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arsen [322]
3 years ago
14

Pls answer my question​

Mathematics
1 answer:
Dafna11 [192]3 years ago
5 0

Answer:

x = 23

Step-by-step explanation:

Exterior angles equals the sum of opposite interior angles.

2x+  3 + 51 = 100

Combine like terms.

2x + 54 = 100   {Subtract 54 from both sides}

        2x = 100 - 54

       2x = 46    {Divide both sides by 2}

       x = 46/2

x = 23

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Monica [59]

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Step-by-step explanation:

6 0
3 years ago
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If a scale factor of 4.6 is applied to the parallelogram, what will be the perimeter of the new parallelogram?
anyanavicka [17]

Answer:

The new perimeter is 4.6 times the original perimeter of the parallelogram.

Step-by-step explanation:

A parallelogram is a four-sided figure, such that the opposite sides are parallel.

So a parallelogram is defined by two measures, we can define them as the length L and the width W (W can be equal to L, as in the case of the square or the rhombus)

The perimeter of one parallelogram is then:

P = 2*L + 2*W = 2*(L + W)

If a scale factor of 4.6 is applied to the parallelogram, then all the dimensions must be multiplied by 4.6

This means that the new length is L' = 4.6*L and the new width is W' = 4.6*W

Then the new perimeter is:

P' = 2*W' + 2*L' = 2*(L' + W') = 2*(4.6*L + 4.6*W) = 4.6*[2*(L + W)]

And the thing inside brackets is equal to the original perimeter, then:

P' = 4.6*P

The new perimeter is 4.6 times the original perimeter of the parallelogram.

4 0
3 years ago
The department of public safety has an old memo stating that the number of accidents per week at a hazardous intersection varies
marysya [2.9K]

Answer:

C. 0.1515

Step-by-step explanation:

The main objective here is to find the P-value for the test of H_0

Given that ;

the mean value = 2.2

the standard deviation = 1.4

number of recorded accident per week = 52

The null  hypothesis is : H_o: \mu =2

The alternative hypothesis is : H_A = \mu < 2

The Z- value can be calculated as:

z = \dfrac{x- \mu}{\dfrac{\sigma }{\sqrt{n}}}

z = \dfrac{2- 2.2}{\dfrac{1.4 }{\sqrt{52}}}

z = \dfrac{- 0.2}{\dfrac{1.4 }{7.211}}

z = -1.03

From the normal distribution table for probability;

P(z< -1.03 ) = 0.1515

6 0
4 years ago
What form is this equation in? y + 6 = (1/2)(x - 4)
maks197457 [2]
Y +6 =(1/2)(x+4)

y +6 = 1/2 x +2
y=1/2 x - 4

or 1/2 x -y = 4 
7 0
3 years ago
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1,000 pounds &gt; &lt; = 1 ton
scoundrel [369]
1000 pounds is less than 1 ton
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3 years ago
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