Answers
--------------------------------
Explanation:
The three angles are 42, 73 and 65 degrees. Let's call them x,y, and z respectively
x = 42
y = 73
z = 65
To find an exterior angle for x, we subtract the given angle x from 180
180-x = 180-42 = 138
The exterior angle adjacent to angle x is 138 degrees. This isn't listed so we move on
Do the same for y
180-y = 180-73 = 107
This isn't listed either. So we move on
Repeat for angle z
180-z = 180-65 = 115
This is listed as choice C. That's why choice C is the answer
Related Questions
Graph y+6=4/5(x+3) using the point and slope given in the equation. Use the line tool and select two points on the line.
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Answer:
Look at pic...
The points were (-3,-6) and (2,-2)
Step-by-step explanation:
You could just use desmos graphing calculator
The equation of a line is a form of representing the set of points, which form a line in a coordinate system.
The two points on the line are (0, -3) and (1, -11/5).
What is equation of a line?The equation of a line is a form of representing the set of points, which form a line in a coordinate system.
The general equation of a straight line is given as:
y = mx + c,
where m = slope of the line and c = y-intercept.
We have,
y + 6 = 4/5 ( x + 3 )
Subtract 6 on both sides.
y = 4/5 ( x + 3 ) - 6
y = (4/5)x + 4/5 x 3 - 6
y = (4/5)x + 12/5 - 6
y = (4/5)x + (12 - 30)/6
y = (4/5)x - 3
The y-intercept is at -3.
We have a point as (0, -3).
For x = 1,
y = (4/5) x 1 - 3
y = 4/5 - 3
y = (4 - 15) / 5 = -11/5
The other point is (1, -11/5)
Thus,
The two points on the line are (0, -3) and (1, -11/5).
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Solve the compound inequality shown below. Show steps.
-4< 3x -1<5
Answers
-4+1<3x-1+1<5+1
-3x<3x<6
-3/3<3x/3<6/3
=-1hope this helps!
What is the remainder when the polynomial 8x^2+4x−3 is divided by 2x−1?
Answers
Answer:
1
Step-by-step explanation:
Given: A polynomial [tex]8x^{2} +4x-3[/tex] is divided by another polynomial [tex]2x-1[/tex]
To find: Remainder when [tex]8x^{2} +4x-3[/tex] is divided by [tex]2x-1[/tex]
Solution:
To find the remainder when [tex]8x^{2} +4x-3[/tex] is divided by [tex]2x-1[/tex]
First, equate [tex]2x-1[/tex] with 0.
Now, [tex]2x-1=0[/tex]
[tex]\implies2x=1[/tex]
[tex]\implies x=\frac{1}{2}[/tex]
Now, to find the remainder put [tex]x=\frac{1}{2}[/tex] in [tex]8x^{2} +4x-3[/tex]
So, we have
[tex]8\times(\frac{1}{2})^{2}+4(\frac{1}{2} )-3[/tex]
[tex]=8\times\frac{1}{4} +2-3[/tex]
[tex]=2+2-3[/tex]
[tex]=4-3[/tex]
[tex]=1[/tex]
Hence, the remainder is 1.
Sue spent $40 on one pair of shoes and earned $35 baking cookies. Write an expression using positive and/or negative integers to represent this situation. Evaluate the expression and interpret what it means.
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Jane has a 5x7 inch photograph that she wants enlarged to a 10x14inch photograph. What is the scale factor from the original photograph to the enlarged photograph?
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What are the x-intercepts of the graph of the function below? y=x^2+4x-32
Answers
Let me know if you want to know why
Answer:
Option B is correct.
Step-by-step explanation:
Given Function is,
y = x² + 4x - 32
X-intercepts of the graph of given function is the solution of the equation when y is equal to 0 is substituted.
y = 0
x² + 4x - 32 = 0
x² + 8x - 4x - 32 = 0
x ( x + 8 ) - 4 ( x + 8 ) = 0
( x + 8 ) ( x - 4 ) = 0
x + 8 = 0 and x - 4 = 0
x = -8 and x = 4
So x-intercept are ( -8 , 0 ) and ( 4 , 0 )
Therefore, Option B is correct.
