Answer:
The answer in the procedure
Step-by-step explanation:
Part A)
we know that
The measures of interior angle in a triangle must be equal to 180 degrees
In the triangle AUL


-----> by supplementary angles


The sum of the two nonadjacent interior angles is equal to

therefore
m<4 is equal to the two nonadjacent interior angles
Part B)
----> see the Part A)
Answer:
21
Step-by-step explanation:
Volume of a cuboid is given by
V = l*w*h
924 = 4 (x+1) (x+11)
FOIL
924 = 4(x^2 +11x+x+11)
924 = 4(x^2+12x+11)
Divide each side by 4
231 = (x^2+12x+11)
Subtract 231 from each side
0 = x^2 +12x +11-231
0 = x^2 +12x - 220
Factor
0 = (x+22) (x-10)
Using the zero product property
x+22 =0 x-10 =0
x=-22 x=10
We cannot have a negative length
x=10
The side lengths are 4, 10+1, 10+11
4,11,21
The longest is 21
<h3>
Answer:</h3>

<h3>
Step-by-step explanation:</h3>
<u>Given equations:</u>

A) 2x² - 162 = 0
Step 1: Divide both sides by 2.
<h3>

</h3>
Step 2: Take the square root of both sides (using both the positive and negative roots).

Step 3: Separate into two cases.

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B) -1/2(x - 3)² = -2
Step 1: Multiply both sides by -2.

Step 2: Take the square root of both sides (using both the positive and negative roots).

Step 3: Separate into two cases and solve each one.
Answer:
D.
Step-by-step explanation: