X=8 which is her age
8 is her cousin age
16 is Amy's age and the sum
Is 32
The area of the carpet must be <u>greater than 20 square yards</u> for which Rugs Emporium charges more than Carpets 4U.
<u><em>Explanation</em></u>
Suppose, the number of square yards of carpet is 
Rugs Emporium charges $80 plus $9.50 per square yard of carpet. So, the total charge for
square yards of carpet 
Carpets 4U charges $120 for installation and $7.50 per square yard of carpet. So the total charge for
square yards of carpet 
If the Rugs Emporium charges more than Carpets 4U , then the inequality will be.....

So, the area of the carpet must be greater than 20 square yards for which Rugs Emporium charges more than Carpets 4U.
Step-by-step explanation:
25 - 2(5 + 4x)
= 25 - 10 - 8x (Distributive Property)
= 15 - 8x.
Answer:
<em>h = 8.54 units</em>
Step-by-step explanation:
<u>The Law of Cosines
</u>
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

Since we know the values of all three side lengths, we solve the equation for x:

For the triangle ABC in the image, a=10, b=15, c=13, thus:



Thus, A = 58.67°
For the right triangle of height h and hypotenuse 10, we use the sine ratio:

Solving for h:

h = 8.54 units