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Inessa05 [86]
3 years ago
14

The quadrilateral below is a rectangle. Solve for x and m

Mathematics
1 answer:
ad-work [718]3 years ago
4 0

Answer:

x = 13

∠WZX = 57°

Step-by-step explanation:

Because it is a rectangle, ∠XYZ is 90°

∠XZY + ∠YXZ = 90

(5x - 8) + (x + 20) = 90

simplify:

6x + 12 = 90

subtract 12 from each side

6x = 78

divide both sides by 6

x = 13

∠WZX is complimentary to angle (x + 20)

∠WZX = 90 - (13 + 20) = 57°

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mario62 [17]

Answer:

Rational

Step-by-step explanation:

Repeating decimals can be represented as a ratio of two integers.

5 0
3 years ago
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How do I solve this please help!​
mr Goodwill [35]

Answer:

9 x + 8 y = 10   (I)

y = -4x + 7        (II)

One way is to rewrite the second as

4x + y = 7

Now multiply this equation by 8

32 x + 8 y = 56

9 x + 8 y = 10        and now subtract the equations

23 x = 46     this gives x as 2

From equation (II)  y = -4 (2) + 7  = -1

So our values are (2, -1)

Check:

(I) 9 x + 8 y = 10         9 * 2 - 8 = 10

(II)  4 x + y = 7       or 4 * 2 - 1 = 7

Or you can substitute equation (II) directly into equation (I)

3 0
2 years ago
find the area of the shaded regions. Give your answers as a completely simplified exact value in terms of pi. (no approximate)
Zigmanuir [339]

Answer:

Take out the area of the full circle first:

A= pi r^2

A= 3^2 x pi

A= 28.274 cm3

Area of smaller cirlces:

A= pi r^2

A= 1^2 x pi

A= 3.14159

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Substract unshaded from shaded: 28.274-6.28318

Area of shaded is 21.99082 cm3

Step-by-step explanation:

3 0
3 years ago
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tankabanditka [31]

Answer:

Jamie has 44 pairs of shoes

Step-by-step explanation:

Let

Jamie= x pairs of shoes

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Solve:

2x - 33 = 55

Collect like terms

2x = 55 + 33

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Divide both sides by 2

2x / 2 = 88 / 2

x = 44

Jamie = x = 44 pairs of shoes

Therefore, Jamie has 44 pairs of shoes

4 0
2 years ago
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Alex Ar [27]

Answer:

Step-by-step explanation:

9y = -4x + 6

y = -4/9x + 2/3

4 0
3 years ago
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