Answer/Step-by-step explanation:
Given:
AC = 6x - 12
BC = 4
CD = 3x - 2
Required:
Determine length of AB and CD.
SOLUTION:
AC - BC = AB
(6x - 12) - 4 = AB (Substitution)
6x - 12 - 4 = AB
6x - 16 = AB
Since AB ≅ CD, therefore,
AB = CD
6x - 16 = 3x - 2 (Substitution)
Combine like terms
6x - 3x = 16 - 2
3x = 14
Divide both sides by 3
x = 4.7
Find AB
6x - 16 = AB
Plug in the value of x
6(4.7) - 16 = AB
28.2 - 16 = AB
12.2 = AB
Find CD
CD = 3x - 2
Plug in the value of x
CD = 3(4.7) - 2
CD = 14.1 - 2
CD = 12.1
Hello from MrBillDoesMath!
Answer:
1/64
Discussion:
(2^3) ^ (-2) => 2^3 = 2 * 2 *2 = 8
= 8^(-2) => negative exp gives reciprocal of time to same
power
= ( /8)^2 => 8*8 = 64
= 1/64
NOTE; the answer shown selected in the diagram is incorrect as the correct result is a positive, NOT negative, number. The second choice is the correct one.
Thank you,
MrB
Area of a square = s² [swhere s <span>is the length of one side</span>]
Area = 0.3² = 0.09 m²
Answer:
x = 48
Step-by-step explanation:
first you would add them together and set it equal to 180( because a straight line is 180 degrees): 3x - 12 + x = 180
Then you add like terms( the x's): 4x - 12 = 180
now add 12 to both sides: 4x = 192
now divide by 4 on both sides x = 48
hope this helps! : )