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3 years ago

Triangle MNO ~ triangle PRQ. If 89o 69o 79o 99o

Mathematics

1 answer:

lana66690 [7]3 years ago

7 0

Answer:

The measure of angle R is 99° ⇒ Last answer

Step-by-step explanation:

In similar triangles

Corresponding angles are equal in measures
Corresponding sides are proportion

∵ Δ MNO is similar to Δ PRQ

∴ m∠M = m∠P

∴ m∠N = m∠R

∴ m∠O = m∠Q

In Δ MNO

∵ m∠M = 23°

∵ m∠O = 58°

- The sum of the measures of the interior angles of a Δ is 180°

∵ m∠M + m∠N + m∠O = 180°

∴ 23 + m∠N + 58 = 180

- Add the like terms in the left hand side

∴ 81 + m∠N = 180

- Subtract 81 from both sides

∴ m∠N = 99°

∵ m∠R = m∠N ⇒ proved up

∴ m∠R = 99°

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Luba_88 [7]

Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

(A)Six of the one-half cubes would have a volume of 3 cubic units.
(D)Three of the one-third cubes will make 1 unit cube.
(E)Two of the one-half cubes will make 1 unit cube.
(F)Both stacks will have a volume of 3 cubic units.

Step-by-step explanation:

Marissa claims that stacking 6 blocks with dimensions of $\frac{1}{2}X1X1$ will give the same volume as stacking 9 blocks with dimensions of $\frac{1}{3}X1X1$ .

First, let us examine the volume of each of the blocks.

For Block 1

The dimensions are: $\frac{1}{2}X1X1$

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For Block 2

The dimensions are: $\frac{1}{3}X1X1$

Volume of 1 block = $\frac{1}{3}X1X1=\frac{1}{3} $ cubic units$

Volume of 9 blocks of dimension $=9*\frac{1}{3} =3$ cubic units$

The following statements out of Marissa's claim are true:

(A)Six of the one-half cubes would have a volume of 3 cubic units.

(D)Three of the one-third cubes will make 1 unit cube.

$3*\frac{1}{3} =1$ cubic units$

(E)Two of the one-half cubes will make 1 unit cube.

$2*\frac{1}{2} =1$ cubic units$

(F)Both stacks will have a volume of 3 cubic units.

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kotykmax [81]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

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Oksana_A [137]

First you would add 2z to both sides

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^^ thats your answer :)

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Alenkasestr [34]

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