77 people were at each showing of the Van Gogh film at the art museum.
Explanation:
The student's question asks about dividing the total attendance at a film showing into equal parts to find out how many people were at each showing. To solve this, we would take the total number of attendees, which is 459, and divide it by the number of showings, which is 6. This division is necessary to distribute the total equally among all showings.
Performing the division: 459 ÷ 6 = 76.5. Since you cannot have half a person attending, it suggests that the number of attendees per showing must either be rounded to 76 or 77, if we are dealing with whole numbers. However, since the exact division gives us 76.5, this suggests that the division of attendees was not perfectly even among all showings or requires rounding for an approximate answer.
Therefore, about 76 or 77 people were at each showing of the Van Gogh film at the art museum.
Megan’s art class painted two regular murals.The size of the first mural is shown below.
Answer:C) 4 feet and 12 feet
Step-by-step explanation:
The diagram of the first mural is shown. The formula for determining the perimeter of a rectangle is expressed as
Perimeter of rectangle = 2(L + W)
The length of the first mural is given as 8ft while the width of the first mural is given as 6 ft. The perimeter becomes
P = 2(8 + 6) = 2×14 = 28ft
The area of a rectangle is expressed as L×W
The area if the first mural would be
6 × 8 = 48ft^2
The second mural has the same area as the first mural but has a different perimeter. The side lengths of the second mural are
4 ft and 12ft
Area = 4×12 = 48 ft^2
Perimeter = 2(12+4) = 32ft
So area is the same and perimeter is different.
a basketball coach is ordering new basketballs for the upcoming season. Let X be the number ball she can buy. Balls cost $65 and she will buy at least one shopping is a flat fee of $25 she has a budget of $545 that she can spend. Which inequality and solution set best model this situation?
A. 545>25x+65
B. 545>65x+25
C. 545(65+25)x
D. The solution set is all positive integers less than or equal to 6
E. Solution set is all positive integers less than or equal to 8
F. The solution set is all positive integers less than or equal to 19
Select each correct answer
Answer:
B & E.
Step-by-step explanation:
$25 is the y value, because she has to pay the fee no matter what.
Integers can be less than or equal to 8 because 65(8) + 25 is equal to 545, which does not exceed the budget.
Hope this helps!
The shadow of the moon during a solar eclipse travels 2300 miles in one hour in the first 20 minutes the Shoadow traveled seven 66 2/3 miles how long does it take for the Shadow to reach 1150 miles
Final answer:
It takes 30 minutes for the moon's shadow to travel 1150 miles during a solar eclipse based on the speed of 2300 miles per hour.
Explanation:
The question asks us to calculate the amount of time it takes the moon's shadow to travel a certain distance during a solar eclipse, based on given speeds and distances. We know that the shadow travels 2300 miles in one hour, so the speed of the shadow is 2300 miles per hour. In the first 20 minutes, the shadow traveled 766 ⅓ miles. To find the time it takes the shadow to reach 1150 miles, we set up a proportion since the motion of the shadow is at a constant speed.
First, let's convert the 20-minute travel time to hours by dividing by 60, which is ⅓ of an hour (20 / 60 = ⅓). Then we can set up the proportion as follows:
766 ⅓ miles is to ⅓ hour, as 1150 miles is to T hours. Which gives us:
(766 ⅓ / 2300) = (⅓ / 1)
(1150 / 2300) = (T / 1)
Now, we solve for T:
⅓ = 1150 / 2300
T = ⅓
So, T is ⅓ of an hour, which means that it takes ⅓ of an hour for the shadow to reach 1150 miles. We can convert ⅓ of an hour to minutes by multiplying by 60, thus:
T = ⅓ × 60
T = 30 minutes
Therefore, it takes 30 minutes for the shadow to reach 1150 miles.
math please help! thanks
Answer:
B
Step-by-step explanation:
For a function to be true, there cannot be any same x value for two different y value. Therefore, B, there is the same x value for 4 but with 2 different ys, 4 and 1.
Answer:
B.
Step-by-step explanation:
It is B because it contains a one-to-many relation.
