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IrinaK [193]
3 years ago
8

The measure of two supplementary angles are x+10 and 2x-5. Find the values of x and then find the angles

Mathematics
1 answer:
astra-53 [7]3 years ago
6 0

Answer:

  68 1/3, 111 2/3

Step-by-step explanation:

The sum of two supplementary angles is 180°, so ...

  (x +10) +(2x -5) = 180

  3x +5 = 180 . . . . . collect terms

  x +5/3 = 60 . . . . . divide by 3

  x = 58 1/3 . . . . . . . subtract 5/3

The first angle is ...

  x +10 = 58 1/3 +10 = 68 1/3

The second angle is ...

  2x -5 = 2(58 1/3) -5 = 116 2/3 -5 = 111 2/3

The angles measure 68 1/3 and 111 2/3.

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3 years ago
Newborn babies have lengths that are all very similar to one another. Which of the following would be the best measure of the ce
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3 0
3 years ago
What is the first term for an arithmetic sequence with a12 = 56 and a21=101?
Alenkinab [10]
The first term is -43.

Explanation:

an = a + (n - 1)d

a12 = a + 11d = 56, first equation
a21 = a + 20d = 101, second equation

Subtract the second equation from the first equation, cancelling +a and -a
11d - 20d = 56 - 101
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Subtitute d into the first equation
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a refers to the first term, hence the first term is -43.
4 0
3 years ago
Part A
lesya692 [45]
Each candy bar cost $5

work:
x = cost of candy bar

3+8(x)=43
-3. -3 < subtract 3 both sides
——————
8(x)= 40
—— —— 8 8

x=5
4 0
3 years ago
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