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2 years ago

Given: AD and EH , transversal BF ∠ACG and _______ are same side interior angles

Mathematics

2 answers:

anygoal [31]2 years ago

8 0

Answer:

Step-by-step explanation:By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.

This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.

Then:

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are same-side interior angles. Because AB and DC are parallel, the same-side interior angles must be supplementary by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

dusya [7]2 years ago

4 0

∠ACG same side interior angles with ∠CGH and ∠CGE

<h3>Further explanation </h3>

When parallel lines get crossed by a transversal some angles will be formed (which has the same magnitude = equal)):

Corresponding Angles: The angles on the same corners

Alternate Interior Angles: Alternate sides of the Transversal, and on the Interior of the two crossed lines.

Alternate Exterior Angles: on the outer side of each of the two lines and on the opposite side of the transversal.

Consecutive Interior Angles: on one side of the transversal but inside the two lines. The Consecutive Interior Angles add up to 180 ° if the two lines are crossed are Parallel

From the attached image it can be seen:

Alternate Interior Angles: angles ∠ACG & ∠CGH and ∠DCG & ∠CGE

Consecutive Interior Angles: angles ∠ACG & ∠CGE and ∠DCG & ∠CGH

Then ∠ACG same side interior angles with ∠CGH (Alternate Interior Angles) and ∠CGE (Consecutive Interior Angles)

<h3>Learn more </h3>

the steps for constructing a copy of an angle

brainly.com/question/4292471

brainly.com/question/13096001

the angle x whose radians measure is given

brainly.com/question/4924817

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Answer:

The change received by the customer is $7.

Step-by-step explanation:

First, write the given expression for the change when paying with $50.

$50 - ( 14 + 12 + 2 ( 5 ) + 2 ( 2 ) + 3 )$

Evaluate the parentheses:

$50-(26+10+4+3)$

Now add the numbers inside the parentheses.

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Subtract the numbers.

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2 years ago

a glass cylinder has a diameter of 7 inches and a height of 1.5 inches. Glass had a density of 2.58 grams per cubic centimeter.

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Answer:

The mass of the cylinder is $149\ g$

Step-by-step explanation:

step 1

Find the volume of the cylinder

The volume is equal to

$V=\pi r^{2} h$

we have

$r=7/2=3.5\ in$ ----> the radius is half the diameter

$h=1.5\ in$

assume

$\pi=3.14$

substitute

$V=(3.14)(3.5)^{2}(1.5)$

$V=57.70\ in^{3}$

step 2

Find the mass

we know that

The density is equal to the mass divided by the volume

$D=m/V$

Solve for the mass

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2 years ago

sophia says that you can solve the problem in the Example by multiplying both quantities in the ratio 60 : 36 by 1 . Is Sophia c

guapka [62]

Answer:

No multiplying both quantities in the ratio 60 : 36 by 1 would not give the answer .

But multiplying both quantities in the ratio 60 : 36 by 1/6 would solve it.

Step-by-step explanation:

Multiplying any number or ratio by 1 gives the same answer no matter what the expression or how much bigger the number is.This will not give the solution .

If it is multiplied with a fraction like 1/6 that would give the correct answer.

Multiplying it with 1/6 reduces the ratio and gives a better estimate.

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60*1/6: 36*1/6

10: 6

Meaning that for a total of 16 there are 10 of category A and 6 of category B.

But if we do the same procedure with the answer is same which does not solve the question.

A:B

60:36

60*1: 36*1

60: 36

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2 years ago

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juin [17]

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