4 maps to 4 and also 4 maps to 1.
How is volume calculated given mass and density? (1 point) Question 8 options: 1) Sum of mass and density 2) Mass divided by density 3) Mass multiplied by density 4) Difference of mass and density
Answer:
Option 2. Mass divided by density
Step-by-step explanation:
we know that
The formula to calculate the density is equal to
[tex]D=\frac{m}{V}[/tex]
where
D is the density
m is the mass
V is the volume
Solve for V (that means isolate the variable V)
Multiply both sides for V
[tex]DV=m[/tex]
Divide by D both sides
[tex]V=\frac{m}{D}[/tex]
so
Mass divided by density
Using the diagram, find the value of x.
←—→–————↗———→
10x
7x-7
←—→–—↙——————→
A. -9
B. 2
C. 8
D. 11
If you could elaborate on what this is, I would be gladly to assist you, but there is uncertainty going on here. I apologise.
Mitch has already spent 26 minutes on the phone, and he expects to spend 2 more minutes with every phone call he routes. Write the relationship between the phone calls routed p and the minutes on the phone t.
Answer:
minutes spent on phone (t) is directly proportional to the phone calls routed (p) with equation [tex]t =26+2p[/tex].
Step-by-step explanation:
Given:
Number of minutes already spent = 26 minutes
Number of minutes expected to spend on each call = 2
Let number of calls routed be 'p'
Also Let number of minutes on the phone be 't'.
We need to find the relationship between phone calls routed and mins spend on the phone.
Solution:
Now we know that;
Total minutes spent on phone is equal to Number of minutes already spent plus Number of minutes expected to spend on each call routes multiplied by number of calls routed.
framing in equation form we get;
[tex]t =26+2p[/tex]
From above we can see that whenever p increases the value of t will increase too .
Hence we can say that minutes spent on phone (t) is directly proportional to the phone calls routed (p) with equation [tex]t =26+2p[/tex].
Madhu is hanging a string of flowers on the perimeter of a rectangular pool deck. The deck is 30 feet long and 24 feet wide. How long does the string of flowers need to be?
Answer:
108 feet long
Step-by-step explanation:
You know that to find the perimeter you have to add up all the sides. A rectangle has 4 sides, so 30+30 is 60 and 24+24 is 48. Add 60 and 48 up and you get 108 as the perimeter. Since Madhu is hanging a string of flowers on the PERIMETER, the flower string will need to be 108 feet long.
Hope this Helped!
A pile of newspaper was 17 3/4 inches high. Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inches. What is the height in inches, of the pile after 3 weeks?
Answer: the height in inches, of the pile after 3 weeks is 34 11/12 inches
Step-by-step explanation:
Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inches. Converting 8 7/12 inches to improper fraction, it becomes 103/12 inches. The height is increasing in an arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 17 3/4= 71/4 inches
d = 103/12 inches
n = 3 weeks
the height in inches, of the pile after 3 weeks, T3. Therefore,
T3 = 71/4 + (3 - 1)103/12
T3 = 71/4 + 2 × 103/12 = 71/4 + 103/6
T3 = 419/12 inches = 34 11/12 inches
I don’t get this please help ASAP
Answer:
AE = 70
Step-by-step explanation:
Given that ACE is a triangle and B , D , F are mid-points of AC, CE, AE respectively.
⇒ BF, FD, BD are mid-segments.
Mid-segment is a line segment joining mid points of two sides of a triangle,
And it as two properties :
1) mid-segment is always parallel to the third side
2) mid-segment is half in length of the third side
⇒ Here, BD is the mid-segment and is parallel to third side AE
And also BD is half of AE
⇒ AE = 2×BD = 2×35
⇒ AE = 70.
an automobile 16 feet long overtakes a truck that is 28 feet long and is traveling 30 mph. At what rate must the automobile travel to pass the truck in 4 seconds?
Step-by-step explanation:
Length of automobile = 16 feet = 4.88 m
Length of truck = 28 feet = 8.53 m
Speed of truck = 30 mph = 48 km/h = 13.33 m/s
Time in which automobile to pass truck = 4 s
Distance traveled by truck in 4 seconds = 4 x 13.33 = 53.33 m
Distance which need to cover by automobile in 4 seconds to pass truck is the sum of length of automobile, length of truck and distance traveled by truck in 4 seconds.
