< P is a right angle.....a right angle is 90 degrees.
< P and < Q form a linear pair....a linear pair, when added, = 180 degrees
so if < P is 90.....and when added to < Q = 180...
90 + Q = 180
Q = 180 - 90
Q = 90 <== so < Q is also a right angle...measures 90 degrees
Answer:
16 cm^2
Step-by-step explanation:
Given
-- Bigger Triangle
-- Smaller Triangle
--- Scale factor
Area of CBD = 9
Required
Determine the area of CAE
The area of triangle CBD is:


The area of CAE is:

Where:
and

The above values is the dimension of the larger triangle (after dilation).
So, we have:



Re-order


Recall that:



Hence, the area is 16 cm^2
Answer:

Step-by-step explanation:
Solve for the value of
:

-Use <u>Distributive Property</u>:


-Combine like terms:


-Take
and subtract it from
:


-Subtract both sides by
:


-Divide both sides by
:


-Reduce the fraction to the lowest term by extracting and canceling out
:


Therefore, the value of
is
.