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Paladinen [302]

2 years ago

12

I need help please the question is in the picture.

1 answer:

Basile [38]2 years ago

7 0

Answer:

5x+12=42

x=6

Step-by-step explanation:

8+x+x+2+3x+2=42

5x+12=42

5x=42-12

5x=30

x=6

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The length of each side of a regular pentagon is increased by 8 inches, so the perimeter is now 65 inches. What is the original

evablogger [386]

<em>Here</em> as the <em>Pentagon</em> is <em>regular</em> so it's <em>all sides</em> will be of <em>equal length</em> . And if we assume It's each side be<em> </em><em><u>s</u></em> , then it's perimeter is going to be <em>(s+s+s+s+s) = </em><em><u>5s</u></em>.And as here , each <em>side</em> is increased by <em>8 inches</em> and then it's perimeter is <em>65 inches</em> , so we got that it's side after increament is<em> (s+8) inches</em> and original length is <em>s inches </em>. And if it's each side is <em>(s+8) inches</em> , so it's perimeter will be <em>5(s+8)</em> and as it's equal to <em>65 inches</em> . So , <em><u>5(s+8) = 65</u></em>

${:\implies \quad \sf 5(s+8)=65}$

${:\implies \quad \sf 5s+5\times 8=65}$

${:\implies \quad \sf 5s+40=65}$

${:\implies \quad \sf 5s=65-40}$

${:\implies \quad \sf 5s=25}$

${:\implies \quad \sf s=\dfrac{25}{5}=5}$

${:\implies \quad \bf \therefore \quad \underline{\underline{s=5\:\: Inches}}}$

As we assumed the original side to be <em><u>s</u></em> .

<em>Hence, the original side's length 5 inches </em>

8 0

2 years ago

Lin and Andre start walking toward each other at the same time from opposite ends of the 22-mile walking trail. Lin walks at a s

goldfiish [28.3K]

Answer:

Step-by-step explanation:

let they meet after t hours

2.5t+3t=22

5.5 t=22

55/10 t=22

t=22×10/55=4 hours

after 4 hours they meet.

8 0

3 years ago

Read 2 more answers

Sarah calculates that she spends 15% of a school day and science class if she spends 75 minutes and science how many minutes doe

Monica [59]

.15x = 75 Divide both sides by .15 you get 500 minutes

4 0

3 years ago

Subtract 6x^2-5x+3 from (3x^2+8x-4)

Art [367]

3x^2 + 8x - 4 - (6x^2 - 5x + 3)....distribute thru the parenthesis
3x^2 + 8x - 4 - 6x^2 + 5x - 3 .....combine like terms
-3x^2 + 13x - 7 <==

8 0

2 years ago

swat32

Answer:

$\log_{10}(147) = 2.1673$

Step-by-step explanation:

Given

$\log_{10} 3 = 0.4771$

$\log_{10} 5 = 0.6990$

$\log_{10} 7= 0.8451$

$\log_{10} 11 = 1.0414$

Required

Evaluate $\log_{10}(147)$

Expand

$\log_{10}(147) = \log_{10}(49 * 3)$

Further expand

$\log_{10}(147) = \log_{10}(7 * 7 * 3)$

Apply product rule of logarithm

$\log_{10}(147) = \log_{10}(7) + \log_{10}(7) + \log_{10}(3)$

Substitute values for log(7) and log(3)

$\log_{10}(147) = 0.8451 + 0.8451 + 0.4771$

$\log_{10}(147) = 2.1673$

3 0

2 years ago