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3 years ago

WILL GIVE BRAINLIEST TO THE FIRST CORRECT ANSWER

Mathematics

1 answer:

nikitadnepr [17]3 years ago

7 0

1. If the angles are congruent the measures are equal. That's the angle congruence postulate, usually too obvious to name.

2. The measures of complementary angles add to 90 degrees. That's the definition of complementary angles.

3. We substitute m∠2 for m∠1 so now m∠2 + m∠3 = 90 degrees.

4. The measures add to 90 degrees so now we conclude ∠2 and ∠3 are complementary.

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Why did this proof bother with the measures at all? Proof: Angles 2 and 3 are complementary. Angle 1 is congruent to Angle 3. Therefore Angles 1 and 3 are complementary.

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Two rectangular prisms have the same volume. The area of the base, B, of the blue prism is 418 square units. The area of the bas

kenny6666 [7]

Answer:

The height of the blue prism is half the height of the red prism

Step-by-step explanation:

Represent the volume of the blue prism with Vb and the red prism with Vr

So, we have:

$V_r = V_b$

$A_b = 418$ --- base area of the blue

$A_r = \frac{1}{2}A_b$ --- base area of the red

Required

Determine which statement about the heights of the prisms is true

Volume is calculated as:

$Volume = Base\ Area * Height$

For the blue prism:

$V_b = A_b * h_b$

For the red prism

$V_r = A_r * h_r$

Equate both volumes

$V_r = V_b$

$A_r * h_r = A_b * h_b$

Substitute the expression for $A_r$

$\frac{1}{2}A_b * h_r = A_b * h_b$

Divide both sides by $A_b$

$\frac{1}{2} h_r = h_b$

<em>This implies that the height of the blue prism is half the height of the red prism</em>

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3 years ago

Allen is building bird houses that require 1/2 feet long. How many pieces that are exactly 1/2 feet long can be made from a boar

Varvara68 [4.7K]

There are 2 halfs in 1 and 1/4 can't make a half so the answer is..

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3 years ago

The circumference of a circle 25.12ft. What is the circle’s diameter (take =3.14

marshall27 [118]

Answer:

Diameter = 8 ft

Step-by-step explanation:

To find diameter, we need to work backwards from the formula for circumference of a circle.

Circumference = 2πr

given that π = 3.14

Circumference = 2*3.14*r

25.12 = 2*3.14*r

25.12 = 6.28 * r

4 = r

Radius = 4

Formula for Diameter =

D = 2r

D = 2*4

D = 8

Diameter = 8

Lets Check

Circumference = 2 * 3.14 * 4

Circumference = 25.12

Correct

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-Chetan K

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3 years ago

A rectangular soccer field is 80 meters wide and 110 meters long. The coach asks players to run from one corner of the field to

seraphim [82]

Answer:

Step-by-step explanation:

Goven the length of the field = 110m

Width = 80m

The length of the diagonal is expressed using the pythagoras theorem;

d² = l² + w²

d² = 110² + 80²

d² = 12100 + 6400

d² = 18500

d = √18500

d = 136.01

Hence the players have to run 136.01m diagonally

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3 years ago

Lila evaluates the expression using the following steps:(−7.13+63.97)+(−54.8−3.4)−71.1+(−58.2)−129.3Describe the error that Lila

mihalych1998 [28]

Lila's error was that she added -7.13 to 63.97 to get -71.1

Lila steps are as folows

(−7.13 + 63.97) + (−54.8 − 3.4) = −71.1 + (−58.2) = −129.3

In the first bracket, Lila was suppose to subtract 7.31 from 63.97 since there is a negative in front of 7.31.

So, the correct expression should be

(−7.13 + 63.97) + (−54.8 − 3.4) = 56.84 + (−58.2) = 56.84 - 58.2 = −1.36

So, Lila's error was that she added -7.13 to 63.97 to get -71.1

Learn more about addition and subtraction here:

brainly.com/question/16812794

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3 years ago

***WILL GIVE BRAINLIEST TO THE FIRST CORRECT ANSWER***

WILL GIVE BRAINLIEST TO THE FIRST CORRECT ANSWER