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3 years ago

PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

Vaselesa [24]3 years ago

8 0

387 customers or 930 customers

Molodets [167]3 years ago

7 0

(27+12)x10x3 and 1,170

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One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times sm

sergey [27]

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel

<h3><u>Solution:</u></h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

$\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}$

And now, 15 degrees is 11 times smaller than the other

Then other angle = 11 times of 15 degrees

$\text {Other angle }=11 \times 15=165 \text { degrees }$

Now, sum of angles = 15 + 165 = 180 degrees.

As we expected their sum is 180 degrees. So the lines are parallel.

Hence, the given lines are parallel

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3 years ago

What is the minimum cuts<br> needed to cut a circle into 8<br> equal parts?

Gnom [1K]

What is the minimum cuts needed to cut a circle into 8 equal parts ?

A : 4 cuts

7 0

3 years ago

Read 2 more answers

A storage space in a basement is in the shape of a rectangular prisim. The hieght of the storage space is 5 feet. The length is

Greeley [361]

Answer:

length is 28.86ft

width= 4.12ft

Step-by-step explanation:

<h2>This problem bothers on the mensuration of solid shapes, a rectangular prism.</h2>

The storage space takes the shape of a rectangular prism, and we are required to find the width and length of the storage space.

let the width of the basement be "w"

Given data

volume v= $595ft^{3}$

length l = $7w ft$

width w= $w$

height h= $5 ft$

We know that the expression for the volume of a rectangular prism is

$volume= length * width* height$

substituting our data we have to find "w"

$595= 7w*w*5\\595=7w^{2}*5\\ 595= 35w^{2} \\$

dividing both sides by 35 we have

$w^{2}= \frac{595}{35\\} \\w^{2}= 17\\$

find the square root of both sides we have

$w=\sqrt{17} \\w= 4.12$

since we know that length= 7w and width = w , we can substitute our value for w and find the length and width

$length= 7*4.12= 28.86ft\\width = 4.12ft$

6 0

3 years ago

Mia found the area of a polygon The area is 32 square cm.

solniwko [45]

Answer:

Only the isosceles trapezoid has an area of 32 cm².

Step-by-step explanation:

Let's calculate the area of each polygon.

For the two triangles we have:

$A_{t} = \frac{bh}{2} = \frac{2 cm*4 cm}{2} = 4 cm^{2}$

This polygon does not have an area of 32 cm².

For the rectangle we have:

$A_{r} = bh = 6 cm*4 cm = 24 cm^{2}$

This polygon does not have an area of 32 cm².

For the rectangle trapezoid we have:

$A_{rt} = A_{t} + A_{r} = (4 + 24) cm^{2} = 28 cm^{2}$

So, this polygon does not have an area of 32 cm².

Finally, for the isosceles trapezoid:

$A_{it} = A_{t}*2 + A_{r} = (4*2 + 24) cm^{2} = 32 cm^{2}$

This polygon does have an area of 32 cm².

Therefore, only the isosceles trapezoid has an area of 32 cm².

I hope it helps you!

8 0

3 years ago

Solve for in the diagram below.

ch4aika [34]

X is 35. 180=75+3x. 180-75/3=35

8 0

3 years ago