Which is bigger, 978 centimeters or 12 meters?
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Perimeter of the rectangular playing field is 470 yards. the length of the field is 5 yards less than triple the width, what are the dimensions of the playing field
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P = 470
L = 3W - 5
470 = 2(3W - 5 + W)
470 = 2(4W - 5)
470 = 8W - 10
470 + 10 = 8W
480 = 8W
480/8 = W
60 = W <==== width is 60 yards
L = 3W - 5
L = 3(60) - 5
L = 180 - 5
L = 175 <==== length is 175 yards
Heather and her family are going to the grand opening of a new amusement park. There is a special price on tickets this weekend. Tickets cost $42 each. This is 70% of the cost of a regular price ticket. What is the cost of a regular price ticket? Please explain! thanks!
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A bakery offers a sale price of $2.55 for 4 muffins. What is the price per dozen? The price per dozen muffins is $ .
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Final answer:
To find the price per dozen, divide the sale price of $2.55 by 4 to get the price per muffin, then multiply by 12. The price per dozen muffins is $7.65.
Explanation:
To calculate the price per dozen muffins at the bakery when the sale price is $2.55 for 4 muffins, you first need to determine the price of one muffin. You can do this by dividing the sale price by the number of muffins in the offer:
$2.55 ÷ 4 = $0.6375 per muffin.
Next, because a dozen consists of 12 items, you would find the price per dozen by multiplying the price per muffin by 12:
$0.6375 × 12 = $7.65
Therefore, the price per dozen muffins is $7.65.
A store owner ordered 132 boxes of erasers. There are 8 erasers in each box. Use place value and expanded form to write an expression that shows how to multiply 8 x 132.
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[tex]8\times132=8\times100+8\times30+8\times2 \\ \\ =800+240+16=1,056[/tex]
What is the reason for Statement 2 of the two-column proof?
a) Linear Pair Postulate
b) Definition of angle
c) Definition of bisect
d) Angle Addition Postulate
Answers
We have been given that PQ bisects [tex]\angle RPS[/tex]. In the second statement of the given two-column proof, the statement is [tex]\angle RPQ\cong\angle QPS[/tex].
This implies that the two angles formed by bisection of angle [tex]\angle RPS[/tex] by the line PQ are equal. We know that the reason for this is simple. It is the definition of bisection of an angle that the two smaller angles formed will be equal to each other.
Therefore, the reason for statement 2 of the given two column proof is c) Definition of bisect
96 points here, having to ask same question again - please help a brother out.
Verify each trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side of the equation. Show your work.
1. cot x sec^4 x = cot x + 2 tan x + tan^3 x
2. (sin x)(tan x cos x - cot x cos x) = 1 - 2 cos^2 x
3. 1 + sec^2 x sin^2 x = sec^2 x
4. ((sin x)/(1-cos x)) + ((sin x)/(1+cos x))=2csc x
5. - tan^2 x + sec^2x = 1
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the equation is - tan2 x + sec2 x = 1.
Left hand side identity : - tan2 x + sec2 x.
Trigonometric function : tan x = sin x / cos x,
Reciprocal identity : sec x = 1/cos x.
- tan2 x + sec2 x = - (sin x/cos x)2 + (1/cos x)2
= - sin2 x/cos2 x + 1/cos2 x
= (1 - sin2 x)/cos2 x
Pythagorean identity : sin2 x + cos2 x = 1 .
= cos2 x / cos2 x
= 1
135in.=___ft ___ in.
convert
Answers
1 foot = 12 inches
135 / 12 = 11.25 feet 0.25 feet = 0.25 * 12 = 3 inches
answer is: 11 feet 3 inches
Bananas cost $0.70 each, and peaches cost $0.90 each. If you want to spend exactly $21.20 at the stand and you need to buy 11 bananas, how many peaches can you buy? Write an equation in standard form modeling this situation then see how many peaches you can buy. Let be represent the number of bananas you buy and p represent the number of peaches you buy. [2 points]
Standard Form Equation: _______________________
p = ________
Answers
You can buy 15 peaches, P = 15.
