88 degrees is the answer. You would start by setting up the equation as (5x+7)+(8x+8)+(3x+5)=180 because all angles of a triangle have a sum of 180 degrees. From there you combine like terms which would leave the answer of being 16x+20=180 then you subtract the 20 from 180 to get x by itself. Then that would leave you with 16x=160 then you divide both sides by 16 to get x=10. From there you plug 16 into the x in the planetarium equation which is 8(10)+8 which equals 88 degrees
Answer:
9
Step-by-step explanation:
A composite number is a positive integer. which is not prime. The first few composite numbers (sometimes called "composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16, ...
Answer:
16 feet
Step-by-step explanation:
As said in the problem statement, the angles between the top of the house, the mirror, and the ground and between Sarah's eyes, the mirror, and the ground are congruent.
We also know that Sarah and the house are perpendicular to the ground.
So if we draw a triangle from the top of the house, to the mirror, to the bottom of the house, and another triangle from Sarah's eyes, to the mirror, to Sarah's feet, we get two triangles that have the same angles. Therefore, the triangles are similar, and we can write a proportion:
4 / 5 = h / 20
h = 16
The house is 16 feet tall.
