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galben [10]
2 years ago
8

In AWXY, m_W = (10x +17), m_X = (2x – 9)", and m_Y = (3x + 7)º. Find mZY

Mathematics
1 answer:
ella [17]2 years ago
8 0

Answer:

m\angle Y=40^\circ

Step-by-step explanation:

Suppose we have a triangle WXY whose internal angles are:

m\angle W = 10x+17

m\angle X=2x-9

m\angle Y=3x+7

The sum of the measures of the angles must be 180°, thus:

10x+17 + 2x-9+3x+7=180

Simplifying:

15x + 15 = 180

Subtracting 15:

15x = 165

Dividing by 15:

x = 11

Thus, the measure of angle Y is

m\angle Y=3x+7=3*11+7=33+7=40

\mathbf{m\angle Y=40^\circ}

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Answer:

b

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6 0
2 years ago
The figure shown is an equilateral triangle. Calculate the length of each side and give your answer in cm.
cricket20 [7]
Given at you have an equilateral triangle, all sides have the same length.

Therefore,
First side 2x-7 = Second side x+y-9 = Third side y+5

Let us look at the second and third sides for now:
x+y-9 = y+5
x = y+5 - (y-9)
x = y-y+5+9
x = 14

Then we look at equating the first and third sides:
2x-7 = y+5
y = 2x-7-5

Substitute x =14 in the equation above:
y = 2(14)-7-5
= 28-7-5
= 21-5
= 16

The length of the third side is:
y+5 = 16 +5 = 21

Given that the length of each sides are the same in an equilateral triangle, all sides have the length 21cm.
4 0
3 years ago
A cylinder has a diameter of 10 units. Its radius is ____ units. Of its height is _______ twice its radius, its height is units.
SpyIntel [72]

Answer:

Height is 10 units

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Step-by-step explanation:

We are given;

Diameter of a cylinder as 10 units

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Height is twice its radius,

Thus, Height = 10 units

We can get the volume;

Volume of a cylinder = pir²H

Taking pi to be 3.14

Then;

Volume = 3.14 × 5²× 10

              = 785 cubic units

Thus, the volume of the cylinder is about 785 cubic units

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