Answer: The perimeter is 95 + 15 sqrt 3, and the area is 600 + 35 sqrt 3 / 2
Step-by-step explanation:
We can draw an imaginary line to form a 30 60 90 triangle. The ratio of side lengths in this special triangle is 1 sqrt 3 2. We are given that the side length opposite to 60 degrees is 15. 15 divided by sqrt 3 is equal to 5 sqrt 3. Now, to find the diagonal we can do 5 sqrt 3 * 2 = 10 sqrt 3. So now, we can find the perimeter. The perimeter is equal to 15 + 40 + 40 + 5 sqrt 3 + 10 sqrt 3 = 95 + 15 sqrt 3. Now, we can find the area. The area can be split into the rectangle's area and the triangle's area. The rectangle's area is 15 * 40 = 600. The triangle's area is 15 * 5 sqrt 3 / 2 = 35 sqrt 3 / 2. The total area is 600 + 35 sqrt 3 / 2.
10=-x-8-6
10=-x-14
Add x to each side
10+x=-x-14+x
10+x=-14
Subtract 10 to each side
10+x-10=-14-10
x=-24
Check:
10=-x-8-6
Substitute x with -24
10=-(-24)-8-6
10=24-8-6
10=16-6
10=10. As a result, x=-24. Hope it help!
7/8 divided by 1/2
copy dot flip
7/8 * 2/1
14/8
divide by 2 on top and bottom
7/4
7/8 ÷ 1/2 = 7/4
Choice A
