Answer: 13
Step-by-step explanation:
180 - (154 + 13) = 13
the triangle is isosceles
2x + 12 = 20
2x = 32
32/2x
X= 16
Answer:

Step-by-step explanation:
There is a typo in the question, the lengths of the sides of the prism are:
24 cm
9 cm
17 cm
(otherwise, if all sides were 9 cm, it would be a cube, not a prism)
The volume of a rectangular prism is given by:

where:
l is the length of the prism
w is the width of the prism
h is the height prism
In this problem,
(length)
(width)
(height)
Therefore, the volume of the prism is:

Answer:
256π
Step-by-step explanation:
Given that:
The height of the cylinder: 12 cm
The radius of the sphere : 10
Let r is the radius of the cylinder, use Pytagon
10² = r² + 6²
<=> r² = 10² - 6² = 64
<=> r = 8
Hence, the lateral area of the cylinder
L= 2πrh
= 2π8*16
= 256π
Answer:
$91.75
Step-by-step explanation:
Jessica is paid:
- $0.45 per basket for the first 100 baskets picked;
- $0.50 per basket for all baskets over 100 picked.
1st day:
Jessica picked 65 baskets of oranges (less than 100)
Jessica is paid 
2nd day:
Jessica picked 135 baskets of oranges (35 more than 100)
Jessica is paid 
Altogether Jessica is paid
