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2 years ago

If ΔABC is similar to ΔDEF, the m∠A = 50 degrees, and m∠E = 70 degrees, what is m∠C?

Mathematics

2 answers:

Goshia [24]2 years ago

5 0

A) 60o because similar triangles have corresponding angles equal so then by Angle Sum Property of Triangles you will get 60o

Kamila [148]2 years ago

3 0

A 60 because the triangle is always similar

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The answer would
be 13/10

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What is five to the -7th power times five to the 12 power

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5^-7 * 5^12

Because the base is the same, add the exponents.
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A jumbo crayon is composed of a cylinder with a conical tip. The cylinder is 12 cm tall with a radius of 1.5 cm, and the cone ha

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Answer:

Part 1) The lateral area of the cone is $LA=2\pi\ cm^{2}$

Part 2) The lateral surface area of the cylinder is $LA=36\pi\ cm^{2}$

Part 3) The surface area of the crayon is $SA=41.50\pi\ cm^{2}$

Step-by-step explanation:

Part 1) Find the lateral area of the cone

The lateral area of the cone is equal to

$LA=\pi rl$

we have

$r=1\ cm$

$l=2\ cm$

substitute

$LA=\pi (1)(2)$

$LA=2\pi\ cm^{2}$

Part 2) Find the lateral surface area of the cylinder

The lateral area of the cylinder is equal to

$LA=2\pi rh$

we have

$r=1.5\ cm$

$h=12\ cm$

substitute

$LA=2\pi (1.5)(12)$

$LA=36\pi\ cm^{2}$

Part 3) Find the surface area of the crayon

The surface area of the crayon is equal to the lateral area of the cone, plus the lateral area of the cylinder, plus the top area of the cylinder plus the bottom base of the crayon

Find the area of the bottom base of the crayon

$A=\pi[r2^{2}-r1^{2}]$

where

r2 is the radius of the cylinder

r1 is the radius of the cone

substitute

$A=\pi[1.5^{2}-1^{2}]$

$A=1.25\pi\ cm^{2}$

Find the area of the top base of the cylinder

$A=\pi(1.5)^{2}=2.25\pi\ cm^{2}$

Find the surface area

$SA=2\pi+36\pi+2.25\pi+1.25\pi=41.50\pi\ cm^{2}$

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2 years ago

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Draw a diagram.
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so 8.8 is to 4 as 22 is to x
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2 years ago

A dance school has 54 students who learn salsa, and 23 of those students also learn ballet. There are 15 students who do not lea

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Answer:

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Step-by-step explanation:

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