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Nady [450]
3 years ago
9

WILL MARK BRAINLIEST

Mathematics
2 answers:
Ivanshal [37]3 years ago
8 0

Answer:

27

Step-by-step explanation:

First you need to find x.

It is shown that DE=EF, so we can use this.

5x-3=3x+7

5x=3x+10

2x=10

x=5

Then, you plug in the value of the variable and solve.

6(5)-3

30-3

27 = DF

zubka84 [21]3 years ago
4 0

Answer:

The answer is 27

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Mr. Timmons wanted to fence in his rectangular back yard so that his son could play soccer. He bought 180 feet of fencing, which
elixir [45]

Answer:

The length of the yard is 60 feet while the width is 30 feet.

Step-by-step explanation:

If the length of Mr. Timmon's backyard is double the width, then the dimensions are related by the following expression:

length = 2*width

We also know the perimetter, since he has the exact length of fence to surround his whole yard, which is 180 feet. The perimeter of a rectangle is given by:

perimeter = 2*length + 2*width

Therefore,

180 = 2*length + 2*width

With the length being double the width, we have:

180 = 2*(2*width) + 2*width

180 = 4*width + 2*width

6*width = 180

width = 180/6 = 30

length = 2*width = 2*30 = 60

The length of the yard is 60 feet while the width is 30 feet.

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3 years ago
10 kids are randomly grouped into an A team with five kids and a B team with five kids. Each grouping is equally likely. (a) Wha
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Answer:

I think B is 1/5. I think C is 1/2.

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3 years ago
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Is 3/5 greater then 3/6
Tcecarenko [31]
Yes, for 3/5= 18/30 and 3/6= 15/30
4 0
3 years ago
Help! Pls I’m struggling
QveST [7]

Answer:

the x^2 column would have a "22" between the 4 & 5

Step-by-step explanation:

x x^2

0 0

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6 0
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Given the line a and b are parallel angles 1 and5 are congruent because they are
kakasveta [241]

Answer:

Step-by-step explanation:

When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles.

figure51

Vertical angles are always congruent, which means that they are equal.

Adjacent angles are angles that come out of the same vertex. Adjacent angles share a common ray and do not overlap.

figure52

The size of the angle xzy in the picture above is the sum of the angles A and B.

Two angles are said to be complementary when the sum of the two angles is 90°.

figure53

Two angles are said to be supplementary when the sum of the two angles is 180°.

figure54

If we have two parallel lines and have a third line that crosses them as in the ficture below - the crossing line is called a transversal

When a transversal intersects with two parallel lines eight angles are produced.

figure55

The eight angles will together form four pairs of corresponding angles. Angles 1 and 5 constitutes one of the pairs. Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6.

Angles that are in the area between the parallel lines like angle 2 and 8 above are called interior angles whereas the angles that are on the outside of the two parallel lines like 1 and 6 are called exterior angles.

Angles that are on the opposite sides of the transversal are called alternate angles e.g. 1 + 8.

All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent.

Example

figure56

The picture above shows two parallel lines with a transversal. The angle 6 is 65°. Is there any other angle that also measures 65°?

6 and 8 are vertical angles and are thus congruent which means angle 8 is also 65°.

6 and 2 are corresponding angles and are thus congruent which means angle 2 is 65°.

6 and 4 are alternate exterior angles and thus congruent which means angle 4 is 65°.

4 0
3 years ago
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