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3 years ago

If triangle ABC congruent triangle MNO, then what corresponding angle is congruent to angle N?

Mathematics

2 answers:

Marrrta [24]3 years ago

8 0

Answer: $\angle{B}$

Step-by-step explanation:

Given: Triangle ABC congruent triangle MNO.

We know that if two triangles are congruent then their corresponding angles and sides are also congruent by CPCTC [Congruent parts congruent triangle]

If triangle ABC congruent triangle MNO, then

$\angle{A}$ corresponds to $\angle{M}$ [First letters]

$\angle{B}$ corresponds to $\angle{N}$ [Second letters]

$\angle{C}$ corresponds to $\angle{O}$ [Third letters]

Hence, the corresponding angle congruent to $\angle{N}$ = $\angle{B}$

vitfil [10]3 years ago

7 0

B
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A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the

kolbaska11 [484]

Answer:

Volume of cylinder = $\pi r^2h$

Step-by-step explanation:

Given : A cylinder fits inside a square prism.

To find : The volume of cylinder

Solution : Refer the attached graph.

Area of circle = $\pi r^2$

Area of square = $s^2$

Side of square = diameter of circle= $D^2$

Diameter = 2r

∴ Area of square= $2r^2=4r^2$

$\frac{Area of circle}{Area of Square}=\frac{\pi r^2}{4r^2}=\frac{\pi}{4}$

Area of circle is $\frac{\pi }{4}$ of area of square.

Volume is always = area × height

Volume of prism = Area of square × h = $4r^2h$

Volume of cylinder = Area of circle × h = $\pi r^2h$

Now, rate

$\frac{Volume of cylinder}{Volume of prism}=\frac{\pi r^2h}{4r^2h}=\frac{\pi}{4}$

⇒Volume of cylinder is $\frac{\pi }{4}$ of Volume of prism.

Volume of Cylinder = $\frac{\pi }{4}\times Volume of prism$

Volume of cylinder = $\frac{\pi }{4}\times 4r^2h$

Volume of cylinder = $\pi r^2h$

6 0

3 years ago

Read 2 more answers

Lourdes are 5/6 of a brownie. Zachary are 4/5 of a brownie of the same size. Who are more brownies?

OleMash [197]

Answer:

Lourdes has more brownies.

Step-by-step explanation:

First, you have to find a common denominator. Whatever you do to the bottom of the fraction you do to the top. 5/6 and 4/5 has a common denominator of 30. Multiply both digits in 5/6 by 5. Then multiply both digits in 4/5 by 6. Then you can compare the fractions. With the common denominators, Lourdes should have 25/30 brownies and Zachary has 24/30. Compare.

24/30 < 25/30. So Lourdes has the most brownies!

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3 years ago

Find the length of the prism if the width is 12 feet, the height is 18 feet, and the volume of the prism is 3240 cubic feet.

olga55 [171]

Known :

w = 12 feet

h = 18 feet

V = 3.240 feet³

Asked :

l = ...?

Answer :

V = l × w × h

3240 = l × 12 × 18

3240 = 216 l

l = 3240 ÷ 216

l = 15 feet

So, the length is 15 feet

Hope it helps and is useful :)

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zlopas [31]

Answer:

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Step-by-step explanation:

1 is the nearest in 1.2

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marusya05 [52]

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Step-by-step explanation:

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