Plugging 11 in for b (equation above), you have spent $7.70 on bananas. Subtract this number from $21.20 to find that you have $13.50 left over for peaches. Divide 13.5 by 0.9 (since peaches cost 90 cents each), and your answer is 15.
With $21.20, you can buy 11 bananas and 15 peaches.
Can you show me the steps for this equation and answerF(x)=(x-3)^2+2
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11
1. Apply the quadratic formula
2. Remeber to expand the equation
You will get x^2-6x+11, and after applying the formula, you will get imaginary numbers. I don't know if this problem is right, sorry.
As children grow, dosages for medications gradually approach those for adults. Clark’s rule is often used to determine the correct dosage for children.
Child’s dose = Adult dose x (Weight of child in pounds)/(150 pounds)
What dosage should be administered to a child weighing 28 pounds if the adult dose of a certain drug is 80 milligrams? Round your answer to the nearest whole milligram.
How much would a child have to weigh to receive the adult dosage? Explain why your answer is reasonable.
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Please help with this question thank you!
Answers
x = 6
6 + 5 = 11 or B
The sum of three consecutive integers is 16 more than 2 times the smallest integer. find the integers
Answers
sum of three consecutive integers is 1 more than 2 times the smallest integer
(x) + (x + 1) + (x + 2) - 16 = 2x
3x + 3 - 16 = 2x
3x -13 = 2x
-13 = -x
13 = x
The smallest integer is 13, the second integer is 14, the third integer is 15
"The sum of three consecutive integers..." From this, we know we'll be adding all three of our integers together, so let's collect those:
[tex]a+(a+1)+(a+2)=3a+3[/tex]
"...is 16 more than 2 times the smallest integer." Translating that into math: "is" is shorthand for "equals," "16 more than" means we'll be adding 16 to some value, and "2 times" obviously implies multiplication plus two. Finally, the smallest integer we have is [tex]a[/tex], so let's compose these facts into a full expression and combine them with our sum above to form a complete equation:
[tex]3a+3=2a+16[/tex]
From here, all that's left is to solve for [tex]a[/tex]. Once you have that value, [tex]a[/tex], [tex]a+1[/tex], and [tex]a+2[/tex] will be your integers.
Shelly can cut a lawn with a riding mower in 22 hours less time than it takes william to cut the lawn with a push mower. if they can cut the lawn in 33 hours working together find how long to the nearest tenth of an hour it takes for william to cut the lawn alone.
Answers
n-2 hours. So:
1/n+1/n-2=1/3
3(n-2)+3n=n²-2n
6n-6=n²-2n
n²-8n+6=0
Using the quadratic formula, we get a positive value of 7.1623 hrs as the amount of time william takes working alone, and 5.1623 as the amount of time Shelly takes working alone
☺☺☺☺
how do you graph a function
Answers
Mr. Rose spent $63 for a sport jacket and a pair of slacks. If the jacket cost $33 more than the slacks, how much did he pay for each?
Which system of equations represents the word problem if j is the jacket price and s is the price of the slacks?
j + s = 63 and s - j = 33
j + s = 63 and j - s = 33
js = 63 andj/s = 33
Answers
we know that the total is 63, and the jacket cost s+33
it is addition and subtraction, so we can cancel the last one. j is more than s, so we would go with your second option, j + s = 63 and j - s = 33.
Can I plz have brainliest?
Answer:
The system of the equations is: j+s=63 and j-s=33
The Jackets price is j=48
The slacks prices is s=15
Step-by-step explanation:
You know for the problem that:
j+s=65
And
j= s+33; from this equation you get j-s=33
Then you replace j "j=s+33" in the first equation:
(s+33)+s=63
2s+33=63
2s=63-33
s=(63-33)/2
s=15
and you know that: j=s+33
Then, j=15+33=48
and j+s=63
48+15=63
The graph of a proportional relationship contains the point (8, 4).
What is the corresponding equation?
Enter your answer as a fraction in simplest form
Answers
△VAT≅△BDT.
