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Alinara [238K]
3 years ago
8

Find the value of x, y, and z

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0

Answer:

  (x, y, z) = (7, 9, 90)

Step-by-step explanation:

The two acute angles between l1 and l2 are vertical, so congruent.

  (9x -7) = 8x

  x = 7 . . . . . . . . . add 7-8x

These are supplementary to the obtuse angle between those lines:

  8(7) + (13y +7) = 180

  13y = 117 . . . . subtract 63

  y = 9 . . . . . . . divide by 13

The angle marked z is supplementary to the angle marked as a right angle.

  z + 90 = 180

  z = 90

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8 0
3 years ago
Nine scores have an average of 8. Scores x and x+1 are added, and these increase the average to 9. Find x
Degger [83]

Answer:

x must be 13

Step-by-step explanation:

Represent the nine scores by a, b, c, d, e, f, g, h, i.

Write the following equation to indicate that the average of these nine scores is 8:

a+b+c+d+e+f+g+h+i

----------------------------- = 8, or <em>a+b+c+d+e+f+g+h+i = 72</em> if we multiply both

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Next, we add scores x and x+ 1 to

a+b+c+d+e+f+g+h+i  +  x + x + 1

and divide the result by 11, as there are now 11 scores instead of just 9:

a+b+c+d+e+f+g+h+i  +  x + x + 1

----------------------------------------------

                        11

Earlier, we saw that a+b+c+d+e+f+g+h+i = 72.  We can now replace

a+b+c+d+e+f+g+h+i in the above fraction by 72:

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         11

Multiplying both sides of this equation by 11 results in:

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3 0
3 years ago
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question no. D and E

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