Distance which need to cover by automobile in 4 seconds = 4.88 + 8.53 + 53.33
Distance which need to cover by automobile in 4 seconds = 66.74 m
Distance = Speed x Time
66.74 = Speed x 4
Speed = 16.69 m/s = 60 km/h = 96 mph
Automobile must travel at 96 mph to pass the truck in 4 seconds.
need help please ty (:
Find x.
===================================
Work Shown:
Through the inscribed angle theorem, we can say that 2 times the inscribed angle gets us the arc that the inscribed angle cuts off.
2*(inscribed angle) = arc measure
2*(2x+2) = 76
4x+4 = 76
4x+4-4 = 76-4 ... subtract 4 from both sides
4x = 72
4x/4 = 72/4 ... divide both sides by 4
x = 18
Answer:
Step-by-step explanation:
2 × inscribed angle = 76
2 × (2x + 2) = 76
Open bracket
4x + 4 = 76
Collect like terms
4x = 76 - 4
4x = 72
Divide both sides by 4
4x/4 = 72/4
X = 18
Therefore X is Equal to 18.
Mark and his three friends are out of Applebee's. Their total is 52.35 If they left the server a 20% tip how much would each person pay splitting the bill evenly
Answer:
per person$15.71
Mrs Gonzalez has three children whose names are Javier Juan and Rosa. Their mean age is 11 .The median age is 10 .Rosa is 15 years old .What is the age of the youngest child?
Answer:
8
Step-by-step explanation:
Since there are 3 (an odd number) ages, the median is the middle one. So, we know two of the ages are 10 and 15. In order for the mean of the three ages to be 11, their total must be 33. The total of the two known ages is 25, so the remaining one must be ...
33 -25 = 8
The youngest child is 8.
It takes 2 minutes to print out 3 photos. Write an equation relating the number of photos N to the number of minutes M. At this rate, how long will it take to print 10 photos? 14 photos?
Answer:
Part a) [tex]M=6\frac{2}{3}\ min[/tex]
Part b) [tex]M=9\frac{1}{3}\ min[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, M, and N, represent a proportional variation if it can be expressed in the form [tex]k=\frac{N}{M}[/tex] or [tex]N=kM[/tex]
In this problem, the relationship between the number of photos N to the number of minutes M represent a proportional variation
we have that
For M=2, N=3
Find the the constant of proportionality k
[tex]k=\frac{N}{M}[/tex]
substitute the value of N and M
[tex]k=\frac{3}{2}[/tex]
so
[tex]N=\frac{3}{2}M[/tex]
Part a) How long will it take to print 10 photos?
For N=10
substitute in the linear equation
[tex]10=\frac{3}{2}M[/tex]
solve for M
[tex]M=\frac{10*2}{3}[/tex]
[tex]M=\frac{20}{3}\ min[/tex]
Convert to mixed number
[tex]M=\frac{20}{3}\ min=\frac{18}{3}+\frac{2}{3}=6\frac{2}{3}\ min[/tex]
Part b) How long will it take to print 14 photos?
For N=14
substitute in the linear equation
[tex]14=\frac{3}{2}M[/tex]
solve for M
[tex]M=\frac{14*2}{3}[/tex]
[tex]M=\frac{28}{3}\ min[/tex]
Convert to mixed number
[tex]M=\frac{28}{3}\ min=\frac{27}{3}+\frac{1}{3}=9\frac{1}{3}\ min[/tex]
The height of water in a rectangular tank is given by h(w), where w is the volume of water (in liters) that has been removed from the tank. The height of the water decreases 10mm per liter removed.
a. From the time when 7 L have been removed to the time when 15 L have been removed, the accumulated change in the height of the water is
b. If the initial height of the water is 600mm, then the height of the water after w liters have been removed is
Answer:
a) ΔL = 80mm
b) h = 600 - 10w mm
Step-by-step explanation:
a. From the time when 7 L have been removed to the time when 15 L have been removed, the change in the volume has been 8L and how the height of the water decreases 10mm per liter removed, then the acumulate change in the height of water has been (8lt)(10mm/lt) = 80 mm
b) If w liters have been removed, then the change in the height of water is (10mm/lt)(wlt) = 10w mm and thus the water's height at this precise point in time is 600 - 10w mm
Write an equation for the line that is parallel to y = −2x and passes through the point (0,7).