¯¯¯¯¯
What is length of BT ?
Answers
Answer:
[tex]BT=6.3[/tex]
Step-by-step explanation:
We have been given that triangle VAT is congruent to triangle BDT. We are asked to find the length of segment BT.
Since both triangles are congruent, therefore, their corresponding sides will be equal by the definition of congruence.
[tex]\Delta VAT\cong \Delta BDT[/tex]
By the definition of congruence:
[tex]VA=BD[/tex]
[tex]AT=DT[/tex]
[tex]VT=BT[/tex]
Since the length of side VT is 6.3 units, therefore the length of BT is 6.3 units as well.
The length to width ratio of a wide-screen tv is 16:9. if a tv is 30 inches long, how wide is it?
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what is 7,925 divided by 72?
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David cycles x km in 3 hours. if he maintains the same average speed, how far can he cycle in 12y minutes
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David can cycle [tex]\( \frac{xy}{15} \)[/tex] kilometers in 12y minutes if he maintains the same average speed.
To find out how far David can cycle in 12y minutes, we first need to convert the time from minutes to hours, since David's speed is given in kilometers per hour.
Since there are 60 minutes in an hour, we can convert 12y minutes to hours by dividing by 60:
[tex]\[ \text{12y minutes} = \frac{12y}{60} = \frac{y}{5} \text{ hours} \][/tex]
Now, we know that David cycles x kilometers in 3 hours, so we can find his average speed:
[tex]\[ \text{Average speed} = \frac{\text{Distance}}{\text{Time}} \]\[ \text{Average speed} = \frac{x \text{ km}}{3 \text{ hours}} \][/tex]
Now, using the average speed, we can find the distance David can cycle in [tex]\( \frac{y}{5} \)[/tex] hours:
[tex]\[ \text{Distance} = \text{Average speed} \times \text{Time} \]\[ \text{Distance} = \left( \frac{x}{3} \right) \times \left( \frac{y}{5} \right) \]\[ \text{Distance} = \frac{xy}{15} \][/tex]
Ian wants to promote his band on the internet. Site a offers website hosting for $4.95 per month with a $49.99 startup fee. Site b offers website hosting for $9.95 per month with no startup fee. Write and solve an inequality to determine how many months lan could have his wedsite on site b and still keep his total cost less than site a
Answers
Site A: $49.95 plus $59.40(4.95 x 12) equals $109.35
Site B: $9.95 x 12 equals $119.40
No, wait that's not right.
Okay, at 8 months, site A is pretty much at $90 (forget the nickels) and site B is $80 so site B is less.
At 7 months, site A is $85 and site B is $70 so site B is less.
At 9 months, site A is $95 and site B is $90 so site B is less.
At 10 months, site A $100 and site B is $100
It's got to be around 10 months somewhere.
Ten months would be $99.45 for site A and $99.50 for site B so B is less.
Eleven months is $104.40 for A and $109.45 for B so now B is more.
Ian could have his website on site B for less than 10 months for it to be cheaper than hosting on site A.
Explanation:To solve this question, we need to find when the costs between site a and site b equal each other. Since site a charges $4.95 per month plus a $49.99 startup fee, the cost of site a can be modelled by the equation: 4.95x + 49.99. Site b charges $9.95 per month with no startup fee, so its cost can be modelled by the equation 9.95x. We can now set up the inequality as follows:
4.95x + 49.99 > 9.95x
To solve for x, we will subtract 4.95x from both sides of the inequality, getting 49.99 > 5x. Finally, we divide each side by 5 to solve for x, resulting in x < 10. So Ian could have his website on site b for less than 10 months and still keep his total cost less than site a.
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List the next three terms in the following sequence: 1, 2, 4, 8, 16, 32,... a. 48, 80, 128 b. 64, 96, 160 c. 64, 128, 256 d. 46, 92, 184
Answers
because they are doubling
PLZ Help I really need to know how to do this
SKIING The distance in meters that a person
travels on skis can be modeled by d(t) = 0.2t^2 + 3t,
where t is the time in seconds. Use the Remainder
Theorem to find the distance traveled after 45
seconds.