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Shkiper50 [21]
3 years ago
5

Please help me fast! I will give brainliest, if you show your work, and it is the right answer.

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
5 0

You are given trapezoid WXYZ with two parallel sides WZ || XY.

Consider all options:

1. Line WZ has the same slope as line XY. This option is true, because parallel lines have the same slope.

2. Line YX has a greater slope than line ZY. Note that line XY has negative slope and line ZY has positive slope. Then the slope of line ZY is greater than the slope of line YX. This option is false.

3. Line XW has a lesser slope than line YZ. Both lines XW and YZ have positive slopes and line YZ is going up faster than line XW. This means that its slope is greater. Thus, this option is correct.

4. Line ZW has the same y-intercept as line WZ. Note that lines ZW and WZ are exactly the same line, therefore, the y-intercept is the same. This option is true.

5. Line XY has a greater y-intercept than line XW. Line XY has y-intercept at y=3 and line WX has its y-intercept somewhere about y=2. Then this option is true.

Answer: correct options are 1, 3, 4 and 5.


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3 John can clean pools at a constant rate of What is the ratio of pools to hours? pools per hour.​
timama [110]
The answer to the thing is 3 pools per each hour
5 0
2 years ago
You have a choice between 2 jobs, one pays $8.25/hr but requires you to spend $20 to get a uniform. The other pays $7.50/hr. At
Veronika [31]

Step-by-step explanation + Answer:

x = 1st job

y = 2nd job

x + y = 22......x = 22 - y

7x + 8.25y = 171.50

7(22 - y ) + 8.25y = 171.50

154 - 7y + 8.25y = 171.50

-7y + 8.25y = 171.50 - 154

1.25y = 17.50

y = 17.50 / 1.25

y = 14 <== 14 hrs at the 8.25 per hr job

x + y = 22

x + 14 = 22

x = 22 - 14

x = 8 <=== 8 hrs at the 7 per hr job

5 0
2 years ago
A regular m-gon has 3 times as many sides as a regular k-gon.
Novosadov [1.4K]

9514 1404 393

Answer:

  • k = 10
  • m = 30

Step-by-step explanation:

The interior angle of the m-gon is ...

  m-interior = 180 -360/m

The exterior angle of the k-gon is ...

  k-exterior = 360/k

The required relationships are ...

  m = 3k

  m-interior = 14/3(k-exterior)

Substituting for m, we can write the latter relation as ...

  (180 -360/(3k)) = 14/3(360/k)

Multiplying by 3k/180, we have ...

  3k -2 = 28

  k = (28 +2)/3 = 10

The values of k and m are 10 and 30, respectively.

_____

<em>Check</em>

The interior angle of the m-gon is 180 -360/30 = 168 degrees.

The exterior angle of the k-gon is 360/10 = 36 degrees.

The angle ratio is 168/36 = 14/3 as required.

3 0
3 years ago
Need help on 26!!!!!!!
Harrizon [31]
A) 26 + 18 = D 

Where D = Dad's age.

B) No it isn't. You solve the above equation and it equals 44.


C) The first age comparison is 26 years apart, both going up by 8 each time, so by adding 8 to 36, it equals 44, which isn't 42.
7 0
4 years ago
Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question. Listed below
vazorg [7]

Answer:

Mean= 242.5 pounds

Median= 236 pounds

Mode= 208 and 278 pounds

Range=117 pounds

Mid-range= 58.5 pounds

B. The results are likely to be representative because a championship team is most likely representative of the entire league.

Step-by-step explanation:

278 303 186 292  276 205 208 236 278 198 208

Arranged in ascending order is

186 198 205 208 208 236 276 278 278 292 303

Mean = (186 +198+ 205+ 208 +208 +236 + 276+ 278 +278+ 292 +303)/11

Mean =2668/11

Mean= 242.5 pounds

Median = the middle number

Median= 236 pounds

Mode = highest occuring number(s)

Mode= 208 and 278 pounds

Range= highest number- smallest number

Range=303-186

Range=117 pounds

Mid-range= range/2

Mid-range= 117/2

Mid-range= 58.5 pounds

4 0
3 years ago
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