Answer:
90, 90, 90, 135, 135
Step-by-step explanation:
The sum of the measures of all angles is 540 deg.
The measures of the angles are: x - 45, x - 45, x, x, x - 45.
Add the expressions of the measures of the angles and set equal to the sum of the measures, 540 deg. Then solve for x. Then use the value of x to find each angle measure.
x + x + x - 45 + x - 45 + x - 45 = 540
5x - 135 = 540
5x = 675
x = 135
x - 45 = 135 - 45 = 90
Answer: 90, 90, 90, 135, 135
Answer:
f(-8) = 45
Step-by-step explanation:
Step 1: Define
f(x) = -6x - 3
x = -8
Step 2: Substitute and Evaluate
f(-8) = -6(-8) - 3
f(-8) = 48 - 3
f(-8) = 45
Answer:
9.5 inches per month
Step-by-step explanation:
Given the information about the depth of the pond:
Month 1: 93 in
Month 2: 98 in
Month 3: 112 in
From month 1 to month 3, the average rate of change of the depth of the pond, in inches per month can be calculated using formula
Hence, from month 1 to month 3, what is the average rate of change of the depth of the pond, in inches per month is
Step-by-step explanation:
she needs to swap 5.2 for 5.02
since 5.02 is smaller than 5.2
Answer:
B. 10
C. All real numbers.
Step-by-step explanation:
6 (2x-4) = 8(x + 2)
Distribute the numbers outside of the factors:
12x - 24 = 8x + 16
Subtract both sides by '8x'
12x - 8x - 24 = 8x - 8x + 16
4x - 24 = 16
Add '24' to both sides:
4x = 40
Divide both sides by 4:
x = 10. Therefore, <u>B. 10</u> is the correct answer.
3(4p - 2) = -6(1 - 2p)
Distribute the numbers similarly to the example before:
12p - 6 = -6 + 12p
Subtract '12p' from both sides:
12p - 12p -6 = -6 + 12p - 12p
0 -6 = -6
Add '6' to both sides:
0 - 6 + 6 = -6 + 6
0 = 0
Therefore, the solution consists of <u>all real numbers.</u>