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3 years ago

Points J and Kare midpoints of the sides of triangle FGH. What is the value of y

Mathematics

1 answer:

vichka [17]3 years ago

7 0

Answer:

Step-by-step explanation:

As we can see, the sides of the bigger triangle is twice that or the smaller

Thus, we have it that for similar sides, we simply have to multiply the smaller side length by 2 to give the larger

We have this as:

2(2y + 5) = 5y + 3

4y + 10 = 5y+ 3

5y-4y = 10-3

y = 7

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3 years ago

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Scorpion4ik [409]

Answer: The answer to that would be 4/5= 32/40.

Step-by-step explanation: It is 4/5 =32/40 because if you were to divide the 40 by the 5 you would get 8. Since you got 8 when dividing 40 by 5 you would multiply 8x4. You would do this because whatever you do to the denominator you would do to the numerator. So you would multiply 4/5 x 8/8 and get 32/40. PLEASE MARK BRAINLIEST!!!!

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3 years ago

The denominator of a fraction is 3 more than its numerator. If 2 is added to both the numerator and the denominator, the 2 new f

Julli [10]

Answer:

4/7

Step-by-step explanation:

Using the hint, we have an original fraction of x/(x+3). The given manipulations and relations can be used to find the value of x, and the original fraction.

<h3>adding 2 to each term</h3>

The new fraction is ...

$\dfrac{x+2}{(x+3)+2}=\dfrac{x+2}{x+5}\\$

<h3>new value</h3>

Apparently, the new value of this fraction is 2/3. We can use this to find the value of x.

$\dfrac{x+2}{x+5}=\dfrac{2}{3}\\\\3(x+2)=2(x+5)\qquad\text{multiply by $3(x+5)$}\\\\3x+6=2x+10\qquad\text{eliminate parentheses}\\\\x=4\qquad\text{subtract $2x+6$}$

The original fraction is ...

4/(4+3) = 4/7

_____

<em>Alternate solution</em>

In the ratio 2/3, the numerator is twice the difference between the denominator and numerator. 2 = 2(3 -2)

The problem statement tells us the difference between the numerator and denominator is 3. That is not changed by adding the same number to each. This means the fraction equivalent to 2/3 is (2·3)/(3·3) = 6/9. Subtracting 2 from each of the numerator and denominator gives the original fraction:

(6-2)/(9-2) = 4/7

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2 years ago