Mathematics: What two fractions are equivalent to 1 fifth (A)5 over 20 (B) 7 over 35 (C) 8 over 45 (D) 12 over 30

1. Check the picture attached.2. Triangles OAB and OEC are similar as they have congruent angles, as shown in the figure.3. Similarity means that there is a scale factor of similarity, say k.4. (corresponding sides, each in front of angles alpha)also (corresponding sides in front of the vertec angles AOB and EOC)so 5. x is y-12, so let s find the areas x and y, in terms of a, so that we form an equation and solve for a.x = To find the area y we need to write OC in terms...

What two fractions are equivalent to 1 fifth (A)5

Ответ:

bria58490

13.09.2021

Mathematics

b) 7/35

Step-by-step explanation:

$\dfrac{1*7}{5*7}=\dfrac{7}{35}$

7/35 is the equivalent fraction to 1/5

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Ответ:

PermanentJetlag

04.01.2021

Mathematics

1. Check the picture attached.

2. Triangles OAB and OEC are similar as they have congruent angles, as shown in the figure.

3. Similarity means that there is a scale factor of similarity, say k.

4.
$\frac{12-t}{t}=k$ (corresponding sides, each in front of angles alpha)

also

$\frac{9-a}{a}=k$ (corresponding sides in front of the vertec angles AOB and EOC)

so $\frac{12-t}{t}=\frac{9-a}{a}$

   $\frac{12}{t}-1= \frac{9}{a}-1 
$

   $\frac{12}{t}= \frac{9}{a}$

   $\frac{4}{t}= \frac{3}{a}$

$t= \frac{4a}{3}$

5.
x is y-12, so let's find the areas x and y, in terms of a, so that we form an equation and solve for a.

x =   $\frac{1}{2}at= \frac{1}{2}a* \frac{4a}{3}= \frac{ 2a^{2} }{3}$

To find the area y we need to write OC in terms of a:

OC= $t*k=\frac{4a}{3}* \frac{9-a}{a}= \frac{36-4a}{3}$

so y= $\frac{1}{2}*(9-a)*\frac{4(9-a)}{3}= \frac{ 2(9-a)^{2} }{3}$

6.

x=y-12

$\frac{ 2a^{2} }{3}=\frac{ 2(9-a)^{2} }{3} - \frac{36}{3}$

$2a^{2}=2(81-18a+ a^{2} )-36$

$2a^{2}=162-36a+ 2a^{2} -36$

36a=126

a=126/36=3.5

The figure below is made up of rectangle abcd and triangle aed. shaded part x is 12 square centimetr

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What two fractions are equivalent to 1 fifth (A)5 over 20
(B) 7 over 35
(C) 8 over 45
(D) 12 over 30

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