Enter your answer and show all the steps that you use to solve this problem in the space provided.
2 answers:
Answer:
z = 120
Step-by-step explanation:
The given equation is z ÷ 12 = 10
Here we need to solve for z.
Since we have 12 in the division we need to inverse operation of division to get rid off 12.
The inverse operation of division is multiplication. So we need to multiply both sides by 12, we get
z = 120
<u>Check</u>
120 ÷ 12 = 10
10 = 10
True
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<h3>Answer: 73</h3>
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Work Shown:
Check out the diagram below. Note the pair of alternate interior angles that are congruent (each 37 degrees). Then focus on triangle ABC. With the reference angle being at A, this means we use the tangent function because BC = x is the opposite side and AB = 97 is the adjacent side.
tan(angle) = opposite/adjacent
tan(A) = BC/AB
tan(37) = x/97
97*tan(37) = x
x = 97*tan(37)
x = 73.094742859971
For the last step, you'll need a calculator that can handle trig functions. Make sure the calculator is in degree mode. The result here is approximate. This rounds to 73 when rounding to the nearest whole number.