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Vadim26 [7]
3 years ago
8

In the diagram, points E, A, and B are collinear and the areas of square ABCD and right triangle EAD are equal. What are the coo

rdinates of A?
A. (-7.5, 3)

B. (-8, 4)

C. (-9, 6)

D. (-8.5, 5)

E. (-6, 5)

Mathematics
2 answers:
forsale [732]3 years ago
8 0

Answer:

(-8,4)

Step-by-step explanation:

Given in the picture is a right triangle and a square sharing one commonside

Area of triangle = area of square

ie 1/2 bs = s^2 (is s is one side of square)

i.e. b = 2s where b = EA

In other words A divides line EB in the ratio 2:1

Using section formula

Coordinates of A=

(\frac{2(-7)+1(-10)}{3} ,\frac{2(2)+1(-8)}{3})\\=(-8, 4)

Zielflug [23.3K]3 years ago
6 0

Answer:

(B) -8,4

Step-by-step explanation:

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PLEASE HELP ME WITH THIS QUESTION <br> 6
nata0808 [166]

Answer:

45

Step-by-step explanation:

Assuming this is a trapezoid,

\frac{29+WZ}{2}=37 \\ \\ 29+WZ=74 \\ \\ WZ=45

5 0
2 years ago
Select all ratios equivalent to 15:5.<br> 9:3<br> 6:2<br> 3:1
natali 33 [55]

Answer:

All three.

Step-by-step explanation:

All three of these ratios are equivalent to 15:5. Here's how:

Let's look at the first ratio, 9:3. Did you notice something common? 3 x 3 = 9. 9/3 = 3. 5 x 3 = 15. 15/3 = 5. Both of these numbers are divisible by 3,  so these ratios are equivalent.

Second. 6:2. 2 x 3 = 6. 6/3 = 2. 5 x 3 = 15. 15/3 = 5. See the similarity? The same applies to the next problem, number three, although it does slightly differentiate.

Third, 3:1. See, here, since the ratio is smaller than the problem, we can't multiply, since this ratio is smaller than the original number. But, it's still the same thing. A ratio is a number that compares a value to another value. This means that 3:1 is 3 compared to one. Now, let me clarify. 15:5. 3:1. These are the exact same values, except they are just written in a different form, and simplified. Since 5 x 3 = 15, we know that we can divide 15 evenly by 5, which makes it 3, and divide 5 evenly by 5, which equals one. So here we have our answer for the third problem. 5:1.

Ratios are basically division, except simplified. Every single ratio problem works this way. Once you get the hang of it, it's immensely easy. Hope this helped!

6 0
3 years ago
7 times what equals 1?
Arturiano [62]
For this case, the first thing we must do is define a variable.
 We have then:
 x: unknown number
 Doing the multiplication we have:
 (7) (x) = 1&#10;
 From here, we clear the value of x.
 We have then:
 x =  \frac{1}{7} &#10;
 Therefore, we have:
 (7) ( \frac{1}{7} ) = 1&#10;
 Answer:
 
7 times 1/7 equals 1
4 0
3 years ago
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Marta_Voda [28]

Step-by-step explanation:

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3 years ago
Need help 8th grade math
Yanka [14]
The answer is the 3rd one
6 0
3 years ago
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