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:
f=1/x^2-81
Step-by-step explanation:
Step 1: Multiply both sides by x^2-81.
fx3−81fx=x
Step 2: Factor out variable f.
f(x3−81x)=x
Step 3: Divide both sides by x^3-81x.
f(x3−81x)
x3−81x
=x
x3−81x
f=
1
x2−81
<h3>
Answer: 35</h3>
A prime number is one where the only factors are one and itself. A composite number has other factors.
You'll have to look at the list of numbers from 1 to 50
In that list, 47 is the largest prime less than 50, and 12 is the smallest composite number greater than 10.
So 47-12 = 35
Answer:
Option (1)
Step-by-step explanation:
By the property of alternate segment theorem,
"Angle formed between the tangent and the chord in a circle measures the half of the measure of the intercepted arc"
m(∠EFG) = 
× m(minor arc FG)
minor arc FG = 2m(∠EFG)
= 2(76°)
= 152°
Therefore, Option (1) will be the correct option.
