Answer:
13.6
Step-by-step explanation:
The measure of the segment AQ is related to the measure of the segment A'Q by the dilation factor as follows:
dilation factor = A'Q/AQ
AQ = A'Q/dilation factor
Replacing with data:
AQ = 2.4/0.15 = 16
Then, the distance between points A and A' is
x = 16 - 2.4 = 13.6
Answer:
3
Step-by-step explanation:
22-4 =18
2x3=6
18÷6=3
Remember to use the PEMDAS order of operation
Parenthesis, Exponent, Multiply, Divide, Add, Subtract :)
I'm guessing that you know about 45-45-90 and 30-60-90 triangles.
In 45-45-90 triangles, the legs are in a ratio such that the hypotenuse is
times the legs.
In 30-60-90 triangles, the legs are in a ratio of 1:
:2
In the picture given we have been given a value of the side of the 45-45-90 triangle. We can deduce that the value of the hypotenuse is 9
because of the ratio of the sides of a 45-45-90 triangle.
The 30-60-90 triangle shares the same hypotenuse, and so we now know a value of one of its sides as well. The ratio of the side of value 'x' and the hypotenuse is
: 2
We can create an equation to solve for x using these ratios:
= 
Cross multiply:
2x = 9
x = 
Option C
1/5 of 400 = 80
400 x 1/5 = 400/5
400/5 = 80