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3 years ago

Can you answer this please

Mathematics

1 answer:

Rus_ich [418]3 years ago

8 0

Answer:

DE = 15 cm, AB = 6 cm

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal.

(a)

$\frac{DE}{BC}$ = $\frac{CE}{AC}$ , substitute values

$\frac{DE}{5}$ = $\frac{24}{8}$ = 3 ( multiply both sides by 5 to clear the fraction )

DE = 15 cm

(b)

$\frac{AB}{CD}$ = $\frac{AC}{CE}$ , substitute values

$\frac{AB}{18}$ = $\frac{8}{24}$ ( cross- multiply )

24AB = 144 ( divide both sides by 24 )

AB = 6 cm

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Which graph represents the solutions to the inequality |2x − 6| < 4? (5 points) number line with a closed circle on 1, shadin

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The graph that represents the inequality is:

Number line with an open circle on 1, shading to the right and an open circle on 5, shading to the left.

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

The inequality is:

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Which means that the distance of 2x - 6 to the origin is less than 4, hence:

-4 < 2x - 6 < 4.

The solution is:

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Number line with an open circle on 1, shading to the right and an open circle on 5, shading to the left.

More can be learned about inequalities at brainly.com/question/25235995

#SPJ1

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