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Pavel [41]
3 years ago
5

Please help!! Each pair of polygons is similar. Find the value of x.

Mathematics
2 answers:
Simora [160]3 years ago
7 0

Answer in fraction form: x = 55/4

Answer in decimal form: x = 13.75

Both forms are equivalent, but they say it in a slightly different way.

===========================================================

Work Shown:

AC/QY = CD/YW

(x+5)/15 = 5/4

4(x+5) = 15*5

4x+20 = 75

4x = 75-20

4x = 55

x = 55/4

x = 13.75

------------

Explanations:

  • The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
  • In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
  • On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.
Allushta [10]3 years ago
7 0
I don’t think you can get a hold of
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Solve the following equation. 6x−15=4x+55 6 x − 15 = 4 x + 55
algol [13]

Answer:

x = 35

Step-by-step explanation:

Solve for x:

6 x - 15 = 4 x + 55

Hint: | Move terms with x to the left hand side.

Subtract 4 x from both sides:

(6 x - 4 x) - 15 = (4 x - 4 x) + 55

Hint: | Combine like terms in 6 x - 4 x.

6 x - 4 x = 2 x:

2 x - 15 = (4 x - 4 x) + 55

Hint: | Look for the difference of two identical terms.

4 x - 4 x = 0:

2 x - 15 = 55

Hint: | Isolate terms with x to the left hand side.

Add 15 to both sides:

2 x + (15 - 15) = 15 + 55

Hint: | Look for the difference of two identical terms.

15 - 15 = 0:

2 x = 55 + 15

Hint: | Evaluate 55 + 15.

55 + 15 = 70:

2 x = 70

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 x = 70 by 2:

(2 x)/2 = 70/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

x = 70/2

Hint: | Reduce 70/2 to lowest terms. Start by finding the GCD of 70 and 2.

The gcd of 70 and 2 is 2, so 70/2 = (2×35)/(2×1) = 2/2×35 = 35:

Answer: x = 35

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4 years ago
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3 years ago
Please help &lt;3 Find the value of the variables in the parallelograms.
Mashutka [201]

Answer:

Hello!

answer: a = 5

b = 8

Step-by-step explanation:

since we are given 1 side of the parellogram we can use that to figure out the rest! parellograms will add up to 360 degrees since 1 angle is 115 that means the other will be 115 115 + 115 = 230

360 - 230 = 130 since there 2 angles across from each other they will both equal the same so 130 ÷ 2 = 65 so both of these angles will have to equal 65 because 65 + 65 + 115 + 115 = 360 a = 5 because 14 x 5 = 70 and 70 - 5 = 65 b = 8 because 8 x 8 = 64 and 64 + 1 = 65 Hope this helps you understand!

8 0
3 years ago
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