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2 years ago

ABCDE ~ FGHIJ. Figure 2 is a dilation of figure 1, and the scale factor is 0.6. Given that FG = 12 cm, find AB.

2 answers:

6 0

We known that the figures are similar if and only if the corresponding sides and and angles have the common scale factor. In this item, the scale factor is 0.6. The length of AB is determined by multiplying the length of FG with the scale factor. That is,
AB = FG x scale factor
AB = (12 cm) x 0.6
AB = 7.2 cm
Thus, the length of side AB is 7.2 cm.

Bad White [126]2 years ago

4 0

The answer is 20 centimeters to find the side length of AB.

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Karen deposited $25 in the bank on Monday, $50 on Wednesday and $15 on Friday. On Saturday, she took out $40. Karen's original b

natulia [17]

In order to solve this problem, use sign conventions. Since deposit indicates cash inflow, that would take the positive sign. On the other hand, withdrawals take negative sign. We add these integers to the original balance. he solution is as follows:

$100 + $25 + $50 + $15 + (⁻$40) =<em> $150</em>

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3 years ago

The measure of the supplement of an angle is three times the measure of the

gtnhenbr [62]

<h2>Answer:</h2>

<h3><em>x=45degrees</em></h3>

<h2>Step-by-step explanation:</h2>

Let the angle to be solved be x

Let the supplement/compliment by y

x+y=90 Complimentary angles add up to 90 degrees.

x+3y=180 Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.

Evaluating this as a system:

x+y=90 Isolate x:

x=90−y Input into the other equation:

(90−y)+3y=180 Combine like terms, isolate y and its coefficients:

2y=90 Isolate y

y=45 Input into the first equation:

x+45=90 Isolate x:

x=45degrees

5 0

3 years ago

Caroline, Colin & Sarah share some money.

Alex787 [66]

Caroline, Colin & Sarah share some money.Caroline will get $\dfrac{2}{3}$ when Caroline, Colin & Sarah share some money.

<h3>What is the ratio?</h3>

The ratio defined as the sharing of the two or three things or it represent that one thing or number is how many times to the other.

One part is excluded in the problem. That part is:

"Caroline gets $\dfrac{1}{9}$ of the money."

If Caroline gets 1/9th, then remaining is:

$1-\dfrac{1}{9}=\dfrac{8}{9}$

Colin and Sarah share in ratio 3 is to 1, that means 3 + 1 = 4 parts...

8/9th in 4 parts means, each part is:

$\dfrac{\dfrac{8}{9}}{4}=\dfrac{2}{9}$

We know Colin gets "3" parts of the total, each part is (2/9)th, so 3 parts would be:

$3\times \dfrac{2}{9}=\dfrac{6}{9}=\dfrac{2}{3}$

Colin gets $\dfrac{2}{3}$ money when three of them share money.

To know more about Ratio follow

brainly.com/question/2328454

#SPJ1

8 0

2 years ago

What is the lowest common multiple (LCM) of 3 and 4

Kazeer [188]

Answer:

Step-by-step explanation:

The Least Common Multiple (LCM) of some numbers is the smallest number that the numbers are factors of. Like the LCM of 3 and 4 is 12, because 12 is the smallest number that 3 and 4 are both factors for.

8 0

3 years ago

Read 2 more answers

Find the value of x,

Gekata [30.6K]

Answer: x = -7

Concept:

From the given graph, we can see that it is an isosceles triangle since the two base angles are congruent.

In geometry, an isosceles triangle is a triangle that has two sides of equal length.

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

<u>Given information</u>

First Side = 7

Second Side = x + 14

<u>Given expression deducted from the definition of an isosceles triangle</u>

Second Side = First Side

<u>Substitute values into the expression</u>

x + 14 = 7

<u>Subtract 14 on both sides</u>

x + 14 - 14 = 7 - 14

$\boxed{x=-7}$

Hope this helps!! :)

Please let me know if you have any questions

5 0

2 years ago