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lidiya [134]
2 years ago
14

​Triangle A′B′C′​ is a dilation of ​triangle ABC​ .

Mathematics
1 answer:
Bumek [7]2 years ago
6 0

Answer:

1/2

Step-by-step explanation:

The scale factor is 1/2 because each side length of \triangle{A'B'C'} is 1/2 of the length of the side lengths of \triangle{ABC}.

Hope this helps :)

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9.<br> Find the slope of the line.<br><br><br><br> A. -1/4<br><br> B. 4<br><br> C. 1/4<br><br> D. -4
slamgirl [31]

Answer:

9. A. -1/4

Step-by-step explanation:

Plug the points into the equation y2-y1/x2-x1. In this case, I chose the points (0,-2) and (4,-3). This would make the equation -3--2/4-0. This would be equal to -3+2/4 or -1/4. Therefore, the slope is -1/4.

If this has helped you please mark as brainliest

3 0
2 years ago
Read 2 more answers
After every eighth visit to a restaurant you receive a free beverage. After every tenth visit you receive a free appetizer. If y
Kaylis [27]

Answer:

40th and 80th visit

the first visit where you receive both is the 40th

Step-by-step explanation:

personally, I believe that the simplest way to solve this is use an excel spreadsheet to see which visits would include both a free beverage and a free appetizer:

  • both rewards would happen only twice, at the 40th and 80th visit.

you can also calculate it mathematically since multiples of 8 and 10 do not repeat themselves very much, only when 8 is multiplied by 5 and 10.

4 0
3 years ago
Read 2 more answers
The residents of a downtown neighborhood designed a​ triangular-shaped park as part of a city beautification program. The park i
ycow [4]
You have x , x+7, and 7x-7. When you add those up and equal it to 180 you can get your x. X equals 20
So one angle is 20 degrees
The second angle is 27 degrees
And the third angle is 133 degrees.
8 0
3 years ago
four families go to the cinema. the reid family take 2 adults and 2 children for £18 ; the mghee family take 1 senior, 2 adults
RoseWind [281]

Answer:

\pounds 26.50

Step-by-step explanation:

Let

x = cost for one adult

y = cost for one child

z = cost for one senior.

<u>The Reid family:</u>

take 2 adults and 2 children and paid 2x+2y that is \pounds 18, so

2x+2y=18

<u>The Mghee family:</u>

take 1 senior, 2 adults and 1 child and paid x+2x+y that is \pounds 18.50, so

x+2x+y=18.50

<u>The Griffiths family:</u>

take 1 senior and 3 adults and paid z+3x that is \pounds 19.50, so

z+3x=19.50

You get the system of three equations:

\left\{\begin{array}{l}2x+2y=18\\ \\z+2x+y=18.50\\ \\z+3x=19.50\end{array}\right.

From the first equation:

2y=18-2x\\ \\y=9-x

From the third equation:

z=19.50-3x

Substitute them into the second equation:

19.50-3x+2x+9-x=18.50\\ \\-3x+2x-x=18.50-19.50-9\\ \\-2x=-10\\ \\2x=10\\ \\x=5

Then

y=9-5=4\\ \\z=19.50-3\cdot 5=19.50-15=4.50

Hence,

the cost for one adult is \pounds 5

the cost for one child is \pounds 4

the cost for one senior is \pounds 4.50

<u>The Linton family</u> takes 1 senior, 2 adults and 3 children and paid

\pounds 4.50+2\cdot \pounds 5+3\cdot \pounds 4=\pounds 26.50

3 0
3 years ago
A theater has 40 seats in the first row, 43 seats in the second row, 46 seats in the third row, and so on. How many seats are th
iris [78.8K]
94 seats

There are 2 ways to do this one: 

1. 18 x 3 = 54
54 + 40 = 94

2. 40 + 3 + 3 + 3.... and so on. 



Let me know if this was helpful! 
4 0
3 years ago
Read 2 more answers
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