Answer:
60
Step-by-step explanation:
Area of trapezoid:

The top base of the trapezoid is given as 7 cm. The bottom base of the trapezoid can be found with 7+5+5 = 17 cm. The height is given as 5 cm. Then, plug these values into the formula.

= 
= 
= 60
Answer:
Step-by-step explanation:
<u>In right triangle sum of two angles is 90°</u>
- 4x + x = 90°
- 5x = 90°
- x = 90°/5
- x = 18°
<u>Angle y is exterior angle and equals non-adjacent interior angles</u>
- y = 4x + 95° =
- 4*18° + 95° =
- 72° + 95° =
- 167°
Number of ways to select 3 books from 13 books for adoption is 286 .
<u>Step-by-step explanation:</u>
A Permutation is an ordered Combination. When the order does matter it is a Permutation. There are basically two types of permutation:
- Repetition is Allowed: such as the lock above. It could be "333".
- No Repetition: for example the first three people in a running race. You can't be first and second.
Formula is given by:
, where n is the number of things to choose from, and we choose r of them, no repetitions, order matters. Here , n=13 , r=3.
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
∴ Number of ways to select 3 books from 13 books for adoption is 286 .
Answer:
y = 15x
Step-by-step explanation:
For every hour that has gone by, Marco biked 15 miles, therefore, the equation of the line that shows the relationship between the time, x, and the distance, y, is <em>y = 15x</em>.