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:
<h2>
∠PQT = 72°</h2>
Step-by-step explanation:
According to the diagram shown, ∠OPQ = ∠OQP = 18°. If PQT is a tangent to the circle, it can be inferred that line OQ is perpendicular to line QT. Ths shows that ∠OQT = 90°.
Also from the diagram, ∠OQP + ∠PQT = ∠OQT;
∠PQT = ∠OQT - ∠OQP
Given ∠OQP = 18° and ∠OQT = 90°
∠PQT = 90°-18°
∠PQT = 72°
3x^3 x 4x^2 = 12x^5
3x^3 x 1 = 3x^3
2x^2 x 4x^2 = 8x^4
2x^2 x 1 = 2x^2
1x x 4x^2 = 4x^3
1x x 1 = 1x
12x^5 + 3x^3 + 8x^4 + 2x^2 + 4x^3 + 1x
Simplify
12x^5 + 7x^3 + 8x^4 + 2x^2 + 1x
Thus, answer is B
Hope this helps!
Answer: Shannon is 18 and Jenny is 15. Because 18+15=33
Step-by-step explanation:
Answer:
to lowest terms of 32:28 is 8/7 or 8:7
Step-by-step explanation:
