Need help asap
What are the steps for using a compass and straightedge to construct the bisector of ∠G?
Drag the steps and drop them in order from start to finish.
A. Use the straightedge to draw GK−→−.
B. Place the point of the compass on point H and draw an arc in the interior of the angle.
C. Place the point of the compass on point G and draw an arc that intersects the sides of ∠G. Label the points of intersection as points H and J.
D. Without changing the opening of the compass, place the point of the compass on point J and draw another arc in the interior of the angle.
E. Label the intersection of the arcs in the interior of the angle as point K.
Answers
You need to create an arc that intersects the angle. That is providing the equal sections for the bisections. Where the arcs intersect in E is the midpoint between the two rays. GK is the bisector of the angle.
Answer:
C, B, D, E, A.
Step-by-step explanation:
Related Questions
14 minus the product of three and the number has 26
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14 - 3 (x) = 26
Subtract 14 from both sides
-3x = 12
Divide both sides by -3
X= -4
Plz some one help!!!!!!!
Suppose an amount increase by 100%, then decreases by 100%. Find the final amount.Would the situation change if the original increase was 150%? Explain your reasoning.
I will give you 10 points if you help me
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Anna has 5 muffins but 8 friends coming over. How much will each friend get
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Help?
Simplify. 9√56x^7y^12 Assume x and y are nonnegative.
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Applying the product property of square roots to the expression 9 * √(56) * √(x^7) * √(y^12), we simplify to 18y^6 * √(14x) * |x^3|.
Apply the product property of square roots:
9 * √(56) * √(x^7) * √(y^12)
Evaluate the square root:
9 * 2 * √(2 * 7) * √(x^7) * √(y^12)
Multiply the numbers:
9 * 2 * √(14) * √(x^7) * √(y^12)
Simplify the square root of an exponential expression:
9 * 2 * √(14) * |x^3| * √(x) * √(y^12)
Simplify the square root of an exponential expression:
9 * 2 * √(14) * √(x) * |x^3| * y^6
Apply the product property of square roots to the product of square roots is equal to the square root of the product:
9 * 2 * y^6 * |x^3| * √(14x)
Multiply the numbers:
18 * y^6 * √(14x) * |x^3|
Use k as the constant of proportionality to write the equation expressing the relationship: y varies inversely as x.
If y = 25 and k = 50, what is x?
1/2
2
1,250
Answers
k = xy
Now insert the number we know into the equation. We know y = 25 and k = 50
k = xy
50 = x25
50 = 25x
50 / 25 = 25x/ 25
2 = x
x = 2 <-----answer
Answer: 2
Step-by-step explanation: i got it right :)
Rita earns $17.00 per hour. If she gets a 6% raise, what will be her new hourly wage?
Answers
multiply 17 by 6%
17 * 0.06 = 1.02 increase
17 +1.02 = 18.02 new hourly wage
The perimeter of a triangle is 29 feet where one side of the triangle is twice the length of the shortest side. the largest side is 13 feet more than the shortest side. how long is the shortest side
Answers
3x + x + 13 = 29
4x = 29 - 13
4x = 16
x = 16/4
x = 4
The length of the shortest side is 4 ft
Answer:
The shortest side is 4 feet.
Step-by-step explanation:
The perimeter is the border of a geometric figure and corresponds to the sum of the length of all its sides.
So the perimeter in the case of a triangle is the sum of its three sides:
L₁ + L₂ + L₃ =Perimeter
In this case, the perimeter is known and it is necessary to calculate the value of the shortest side. In that case it will be called L₁. So, you know:
L₁= shortest sideL₂=twice the length of the shortest side → L₂=2*L₁L₃=largest side (13 feet more than the shortest side) → L₃=L₁ + 13Perimeter= 29 feetReplacing:
L₁ + 2*L₁ + L₁ + 13= 29
Solving:
(1+2+1)*L₁ + 13= 29
4*L₁ + 13=29
4*L₁ = 29-13
4*L₁ =16
L₁= 16÷4
L₁=4
The shortest side is 4 feet.
Help me solve this plzz!!Simplify:
Answers
You can use the rule:
[tex](a^b)^c=a^{b*c} [/tex]
So, let's do it:
[tex](27x^6)^ \frac{1}{3} = 27 x^{6* \frac{1}{3} } [/tex]
Simplify:
[tex](27x)^2[/tex]
And there you have it. If you need it one step further, then square 27, but take the parenthesis out.
