Answer: They are not congruent.
Step-by-step explanation:
You need to find the distance between these points to find congruence. If just one of these doesn't match with its corresponding side, its not congruent.
DE: square root of 68
_
GH: square root of 53
DE and GH are corresponding, but they are not congruent so these polygons are not congruent.
Answer:
n < -10
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have been given an equation 
. We are asked to find the solutions of our given equation.
We will use splitting the middle term method to solve quadratic equation.
We will split middle term of our given equation into parts such that whose product is 
and whose sum is 3.
We know that such two numbers are 
.
Using zero product property, we will get:
Therefore, the solutions for our given equation are .
Answer:
Step-by-step explanation:
Given:
Family of 2
Cost, C1 = $25
Family of 6
Cost, C2 = $65
Given that 2 points are given above as the following in coordinate form:
A(2,25) and B(6,65)
Rate of change is given as = (y2 - y1)/(x2 - x1)
= (65 - 25)/(6-2)
= 40/4
Therefore,
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
(y - 25)/(65 - 25) = (x - 2)/(6 - 2)
(y - 25)/40 = (x - 2)/4
(y - 25) = 40/4 × (x - 2)
(y - 25) = 10 × (x - 2)
Expanding,
y - 25 = 10x - 20
y = 10x - 20 + 25
y = 10x + 5
