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OleMash [197]
2 years ago
11

If triangle PQR is similar to SQT, find the value of

Mathematics
2 answers:
ankoles [38]2 years ago
5 0

Answer:

x = 31.4

PQ = 58.8

Step-by-step explanation:

Set up a proportion:

SQ/QP = ST/PR

Substitute in the values they give you:

\frac{x-9}{x-9+x+5}  = \frac{8}{21}

\frac{x - 9}{2x - 4} = \frac{8}{21}

21x - 189 = 16x - 32\\5x = 157\\x = 31.4

This means that PQ = 2x - 4 = 2(31.4) - 4 = 62.8-4 = 58.8

exis [7]2 years ago
4 0

Answer:

x = 15, PQ = 26

Step-by-step explanation:

x+13/9 = 21/x-9

x^2+4x−117=168

x^2+4x−285=0

(x−15)(x+19)=0

x=15

it cannot be a negative number so x cannot be -19

PQ= x+13

15+13=26

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A caterer is preparing meals for a party of 78 guests. If about 1/4 of the guests want steaks, about how many steaks should the
Ann [662]
Answer:
You want to divide 78 by 4, so the answer will be 17.
And to check, 17x4=78, so it is correct.
4 0
3 years ago
When completing an online shopping transaction, a typical shopper takes 9 seconds to select each product and another 8 seconds t
katrin [286]

Answer:

In 26 seconds to complete a transaction, 2 products are being purchased.

Step-by-step explanation:

Here, time taken to select 1 item  = 9 seconds

Time taken in all to check out = 8 seconds

Here, time taken to shop = 26 seconds

Now as check out process takes 8 seconds , so the

Time left to ACTUALLY SHOP =  Total Time  - Time Used to check out

                                                   = 26 seconds = 8 seconds = 18 seconds

Shopping of 1 item = 8 seconds

Shopping of 2 items  = 2 x ( Time taken in 1 item) = 2 x  9 = 18 seconds

So, in 18 seconds, 2 clothing item can be selected.

Hence,in 26 seconds to complete a transaction, 2 products are being purchased.

3 0
3 years ago
Find the slope of the line that passes through (10, 8) and (9, 13)
7nadin3 [17]
Slope is 5!

Equation:
13-8/9-10=5/1

y2-y1=x2-x1
3 0
3 years ago
A hat that originally cost 12.50 with a 60% markup find the total cost
cluponka [151]

Answer:

$20.00 dollars will be the new cost.

Step-by-step explanation:

Multiply $12.50 and 60% to get $7.50.

$7.50 plus $12.50 is $20.00.

5 0
2 years ago
Thirty students are eating lunch at 5 tables. Each table has the same number of students. How many students are sitting at each
kaheart [24]
30 ÷ 5
6 students at each table

Hope this helps!
5 0
3 years ago
Read 2 more answers
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