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kykrilka [37]
2 years ago
11

Solve the inequality -2(z + 5) + 20 7 6.

Mathematics
2 answers:
Romashka-Z-Leto [24]2 years ago
8 0

Answer:

z<2

Step-by-step explanation:

-2(z + 5) + 20 > 6

Subtract 20 from each side

-2(z + 5) + 20 -20 > 6-20

-2(z + 5) > -14

Divide each side by -2 remembering  to flip the inequality

-2/ -2(z + 5) < -14/-2

z+5 < 7

Subtract 5 from each side

z+5-5 < 7-5

z<2

topjm [15]2 years ago
4 0
First you need to distribute
then you’d have -2z - 10 + 20 > 6
-2z + 10 > 6
-2z > 6 - 10
-2z > - 4
z < 2
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The value of the given variable x in the missing angles is; x = 12°

<h3>How to find alternate Angles?</h3>

Alternate angles are defined as the angles that occur on opposite sides of the transversal line and as such have the same size. There are two different types of alternate angles namely alternate interior angles as well as alternate exterior angles.

Now, from the question, we can see that ∠4 and ∠6 suit the definition of alternate angles and as such we can say that they are both congruent.

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