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SOVA2 [1]
3 years ago
5

HELPPP!!!

Mathematics
1 answer:
xxMikexx [17]3 years ago
8 0

The angles ∠CFE and ∠AFB are vertically opposite angles. Then the value of x will be 6.

<h3>What is an angle?</h3>

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

We know that the angle ∠DFE is 90°.

Then the sum of the angle ∠CFD and ∠DFE will be

∠CFD + ∠DFE = 27° + 90°

∠CFD + ∠DFE = 117°

Then the angles ∠CFE and ∠AFB are vertically opposite angles. Then we have

∠CFD = ∠DFE

Put the values

21x - 9 = 117

    21x = 126

        x = 6

More about the angled link is given below.

brainly.com/question/15767203

#SPJ1

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3 years ago
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Jerome has 1/4 of the groups video games at his house. Mario has 2/5 of the groups video games at his house. What fraction of th
romanna [79]
13/20 of the group's video games are at Jerome or Mario's house.

Jerome has 1/4 of the group's video games.
Mario has 2/5 of the group's video games.

The question asks what fraction of the video games are at either of their houses. Therefore, we need to add the fractions together to find out the total fraction of the video games at both of their houses.

1/4  +  2/5
We can't add these together because they have different denominators. We'll need to find the least common denominator of 4 and 5 before we can add them. If you can't think of a number that the two denominators can both multiply to get, an easy way to find the common denominator is to multiply the numbers together.

4 x 5 = 20
Therefore, our common denominator is 20. Now, we need to convert the fractions so that they can have a denominator of 20.

1/4 = ?/20
In order to find the numerator, ask yourself what we multiplied the denominator by to get the new denominator. In this case, we multiplied 4 by 5 to get 20. Therefore, we need to multiply 1 by 5 to get an equal fraction.

1 x 5 = 5
1/4 = 5/20  
Our fraction is 5/20.

2/5 = ?/20
Now, let's do the same thing with the other fraction. In this case, we multiplied 5 by 4 to get 20, so we need to multiply 2 by 4 to get an equal fraction.

2 x 4 = 8
2/5 = 8/20
Our fraction is 8/20.

Now that the fractions both have the same denominator, we can add them together easily.

5 + 8 = 13
5/20 + 8/20 = 13/20
Add the numerators together to get the final answer.

Therefore, 13/20 of the group's video games are either at Jerome or Mario's house.

Hope this helps!
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