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2 years ago

Triangle ABC is transformed to create triangle MNL?

Mathematics

1 answer:

Dahasolnce [82]2 years ago

7 0

Answer:

The transformation is rigid because the corresponding side lengths and angles are congruent.

Step-by-step explanation:

Since we have congruent triangles (not similar triangles), they will have to have the same length and angles throughout your transformation. Therefore, our answer is the 1st Option.

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wendy's brother drank 3/10 of the gallon of milk in the fridge. what percent of the milk did he drink.

notka56 [123]

30%

This is because it is 3/10
The 10 is 100%
He drank 3/10 of it
Divide 100 by 3
You get 30
Your answer is 30%

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3 years ago

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The data show the traveler spending in billions of dollars for a recent year for a sample of the states. Round your answers to t

xz_007 [3.2K]

Answer:

The range of given data set is 90.

Step-by-step explanation:

We are given the following data:

20.9, 33.1, 21.8, 58.5, 23.5, 110.9, 30.4, 24.9, 74.1, 60.3, 40.4, 45.4

When this data is arranged in ascending order, we get:

20.9 , 21.8 , 23.5 , 24.9 , 30.4 , 33.1 , 40.4 , 45.4 , 58.5 , 60.3 , 74.1 , 110.9

Range is a measure of dispersion and can be easily calculated.

Formula:

$Range = \text{Maximum values - minimum value}$

$Range = 110.9 - 20.9 = 90$

Thus, the range of given data set is 90.

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2 years ago

3.) a + 40 = 0 What is the value of a?<br> a =

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Answer:

a= -40

Step-by-step explanation:

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3 years ago

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Find the equation of a line perpendicular to -4x+y=10 that passes through the point (-4,9)

Oliga [24]

Answer:

y=-1/4x+8

Step-by-step explanation:

To find the equation of a line that is perpendicular to a line, you would take the opposite reciprocal of the slope.

Before that, we need to change the equation into slope-intercept form.

-4x+y=10

y=4x+10

The opposite reciprocal of the slope is -1/4.

Now, let's use the point-slope formula to find our equation of the line that passes through (-4,9).

y-y1=m(x-x1)

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y-9=-1/4x-1

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2 years ago

What is the approximate area of the shaded portion of the diagram? (Use 3.14 as an estimate for pi.)

Nadusha1986 [10]

Answer:

218

Step-by-step explanation:

first find the area of the circle-

$A=\pi r^{2} \\A=\pi 10^{2} \\A=100\pi \\A=314$

to find the area of the triangle, we need the base and the height. The base we know is 16, since we don't know the height yet, use the Pythagorean theorem to find the height. One leg is 16 the hypotenuse is 20 (2* the radius).

$a^{2} +b^{2} =c^{2} \\a^{2} +16^{2} =20^{2} \\a^{2} +256=400\\a^{2} =144\\a=12$

Now I know the height is 12. Find the area of the triangle

$A=\frac{1}{2} bh\\A=\frac{1}{2} (16)(20)\\A=96$

subtract the area of the triangle from the area of the circle

314-96=218

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2 years ago

Triangle ABC is transformed to create triangle MNL?​

Triangle ABC is transformed to create triangle MNL?