Two angles are called supplementary angles if the sum of two angles is 180 degrees and they form a linear pair.
Here we are given than angle P and angle Q are supplementary angles.
Sum of angle P and angle Q will be 180.
Angle P measures 5x and angle Q measures 3x – 12
Adding the two angles,
x=24
Angle P = 5x
Angle P =5*24 =120
Answer: Angle P is 120 degrees.
Answer:
The length is 48
The width is 20
Step-by-step explanation:
When 2 rectangles (figures) are similar, the ratio of corresponding sides are equal.
This rectangle is 5 by 12, so the shorter side (corresponding to 5) to the longer side (corresponding to 12) would be the same ratio, 5:12.
Let shorter side be s, and
longer side be l
It says, long side is 8 greater than twice short, we can write this as:
In similar rectangles, we have said the corresponding sides' ratio are equal, so we could write:
Now, we replace the new found expression for "l" onto this and cross multiply and solve for s first:
So the shorter side is 20. and hence the longer side would be:
l = 2s + 8
l = 2(20) + 8
l = 40 + 8
l = 48
The longer side is 48.
The length is 48
The width is 20