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Luden [163]
2 years ago
13

In the figure, PQ is parallel to RS. The legth of RP is 4 cm; the length of PT is 16 cm; the length of QT is 20 cm. What is the

length of SQ?

Mathematics
2 answers:
Studentka2010 [4]2 years ago
6 0
4/16  = SQ/20

SQ = (4*20) / 16  = 5 cm
gladu [14]2 years ago
3 0

Answer:

<h2>A. 5 cm.</h2>

Step-by-step explanation:

Givens

PQ \parallel RS

RP=4cm

PT=16cm

QT=20cm

Now, you can observe that the problem is about propotions, because we have two transversals crossing a pair of parallels. Here we can build the following proportion.

\frac{SQ}{RP} =\frac{QT}{PT}

Replacing all given values, we have

\frac{SQ}{4} =\frac{20}{16}\\SQ=\frac{20}{16} \times 4\\ SQ=5

Therefore, the length of SQ is 5 centimeters. The right answer is A.

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Orlov [11]

Answer:

<em>$ 33.6 to fill this tank, provided a community cost of $2.8 per gallon</em>

Step-by-step explanation:

1. Let us first find the volume of the gas the tank, by the general multiplication of Base * height ⇒ 11 inches * 1.25 feet * 1.75 feet. For the simplicity, we should convert feet ⇒ inches, as such: 1.25 feet = 1.25 * 12 inches = 15 inches, 1.75 feet = 1.75 * 12 inches = 21 inches. Now we have a common unit, let us find the volume ⇒ 11 in. * 15 in. * 21 in. = 3465 inches^3.

2. Let us say that the the average price of gas in my community is $2.8 per gallon. We would first have to convert inches ⇒ gallons provided 1 gallon = 231 inches: 3465/231 = 15 gallons.

4. Now simply multiply this price of 2.8 dollars per gallon by the number of gallons to receive the cost if the tank was full: 2.8 * 15 = <em>$ 42 if this tank was full provided a community cost of $ 2.8 per gallon</em>

5. Now this tank is 20% full, so we must calculate the cost to fill the other 80% up. That would be 80/100 * 42 = 4/5 * 42 = 168/5 = <em>$ 33.6 to fill this tank, provided a community cost of $2.8 per gallon</em>

7 0
3 years ago
Explain one the relationship between capacity and fluid ounces
Shalnov [3]
Fluid ounces are one of the many possible measurement units that may be used to measure the physical characteristics of capacity.
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3 years ago
Find a recursive formula for the sequence:<br><br> 3, -5, 11, -21
vekshin1

The correct option is the last:

a_n = -2a_{n-1}+1

In fact, every term in the sequence is one more than twice the opposite of the previous one:

We start with 3. Twice its opposite is -6. Plus one, we get -5.

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Sladkaya [172]

Answer:

is it all of them

Step-by-step explanation:

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2 years ago
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Trava [24]

Answer:

steps below

Step-by-step explanation:

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= 900 + 900 + 900 + 900

= 3600

8 0
2 years ago
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