Answer:
We conclude that
- The angle ∠2 = 4x = 4(36°) = 144°
Step-by-step explanation:
Given
<1 and <2 form a linear pair
m∠1 = 4m∠2
To determine
Find the measure of each of the two angles.
<u>Important Points about linear pair:</u>
- We know that when two lines meet or intersect, we get a linear pair of angles.
- Linear pairs are basically two adjacent angles that form a line.
- The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.
As
<1 and <2 form a linear pair
m∠1 = 4m∠2
In other words, angle 1 is 4 times the measure of angle ∠2.
Let the angle ∠1 be = x
As the angle 1 is 4 times the measure of angle ∠2, so
The angle 2 will be = 4x
As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so
divide both sides by 5
Thus, we conclude that
- The angle ∠2 = 4x = 4(36°) = 144°
Answer: p = 0.73
Step-by-step explanation:
Given that,
73% of the audience was under 20 years old :
so, probability (p) = 0.73
n = 146
Mean of the distribution of sample proportion = ?
According to central limit theorem,
np(1-p) ≥ 10
146 × 0.73(0.27) ≥ 10
28.77 ≥ 10
∴ Central limit theorem assumes that the sample distribution of the sample proportion is normally distributed.
Hence, the mean of the distribution of sample proportion:
μ = p = 0.73
96 = -6 * (-4 - 3y) <== It's easiest to solve when the y is on the right
↓
-6 * (-4 - 3y) = 96 <== Multiply the -6 by everything inside the
parentheses
<span>↓</span>
24 + 18y = 96 <== Subtract the 24 from both sides
↓
18y = 72 <== Divide both sides by 18
↓
y = 4
The correct answer is choice B. y = 4.
Hope that helped =)
Answer:
12 plus 8
Step-by-step explanation:
is 20 ..............
Answer:
The answers are 20% and 40%
Step-by-step explanation:
Cost price is $240,000
The percentage of $48000 will be
(48000/240000) × 100
= 20%
The percentage of $96000 will be
(96000/240000) ×100
= 40%
