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ratelena [41]
3 years ago
14

Find the value of x if w is perpendicular to y

Mathematics
1 answer:
Marta_Voda [28]3 years ago
3 0
This relationship again shows that since w and y are perpendicular to each other that the smaller angles will add up to give 90 degrees.

3x + 3 + 15 = 90

3x + 18 = 90

3x = 90 - 18

3x = 72

X =72/3

X = 36 degrees
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Ice has a density of 0.92 g/cm3. What is the volume of 100 grams of ice? If the ice completely melted, what would the volume of
kicyunya [14]

Hello!

To find the volume of the water, we would need to use the density formula. The density formula is d = m/V.

In this formula, d is the density, m is the mass and V is the volume.

1. To find the volume of 100 grams of ice, we substitute the appropriate values into the formula and solve for the volume using basic algebra.

0.92g/cm³ = 100g/V (multiply both sides by V)

0.92g/cm³ · V = 100g (divide both sides by 0.92g/cm³)

V = 108.69 cm³.

The volume of 100 grams of ice is about 108.69 cm³.

2. To find the volume of the completely melted ice, we would use the same formula, but the density is now 1.00 g/mL.

1.00g/mL = 100g/V (multiply both sides by V)

1.00g/mL · V = 100g (divide both sides by 1.00g/mL)

V = 100 mL

Therefore, the volume of the melted ice is 100 mL.

<u>Final answers</u>:

  1. 108.69 g/cm³
  2. 100 mL
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First you need to find the sum of all the interior angles using the formula (n-2)*180, where n is the number of sides.

There are 6 sides to this figure so the interior angles need to equal (6-2)*180 = 4*180 = 720.

Now add all the given angles together: 2x + 3x + 3x + 3x +3x +2x = 16x

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X = 720 / 16

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Now we know X, so to find E, replace X with 45 and multiply by 3:

3X = 3(45) = 135.

E = 135. The answer is D.

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3 years ago
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