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KatRina [158]
2 years ago
6

The polygons are similar. The area of one polygon is given. Find the area of the other polygon.

Mathematics
1 answer:
sladkih [1.3K]2 years ago
6 0

The area of the other polygon is 30 cm^2

explanation

If two triangles are similar , then the ratio of their corresponding sides will be equal to the ratio of their areas. Here the given triangles are similar which means the ratio of their areas will be equal to the ratio of their corresponding sides.

The side length of the first triangle=4cm

Side length of the second triangle=12 cm

Area of the first triangle=10cm^2

Let the area of the second triangle be A/

4/12=10/A\\A=(10*12)/4=120/4=30

The area of the second triangle =30cm^2

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Which situation can be modeled by the inequality 60−15x≥7?
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D

Step-by-step explanation:

To find a situation for 60−15x≥7, look for a story where 60 is a constant value that is decreasing by 15 for a number of times and where equal to or at least 7 is an option.

A. x would be weeks and it would decrease by 7x. This is not it.

B. 15 songs packages would have x be the number of packages not the price. This is not it.

C. This doesn't work either because if you want to owe them less than 7 it would have the sign < not >.

D. You have 60 to spend and you decrease it by $15 for each hat you buy till you save $7. This is it.

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Ostrovityanka [42]
The solution is the point of intersection between the two equations.

Assuming you have a graphing calculator or a program to lets you graph equations (I use desmos) you simply put in the equetions and note down the coordinates of the point of intersection.

In the graph the first equation is in blue and the second in red.

The point of intersection = the solution = (-6 , -1)



If you dont have access to a graphing calculator you could draw the graphs by hand;

1) Draw a table of values for each equation; you do this by setting three or four values for x and calculating its image in y (you can use any values of x)

y = 0.5 x + 2 (Im writing 0.5 instead of 1/2 because I find its easier in this format)

x | y
-1 | 1.5 * y = 0.5 (-1) + 2 = 1.5
0 | 2 * y = 0.5 (0) + 2 = 2
1 | 2.5 * y = 0.5 (1) + 2 = 2.5
2 | 3 * y = 0.5 (2) + 2 = 3

y = x + 5

x | y
-1 | 4 * y = (-1) + 5 = 4
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1 | 6 * y = (1) + 5 = 6
2 | 7 * y = (2) + 5 = 7

2) Plot these point on the graph
I suggest to use diffrent colored points or diffrent kinds of point markers (an x or a dot) to avoid confusion about which point belongs to which graph

3) Using a ruler draw a line connection all the dots of one graph and do the same for the other

4) The point of intersection is the solution

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