A. y=2x–7
B. y=-2x + 7
C. y=-2x-7
D. y=2x+7
Answer:
B. [tex]\displaystyle y = -2x + 7[/tex]
Step-by-step explanation:
The y-intercept is given to us, which is [tex]\displaystyle [0, 7],[/tex]and Parallel Lines have SIMILAR RATE OF CHANGES [SLOPES], so −2 remains the way it is.
I am joyous to assist you anytime.
help me on this question please
Answer:
Step-by-step explanation:
The diameter equals the side length of the outer square. The radius of the circle is √2. The diameter of the circle would be
2 × radius = 2 × √2 = 2√2
The area of a square is expressed as length^2. This means that the area of the outer square would be
( 2√2)^2 = 4×2 = 8
The area of the circle is expressed as πr^2. Therefore, the area of the circle would be
π×√2^2 = 2π = 2×3.14 = 6.28
Looking at the inner square, to find the length of the base, we would apply Pythagoras theorem.
√2^2 = base^2 + 1^2
2 = base^2 + 1
base^2 = 2 -1 = 1
base = √1
Area of the inner square would be
√1^2 = 1
Total shaded area would be
6.28 - 1 = 5.28
The probability that the dart will land on the shaded area is
5.28/8 = 0.66
Industries pollute because Select one: a. manufacturing consumes energy and produces waste. b. they want to cut costs and increase profits. c. proper waste disposal is too costly. d. All of these are correct.
Answer:
d
Step-by-step explanation:
Industries Pollute because of following reasons
Lack of Policies and Unplanned industrial growthApplication of obsolete technologiesInefficient Waste disposalAs the cost of disposal is high so industries dump their waste in the nearby water bodies which causes water pollution. As industries want to maximize their profit so they neglect the disposal part to increase it.
Proper disposal includes the treatment of waste material to reduce its hazardous nature.
Please I need help
Solve the system by substitution.
{
2
.
5
x
−
3
y
=
−
13
3
.
25
x
−
y
=
−
14
Answer:
(x, y) = (-3 5/8, 1 5/16)
Step-by-step explanation:
Add y+14 to the second equation to get ...
3.5x +14 = y
Substitute this for y in the first equation:
2.5x -3(3.5x +14) = -13
2.5x -10.5x -42 = -13
-8x = 29
x = -29/8 = -3 5/8
Using this in the formula for y, we get ...
3.5(-29/8) +14 = y
-203/16 +14 = y = 21/16 = 1 5/16
Answer : The value of x and y is, 4 and 27 respectively.
Step-by-step explanation :
The given equations are:
[tex]2.5x-3y=-13[/tex] ...........(1)
[tex]3.25x-y=-14[/tex] .........(2)
or,
[tex]y=3.25x+14[/tex] ..........(3)
Now put equation 3 in 1, we get the value of 'x'.
[tex]2.5x-3y=-13[/tex]
[tex]2.5x-3(3.25x+14)=-13[/tex]
[tex]2.5x-9.75x-42=-13[/tex]
[tex]-7.25x=-13+42[/tex]
[tex]-7.25x=29[/tex]
[tex]x=-\frac{29}{7.25}[/tex]
[tex]x=-4[/tex]
Now put the value of 'x' in equation 3, we get the value of 'y'.
[tex]y=3.25x+14[/tex]
[tex]y=3.25(4)+14[/tex]
[tex]y=13+14[/tex]
[tex]y=27[/tex]
Therefore, the value of x and y is, 4 and 27 respectively.
A firm is hiring labor and capital in the cost-minimizing combination. Which of the following would cause the firm to increase hiring capital and decrease hiring of labor?
