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Sergio039 [100]
3 years ago
7

Help please asap?!?!?!

Mathematics
1 answer:
Gwar [14]3 years ago
3 0
In similar figures, the angle measures are the same but the side lengths are different.  So in #4, x = 42.  Since all the angles of a quadrilateral added up equal 360, then y is 360-90-90-42=138.  For number 5, make sure you match up the sides correctly in your ratio: \frac{2}{x}= \frac{4}{8}.  You could cross multiply to get 4x=16, and x = 4, or you could just realize that reducing 4/8 will give you 2/4 and x = 4.  Going back to the idea that in similar shapes corresponding angles are the same measure, x in #6 is 63
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Mariko has an 80: 1 scale drawing of the floor plan of her house. On the floor plan
Ivan

Answer:

16,771.56 square feet.

Step-by-step explanation:

In order to get to the result we will need to use the scale and the numbers that are provided of the dimensions of the room.

The dimensions of the room on the floor plan are 17.8 inches by 21.2 inches. We first need to multiply these numbers with the scale:

17.8 x 80 = 1,424

21.2 x 80 = 1,696

Now that we got the real measures we need to multiply these two values in order to get to a result as in how many square inches is the room:

1,424 x 1696 = 2,425,104

Now we need to convert the square inches into square feet to get to the final result:

1 ft² = 144 in²

2,425,104 / 144 = 16,771.56

So we have a result of 16,771.56 square feet.

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3 years ago
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kobusy [5.1K]

a(x+3) < 5x+15-x\\\\ax+3a < 5x+15-x\\\\ax+3a < 4x+15\ \ \ |-3a\\\\ax < 4x+15-3a\ \ \ \ |-4x\\\\ax-4x < 15-3a\\\\(a-4)x < 15-3a\\\\\text{The solution is all real numbers if}\ a-4=0\ \ \ |+4\\\\\boxed{a=4}\\\\\text{Check:}\\\\4(x+3) < 5x+15-x\\4x+12 < 4x+15\ \ \ \ |-4x\\12 < 15\ TRUE\to x\in\mathbb{R}

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