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Luden [163]
3 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]3 years ago
6 0
4/16  = SQ/20

SQ = (4*20) / 16  = 5 cm
gladu [14]3 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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Mathematics <br> Simple events likelihood experimental probability
saw5 [17]

Problem 1

Answer: Closer to 1

Explanation:

There are 20 gumballs total. Half of this is 20/2 = 10 gumballs. If there's more than 10 of one color, then the probability of getting that color is closer to 1, than it is to 0. Here we have 12 pink which is greater than 10, so that's why the answer is closer to 1.

================================================

Problem 2

Answer: Closer to 0

Explanation:

The amount of green (3) is less than 10, so that's why the probability is closer to 0 than it is to 1. We can see that 3/20 = 0.15 is less than 0.50

================================================

Problem 3

Answer: Closer to 0

Explanation:

We have a similar situation compared to problem 2. This time we have 5/20 = 0.25 which is less than 0.50

================================================

Problem 4

Answer: 48% chance; fairly likely

Explanation:

We have 12 green out of 25 total, so the probability of choosing green is 12/25 = 0.48 = 48%. While this probability is not over 50%, I still say it's fairly likely considering the other colors lead to smaller probabilities. For instance, purple has a chance of 6/25 = 0.24 = 24% and orange has a probability of 2/25 = 0.04 = 4%, both of which are smaller than 48%

3 0
2 years ago
The area of a rectangle is 256.5m2. if the length is 18m, what is the perimeter of the rectangle
Vlad [161]
256.5/18= 14.25

(14.25x2)+(18x2)= 64.5m
4 0
3 years ago
Read 2 more answers
F(x) = x(x - 1)<br><br> g(x) = 3x<br> find (f*g)(6)
svetlana [45]

Step-by-step explanation:

<u>Given functions:</u>

  • f(x) = x(x - 1)
  • g(x) = 3x

<u>Find (f*g)(6):</u>

  • (f*g)(6) = f(6)*g(6) = 6(6 - 1)*3(6) = 30*18 = 540

<u>In case it is a composite function (f · g)(6) the answer is different:</u>

  • (f · g)(6) = f(g(6)) = f(3*6) = f(18) = 18*(18 - 1) = 306
4 0
2 years ago
Read 2 more answers
Logan bought 35 balloons six-sevenths of the balloons are purple, how many of the balloons are purple?
Crank

ANSWER

30\text{ balloons}

EXPLANATION

To find the number of balloons that are purple, we have to find six-sevenths of 35.

That is:

\begin{gathered} \frac{6}{7}*35 \\ 6*5 \\ 30\text{ balloons} \end{gathered}

That is the number of balloons that are purple.

8 0
1 year ago
How many digits are in the product of 91 and 10^17<br> please explain. Thanks.
LenKa [72]
It should be 19 because originally, it would be 910, but then add 16 more 0's, and 16 + 3 = 19 (and the three is from here -------^)!
Check this out ->:https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=91*10%5E17
and https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#safe=strict&q=91000000000...
They equal.
7 0
3 years ago
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