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Mazyrski [523]
3 years ago
11

Which proportion is true?

Mathematics
1 answer:
Kamila [148]3 years ago
4 0

If the polygons are similar, the corresponding sides are proportional.

corresponding sides:

AE - BD

AB - ED

BC - DC

AC - EC

You have proportions:

\dfrac{AE}{BD}=\dfrac{AC}{BC}=\dfrac{EC}{DC}\\\\\dfrac{AB}{ED}=\dfrac{BC}{DC}=\dfrac{AC}{EC}

and their modifications

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lawyer [7]

Answer is in the attached figure.


5 0
3 years ago
Read 2 more answers
How many solutions are there to the equation below?
Effectus [21]

Answer:

C. 1

Step-by-step explanation:

Given:

\displaystyle \large{\sqrt{\sqrt{\sqrt{x}}} = 16}

The equation can be rewritten as:

\displaystyle \large{\sqrt[8]{x} = 16} via surd property.

Since it’s an even surd, that means there only exists zero-positive numbers for value of x.

To solve this surd equation, simply clear out the surd by powering both sides by 8:

\displaystyle \large{\left(\sqrt[8]{x}\right )^8=(16)^8}

Cancel the surd:

\displaystyle \large{x=16^8}

Now, evaluating 16^8 will give up a million and that’s not necessary because we are finding how many solutions this equation has. Since theee only exists one value of x, which is the solution to this equation. Therefore:

Your answer is 1 solution

4 0
2 years ago
Write the equation in slope - intercept form of the line that
galina1969 [7]

y1 - y2 / x1 - x2

4 - 2 / 2 - 2

2/0

0

y = mx + b

2 = 0(2) + b

2 = b

y = 0x + 2

y = 2

Hope this helps! ;)

5 0
3 years ago
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1, 2, 4, 5, 8, 9}. List the element
Leto [7]

Answer:

C\ n\ C^c = \{ \}

(A\ n\ C)^c = \{2,3,4,6,7,8,10\}

A\ u\ (B\ n\ C) = \{1, 2,3, 4,5, 7, 8,9\}

Step-by-step explanation:

Required

Determine

C\ n\ C^c

(A\ n\ C)^c

A\ u\ (B\ n\ C)

Solving C\ n\ C^c

C^c implies that elements in U but not in C

Since

C = \{1, 2, 4, 5, 8, 9\}

C^c = \{3, 6, 7, 10\}

C\ n\ C^c = \{1, 2, 4, 5, 8, 9\}\ n\ \{3, 6, 7, 10\}

C\ n\ C^c = \{ \}

<em>Because there's no intersection between both</em>

Solving (A\ n\ C)^c

First, we need to determine A n C

A\ n\ C = \{1, 3, 5, 7, 9\}\ n\ \{1, 2, 4, 5, 8, 9\}

A\ n\ C = \{1, 5, 9\}

(A\ n\ C)^c = (\{1, 5, 9\})^c

(A\ n\ C)^c = \{2,3,4,6,7,8,10\}

Solving A\ u\ (B\ n\ C)

First, we need to determine B n C

B\ n\ C = \{2, 4, 6, 8, 10\}\ n\ \{1, 2, 4, 5, 8, 9\}

B\ n\ C = \{2, 4, 8\}

So:

A\ u\ (B\ n\ C) = \{1, 3, 5, 7, 9\}\ u\ \{2,4,8\}

A\ u\ (B\ n\ C) = \{1, 2,3, 4,5, 7, 8,9\}

4 0
3 years ago
Slope = -3 passes through point (15, -50)
hram777 [196]

Answer:

y=-3x-5

Step-by-step explanation:

explanation is showed above

7 0
3 years ago
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