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melamori03 [73]
3 years ago
12

If PQR ~ UTV, find the value of x.

Mathematics
1 answer:
user100 [1]3 years ago
5 0

The value of x is 15.

Solution:

Given ΔPQR \sim ΔUTV.

<em>If two triangles are similar, then the corresponding parts are congruent.</em>

$\Rightarrow \frac{PR}{UV} =\frac{RQ}{VT}

$\Rightarrow \frac{14}{x + 6} =\frac{8}{x -3}

Do cross multiplication, we get

⇒ 14(x - 3) = 8(x + 6)

⇒ 14x - 42 = 8x + 48

Add 42 on both sides.

⇒ 14x = 8x + 90

Subtract 8x on both sides.

⇒ 6x = 90

Divide by 6 on both sides.

⇒ x = 15

The value of x is 15.

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Answer:

C. Bulldogs

Step-by-step explanation:

In this question, we want to compare several numbers with different denominators and find out which number is the least. To compare this number, we have to change the denominator into the same number by finding the least common multiple (LCM) of the 4 numbers. The factor of each number will be:

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5= 5^1

8= 2 * 2 * 2 = 2^3

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We can find the LCM by multiplying a higher exponent of each prime number. The LCM will be:3^1 * 5^1 * 2^3 = 120

Each number will be:

Tiger= 2/3 * 40/40= 80/120

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Titans = 1/2 * 60/60 = 60/120

As you can see, the team with the lowest chance to play is Bulldogs = 45/120

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3 years ago
I need help right now. report cards are coming in soon and i need to get my grades up​
saul85 [17]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
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Answer:

(2, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

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Here (x₁, y₁ ) = (A(5, 8) and (x₂, y₂ ) = B(- 1, - 4) , thus

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2 years ago
Which rule explains why these triangles aren't congruent? see picture below.
Lisa [10]

Answer:

SSS

Step-by-step explanation:

Well, the picture says asks why the triangles are congruent but your question asks why they aren't congruent, so I will just assume that you made a typo, and you really meant: "Which rule explains why these triangles are congruent?"

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7 0
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