(AAA) Corresponding angles are congruent.
Therefore, the sides of the triangles are proportional:
cross multiply
use distributive property
subtract 100 from both sides
divide both sides by 100

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(SAS)
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
Therefore we have the equation:

The perimeter of △PQR:

Substitute the value of y to the expression:

Answer:
Step-by-step explanation:
a = 3
b = 3
c = 1
Discriminate = sqrt(b^2 - 4ac)
Discriminate = sqrt(9 - 4*3*1)
Discriminate = sqrt(9 - 12)
Discriminate = sqrt(-3)
What negative value means that there are no real roots and the y intercept = 1. You should always graph this kind of question, which I am doing for you. I use Desmos which is a very handy program.
You should notice that the minimum is above the x axis. That means there are no real roots, just as the discriminate tells you.
Answer:
slope is 3
Step-by-step explanation:
10,17
7,8
8-17=-9
7-10=-3
-9/-3=3
Answer:
c. x=3
Step-by-step explanation:
Given:
7x < 21
Divide both sides by 7
7x / 7 < 21 / 7
x < 21/7
x < 3
x = 3
Check:
7x < 21
7(3) < 21
21 = 21