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Nonamiya [84]
3 years ago
8

Help with this last question please

Mathematics
1 answer:
Wewaii [24]3 years ago
8 0
Fourth one is the right one
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Given that the measure of X is 57° and the measure of y is 51° find the measure of z 
avanturin [10]

9514 1404 393

Answer:

  132°

Step-by-step explanation:

Name the vertex of each angle the same as the angle letter. Name the intersection of the "horizontal" and "vertical lines" point Q.

Angle ZXQ is vertical to ∠x, so is the same measure.

Angle YQX is the value that makes the sum of angles in triangle XYQ be 180°. That is ...

  ∠YQX = 180° -51° -57° = 72°

This is also the measure of its vertical angle in the other triangle. Angle z is the sum of that vertical angle and 60°, so we have ...

  ∠z = 72° +60°

  ∠z = 132°

_____

<em>Additional comment</em>

The relations we used are ...

  • vertical angles are congruent
  • sum of angles in a triangle is 180°
  • an exterior angle is equal to the sum of the remote interior angles
8 0
3 years ago
The perimeter of the rectangle is 64 cm. Find the value of x.
marin [14]
2(11 + 3x) = 64
11 + 3x =64/2
11 + 3x = 32
3x = 32 - 11
3x = 21
x = 21/3
x = 7

A.
4 0
4 years ago
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Someone Please help me
DIA [1.3K]
1) x1= -8 , x2=16
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3) 7/8 or 0.875
5 0
2 years ago
What is the mode of the data? 4,3,2,1,0,2,3,1,4,3
AURORKA [14]

Answer: 3

Step-by-step explanation:

8 0
4 years ago
Tracey is at the store and buys 3 shirts for $15 each and a 3 pairs of pants for $25 each. She also has a coupon for $12 off her
sineoko [7]

Answer:

45+135+12

Step-by-step explanation:

6 0
3 years ago
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