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Tanya [424]
3 years ago
13

I'LL GIVE BRAINLIEST! What property could you use to show that triangles PQR and XYZ are congruent? A) SSS B) HL C) SAS D) ASA

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
5 0

Answer: HL

Step-by-step explanation:

It tells you the triangle is a right triangle and it tells you that the hypotenuse of both triangles are congruent.

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Nathan is a recreational cyclist. He can travel 10 miles in one hour on his bicycle. Which graph represents the number of miles
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Answer:

See attachment for graph

Step-by-step explanation:

Given

1\ hr = 10\ miles

Required

The graph that shows the number of miles in x hours

We have:

1\ hr = 10\ miles

Multiply both sides by x

x * 1hr = 10miles * x

xhr=10x\ miles

So, the function is:

f(x) =10x

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3 years ago
shaquana has a deck that measures 18 feet by 15 feet. She wants to increase each dimension by equal lengths so that its area tri
Svetach [21]

to increase each dimension by equal lengths so that its area triples is 12 feet.

The given dimensions are 18 feet by 15 feet.

We need to find how much should each dimension increase.

Shaquana wants to increase each dimension by equal lengths so that its area triples.

Let the increased length be x.

So, length =18+x feet and width=15+x feet.

As we know, the area of a deck=Length×Width

The original area of a deck=18×15=270 square feet.

Now, the new area of a deck=(18+x )×(15+x)=3×270

⇒270+15x+18x+x²=810 square feet

⇒x²+33x-540=0

Here, a=1, b=33 and c=-540 in x=\frac{-b\±\sqrt{b^{2-4ac} } }{2a}.

⇒x=\frac{-33\±\sqrt{33^{2} -4 \times (-540)} }{2 \times 1}

⇒x=\frac{-33\±\sqrt{1089 +2160} }{2 \times 1}=\frac{-33\±57}{2}

⇒x=-45 or x=12

Length can not be a negative integer.

Therefore, to increase each dimension by equal lengths so that its area triples is 12 feet.

To learn more about the area of a rectangle visit:

brainly.com/question/20693059.

#SPJ1

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2 years ago
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