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otez555 [7]
3 years ago
15

Given ALMN * AQRS, MZM = 26°, and m2Q = 58°, what is the measure of 2S? 96° 26° 58°

Mathematics
1 answer:
Aleks [24]3 years ago
3 0

Answer:

  96°

Step-by-step explanation:

We assume you intend ...

  ΔLMN ~ ΔQRS

Then corresponding angles have the same measure:

  ∠M = ∠R = 26°

  ∠L = ∠Q = 58°

  ∠N = ∠S = 180° -26° -58° = 96° . . . . sum of a triangle's angles is 180°

The measure of angle S is 96°.

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In 1999, the share price for General Motors stock was $144 per share but has been declining at an average rate of 14% per year.
vodomira [7]

Answer:  $5.22  (in the year 2021)

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

Explanation:

The year 2021 is 22 years after 1999 since

2021 - 1999 = 22

That means we'll plug x = 22 into the equation given to us

P = 144*(0.86)^x

P = 144*(0.86)^22

P = 5.21588994768589 which is approximate

P = 5.22 rounding to the nearest cent

The share price is about $5.22 in the year 2021.

This assumes that the 14% decline keeps happening year after year; however, in reality, stocks are more complicated and fluctuate more randomly if anything.

7 0
3 years ago
Quadrilateral ABCD has vertices A(–2, 4), B(1, 3), C(2, –3), and D(–3, –1). Graph quadrilateral ABCD and its image after a rotat
marshall27 [118]

Answer:

(-3 , 1)(-2,4) (4,5) (2,0)

Step-by-step explanation:

Rotation around center (x₀ , y₀), counterclockwise rotation θ degree

x₂ = (x₁-x₀)cosθ - (y₁-y₀)sinθ + x₀  

y₂ = (x₁-x₀)sinθ + (y₁-y₀)cosθ + y₀

A(-2.4) -> counterclockwise rotation 90°

F(x,y): x = (-2+1)cos90° - (4-2)sin90° + (-1) = -3

          y = (-2+1)sin90° + (4-2)cos90° + 2 = 1

F (-3 , 1)

Use the above formula to calculate other 3 points: (-2,4) (4,5) (2,0)

5 0
3 years ago
Simplify the expression: 7 - 7(5 + x) - 9x <br> Your answer
Gekata [30.6K]

Answer:

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Step-by-step explanation:

Break it into little pieces; start with distributing the -7:

-7(5+x)

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Now add the rest of the problem: 7-35-7x-9x

Combine like terms: 7-35               7x-9x

7-35=-28             7x-9x=-16x

Rearrange so the coefficient and variable are upfront, giving you:

-16x-28

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alex41 [277]
These are the two equation

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salantis [7]

Answer:

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