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°
Answer:
2x² - 11x + 15
Step-by-step explanation:
Find the area of the rectangle by multiplying the length and width together, using FOIL
(2x - 5)(x - 3)
Multiply the first terms:
(2x)(x) = 2x²
Multiply the first term in the parentheses by the last term in the second set of parentheses:
(2x)(-3) = -6x
Multiply the second term in the first set of parentheses by the first term in the second set:
(-5)(x) = -5x
Multiply the last terms:
(-5)(-3) = 15
Add these all together, then add like terms
2x² - 6x - 5x + 15
2x² - 11x + 15
So, the area of the rectangle is 2x² - 11x + 15
the y intercept is 11.
Hope Your Thanksgiving Goes Well, Here's A Turkey
-TheKoolKid1O1
Answer:
3m = -3
Step-by-step explanation:
You are given
2m - 6 = 8m,
hence,
2m - 8m = 6,
-6m = 6,
m = 6%2F%28-6%29,
m = -1.
Therefore, 3m = -3.
3x + 24 = (3)(x) + (3)(8)
You can see that there is multiplier 3 near x and 8. You can factor it and make
3x + 24 = 3(x + 8)
So, the answer is 3. Hope this helps!
