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Kitty [74]
3 years ago
6

HELP

Mathematics
1 answer:
Brut [27]3 years ago
4 0

Answer:

1) m<1 = 25

2) m<4 = 155

3) m< 5 = 25

4) m<7 = 25

5) 110

6) 30.5

7) 74

Step-by-step explanation:

1)

x + 155 = 180

x = 25

2)

<4 = 155 because of vertical angle thm

3)

<5 = 25 (congruent to <1) b/c of corresponding angles thm

4)

<7 = <5 (25) because of vertical angles thm

5)

5x + 15 = 8x - 42

-3x = -57

x = 19

5(x) + 15

5(19) + 15 = 110

6)

180 - 110 = 70

3x + x + 4 + 70 = 180

4x + 74 = 180

4x = 106

x = 26.5

x+ 4 = 30.5

7)

180 - 115 = 65

x + 4 + 2x + 65 = 180

3x + 69 = 180

3x = 111

x = 37

2x = 74

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5. The area of the trapezoid is 75 square inches. Find the height of the trapezoid. And it’s two bases are 10 and 15.
Sphinxa [80]

Answer:

The answer is 6

Step-by-step explanation:

A=½(b1 + b2) h

we substitute

Area=75

the two bases are 10 and 15

75=½(10+15) h

75=½(25)h

75=(1*25/2)h

75= 25h/2

75/1= 25h/2

25h*1= 75*2

25h= 150

we divide by 25

25h/25= 150/25

h=6

4 0
3 years ago
In solving a rate of increase problem,the original value is always the?
PilotLPTM [1.2K]
<span>In solving a rate of increase problem,the original value is always the percent of new value. Hope this answers the question. Have a nice day. Feel free to ask more questions. Thank you.</span>
3 0
3 years ago
Write down 3 integers, all less than 25 whose range is 8 and mean is 13
EleoNora [17]

Answer:

9, 13, 17

Step-by-step explanation:

The difference between the greatest value and the least is 8, the range.

Add the three numbers to total 39, then divide by 3 to get the mean, 13.

6 0
3 years ago
When creating lines of best fit, do you believe that estimation by inspection of the equation is best or do you think it should
Alex73 [517]

Answer:

Estimation by inspection is better than trying to determine the line of best fit exactly

i) For a scatter plot : The use of estimation by inspection

ii) For a straight line graph : The exact determination method

Step-by-step explanation:

To create lines of best fit the estimation by inspection is better than trying to determine the line of best fit exactly .

This is because line of best fit only shows the trend of the data and in most cases it doesn't have to start from origin.

Scenarios :

i) For a scatter plot : The use of estimation by inspection

ii) For a straight line graph : The exact determination method

8 0
3 years ago
Write an equation parallel to the line determined by the points (15, -6) and (-3, 13), through: (4, 2)
gulaghasi [49]

Answer:

The answer is

<h2>y =  -  \frac{19}{18} x +  \frac{76}{2}</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

That's

Slope of the through points

(15, -6) and (-3, 13) is

<h3>m =  \frac{13 -  - 6}{ - 3 - 15}  =  -  \frac{19}{18}</h3>

Since the lines are parallel their slope are also the same

So slope of parallel line = - 19/18

Equation of the line using point (4,2) and slope -19/18 is

<h3>y - 2 =  -  \frac{19}{18} (x - 4) \\ y - 2 =  -  \frac{19}{18}  x +  \frac{38}{9}  \\ y =  -  \frac{19}{18} x +  \frac{38}{9}  + 2</h3>

We have the final answer as

<h3>y =  -  \frac{19}{18} x +  \frac{76}{2}</h3>

Hope this helps you

7 0
3 years ago
Read 2 more answers
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