Question

Find the number that belongs

in the green box.

Round your answer to the nearest tenth.

Answer 1

1.2 (to one tenth)

Explanation:

Hope that helps :-)

Answer 2

Explanation:

Remark

You are going to have to find the angle on the lower right before you can get the answer. Call the angle on the lower right = x

Equation

Sin(60)/7 = sin(x) / 3

Solution

3 * sin(60) / 7 = sin(x)

Sin(60) = 0.866

3*0.866 / 7 = sin(x)

sin(x) = 0.3712

x = sin-1(0.3712)

x = 21.79

Now calculate the 3rd angle call it y

y + 21.79 + 60 = 180

y + 81.79 = 180

y = 180 - 81.79

y = 98.21

Now use the sin law again.

Let ? = z

z/sin(98.21) = 7/sin(60) Multiply both sides by sin(98.21)

z = 7 * sin(98.21) / sin(60)

z = 6.9282 / sin(60)

z = 8

? = 8