Answer:
98°
Step-by-step explanation:
m∠1 = m∠2
5x + 12 = 7x - 16; substitute the given
2x = 28
x = 14
m∠2 + m∠3 = 180; supplementary angles
82 + m∠3 = 180
m∠3 = 180 - 82
m∠3 = 98 degrees
Answer:
The mean absolute value is 7.7, when rounded to the nearest tenth.
Step-by-step explanation:
1.) To get the mean absolute deviation you have to find the mean first:
- 32 + 35 + 20 + 16 + 28 + 13 = 144 ÷ 6 = 24
2.) Then, you have to find the difference of each element in your data set that is away from the mean. Then, you have to find the absolute values of the answers:
- 32 - 24 = | 8 | → 8
- 35 - 24 = | 11 | → 11
- 20 - 24 = | -4 | → 4
- 16 - 24 = | -8 | → 8
- 28 - 24 = | 4 | → 4
- 13 - 24 = | -11 | → 11
3.) Then, you have to find the mean of the absolute values:
- 8 + 11 + 4 + 8 + 4 + 11 = 46 ÷ 6 = 7.6666666666666666666666666666667 = 7.7
Answer: 
Step-by-step explanation:
Given
Length of board is 
It is divided into 4 equal pieces i.e. length of each piece is
If 
of an inch is removed from one of the pieces then,
Answer:
eighty thousand one hundred and seventy
Answer:
A. 40°
Step-by-step explanation:
∠Z=∠Y (base ∠ of isosΔ)
= 60°
∠X=180-60-60(∠ sum of Δ)
=40°
