Bottom left Angle: Top Angle: Bottom right Angle:

Mathematics

1 answer:

Arturiano [62]2 years ago

8 0

Angles in a triangle always add up to 180 degrees

Here, we add up all the angles given to equal it to 180 degrees:

X + X + 10 + X + 5 = 180

Collect like terms -> 3X + 10 + 5 = 180

Add the whole numbers -> 3X + 15 = 180

Take 15 from to the other side (then make it negative) to isolate the X:
3X = 180 - 15

The subtract -> 3X = 165

Take 3 over to the other side (and it it should divide 165) and isolate the X -> X = 165/3

Finally, X = 55

Now wherever you see X in the triangle, replace it with 55.

With that, the top angle = 55 + 10 = 65 degrees
The bottom left angle = 55 + 5 = 60 degrees
The bottom right angle = 55 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.