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Step2247 [10]
3 years ago
9

If one angle of a triangle is 90°, then the other two add to 90°. Write the To Prove statement

Mathematics
2 answers:
ratelena [41]3 years ago
7 0
A triangle has three angles, and all of them adds up to 180 degrees. Therefore, if one angle is 90 degrees, the other two angles must add up to 90 degrees in order for the angles to equal 180 degrees.
sdas [7]3 years ago
6 0

Answer:

If one angle of a triangle is 90°, then the other two add to 90°.

Step-by-step explanation:

Let one angle of a triangle is 90°.

Let in triangle ABC the measure of angle B is  90°.

According to the angle sum property of the triangle the sum of interior angles of a triangle is always 180°.

Using angle sum property of a triangle, we get,

\angle A+\angle B+\angle C=180^{\circ}

\angle A+90^{\circ}+\angle C=180^{\circ}

\angle A+\angle C=180^{\circ}-90^{\circ}

\angle A+\angle C=90^{\circ}

Therefore the sum of angle A and C is 180°.

Hence proved that If one angle of a triangle is 90°, then the other two add to 90°.

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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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324 + 169 ? 729
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