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3 years ago

15

Deandre buys candy that costs $6 per pound. He will spend at least $42 on candy. What are the possible numbers of pounds he will

buy? Use p for the number of pounds Deandre will buy.

1 answer:

Zepler [3.9K]3 years ago

6 0

7p should be the correct answer because when you divide 6 and 42 you get 7

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Answer:

Option b.

Step-by-step explanation:

Given : $\Delta SRQ$ is right angled triangle . An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9 and the length of T Q is 16. The length of S R is x.

In the figure, $\angle SRQ=90^{\circ}$ and RT is perpendicular to SQ.

We know that in a right angled triangle if a perpendicular is drawn from the vertex of the right angle to the hypotenuse then triangles on both sides of the perpendicular are similar to each other and to the whole triangle .

Therefore , $\Delta STR\sim \Delta SRQ$

Also, we know that if two triangles are similar then their sides are proportional .

$\frac{ST}{SR}=\frac{SR}{SQ}\\\frac{9}{x}=\frac{x}{25}\\x^2=25\times 9\\x=5\times 3\\=15$

So, option b. is correct

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