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3 years ago

Which set or sets does -20 belong which means whole number integer or rational number

Mathematics

2 answers:

spin [16.1K]3 years ago

8 0

A whole number because even though it is a negative number it's not a fraction or decimal which makes it a whole number

VladimirAG [237]3 years ago

3 0

Answer:

A whole number

Step-by-step explanation:

because a whole number is a number with no fractions or decimals . it is basically just an integer

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The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, = 6 centime

Bingel [31]

Answer:

Part A) see the explanation

Part B) see the explanation

Part C) The perimeter of trapezoid ABCD is 32 centimeters and the perimeter of trapezoid EFGH is 48 centimeters

Step-by-step explanation:

The complete question is

The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

Part A) Write a similarity statement for each of the four pair of corresponding sides

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

The corresponding sides are

AB and EF

BC and FG

CD and GH

AD and EH

$\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}$

Part B) Write a congruence statement for each of the four pair of corresponding angles.

we know that

If two figures are similar, then its corresponding angles are congruent

The corresponding angles are

∠A and ∠E

∠B and ∠F

∠C and ∠G

∠D and ∠H

∠A ≅ ∠E

∠B ≅ ∠F

∠C ≅ ∠G

∠D ≅ ∠H

Part C) Determine the perimeter for each of the isosceles trapezoids

we have

The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

step 1

Find the measure of CD

Remember that

The ratio between corresponding sides is proportional and this ratio is the scale factor

Let

z ----> the scale factor

$z=\frac{2}{3}$

$\frac{2}{3}=\frac{CD}{GH}}$

we have

$GH=6\ cm$

substitute

$\frac{2}{3}=\frac{CD}{6}}\\\\CD=4\ cm$

step 2

Find the measure of AB

Remember that

AB is three times the length of DC

$AB=3DC$

$DC=CD=4\ cm$

substitute

$AB=3(4)=12\ cm$

step 3

Find the measure of BC

Remember that in an isosceles trapezoid, the legs are equal

BC=AD

we have

$AD=8\ cm$

therefore

$BC=8\ cm$

step 4

Find the perimeter of trapezoid ABCD

$P=AB+BC+CD+AD$

substitute the values

$P=12+8+4+8=32\ cm$

step 5

Find the perimeter of trapezoid EFGH

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ---> the scale factor

x ----> the perimeter of trapezoid ABCD

y ----> the perimeter of trapezoid EFGH

$z=\frac{x}{y}$

we have

$z=\frac{2}{3}$

$x=32\ cm$

substitute

$\frac{2}{3}=\frac{32}{y}$

$y=32(3)/2=48\ cm$

therefore

The perimeter of trapezoid EFGH is 48 centimeters

3 0

2 years ago

More math questions there are 2

7nadin3 [17]

Problem One

Remark

You don't pay a sales tax until cash is exchanged for goods or services.

So what is 70% off

Solution

Sale price = given price * (100% - 70%)

Sale Price = 72 * 30%

Sale Price = 72 * 30/100

Sale Price = 72 * 0.3

Sale Price = 21.6 dollars.

The sales tax is 5% of this amount

21.6 * 5/100 = 1.08

The total cost is = 21.6 + 1.08 = 22.68

Problem Two

If they marked up 100%, effectively they doubled the price.

New Price = old price + 100% of old price.

New Price = 48.50 + 48.50 = 97 dollars.

The sales tax is 6% * 97 = 6/100 * 97 = 5.82

Total Cost = Cost of item + Tax

Total Cost =97 + 5.82

Total Cost = 102.82 Answer <<<<

4 0

3 years ago

What number must be added to both sides of this equation in order to "complete the square"?

Arte-miy333 [17]

Answer:

D 9 is the correct answer

4 0

3 years ago

I need help I don’t know this question

murzikaleks [220]

So singlehandedly, November has 25% of the total rain in one year of New York's, which is 62.51 inches.

So, November receives: *percentage* x *total*
= 25% x 62.51 = 15.6275 in

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So, in November, New Yorks receives 25% of total rain in one year, which is 15.6275 inches.
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I'd like my Brainliest pls ;W;

4 0

3 years ago

biologists have found that the number of chirps some crickets make per minute is related to temperaturehow warm is it when the c

Sliva [168]

Answer:

Step-by-step explanation:

4 0

2 years ago