Solve for x in the triangle. Round your answer to the nearest tenth.

x = 6.9

Step-by-step explanation:

We're going to use SOH CAH TOA.

If we look at the angle (58°), and see what the relevant sides of the triangle are, we can see that the hypotenuse (our known side) is the H (hypotenuse), and the side labelled 'x' (our unknown side) is the A (adjacent).

According to SOH CAH TOA, we'll use cos (C), since we're working with the adjacent and the hypotenuse.

The equation for CAH is cos (Ф°) = A/H

In this case, Ф = 58°, A = x, and H = 13

So cos (58°) = x/13

Solve for x by multiplying both sides by 13 and using your calculator to evaluate.

13 cos (58°) = x

x = 6.88895

To the nearest tenth, x = 6.9

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42