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Mariana [72]
3 years ago
9

Someone help me solve this step by step and please answer within 20 minutes

Mathematics
2 answers:
ollegr [7]3 years ago
7 0

Answer:

< 1 \: and < 2 = 180 \\ 180 - 45 = 135 \\ also \: \:  \:  135 + (3x + 5) = 180 \\ 3x = 40 \\ x =  \frac{40}{3}  \\ x = 13 \ \frac{1}{3}

Or at least there is very easy solution:

< 1  =

The answer of x is:

13 \ \frac{1}{3}

Good luck!

Intelligent Muslim.

Natalka [10]3 years ago
3 0

Answer:

x=40/3

Step-by-step explanation:

1. measure of angle 1 and measure of angle 6 are congruent

Reason: vertical angles

(other way: measure of angle 1 is 45 so measure of angle 2 is 135.

using this you can also see that they are congruent)          

2. 3x+5=45

Reason: algebra and substitution

This is kind of a statement and reason if you are trying to do a formal proof.

Hope it helps and if I am right could you please give a brainliest?

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2 years ago
The width of a rectangular prism is six times its length. The height is five times its length. If its length is m units, what is
I am Lyosha [343]

Answer:

30m^3 cubic units.

Step-by-step explanation:

Let m represent length of the rectangular prism.

We have been given that the width of a rectangular prism is six times its length, so width of the prism would be 6m.

We are also told that the height is five times its length, so height of the prism would be 5m.

We know that volume of rectangular prism is height times width times length.

\text{Volume of rectangular prism}=lwh

\text{Volume of rectangular prism}=m\cdot 6m\cdot 5m

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Therefore, the volume of the given rectangular prism would be 30m^3 cubic units.

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2 years ago
A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number a
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Step-by-step explanation:

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The owner of an apartment complex is preparing a report about the property. he wants to show how the number of available apartme
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3 years ago
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An object launched vertically from a point that is 37.5 feet above ground level with an initial velocity of 48.6 feet per second
Elis [28]

Answer: 3.675 seconds

Step-by-step explanation:

Hi, when the object hits the ground, h=0:

h=−16t^2+48.6t+37.5

0=−16t^2+48.6t+37.5

We have to apply the quadratic formula:  

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  

Replacing with the values given:  

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x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)  

x = [ -48.6 ± √ 4,761.96] /-32

x = [ -48.6 ± 69] /-32

Positive:  

x = [ -48.6 + 69] /-32 = -0.6375

Negative:  

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Feel free to ask for more if needed or if you did not understand something.  

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