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tekilochka [14]
3 years ago
10

3(5z-7)+2(9z-11)=4(8z-7)-111

Mathematics
2 answers:
NISA [10]3 years ago
5 0
3(5z - 7) + 2(9z - 11) = 4(8z - 7) - 111
15z - 21 + 18z - 22 = 32z - 28 - 111
33z - 43 = 32z - 139
33z - 32z = -139 + 43
z = - 96
nika2105 [10]3 years ago
3 0
Hey there, Lets solve this together. 

3(5z - 7) + 2(9z - 11) = 4(8z - 7) - 111

15z - 21 + 18z - 22 = 32z - 28 - 111

33z - 43 = 32z - 139

33z - 32z = -139 + 43

z = - 96

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3 years ago
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Oof this is probably really simple to most of y'all but I'm out of it.
Lelechka [254]

Answers:

  • angle1 = 156 degrees
  • angle2 = 24 degrees

=======================================================

Explanation:

The two angles form a straight line, which is 180 degrees

Add up the angle expressions and set the sum equal to 180.

(angle1) + (angle2) = 180

(4x) + (x-15) = 180

(4x+x)-15 = 180

5x-15 = 180

5x = 180+15

5x = 195

x = 195/5

x = 39

We use that x value to find each missing angle

  • angle1 = 4x = 4*39 = 156 degrees
  • angle2 = x-15 = 39-15 = 24 degrees

Then notice how angle1+angle2 = 156+24 = 180 to verify the answer.

Side note: Angles that add to 180 are considered supplementary.

6 0
2 years ago
An angle measures 16° more than the measure of its supplementary angle. What is the measure of each angle?
Olenka [21]
82 degrees and 98 degrees


First, find the original equation

180 = (x) + (x + 16)


Simplify: 180 = 2x + 16


Next, use the subtraction property of equality to subtract 16 from both sides


180 - 16 = 2x + 16 - 16


Simplify: 164 = 2x


Then, you can use the division property of equality to find the value of x

164/2 = 2x/2


Simplify: 82 = x



Now, we know that the first angle equals 82 degrees and that the second angle equals 98 degrees
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Answer:

Step-by-step explanation:

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