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melomori [17]
2 years ago
5

Solve similar triangles (advanced)

Mathematics
1 answer:
Reil [10]2 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

Thales' theorem

\frac{9}{3} =\frac{15}{x}

x=\frac{(15)(3)}{9} =\frac{45}{9} =5

hope this helps

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Kite E F G H is inscribed in a rectangle. Points F and H are midpoints of sides of the rectangle, and creates a side length of x
Hoochie [10]

Answer:

5 units

Step-by-step explanation:

Let point O be the point of intersection of the kite diagonals.

|OF| = 2, |OH| = 5

|FH| = |OF| + |OH| = 2 + 5 = 7

FH and EG are the diagonals of the kite. Hence the area of thee kite is:

Area of kite EFGH = (FH * EG) / 2

Substituting:

35 = (7 * |EG|) / 2

|EG| * 7 = 70

|EG| = 10 units

The longer diagonal of a kite bisects the shorter one, therefore |GO| = |EO| = 10 / 2 = 5 units

x = |GO| = |EO| = 5 units

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3 years ago
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What is the unit ratio for a button of 16 grams and 2 milliliters?
Reika [66]

Answer:

The unit ratio would be 8 grams per milliliters

Step-by-step explanation:

Since, the unit ratio is a fraction with denominator 1,

In other words, the amount of one quantity in unit amount of other quantity is called unit rate or unit ratio.

Here, the amount first quantity = 16 grams,

The amount of second quantity = 2 milliliters,

Thus, unit ratio = \frac{\text{First quantity}}{\text{Second quantity }}

=\frac{16}{2} = 8 grams per milliliters

6 0
3 years ago
The length of a rectangle is 6 cm
Tasya [4]

Answer:

12 cm L=6cm W= 2 A=L*W 6*2=12cm

Step-by-step explanation:

7 0
3 years ago
What is 76.58 plus 24.3 equallys to what? Please explain how you added and got your answer
Varvara68 [4.7K]
I just added the two numbers and got the number 100.88
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What was the error in this equation?
PtichkaEL [24]

Answer:

The error is the solution.

The solution is all real numbers, or infinite amount of solutions.

Step-by-step explanation:

Step 1: Write equation

-4(2n - 3) = 12 - 8n

Step 2: Solve for <em>n</em>

  1. <u>Distribute -4:</u> -8n + 12 = 12 - 8n
  2. <u>Subtract 12 on both sides:</u> -8n = -8n
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Here we see that <em>n</em> can equal any number. If you plug in any number <em>n</em>, it will render the equation true. Therefore, our solution is n = infinite amount of solutions.

n = 0 is only slightly correct. 0 does work as the solution, but there are solutions as well.

3 0
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