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liberstina [14]
3 years ago
13

Please help this is the last problem on my homework and I don’t understand how to do it

Mathematics
2 answers:
malfutka [58]3 years ago
6 0
When the lines are parallel and angles are given, and since a straight line is 180°, the 2 angles of the line intersecting the parallel lines have to add up to be 180. Therefore,
21. 31°
22. 96°
23. 149°
24. 84°
25. 53°
4vir4ik [10]3 years ago
4 0

Answer:

21. m<2 = 31 degree

22. m<11 = 96 degrees

23. m<5 = 127 degree

24. m<12 = 84 degree

25. m<6 = 53 degree

Step-by-step explanation:

21 explain) m<8 = m<1 = 149 degree b/c Alternate angle rule

                  m<1 + m<2 = 180 b/c straight line is 180 degrees

                  m<2 = 180 - m<1

                  <u><em>m<2 = 180 - 149 = 31 degrees</em></u>

<u><em></em></u>

25 explain) m<3 = <u><em>m<6 = 53</em></u> degree b/c Alternate angle rule

22. explain) m<7 = m<8 - 180 b/c straight line is 180 degrees

                    m<7 = 180-149 = 31

                    m<11 = 180 - m<7 - m<6

                    <u><em>m<11 = 180 -31 -53 = 96 degrees</em></u>

<u><em></em></u>

24. explain) 180 = m<11 + m<12 b/c straight line is 180 degrees

                    180 - m<11 = m<12

                     180 - 96 = m<12

                     <u><em> 84 = m<12</em></u>

<u><em></em></u>

25. explain) m<3 = m<6 = 53 degree b/c Alternate angle rule

                   180 = m<5 + m<6 b/c straight line is 180 degrees

                      180 - m<6 = m<5

                     180 - 53 = m<5

                      <u><em>127 = m<5</em></u>

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Stephen &amp; Richard share a lottery win of £2950 in the ratio 2 : 3. Stephen then shares his part between himself, his wife &a
horsena [70]

Answer:

Stephen's wife got £354 more than his son.

Step-by-step explanation:

Given:

Amount of Lottery = £2950

Now Given:

Stephen & Richard share a lottery amount in the ratio 2 : 3

Let the common factor between them be 'x'.

So we can say that;

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Dividing both side by 5 we get;

\frac{5x}{5}=\frac{2950}{5}\\\\x = 590

So we can say that;

Stephen share would be = 2x =2\times 590 = \£1180

Now Given:

Stephen then shares his part between himself, his wife & their son in the ratio 3 : 5 : 2.

Let the common factor between them be 'y'.

So we can say that;

3y+5y+2y=1180\\\\10y=1180

Dividing both side by 10 we get;

\frac{10y}{10}=\frac{1180}{10}\\\\y=118

So Stephen's wife share = 5y = 5\times 118= \£590

And Stephen's son share = 2y=2\times118 =\£236

Now we need to find how much more her wife got then her son.

To find how much more her wife got than her son we will subtract Stephen's son share from Stephen's wife share.

framing in equation form we get;

Amount more her wife got than her son = 590-236 = \£354

Hence Stephen's wife got £354 more than his son.

3 0
3 years ago
The science club at Jersey High School is sponsoring a dance to raise money for their spring project. They will charge $4 per st
Dennis_Churaev [7]

Answer: 195

Step-by-step explanation:

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T = 4n - 140

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That means at least 195 students must attend if the science club is to earn at least $ 640

6 0
2 years ago
If the width of a rectangle is x + 2 and the length is twice as long, what is the area?
lawyer [7]
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4 0
3 years ago
The front of the stage, side C , is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the
vovangra [49]

Answer: yes, because any triangle with the ratio of whole number 3:4:5 is a right triangle

Step-by-step explanation:

8 0
3 years ago
How many solutions does the system have? x+2y=2 2x+4y=−8 ​
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Answer:

Step-by-step explanation:

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3 0
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