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3 years ago

Find the measures of the interior angles of the triangle.

Mathematics

1 answer:

Maurinko [17]3 years ago

5 0

Answer:

A=45

B=110

Step-by-step explanation:

Interior angles of a triangle add up to 180.

So, do 180-25=155.

Then, 155-65=90.

90 divided by 2 is 45.

x=45 so B is 45+65, which is 110.

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3 years ago

Eli practices for a piano recital 3 3 /4 hours in one week. In the same week, he practices basketball 1 2/ 3 hours. How much lon

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3 years ago

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Which expressions are equivalent to x+x+x+2 Choose 2 answers: Choose 2 answers: (Choice A) A 3x + 23x+23, (Choice B) B 3 + 2x3+2

OlgaM077 [116]

Answer:

A and D

Step-by-step explanation:

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3 years ago

A rectangular lawn, 100 feet long by 50 feet wide, is to have two sidewalks installed that will cut the lawn in half both ways,

Damm [24]

Answer:

3.41 feet

Step-by-step explanation:

Area = Length × Breath

Area of the rectangular lawn = 100 × 50

= 5000 feet²

The sidewalk must occupy an area no more than 10% of the total lawn area.

So, the area of the sidewalk would be not more than = 10% × 5000

= 0.10 × 5000

= 500 feet²

Let the width of the sidewalk = x feet

area of the side walk = (L×W of the long way) + ((L-x)×W of the short way)

(100 × x) + ((50 - x) × x) < 500

100x + (50-x)(x) < 500

-x² + 150x < 500

-x² + 150x = 500

-x² + 150x - 500 = 0

By using quadratic formula

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

$x=\frac{(-150)\pm\sqrt{(150)^2-4(-1)(-500)} }{2(-1)}$

$x=\frac{-150\pm \sqrt{20500} }{-2}$

$x=75-5\sqrt{205}$ or $x=75+5\sqrt{205}$

x = 3.41089 ≈ 3.41 feet or x = 146.58

Therefore, width of the sidewalk would be 3.41 feet.

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3 years ago

I need help with this

netineya [11]

Answer:

1. -9

2. -2

3. -3

4. 2 (positive)

Step-by-step explanation:

positive + negative= positive

negative + positive =negative

positive +positive =positive

negative +negative =negative

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