Answer:
- The angle ∠2 = 4x = 4(36°) = 144°
Step-by-step explanation:
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.
We are given that <1 and <2 forms a linear pair, and
m∠1 = 4m∠2
It means the 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
x + 4x = 180
5x = 180
divide both sides by 5
5x/5 = 180/5
x = 36°
Therefore,
- The angle ∠2 = 4x = 4(36°) = 144°
Answer:
Horizontal side: 7 ft
Vertical side: 12 ft
Area: 286 ft
Step-by-step explanation:
horizontal: 25 - 18 = 7
vertical: 10 + 2 = 12
area= (25x12) - (2x7) = 286
Answer:
$5.50
Step-by-step explanation:
10 - 4.50 = 5.50
Given:
The limit problem is:

To find:
The value of the given limit problem.
Solution:
We have,

In the function
, the degree of the polynomial is 5, which is an odd number and the leading coefficient is -2, which is a negative number.
So, the function approaches to positive infinity as x approaches to negative infinity.

Therefore,
.
Answer:
No; he did the survey incorrectly.
He surveyed 107 people, not 100.
Step-by-step explanation:
Draw a Venn diagram, when you are presented with information like this;
Presenting it in a Venn diagram would look like what is shown in the pic.
P.S. when drawing a Venn diagram, start with the information regarding individuals who fit in all categories and then work your way to the individuals who fit in just in one category.