Answer:
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
Answer:
7. D:61
8. A:57
9. A: 47
Step-by-step explanation:
Quesiton 7:
To find perimeter we add all the sides together.
x+2x+2x+5=145
Combine all the x's.
5x+5=145
To isolate the constants, subtract 5 from both sides.
5x=140
Now divide both sides by 5 to isolate the x.
x=28
The questions asks for the length of AC, so to find that we need to insert our new x.
AC= 2(28)+5
56+5=61
Data:
x: number of months
y: tree's height
Tipical grow: 0.22
Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)
In this case the slope (m) or rate of change is the tipical grow.
m=0.22
To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):
Use the slope(m) and y-intercept (b) to write the equation:
A) This line's slope-intercept equation is: y=0.22x+17.2
B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:
Then, after 29 months the tree would be 23.58 feet in height
C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:
Then, after 58 months the tree would be 29.96feet tall