Answer:
x = 27
Step-by-step explanation:
To find the value of x, create a proportion. A proportion is two equal ratios for similar figures. The two triangles are similar because they are the same shape but not the same size. Create ratios between corresponding sides of figures.

To solve for x, cross multiply:
(x+8)(14) = (10)(2x-5)
14x + 112 = 20x -50
112 = 6x - 50
162 = 6x
27 = x
9514 1404 393
Answer:
15/17
Step-by-step explanation:
cos(arctan(8/15)) = 15/17
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You could assume the ratio values 8 and 15 represent the opposite and adjacent sides of a right triangle. Then the hypotenuse is ...
h = √(8² +15²) = √289 = 17
The cosine is the ratio of the adjacent side to the hypotenuse, so is ...
cos(x) = 15/17
The geometry technique that Chee uses to find the height of the goalpost is the equal ratio of the corresponding sides of similar triangles.
Correct response:
- The eight of the goalpost is approximately <u>16.91 meters</u>.
<h3>Methods used to calculate the height</h3>
The length Chee is using the mirror to measure = The height of her school's football goalpost
The distance of the mirror from the goalpost = 14.35 meters
The distance on the other side of the mirror Chee steps to = 1.4 meters
The distance from her eyes to the ground = 1.65 meters
Required:
How tall is the goalpost.
Solution:
By using similar triangles relationships, we have;

Which gives;

- The height of the goalpost, h ≈ <u>16.91 meters</u>
Learn more about similar triangles here:
brainly.com/question/10676220
Y≥x²+x-4
y>x²+2x+1
Substitute (0,0):
0≥-4 true
0>1 false
(0,0) is not a solution of the system.
Answer:
C (y=5x-7)
Step-by-step explanation:
First, you find the slope between the 2 points which is 5, then you use one of the points to form an equation.
You then find it's y=5x-7.