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:
1) Solutions are x = 3 and x = 5/3
2) Solution are x ≤ 13/2 and x ≤ -3/2
Step-by-step explanation:
1) Given absolute inequality,
|3x-7| = 2
⇒ 3x - 7 = ± 2
⇒ 3x = 7 ± 2
2) l 2x-5 l ≤ 8
⇒ 2x-5 ≤ ±8
⇒ 2x ≤ 5 ± 8
Answer:
87
Step-by-step explanation:
all the angles of a triangle out of 180 so subtract the two numbers you have from 180
Answer:
the slope is 3/4
Step-by-step explanation:
The formula for slope is
m = (y2 - y1)/(x2 - x1)
The two points are given as (-1, 1) or (x1, y1), and (3, 4) or (x2, y2)
Plug those value into the formula and simplify
m = (4 - 1)/(3 - (-1))
m = 3/(3 + 1)
m = 3/4
Answer:
s=19
Step-by-step explanation:
18s-17s+1=20
s+1=20
s=20-1
s=19
