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2 years ago

What is the missing step in this proof? a. ∠abc ≅ ∠dbe b. ∠bca ≅ ∠bde c. ∠acb ≅ ∠deb d. ∠bde ≅ ∠ade e. ∠cab ≅ ∠dac

Mathematics

1 answer:

Nana76 [90]2 years ago

5 0

Based on the reflexive property of congruency, the missing step in the proof is: A. ∠ABC ≅ ∠DBE

<h3>What is the Reflexive Property of Congruency?</h3>

The reflexive property of congruency states that an angle will always be congruent to itself.

In the diagram given, we can prove that ∠ABC ≅ ∠DBE based on the reflexive property.

Therefore, the missing step in nthe proof is: A. ∠ABC ≅ ∠DBE

Learn more about reflexive property on:

brainly.com/question/1601404

#SPJ4

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since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:

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substitutig the equivalent expressions on each side:

$\pi r^2 h = \frac{1}{2} (2\pi r^2+2\pi r h)$

and we simplify and solve for the height (since is the value we don't know of the cylinder):

$\pi r^2 h = \pi r^2+\pi r h\\\pi r^2h-\pi rh=\pi r^2\\h(\pi r^2-\pi r)=\pi r^2\\h=\pi r^2/(\pi r^2-\pi r)$

we substitute the value of the radius $r=7cm$ , and we get:

$h=\pi (7cm)^2/(\pi (7cm)^2-\pi (7cm))\\h=153.938/(153.938-21.991)\\h=153.938/131.947\\h=1.1666cm$

thus the volume is:

$V=\pi r^2h$

$V=\pi (7cm)^2(1.1666cm)\\V=179.6cm^3$

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