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Reptile [31]
3 years ago
10

Do the ratios 4:12 and 5:15 form a proportion

Mathematics
2 answers:
guajiro [1.7K]3 years ago
8 0
Answer is up here ^^^
Strike441 [17]3 years ago
5 0

Answer:

4:12=5:15

in propotion form

4/12=5/15

Step-by-step explanation:

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20 points and Brainliest if answered and explained!
Rasek [7]
What you need to know for this case is that the sum of the internal angles of a triangle is 180 °
 We then have the following equation that is given by:
 (2x) + (3x) + (4x) = 180
 Clearing x we have:
 9x = 180
 x = 180/9
 x = 20
 Therefore we have:
 m∠A = (40) °
 m∠B = (60) °
 m∠C = (80) °
 Answer:
 B) m∠B = 60 °
6 0
3 years ago
What is a solution to the equation 3 / m + 3 - M / 3 - M equals m^2 + 9 / m^2-9?​
Mnenie [13.5K]

Answer: Last option.

Step-by-step explanation:

 Given the equation:

\frac{3}{m+3}-\frac{m}{3-m}=\frac{m^2+9}{m^2-9}

Follow these steps to solve it:

- Subtract the fractions on the left side of the equation:

\frac{3(3-m)-m(m+3)}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{9-3m-m^2-3m}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}

- Using the Difference of squares formula (a^2-b^2=(a+b)(a-b)) we can simplify the denominator of the right side of the equation:

\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{(m+3)(m-3)}

- Multiply both sides of the equation by (m+3)(3-m) and simplify:

\frac{(-m^2-6m+9)(m+3)(3-m)}{(m+3)(3-m)}=\frac{(m^2+9)(m+3)(3-m)}{(m+3)(m-3)}\\\\-m^2-6m+9=\frac{(m^2+9)(3-m)}{(m-3)}

- Multiply both sides by m-3:

(-m^2-6m+9)(m-3)=\frac{(m^2+9)(3-m)(m-3)}{(m-3)}\\\\(-m^2-6m+9)(m-3)=(m^2+9)(3-m)

- Apply Distributive property and simplify:

(-m^2-6m+9)(m-3)=(m^2+9)(3-m)\\\\-m^3-6m^2+9m+3m^2+18m-27=3m^2+27-m^3-9m\\\\-m^3-3m^2+27m-27+m^3-3m^2+9m-27=0\\\\-6m^2+36m-54=0

- Divide both sides of the equation by -6:

\frac{-6m^2+36m-54}{-6}=\frac{0}{-6}\\\\m^2-6m+9=0

- Factor the equation and solve for "m":

(m-3)^2=0\\\\m=3

In order to verify it, you must substitute m=3 into the equation and solve it:

\frac{3}{3+3}-\frac{3}{3-3}=\frac{3^2+9}{3^2-9}\\\\\frac{3}{6}-\frac{3}{0}=\frac{18}{0}

<em>NO SOLUTION</em>

7 0
3 years ago
Rashida owns a bike rental company.
BartSMP [9]
So, our starting point, at zero hours, you already owe ten dollars. 
So far you know it is +10. 
Now, you multiply for by however many hours you have rented the bike for.
So the equation is:
4x+10.
x= # of hours bike is rented for.
Hope this helps! Have a happy holiday!
7 0
2 years ago
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HELP ME ASP<br> Convert 14 ft to yd.<br><br> 168 yds<br> 4 2/3 yds<br> 1 1/7 yd<br> 42 yds
netineya [11]

Answer:

4 2/3 yds

Step-by-step explanation:

1/3 yds in a foot

1/3 x 14 = 4 2/3

3 0
2 years ago
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Death Valley located in California is the lowest place in North America.It is 282 feet below sea level or -282 feet. The Dead Se
slega [8]
-1359.24 feet is the answer to the question
8 0
3 years ago
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