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aleksley [76]
2 years ago
7

Given the lines a and b are parallel and that m<8=180, find

Mathematics
1 answer:
anygoal [31]2 years ago
7 0

Answer:

  • D) 72°

Step-by-step explanation:

Sum of angles 7 and 8 is 180° as they are supplementary

Angles 7 and 3 are corresponding angles and they measure same as per property of corresponding angles, therefore:

  • m∠3 = m∠7
  • m∠7 = 180° - m∠8 = 180° - 108° = 72°
  • So m∠3 = 72°

Option D is correct

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A regular pentagon ABCDE is shown work out angle x
kow [346]

Answer:

108 degrees inside each corner

Step-by-step explanation:

360/5=72

180-72=108

5 0
3 years ago
How many solutions does this linear system have?
Talja [164]
The answer would be A: -2.5, 0
4 0
2 years ago
If 97 of 200 is 100% then how much of 200 is 112%
pickupchik [31]
To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 112 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 112 is 100%, so we can write it down as 112=100%.
4. We know, that x is 200% of the output value, so we can write it down as x=200%.
5. Now we have two simple equations:
1) 112=100%
2) x=200%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
112/x=100%/200%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 200% of 112

112/x=100/200
(112/x)*x=(100/200)*x - we multiply both sides of the equation by x
112=0.5*x - we divide both sides of the equation by (0.5) to get x
112/0.5=x
224=x
x=224

now we have:
200% of 112=224



●I tried my best I was never good with percentages my least favorite.... Please let me know if you got it wrong. If you do I'm sorry.
3 0
3 years ago
Jordan will hike the trail shown at a rate of ​mi/h. Write a linear equation to represent the distance Jordan still has to walk
agasfer [191]

Answer:

<em>y = (-mi/h)x + b</em>

y = total distance left to cover

-mi/h = speed at wich he is covering ground

b = the total distance to cover from start to finish

Step-by-step explanation:

Slope Intercept form without other variables filled is shown like this with <em>mx </em>being the slope and <em>b </em>being the y intercept

<em>y = mx + b</em>

all we need to do is fill in known variables with hours multiplied by <em>x </em>represented as <em>m</em>...

<em>y = (-mi/h)x + b</em>

note the negative symbol, this shows that the higher that miles an hour (mi/h) aka speed is, the more distance he will cover REDUCING the distance to cover faster meaning the line will slope DOWNWARD

<em>b</em> would be the the total distance that he has started with, meaning on the point where the line crosses the y axis, the number it crosses at will represent how much he has started with

7 0
2 years ago
Estefani‘s house is at point E (3,-2) and Jasmin’s house is at point J (-5,3). Jasmin’s house is the Mid-point of Estefani’s hou
iren [92.7K]

The formula for midpoint is

(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})

Look at the image below to see the line segment of Estefani's (A), Jasmin's (M), and Preston's (B) houses. Keep in mind that the segment shown below is not accurate in regards to how the line segment formed by Estefani's, Jasmin's, and Preston's houses. It is simply there so you can picture the segment better.

In this case:

x_{1} =3\\x_{2} =unknown\\y_{1} =-2\\y_{2} =unknown

^^^Plug in these number into the formula given above...

(\frac{3+x}{2}, \frac{-2 + y}{2})

To find what x is (a coordinate of Preston's house) you must take the x-value part of the midpoint equation (\frac{3+x}{2}) and set it equal to the x-value of the midpoint (-5). Then you must solve for x:

\frac{3+x}{2} = -5

3 + x = -5 * 2

3 + x = -10

x = -10 - 3

x = -13

To find what y is (a coordinate of Preston's house) you must take the  y-value part of the midpoint equation(\frac{-2 + y}{2}) and set it equal to the y-value of the midpoint (3). Then you must solve for y:

\frac{-2 + y}{2} = 3

-2 + y = 3 * 2

-2 + y = 6

y = 6 + 2

y = 8

The coordinate of Preston's house is:

(-13, 8)

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0
2 years ago
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