The productivity of labor increases by 5% would cause the firm to increase hiring capital and decrease hiring of labor
Step-by-step explanation:
A company can convert input data to output data. So, it gets divided the data into broad categories called production factors. Productivity variations, or more precisely the marginal products of labour, work in the same way as differences in real wages. Remember that marginal prices depend on both - real wages and the productivity.
If in case, productivity increases, perhaps because the company has increased its capital base, thereby marginal costs will decrease. Companies will produce more products and employ more employees. Conversely, if productivity drops, companies will produce less and destroy jobs.
When a firm faces union demands for higher wages, they may increase hiring of capital and decrease hiring of labor. This can result in increased labor productivity. In the United States in the 1970s, firms shifted towards more capital and less labor due to union demands for higher wages.
Explanation:When a firm is confronted with union demands for higher wages, they may choose to increase hiring of capital and decrease hiring of labor. This is because using more physical capital and less labor can result in increased labor productivity.
For example, if the cost of machines increases relative to labor, the firm may shift towards using less capital and more labor to minimize costs. In this situation, the firm would hire more capital and decrease hiring of labor.
In the United States in the 1970s, this situation occurred where firms faced union demands for higher wages, causing a shift towards more capital and less labor in production methods.
Sara completes 2/5 of her math homework in class. What percent of homework is left for Sara to finish?
Answer:
.006%
Step-by-step explanation:
Nour and Rana are shopping for a Christmas tree. They are deciding between 2 different types of trees (real and fake) and 4 colors for the ornaments (white, silver, gold, and purple). They each created a display to represent the sample space of randomly picking a type of tree and a color for the ornaments.
There are no actual questions provided for this post. However, based on the details given, the question will probably asked about the following:
a) list the sample space
b) the probability of having a type of tree with certain color
I will explain to you how to answer such questions. Though it may defer a bit from the actual question, you could use guidance to provide the basis for your answer.
Answer and Step-by-step explanation:
List of sample space must incorporate each sample on two different events given that both events are independent to each other.
In this case we have two events:
i) type of tree - real or fake
ii) color of ornaments - white (W), silver (S), gold (G) or purple (P)
Each sample must have one choices of each events. In this case the sample space are:
(real,W), (real,S), (real,G),(real,P)
(fake,W), (fake,S), (fake,G), (fake,P)
To find probability of any choices, we need to know the probability of each samples. Assuming the selection is random and both events are independent to each other, we can have each sample for each event having different probability.
Event: type of tree
Number of choice: 2
Hence, Pr(real) = Pr(fake) = 1/2
Event: ornament color
Number of choices: 4
Hence, Pr(W) = Pr(S) = Pr(G) = Pr(P) = 1/4
To find the probability of any sample space, we can base our probability using individual probability as above.
For example, if the choice is fake tree with red ornaments
Pr(fake & R) = Pr(fake) x Pr(R)
= 1/2 x 1/4
= 1/8
Answer: Guys the answer is both
Math question any help appreciated ! Find x.
==================================
Explanation:
Mark point D as the center of the circle. Segment EG is the diameter, so angle EDG is 180 degrees. By the central angle theorem, arc EFG is also 180 degrees.
The minor arc from E to F (follow the shortest path along the circle) is 56 degrees. From F to G, along the shortest path, we have y degrees.
(minor arc EF)+(minor arc FG) = arc EFG
56+y = 180
56+y-56 = 180-56
y = 180-56
y = 124
Minor arc FG is 124 degrees.
This is equivalent to saying that central angle FDG is 124 degrees.
-----------------
The inscribed angle for minor arc FG is the angle FEG, which is half that of the minor arc measure.
inscribed angle = (1/2)*(arc measure)
angle FEG = (1/2)*(minor arc FG)
x = (1/2)*(124)
x = 62
Good evening ,
Answer:
x = 62°
Step-by-step explanation:
x equals to half the measure of the central angle FOG
x = (1/2)×(m∠FOG)
m∠FOG = 180 - m∠EOF
= 180 - 56
= 124
then x = 124/2 = 62.
:)