Please help! math! (17 points was max) PICTURE ATTACHED

Mathematics

1 answer:

mario62 [17]3 years ago

6 0

Step-by-step explanation:

angle A and Angle D are congruent. as are Angle C and Angle F.

because you have two pairs of congruent angles this proves the triangles are similar using AA Theorem.

I couldn't read the 3rd question. if you post as a comment I can look at it better.

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A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 170lb and each box

Murrr4er [49]

Step-by-step explanation:He can only hold 3 because 170 divivded by 50 = 3 Your welcome!!

3 0

3 years ago

Find the volume of a rectangular prism with dimensions 21 in. by 20 in. by 19 in., to the nearest hundredth cubic foot

Maurinko [17]

Answer:

The dimensions of a rectangular prism are 21 in. by 20 in. by 19 in.

To find:

The volume of the rectangular prism.

Solution:

Let the length, breadth and height are 21 in, 20 in and 19 in respectively.

Volume of the rectangular prism is

$V=Length\times Breadth\times Height$

$V=21\times 20\times 19$

$V=7980$

Therefore, the volume of the rectangular prism is 7980 cubic inches.

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3 years ago

The sum of three integers is 92. The second number is three times the first number. The third number is ten less than twice the

SVEN [57.7K]

Given,
The sum of three integers is 92

So,
Let,
The first integer be "x"
The second integer be "y"
The third integer be "z"

Now,
According to the question,
y = 3x ..............equation (1)
z = 2x - 10 .............. equation (2)
x + y + z = 92 ..............equation (3)

Now,
Substituting the value of "y" and "z" from equation (1) and (2), we get,

x + (3x) + (2x - 10) = 92
x + 3x + 2x - 10 = 92
6x - 10 = 92
6x = 92 + 10
x = 102 / 6
x = 17

Now,
substituting the value of "x" in equation (1)
y = 3 (17)
y = 51

Now,
Substituting the value of "x" in equation (2),

z = 2 (17 ) - 10
z = 34 - 10
z = 24

So, the numbers are 17, 51 and 24

NEVER HATE MATH!!!

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3 years ago

Factoring using GCF 15cd + 30c^2d^2

olchik [2.2K]

Answer:

15cd(1 + 2cd)

Step-by-step explanation:

greatest common factor is 15cd

$15cd*1 + 15cd*2cd\\= 15cd(1 + 2cd)$