Answer:
a. x = 14 (see explanation)
b. the arrows along the lines
Step-by-step explanation:
The relationship of these two expressions is Same Side, which means their sum is 180.
<u><em>plugging</em><em> </em><em>in</em></u>
108 + 4x + 16 = 180 | Given
124 + 4x = 180 | Add the numbers
4x = 56 | Subtract 124 from both sides
x = 14 | Divide both sides by 4
Absolutely not because
if you see as fraction
8/7 and 15/16 is not equal at all
if it had to be equal if should've been 16/14
(x+2)(2x-5)=56
2x^2-5x+4x-10=56
2x^2-x-10=56
2x^2-x-66=0
2x^2-12x+11x-66=0
2x(x-6)+11(x-6)=0
(2x+11)(x-6)=0, since x is a measurement x>0 so:
x=6cm
Answer: 12√2 cm
<u>Step-by-step explanation:</u>
Cube 1: V = 6³ = 216
Cube 2: V = 8³ = 512
Cube 3: <u>V = 10³ = 1000</u>
New Cube: V = 1728
1728 = s³
12 = s
So, each side of the new cube is 12 cm.
Use Pythagorean Theorem to find the length of the diagonal:
12² + 12² = diagonal²
144 + 144 = diagonal²
288 = diagonal²
√288 = diagonal
12√2 = diagonal
2(x-5)=20
Divide both sides by 2 (division of property equality)
x - 5 = 10
Add 5 to both sides (addition of property equality)
x = 15
Answer
x = 15 is the solution