If you need further help, feel free to ask for it.
b) Imagine that you earned $8,425 in one year. If the government enforces a 15% income tax, how much money would you owe in taxes at the end of the year? Show your work.
Answers
Take 8425 multiply it by 0.15 to get your answer
Answer:
The tax would be $ 1,263.75
Step-by-step explanation:
Given,
Total earning in one year = $ 8,425,
Income tax percentage per year on earning = 15%
Hence, the amount of tax at the end of one year
= 15% of the total earnings
= 15% of 8425
[tex]=\frac{15\times 8425}{100}[/tex]
[tex]=\frac{126375}{100}[/tex]
= $ 1,263.75
For a car rental, the rental agency charges $21.00$21.00 per day, plus $0.23$0.23 for each additional mile above 125125. find a function for the cost of a rental where x is the number of miles driven.
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In a study, the sample is chosen by writing everyones name on a playing card, shuffling the deck, then choosing the top 20 cards what is the sampling method
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Simple random sampling is much better than others because it saves time and it is the most reliable method of obtaining information where every single member of the population is chosen randomly. or by chance. Each has an equal chance to be selected.
SamplingIt is a process applied in statistical analysis in which a predetermined number of observations is taken from a large population.
Given
The sample is chosen by writing everyone's name on a playing card, shuffling the deck, then choosing the top 20 cards.
To find
The sampling method for this condition.
How to choose the sampling method?So, simple random sampling is much better than others because it saves time and it is the most reliable method of obtaining information where every single member of the population is chosen randomly. or by chance. Each has an equal chance to be selected.
More about the sampling link is given below.
https://brainly.com/question/350477
Liz wants to buy a shirt for $25. How much will Liz's shirt cost in Springfield(4.1%) Round up to the nearest cent? Show your work
Answers
4.1/100 = 0.041 %
Next multiply the cost of the shirt before tax by the tax in decimal form:
25 * 0.041 = 1.025
After that you will add the tax cost and the shirt cost:
25 + 1.025 = 26.025
Finally round to the nearest cent:
26.03
Hope this helps and let me know if you have more questions!
In a dilation, the ratio of the length of a side on the image to the length of its corresponding side on the pre-image is called the __________ __________.
A. center of dilation
B. scale factor
C. mapping rule
D. expansion or contraction
Answers
that shuld b d answer
I NEED HELP SOOOO MUCH IM SOOO LOST I WILL GIVE A BRAINLIEST TO THE PERSON WHO INCLUDES ALL WORK, CORRECT ANSWER,AND EVERYTHING MAKES SENSE.
(Variables on both sides of an equation)
Solve: 5(a-1)-15=3(a+2)+4
Answers
Open all parenthesis and distribute
5a - 5 - 15 = 3a + 6 + 4
Simplify
5a - 20 = 3a + 10
Add both sides by 20 and subtract both sides by 3a
2a = 30
a = 15
Putting those back into our equation, we have:
[tex]5a-5-15=3a+6+4[/tex]
Next, we combine all of the constants on either side:
[tex]5a-20=3a+10[/tex]
Finally, we want to get the variable a by itself on one side of the equation, so we perform the following steps to isolate it:
[tex]5a=3a+30[/tex] (Add 20 to both sides)
[tex]2a=30[/tex] (Subtract 3a from both sides)
[tex]a=30/2=15[/tex] (Divide both sides by 2 to isolate a)
So, we obtain our answer of [tex]a=15[/tex].
Use laws of sine to answer
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[tex] \frac{18}{ \sin(32) } = \frac{bc}{ \sin(118) } [/tex]
so:
[tex]bc = \frac{18 \times \sin(118) }{ \sin(32) } \\ bc = 29.991... \\ bc = 30.0 \: (to \: 3 \: sig.figs)[/tex]
Please help me with this
Answers
for an isosceles right triangle the legs would be 2 times the square root of the hypotenuse
so for this:
the legs would be 2sqrt(10)
A number cube is rolled 25 times. A number less than four comes up 20 times. What is the experimental probability that a number less than four is rolled?
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a number less than four came up 20 out of 25 rolls
so the probability was 20/25 which reduces to 4/5
Choose all of the following relationships that represent functions. please help!!
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You CANNOT have one x-value with multiple different y values in the same function. You can however have different x values with the same y value.
Also for reference: independent means x value and dependent means y- value.
The first answer is not a function because as you can see there is one x-value with multiple y values.
second answer IS a function because as I said before you can have different x values with the same y value
third answer is a function again because you can have different x values with same y value
number four isn't a function bc again the -2 x value has 2 different y Values.
The answers are B and C
C;
A couch and coffee table cost a total of $1017. The cost of the couch is two times the cost of the coffee table. Find the cost of each item.
cost of couch:
cost of coffee:
Answers
Answer:
Using the concept of linear equations, we made two equations. Solving those two equations, we find that the cost of couch is $678 and that of coffee is $339.
Step-by-step explanation:
Concept: Let the cost of couch be $x and that of coffee be $y. The total cost is $1017, so,
x + y = 1017
Also, the cost of couch is two times that of coffee. So,
x = 2y
Substitute the value of x in first equation
2y + y = 1017
3y = 1017
y = 339
And, x + y = 1017
x + 339 = 1017
x = 678
Using the two equations, we find that y = $339 and x = $678.
So, the cost of couch is $678 and that of coffee is $339.
For more explanation, refer the following link:
https://brainly.com/question/22052132
#SPJ10
Light travels 9.45 \cdot 10^{15}9.45⋅10 15 9, point, 45, dot, 10, start superscript, 15, end superscript meters in a year. there are about 3.15 \cdot 10^73.15⋅10 7 3, point, 15, dot, 10, start superscript, 7, end superscript seconds in a year. how far does light travel per second?
Answers
We are given that the distance light travel is:
9.45 x 10^15 meters / year
And that there is:
3.15 x 10^7 seconds / year
So the distance light travels per second is:
distance = (9.45 x 10^15 meters / year) * (1 year / 3.15 x 10^7 seconds)
distance = 3 x 10^8 meters / second
The distance of the light travel per second is 3 x 10^8 meters/second
We are given that the distance light travel is
9.45 x 10^15 meters / year
And that there is
3.15 x 10^7 seconds / year
So the distance light travels per second is:
What is the distance light travels per second?It is defined as the distance that light travels in free space in one second.
Therefore we get,
distance = (9.45 x 10^15 meters / year) * (1 year / 3.15 x 10^7 seconds)
distance = 3 x 10^8 meters / second.
Therefore the distance of the light is 3 x 10^8 meters/second.
To learn more about the distance of the light visit:
https://brainly.com/question/9624014#SPJ3
Loretta and her family are going on vacation. Their destination is 610 miles from their home. Loretta is going to share some of the driving with her dad. Her average speed while driving is 55 mph and her dad's average speed while driving is 65 mph. The plan is for Loretta to drive for this first 4 hours of the trip and her dad to drive for the remainder of the trip
Answers
Average driving speed = 55 mph
Time = 4 hours
Distance traveled = 55*4 = 220 miles
Dad:
Average driving speed = 65 mph
Let x = hours driven
Distance traveled = 65x miles
The length of the trip is 610 miles, therefore
65x + 220 = 610
65x = 390
x = 6 hours
Answer: Loretta's dad drove for 6 hours.
Final answer:
To determine how long Loretta's father drives, we deduct the distance Loretta drives (220 miles) from the total trip distance, then divide the remainder (390 miles) by her father's average speed (65 mph), resulting in 6 hours of driving time for her father. The total trip time is 10 hours.
Explanation:
The question is about calculating travel times and distances using average speed. Loretta and her family are traveling 610 miles with Loretta driving the first 4 hours of the trip at 55 mph and her dad driving the remainder at 65 mph. To calculate the distance Loretta drives, we multiply her driving time by her average speed (4 hours * 55 mph = 220 miles). Then, we subtract that distance from the total trip distance to find out how far her dad drives (610 miles - 220 miles = 390 miles). To calculate how long her dad drives, we divide his driving distance by his average speed (390 miles / 65 mph).
Now let's solve the dad's driving time:
390 miles / 65 mph = 6 hours. So, Loretta's dad would drive for 6 hours. The total driving time for the trip is the sum of both Loretta's time and her dad's time: 4 hours + 6 hours = 10 hours.
the quotient of two numbers subtracted from 20
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State the vertex as an ordered pair.
y = -|3x +5|+7
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well, we can check by simply setting it to 0 and solving for x.
[tex]\bf 3x+5=0\implies 3x=-5\implies \boxed{x=-\cfrac{5}{3}}\\\\ -------------------------------\\\\ \textit{therefore, the vertex of }y = -|3x+5|\boxed{+7}\textit{ is at }\left(-\frac{5}{3}~,~7 \right)[/tex]
notice, all you do is, get the x-value that makes the expression to 0, and then append the constant outside it as the y-value, and that's the vertex.
