Answer: Last option.
Step-by-step explanation:
Observe the figure attached.
In order to find the value of "b", you need to remember the definition of "Alternate interior angles". These are the pairs of angles located in the interior of the parallel lines and on opposite side of the transversal. They are congruent.
Based on this definition, you can conclude that the angle "b" and the angle that measures 128° are Alternate interior angles; therefore they are congruent.
This means that the value of "b" is:

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Answer:

Step-by-step explanation:
3x+y=-4 (1)
3x-4y=6 (2)
<em><u>solving by elimination:</u></em>
(1) - (2) ⇒
3x + y = -4
3x - 4y = 6
________
0 + 5y = -10
5y = -10 ⇔ y = -2
(2) ⇒ 3x-4y=6 ⇒ 3x-4(-2)=6 ⇒ 3x = 6 - 8 = -2 ⇒ x = -2/3
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:)
Answer:
Step-by-step explanation:
- 162 total guests.
- 3 servers
Let the number of guests the second server helped be x.
then the first server helped 3x
then the third server helped [(3x)*2] = 6x
Equation in total:
6x + 3x + x = 162
10x = 162
x = 16.2
- First server helped: 3 * 16.2 = 49 guests
- Second server helped: 16 guests
- Third server helped: 6x = 6(16.2) = 97 guests
The number of 8th grade students have dropped by 25% this year
C.
Although this is not the exact answer the circumference formula is 2(pi)r. Which is far more than the other two options.