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Oxana [17]
3 years ago
6

Hello :) Please help me solve this Explain answer

Mathematics
1 answer:
svet-max [94.6K]3 years ago
4 0

Answer:

Scale\ Factor = \frac{1}{2}

ABC dilated

Step-by-step explanation:

Given

Triangles ABC and DEF

Required

Determine the scale of dilation

First, we pick a side on ABC

AB = 6

Pick a corresponding side on DEF

DE = 3

The scale factor is then calculated as:

Scale\ Factor = \frac{DE}{AB}

Scale\ Factor = \frac{1}{2}

i.e. ABC was dilated by 1/2

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The ratio of the corresponding linear measures of two similar cans of vegetables is 2 to 3. The smaller can has a surface area o
Shalnov [3]

Answer:

405 {cm}^{2}

Step-by-step explanation:

We have that, the ratio of the corresponding linear measures of two similar cans of vegetables is 2 to 3.

We want to find the area of the larger can, if the smaller can has a surface area of 180 square centimeters.

We know the scale factor is

k =  \frac{3}{2}  = 1.5

To find the surface area of the larger can, we multiply the square of the scale factor by 180.

This implies that, the surface area of the larger can is

1.5^{2}  \times 180 = 405 {cm}^{2}

7 0
4 years ago
Find -6 + 6. Show<br> your work
STatiana [176]

Answer:

Answer is 0

Step-by-step explanation:

Well it's just simple, -6 + 6 is 0.

4 0
3 years ago
Read 2 more answers
PLEASE HELP!! At a celtic music festival, the tickets for the main stage cost $45, and tickets for the second stage cost $20.
Dennis_Churaev [7]
A.) m + s = 325 
     45m + 20s = 12,000

b.) 220 people attended main stage

c.) 105 people attended second stage


How you figure this out:

You can first find the value of (s) by using m + s = 325 and subtracting m from both sides. This leaves you with s = -m + 325 as the value of s. Now substitute that into the equation 45m + 20s = 12,000 and you should have something like this -> 45m + 20 (-m + 325) = 12,000   Now distribute the 20 to both (-m) and (325) which then leaves you with this ->  45m - 20m + 6,500 = 12,000
Next thing you would do is combine like terms which in the case is 45m and -20m. Now combine those term to get -> 25m + 6,500 = 12,000  Now you would subtract 6,500 from both sides and then that would leave you with this  -> 25m = 5,500 Lastly divide 25 into both sides to get your solution for m,  m = 220.  Now that you know the value of (m), substitute it into the equation   M + S = 325 and it would look like this -> 220 + s = 325  now you would subtract 220 from both sides to get your solution for s, s = 105  

I really hope this helps and let me know if you have any questions! :)
3 0
3 years ago
If a line has a slope of 4/7 a line that is perpendicular has a slope of what?​
sukhopar [10]

Answer:

y = -7/4x

Step-by-step explanation:

This is correct because to find the perpendicular, you need to find the opposite reciprocal of the slope. In this case, the slope is 4/7, so the opposite reciprocal is -7/4.

4 0
3 years ago
Read 2 more answers
What belongs in the box marked with the question mark in the proof?
koban [17]
<span>the blank boxes are for you to plug in x=20 to prove its right. so it would be 3(20)-4=2(20+8) 60-4=2(28) 56=56 so its true!</span>
6 0
4 years ago
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