Remember, all the interior angles of a triangle equals 180.
So in triangle ABC, it already gives us two out of the three angles.
First, we add 52 and 36 and that gives us 88.
Now we subtract 88 from 180.
180 - 88 = 92
So that means that ∠ABC is 92°
Now we have to look at triangle DEF.
The equation says that triangle DEF is similar to triangle ABC.
Looking at the picture, triangle DEF is smaller and is flipped upside down.
So that means that ∠ABC ≈ ∠DEF
In similar triangles, the measurements of angles does NOT change. Just the side length.
So since ∠ABC = 92° that means that ∠DEF = 92°
You can use slope formula to find slope of given points.
m = (y2-y1)/(x2-x1)
m = (-6-11)/(-3-5)
m = -17 / -8
Cancel out minus sign in both nominator and denominator. Thus,
m = 17/8
Hence, the slope is 17/8
Answer:
33.11
Step-by-step explanation:
Use the pythagorean theorem. 30^2 + 14^=z
Answer:
AAA
Step-by-step explanation:
STEP-BY-STEP SOLUTION:
Let's first establish the inequality which we need to solve as displayed below:
y + 1 < 3
To begin with, we need to make ( y ) the subject by keeping it on the left-hand side of the inequality and placing all other numbers on the right-hand side of the equality as displayed below:
y + 1 < 3
y < 3 - 1
Then, we simply simplify / solve as displayed below:
y < 3 - 1
y < 2
ANSWER:
y < 2
