Answer:
In both cases, we have similar figures.
This means that the shape of the figures is the same, but the size is different:
PQST is similar to STNR and to NRPQ
VUYZ is similar to YZWX and to VUWX
this means that, for example, in problem 18, the ratio between ST and NR must be the same as the ratio between PQ and ST. This happens because the measure increases by the same scale factor.
With this in mind, we can solve the problem:
18)
ST = 7.5
NR = 5.5
Then the quotient ST/NR is:
ST/NR = 7.5/5.5
And, as we said above:
PQ/ST = ST/NR
PQ/7.5 = 7.5/5.5
PQ = (7.5/5.5)*7.5 = 10.23
19) Here we should have:
YZ/VU = WX/YZ
Then:
22.9/35 = WX/22.9
(22.9/35)*22.9 = WX = 14.98
The area of the rectangle is 64.8 square .inch
<h3>What is a Rectangle ?</h3>
A rectangle is a polygon with four sides , opposite sides are parallel and equal.
It is given that
A rectangle is divided into exactly 20 congruent squares
If they are lined up the Length is 36 inches
Therefore the length of each square or the side of the square = 36/20
= 1.8 inch
The area of the rectangle will be
20* Side of square * Side of square
=20*1.8*1.8
= 64.8 square inch
The area of the rectangle is 64.8 square .inch
To know more about Rectangle
brainly.com/question/15019502
#SPJ1
Answer:
50
Step-by-step explanation:
If YW bisects <XYZ then is twice as big as one of the bisected angles. So <XYZ = 50
