Answer:
111°
Step-by-step explanation:
- All these are parallel lines, so the 36° angle is equal to the 36° angle inside the big triangle because they are vertically opposite.
- Ignore the line cutting between 45° and the 30° and consider it as one triangle
- Add them to get 75°
- Now you have two known angles 75° and 36°
- To get angle <em>x</em><em> </em>add 75° and 36° to get 111°
- Because x° is an exterior angle and exterior angles equal to the sum of interior angles opposite it inside the triangle.
The two triangles we can see in the diagram are similar, which means that their measurements are proportional. Line MN on the larger triangle MNP is 71.5ft long, and its corresponding line, MA, on the smaller triangle is 71.5-22= 49.5ft long. This means that the scale factor from the bigger to the smaller triangle is 71.5/49.5=13/9.
If line MP on the bigger rectangle is 97.5ft long, then its corresponding line, MB, must be 97.5÷13/9=67.5 ft long.
Therefore, x=67.5 ft
B, D, A
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Answer:
1st question
A) no the table does not represent a linear function
B) the slope ( average rate of change)is 2
2nd question
A) yes the table represent a linear function
B) the slope( average rate of change) is 6
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Answer:
x = 15.3°
Step-by-step explanation:
Trig identities:

where
- x = angle
- O = side opposite the angle
- A = side adjacent the angle
- H = hypotenuse
