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2 years ago

Given ABCD ~ EFGH, what is FG? A.3.6 B.4.5 C.8 D.10

Mathematics

1 answer:

Luden [163]2 years ago

4 0

Answer:

B. 4.5

Step-by-step explanation:

Since the are similar quadrilaterals, their side lengths are in proportion to each other.

Look at the letter ordering, ABCD and EFGH, the represent corresponding points in the quadrilateral, so

BC and FG are the same corresponding side of the quadrilateral. For the first quadrilateral, A is the first letter, B is the second. In the second quadrilateral, E is the first letter, and F is the second. A corresponds to E, and B corresponds to F. The rest of the letters correspond the same way

as are CD and GH

So we have a proportion, "CD is to GH as BC is to FG"

We have values for all sides in our proportion except FG, so plug them in...

CD =4, GH = 6, BC = 3 and FG is unknown,

4/6 = 3/FG

Solve for FG by cross-multiplying (here FG is one variable)

4FG = 18

FG = 18/4

FG = 4.5

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A man's inheritance money = $1200

Given :

He shared his inheritance between his 3 sons in the ratio 1:3:6

Then, the money the first son got :

$= \tt \frac{1}{10} \: of \: 1200$

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$=\tt \frac{1 \times 120}{10}$

$= \tt \frac{1200}{10}$

$\color{plum} =\tt\$ \: 120$

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Money the second son got :

$= \tt \frac{3}{10} \: of \: 1200$

$= \tt \frac{3}{10} \times 1200$

$=\tt \frac{3 \times 1200}{10}$

$= \tt \frac{3600}{10}$

$\color{plum} =\tt \$360$

▪︎Thus, the second son inherited $360.

Money the third son got :

$=\tt \frac{6}{10} \: of \: 1200$

$=\tt \frac{6}{10} \times 1200$

$= \tt \frac{6 \times 1200}{10}$

$= \tt \frac{7200}{10}$

$\color{plum} = \tt\$720$

▪︎Thus, the third son inherited $720.

We know that :

The largest share = $720

The smallest share = $120

Difference between the largest and smallest share :

$= \tt720 - 120$

$\color{hotpink}\tt = 600$

<h3> ●=> Therefore :</h3>

▪︎<em>The difference between the largest and smallest share = 600</em>

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2 years ago

A jar contained 8 balls: 6 red, 1 green and 1 blue. We randomly take a ball out of the jar. Once a ball is selected we do not pu

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Answer:

Step-by-step explanation:

Given that :

Number of balls = 8

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Draw 2 = B = 2C1 = 2

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