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Vesna [10]
3 years ago
6

How do I find Y Im still confused on how to solve Y and if you have any tips please lmk asap. Thank you

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0

Answer:

y = 3

Step-by-step explanation:

Since ABCD is similar to EFGH, therefore, the ratio of their corresponding sides are equal. Thus:

AB/EF = CD/GH

AB = 3

EF = 2

CD = 4.5

GH = y

Substitute

3/2 = 4.5/y

Cross multiply

3*y = 4.5*2

3y = 9

Divide both sides by 3

3y/3 = 9/3

y = 3

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5² - 2 = 25 - 2 = 23

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2 years ago
This figure is made up of a rectangle and parallelogram.
ivann1987 [24]

The area of the figure is 40 units. (rounded off from 39.998 units)

Step-by-step explanation:

1. Area of the figure = Area of Rectangle + Area of Parallelogram.

2. Naming points:

Let the rectangle consist of points A(-6,-1), B(-5,-5), C(3,-3) and D(2,1).

Let the parallelogram consist of points C(3,-3), D(2,1), E(2,7) and F(3,3).

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In simple words, in A(-6,1), x' = -6; y' = -1

4. Formula for finding area:

Area of a rectangle = length (l) × width (w)

Area of a parallelogram = base (b) x height (h)

5. Finding area of the rectangle:

l = AD = \sqrt{[x'''' - x']^{2} - [y'''' - y']^{2}}

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Now, w = AB = \sqrt{[x'' - x']^{2} - [y'' - y']^{2}}

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Area of rectangle = l x w = 8.246 x 4.123 = 33.998 units.

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b = DE = 6 units (we can observe this from the graph, i.e. points from 1 to 7 on the y axis)

h = Height is the line drawn perpendicular to the base from point F, which as we can see is 1 unit long.

Hence, Area of parallelogram = b x h = 6 x 1 = 6 units.

7. Now, adding both, we can arrive at the final answer.

Area of the figure = Area of rectangle + Area of parallelogram,

i.e. 33.998 units + 6 units = 39.998 units. (can be rounded off to 40 units)

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