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forsale [732]
3 years ago
9

Explain why the two figures below are similar. Use complete sentences and provide evidence to support your explanation. (10 poin

ts)

Mathematics
1 answer:
alekssr [168]3 years ago
7 0

Answer:

<em>The two figures are similar as  the ratio of corresponding distances and slope of corresponding lines are EQUAL.</em>

Step-by-step explanation:

Noting the coordinates of points,

C(-1,6), D(3,4) , E(2,3) , F(3,0), G(1,-2) , A(0,1) , B(-2,2)

J(4.5,3.5), K(6.5,2.5), L(6,2), M(6.5,0.5) , N(5.5,-0.5) , H(5,1) , I(4,1.5)

using the distance formula = \sqrt{(x-x1)^{2} + (y-y1)^{2} }

we find that,

CD=\sqrt{20} and JK=\sqrt{5}

thus, ratio of CD to JK is 2.

Similarly find ratio of DE to KL and so on, the ratio remains same.

Further one can even comment on the slopes of corresponding lines been equal.

Thus the figures turn out to be similiar to each other

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What’s the value of DCB?<br> Pls help
amm1812

Answer:

78

Step-by-step explanation:

angle ACD + angle DCB = 180   (Angles on straight line)

4x + 2 + 3x + 3 = 180

7x + 5 = 180

7x = 180-5

7x = 175

x = 175 / 7

x = 25

angle DCB = 3x +3 = 3*25 + 3 = 75 +3 = 78

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2 years ago
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Step-by-step explanation:

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3 years ago
Mr. Gardner is making 6 treat bags.He has 185 chocolate covered raisins to share evenly among the treat bags.
erica [24]

Answer:

30 will be in each bag

5 chocolate covered raisins will be left

Step-by-step explanation:

185 divided by 6=30

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7 0
2 years ago
The ice cream shop sells sundaes for $2 each and banana splits for $3 each. One day, the shop sold 8 more sundaes than banana sp
Nataliya [291]

Answer:

$82 sundaes

$74 banana split

Step-by-step explanation:

Step one :

Given data

Cost of sundaes =$2 each

Cost of banana split =$3 each

Let the number of sundaes bought be x

And the number of banana split bought be y

The total is x+y

The shop sold 8 more Sundaes than the Banana split

x=8+y—-------1

Total amount made = $156

Therefore the system of equation for the situation is

x=8+y----—----------1

2x+3y=156---------2

But x=8+y

8+y+y=156

8+2y=156

2y=156-8

2y=148

Divide both sides by 2

y=148/2

y=74

On That day they sold $74 banana split

And also they sold x=8+74=$82 sundaes

4 0
2 years ago
What is 0.06% as a decimal and a fraction
mezya [45]
<span>Step 1: 0.06 = 6⁄100</span> 
<span>Step 2: Simplify 6⁄100 = 3⁄50</span><span> 
hope this helps:)

</span>
6 0
3 years ago
Read 2 more answers
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