2 years ago

The triangles are similar. If DE = 24, EF = 42, and AB = 8, find BC.

1 answer:

7 0

$\Delta ABC\sim\Delta DE F\\\\\frac{|EF|}{|DE|}=\frac{|BC|}{|AB|}\\\\substitute:\\\\\frac{|BC|}{8}=\frac{42}{24}\\\\\frac{|BC|}{8}=\frac{7}{4}\ \ \ \ /\cdot8\\\\|BC|=7\cdot2\\\\|BC|=14\\\\\\Answer:D.$

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Answer:

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Step-by-step explanation:

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4 0

2 years ago

Read 2 more answers

A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m

Scorpion4ik [409]

Answer:

(5.4k+7.9m+8.1n) centimeters

Step-by-step explanation:

Given the side length of a triangle;

S1 = (1.3k+3.5m) cm

S2 = (4.1k-1.6n) cm

S3 = (9.7n+4.4m) cm

Perimeter of the triangle = S1+S2 + S3

Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)

Collect the like terms;

Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n

Perimeter of the triangle = 5.4k+7.9m+8.1n

Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters

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2 years ago

Jack is 27 years older than Susan. In 5 years he will be 4 times as old as she is. Find the present ages of jack and Susan

riadik2000 [5.3K]

X - Jack's age
y - Susan's age

Jack is 27 years older than Susan.
$x=y+27$

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2 years ago