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3 years ago

Line segment W Y is an altitude in triangle WXZ.

Mathematics

2 answers:

AleksAgata [21]3 years ago

6 0

Answer:

∠ XWZ is a right angle.

Step-by-step explanation:

See the given diagram.

In triangle WXZ, WY is an altitude.

So, ∠ WYZ = ∠ XYW = 90°

Now, given that ∠ ZWY = ∠ WXY.

Now, from Δ XYW, since, ∠ XYW = 90° so, ∠ WXY + ∠ YWX = 90° ....... (1)

⇒ ∠ ZWY + ∠ YWX = 90° {Since, ∠ ZWY = ∠ WXY}

⇒ ∠ XWZ = 90°

Therefore, the angle XWZ is right angle. (Answer)

konstantin123 [22]3 years ago

4 0

Answer:

B. XWZ is a right angle

Step-by-step explanation:

edge 2020 plz vote brainliest

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Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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4 years ago

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elena-s [515]

Answer:

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Step-by-step explanation:

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3 years ago

A rectangular prism and a cylinder have the same height. The length of each side of the prism base is equal to the diameter of t

NARA [144]

Answer:

The rectangular prism has the greater volume

Step-by-step explanation:

Given

Prism:

$Length = Width = a$

$Height = h$

Cylinder

$Diameter = a$

$Height = h$

Required

Shape with greater volume

The volume of a rectangular prism is:

$Volume = Length * Base * Height$

So, we have:

$V_1 = a*a*h$

$V_1 = a^2h$

The volume of a cylinder is:

$Volume = \pi r^2h$

Where

$r = \frac{d}{2}$

$r = \frac{a}{2}$

So, we have:

$V_2 = \pi *(a/2)^2 h$

$V_2 = \pi *\frac{a^2}{4} h$

$\pi = 3.14$

So:

$V_2 = 3.14*\frac{a^2}{4} h$

$V_2 = \frac{3.14}{4} a^2h$

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So, we have:

$V_1 = a^2h$

$V_2 = 0.785 a^2h$

Both expressions have the same factor but different coefficient

The expression with greater coefficient has the greater volume

So, the $rectangular$ $prism \\$ has the $greater$ $volume$

Because: $1 > 0.785$

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3 years ago