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zvonat [6]
3 years ago
7

Overnight, the temperature in Chicago was just

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
7 0
Answer: 2*F
Steps: If you add 9 to -7 you get 2. Another way to solve this is by writing 9-7 (the minus seven is just the negative) and you are left with 2
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Line segment ST is dilated to create line segment S'T' using the dilation rule DQ,2. 25. Point Q is the center of dilation. Line
abruzzese [7]

The distance between points S' and S is x= 2.5 units.

<h2>Given that</h2>

Line segment ST is dilated to create line segment S'T' using the dilation rule DQ 2. 25.

Point Q is the center of dilation.

Line segment ST is dilated to create line segment S prime T prime.

The length of QT is 1. 2 and the length of QS is 2.

The length of SS prime is x and the length of TT prime is 1. 5.

<h3>We have to determine</h3>

What is x, the distance between points S' and S?

<h3>According to the question</h3>

Line segment ST is dilated to create line segment S'T' using the dilation rule DQ, 2.25.

Also, SQ = 2 units, TQ = 1.2 units, TT'=1.5, SS' = x.

Since the line ST is dilated to S'T' with the center of dilation Q, the triangles STQ and S'T'Q must be similar.

We know that the corresponding sides of two similar triangles are proportional.

So, from ΔSTQ and ΔS'T'Q.

\dfrac{SQ}{S'Q} = \dfrac{TQ}{T'Q}\\&#10;\\&#10;\dfrac{SQ}{SQ+SS} = \dfrac{TQ}{TQ+TT'}\\&#10;\\ &#10;\dfrac{2}{2+x} = \dfrac{1.2}{1.2+1.5}\\\rm &#10;\\&#10;\dfrac{2}{2+x} = \dfrac{1.2}{2.7}\\\\ \dfrac{2}{2+x} = \dfrac{12}{27}\\\\2(27) = (2+x) 12\\\\ 54 = 24 + 12x\\&#10;\\&#10;12x = 54-24\\&#10;\\&#10;12x=30\\&#10;\\&#10;x = \dfrac{30}{12}\\&#10;\\&#10;x = 2.5

Hence, the distance between points S' and S is x= 2.5 units.

To know more about Pythagoras Theorem click the link given below.

brainly.com/question/16016926

5 0
2 years ago
Tri-County Utilities, Inc., supplies natural gas to customers in a three-county area. The company purchases natural gas from two
Sav [38]

Answer:

The network model is attached.

Step-by-step explanation:

Total Demand from each Gas Company are:

Southern Gas, 500 units;

Northwest Gas, 400 units.

Total Supplies to each County are:

Hamilton County, 400 units;

Butler County, 200 units;

Clermont County, 300 units.

The distribution costs per unit (in thousands of dollars) are as follows

-----------Hamilton-- Butler-- Clermont

Southern Gas--- 10 ---20--- 15

Northwest Gas ----12 ----15---- 18

The network representation of these information is given in the attachment.

3 0
3 years ago
by selling a cell phone for 2400rs a shopkeeper makes a profit of 25% what would be his profit percentage if it was 2040rs​
xxMikexx [17]

Answer:

6.25%

Step-by-step explanation:

We first begin by solving for the original price of the cell phone.

if 2400 = 125%

         x = 100%

By cross multplying, we get

125x = 2400 * 100

x = 240000/125

x = 1920rs

To find the profit percentage on the new sale price, we repeat another set of equations

100% = 1920

      x = 2040

1920x = 2040 * 100

x = 204000/1920

x = 106.25%

His new profit percentage is 6.25%

7 0
3 years ago
Given the following data set, what is the value of the median?
Gelneren [198K]
The answer is 4.5, since 1 & 8 are in the middle you add those two numbers and divide by two so 1+8=9 and 9/2=4.5
8 0
3 years ago
A leaky faucet waste 3600 gallons of water per year.how many quarts does it waste per month
lianna [129]

There are 12 months in a year, so you need to divide 3600 by 12. 3600 / 12 = 300. The faucet wastes 300 gallons of water per month.

3 0
3 years ago
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