Given:
Point Q is on line segment PR.
QR = 3x, PQ = x + 6, and PR = 5x – 4.
To find:
The numerical length of PQ.
Solution:
Since, point Q is on line segment PR, so by segment addition property, we get





The value of x is 10.
Now,

Putting x=10, we get


Therefore, the numerical length of PQ is 16 units.
Answer:
answer is x = ay + 12/4
Step-by-step explanation:
first we cross multiply on both sides which will give us this
4( x -3)=ay
we then open the brackets by multiplying 4 with x and -3 which gives
4x - 12= ay
then take 12 to the other side
4x - 12+12= ay + 12
4x = ay + 12
divide 4 on both sides
4x /4= ay + 12/ 4
therefore x = ay + 12/ 4
clear steps in picture
hope that can help
<h3>
Answers:</h3><h3>
x = 12</h3><h3>
Angle B = 45 degrees</h3>
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Explanation:
Angles A and B are alternate exterior angles.
Due to the parallel lines, alternate exterior angles are congruent
A = B
5x-15 = 2x+21
5x-2x = 21+15
3x = 36
x = 36/3
x = 12
Use this x value to find the measure of angle B
angle B = 2x+21
angle B = 2*12+21
angle B = 24+21
angle B = 45 degrees
As a check,
angle A = 5x-15
angle A = 5*12+15
angle A = 60-15
angle A = 45 degrees
Since A and B are both 45 degrees, this confirms the correct x value
The shorter one is 13 and the other one is 52.
Answer:
yes sure continue with questions