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bija089 [108]
3 years ago
7

Write the equation of the line, in point-slope form, that passes through the two given points.

Mathematics
1 answer:
raketka [301]3 years ago
6 0

Answer:

y=-1/2x + 3/2

Step-by-step explanation:

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Whats the value of x?
Nutka1998 [239]

Answer:

x = 8 units, measure of angle AFE = 60 degrees, measure of angle CFD = 60 degrees

Step-by-step explanation:

Finding x:

You know all three of the given measures add up to 180 because they are on the same side of the line. Write an equation and solve for x.

6x + 2 + 8x + 6 + 7x + 4 = 180

21x = 168 --> x = 8

Angle AFE:

Substitute the value of x in the given measure.

7x + 4 = 7*8 + 4 = 56 + 4 = 60

Measure of angle CFD:

Angle AFE is it's vertical angle, so their measures (60 degrees) are equal.

7 0
3 years ago
Remy drinks 214 cups of water every 145 hours.
Tcecarenko [31]

Answer:

1  69/145 cups

Step-by-step explanation:

We can use ratio's to solve this problem.  We will put water over time

214 cups           x cups

--------------- = --------------

145 hours        1 hours


Using cross products

214 *1 =145 x

Divide both sides by 125

214/145 = 145x/145

214/145 = x

145 goes into 215 1 time with 69 left over

1 69/145


4 0
3 years ago
Read 2 more answers
A circle has a radius if 20 centimeters and a central angle that measures 118 degrees. Find the length of the arc defined by thu
babymother [125]

\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =118 \end{cases}\implies \begin{array}{llll} s=\cfrac{(118)\pi (20)}{180}\implies s=\cfrac{118\pi }{9} \\\\\\ s\approx 41.19~cm \end{array}

4 0
2 years ago
Simplify 30x-140-(x-4)
balu736 [363]

Answer:

x = 4.7

Step-by-step explanation:

30x - 140 -(x - 4)

Multiply the -1 into (x - 4)

30x - 140 - x + 4

Add/subtract

29x - 136 = 0

      +136

29x = 136

\frac{29x}{29} = \frac{136}{29}

x = 4.689655172413793

8 0
4 years ago
Drag the fraction to the boxes and below to complete the subtraction sentence
Scilla [17]

Answer:

first box is 4/5 and the second box (=) is 7/15

4 0
3 years ago
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