Answer:
![C = 28.9](https://tex.z-dn.net/?f=%20C%20%3D%2028.9%20)
Step-by-step explanation:
Given the right angled triangle, ∆BCD, you are required to find the measure of angle C.
Apply the trigonometric ratio formula to find m < C.
Adjacent side = 7
Hypotenuse = 8
Trigonometric ratio formula to apply would be:
![cos(C) = \frac{7}{8}](https://tex.z-dn.net/?f=%20cos%28C%29%20%3D%20%5Cfrac%7B7%7D%7B8%7D%20)
![cos(C) = 0.875](https://tex.z-dn.net/?f=%20cos%28C%29%20%3D%200.875%20)
![C = cos^{-1}(0.875)](https://tex.z-dn.net/?f=%20C%20%3D%20cos%5E%7B-1%7D%280.875%29%20)
![C = 28.9](https://tex.z-dn.net/?f=%20C%20%3D%2028.9%20)
(To nearest tenth)
The way the angles are labeled tell you that they are all congruent. The two triangles you see here also share the side that joins them. Then by the angle-side-angle postulate, the two triangles are congruent, so x + 23 = 13, or x = -10.
Answer:
-35/3
Step-by-step explanation:
-2(3x-2) + 3x + 3 = 34
-6x-4+3x+3=34
-3x-1=34
-3x=35
x=-35/3
Answer:
7x + 14y + 2
Step-by-step explanation:
(3x+8y+8)+(4x+6y-6)
3x + 8y + 8 + 4x + 6y - 6
3x + 4x + 8y + 6y + 8 - 6
7x + 14y + 2
Answer:
Last year’s price = $2.96
Step-by-step explanation:
Given:
Current price of gasoline = $3.40
Higher rate = 15%
Find:
Last year’s price
Computation:
Last year’s price = Current price of gasoline [100 / (100 + 15)]
Last year’s price = Current price of gasoline [100 / (115)]
Last year’s price = $3.40 [100 / (115)]
Last year’s price = 2.95652
Last year’s price = $2.96