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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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The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions
ruslelena [56]

Answer:

Expression B: 0.8p

Expression D: p - 0.2p

Step-by-step explanation:

The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.

Expression A: 0.2p

Expression B: 0.8p

Expression C:1 - 0.2p

Expression D: p - 0.2p

Expression E: p - 0.8p

Which two expressions each represent the sale price of the item?

Regular price of the item = $p

Sale price = 20% off regular price

Sale price = $p - 20% of p

= p - 20/100 * p

= p - 0.2 * p

= p - 0.2p

= p(1 - 0.2)

= p(0.8)

= 0.8p

The sale price is represented by the following expressions

Expression B: 0.8p

Expression D: p - 0.2p

3 0
3 years ago
The class scores of a history test have a normal distribution with a mean Mu = 79 and a standard deviation Sigma = 7. If Opal’s
storchak [24]

The value of z score for the history class test of Opal’s test score is negative one (-1).

<h3>What is normally distributed data?</h3>

Normally distributed data is the distribution of probability which is symmetric about the mean.

The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

The z score for the normal distributed data can be given as,

Z=\dfrac{X-\mu}{\sigma}

The mean value of the scores of history class is,

\mu=79

The standard deviation value of the scores of history class is,

\sigma=7

Here, the test score of the Opal’s is 72. Thus the z score for her test score can be given as,

z=\dfrac{72-79}{7}\\z=-1

Hence, the value of z score for the history class test of Opal’s test score is negative one (-1).

Learn more about the normally distributed data here;

brainly.com/question/6587992

6 0
2 years ago
I don’t understand how to do this question so can anyone help me?
nataly862011 [7]

Step-by-step explanation:

from the line above

P1 = -2

P2 = -1

P3 = 1/3

P4 = 2/3

P5 = 1 1/2 = 3/2

The product of P1 to P5,P

=> P = -2×-1×1/3×2/3×3/2 = 2/3

8 0
2 years ago
6 square root -16 + 4 square root -49
stiv31 [10]

Answer:

I think it's like 20.8....but I'm not sure

6 0
2 years ago
What is the recursive formula for this geometric sequence?
iogann1982 [59]
B is the answer because first number is 2 and common ratio is - 5
8 0
3 years ago
Read 2 more answers
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