The two triangles are similar.
The angles of a triangle sum to 180°. Using the known angles in the first triangle, we find the missing angle measure:
180-(65+70) = 180-135 = 45
We do the same for the second triangle:
180-(65+45) = 180 - 110 = 70
Any two triangles that have all 3 angles congruent is similar by AAA.
Answer:
d. 15 square yard
Step-by-step explanation:
First you need to get x on one side so subtract 3x from both sides which will leave you with 8=2x-20. Next add 20 to both sides to get 28=2x. Then divide everything by 2 and you should get x = 14.
Answer:
x=-3, y=9. (-3, 9).
Step-by-step explanation:
-9x-5y=-18
4x+5y=33
---------------
-5x=15
x=15/-5
x=-3
4(-3)+5y=33
-12+5y=33
5y=33-(-12)
5y=33+12
5y=45
y=45/5
y=9
Answer:
Step-by-step explanation:
Given
Translation = 3 units down
Vertical stretch of 2 to give g(x)
Required
3 units down translation
A function is translated down as follows:
Where k is the number of units.
So:
Vertical stretch of 2
A function is vertically stretched as follows;
Where a is the units stretched.
In this case:
So:
