Answer:
B
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Step-by-step explanation:
Answer:
N: 30 B:150
Step-by-step explanation:
Supplementary angles add up to 180 meaning their equations must also add up to 180:
(3x + 18) + (2x + 142) = 180
Solve for x:
5x + 160 = 180
5x = 20
x = 4
Substitute 4 in all values of x to obtain the measure of the two angles:
N: 3(4) + 18 = 30
B: 2(4) + 142 = 150
There are 18 different ways they can finish
Answer:
x=10.25
Step-by-step explanation:
If the two angles are congruent, then the measures are equivalent. Therefore, we can set the measures equal to each other and solve for x.
5x+24=9x-17
We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
First, subtrct 5x from both sides.
5x-5x+24=9x-5x-17
24=9x-5x-17
24=4x-17
Next, add 17 to both sides.
24+17=4x-17+17
24+17=4x
41=4x
Lastly, divide both sides by 4, since 4 and x are being multiplied (4*x=4x).
41/4=4x/4
41/4=x
10.25=x
If the angles are congruent, then the value of x is 10.25.
Answer:
5.0 times 10 Superscript 6
Step-by-step explanation:
What is the value of StartFraction 1.6 times 10 Superscript 14 Baseline Over 3.2 times 10 Superscript 7 Baseline?
This is represented mathematically as:
1.6 × 10¹⁴/ 3.2 × 10⁷
Solving for this
1.6 × 10¹⁴/ 3.2 × 10⁷
= [1.6/3.2] × 10¹⁴-⁷
= 5 × 10⁶
= 5.0 times 10 Superscript 6