You plan to take $450 u.s. on a trip to south africa. how many rands is this if one u.s. dollar equals 3.70 rands?
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$450 is the same as 450 * $1, so multiply both sides of the conversion equation above by 450.
450 * $1 = 450 * 3.70 rand
$450 = 1665 rand
Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?
Answers
Answer:
[tex]y=-3x+14[/tex], slope intercept form
[tex]3x+y =14[/tex], standard form
Step-by-step explanation:
[tex]y + 1 = -3(x - 5)[/tex]
We need to write the given equation in slope intercept form or standard form
slope intercept form is [tex]y=mx+b[/tex]
To get slope intercept form , we need to get y alone
[tex]y + 1 = -3(x - 5)[/tex] ( multiply -3 inside the parenthesis )
[tex]y+1=-3x+15[/tex] , subtract 1 on both sides
[tex]y=-3x+14[/tex]
Standard form is [tex]Ax + By = C[/tex]
To get standard form we keep x term and y term on the left hand side
[tex]y=-3x+14[/tex]
Add 3x on both sides
[tex]3x+y =14[/tex]
Suppose △ ITH ≅ △ APG
Which congruency Statement is true?
A) IH ≅ AG
B) TH ≅ AG
C) IT ≅ AG
D) TH ≅ AP
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F: First
O: Outer
I: Inner
L: Last
Statement A is true. IH and AG in the FOIL method is the Outer.
Answer: A) IH ≅ AG
Step-by-step explanation:
A property of congruent triangles is known as CPCTC which says that the congruent parts of the corresponding triangle are congruent.
We are given that Δ ITH ≅ Δ APG , then the every part of Δ ITH must be congruent to the corresponding part of Δ APG.
i.e. Corresponding sides of Δ ITH and Δ APG are congruent.
Since Side IH in Δ ITH is corresponding to side AG in Δ APG [First and last letter]
Then, IH ≅ AG
What is the percent increase from 42 acres to 72acres
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The areas of: FGHM is 12, MHIJ is 36, EFNL is 24, LNJK is 48. EGIK is a rectangle cut into the rectangles with given areas. What is the area of the shaded quadrilateral EMIN?
Answers
Overall area of quadrilateral EGIK is 12+36+24+48 = 120. I'll call the length of EK to be w, and EG to be h, representing width and height.
The line FJ splits EGIK into EFJK and FGIJ which have areas of 72 and 48 respectively. Since EFJK and FGIJ have the width, their heights have to be in the ratio of 72/48 = 3/2. So GF = 2h/5 and EF = 3h/5
Now FGHM and MHIJ share the same height, so their widths have to be in the ratio 12/36 = 1/3, so GH = w/4 and HI = 3w/4
And EFNL and EMIN also share the same height, so their widths have to be in the ratio 24/48 = 1/2, so EL = w/3 and LK = 2w/3.
So the length of MN will be FN - FM. And FN is the same as EL which is w/3, and FM is the same as GH which is w/4. So
w/3 - w/4 = 4w/12 - 3w/12 = w/12
If you look at quadrilateral EMIN, you'll see that it's area is the sum of triangles MNI and MNE. And the area of a triangle is 1/2 bh. And conveniently, we have MN as the base with a length of w/12 for both triangles.
area MNI = 1/2 MN * GF = 1/2 * w/12 * 2h/5 = 2hw/120
area MNE = 1/2 MN * EF = 1/2 * w/12 * 3h/5 = 3hw/120
And their sums are 2hw/120 + 3hw/120 = 5hw/120.
And hw is the total area of EGIK which is 120. So we get:
5 * 120/120 = 5 * 1 = 5
So the area of quadrilateral EMIN is 5.
How many solutions are there to the following system of equations? Use any method you like, but be sure to show all work.
4x – 14y = 6
–2x + 7y = –3
Please please help! I'm really bad at this! Please show your work so I can understand
Answers
-2*-2x + -2*7y = -2*-3 simplifies to
4x - 14y = 6, which is the top equation!
If you have one equation with two variables, it is typically not solvable with one set of solutions. x=5 and y=1 is a solution, but so is x=12 and y=3. Those are just two examples.
PLEASE ANSWER WORTH 99 POINTS
Each serving of a cereal is 80 calories. Which expression can be used to find the number of calories in 3 servings?
80 x 3
80 divided by 3
3 divided by 80
80 - 3
Answers
80/3=26.66
3/80=0.0375
80-3=77