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vampirchik [111]
3 years ago
12

I need to solve for x.

Mathematics
2 answers:
Tanya [424]3 years ago
8 0
9+4x+11x+8=107
  17+15x=107
 -17      -17
x15=90
‾‾‾‾‾  ‾‾‾‾
x15  x15

     x=6
trapecia [35]3 years ago
3 0
We need to use the exterior angle theorem...
the nonadjacent angles of 107 degrees will equal to 107 degrees. 

9 + 4x + 11x + 8 = 107
17 + 15x = 107
15x = 90
x = 6

Check...
measure of angle KUT = 9 + 4x = 9 + 4(6) = 33 degrees 
measure of angle STU = 11x + 8 = 11(6) + 8 = 66 + 8 = 74 degrees 
measure of angle UST = 180 - 107 = 73 degrees 
33 + 74 + 73 = 180 degrees (sum of interior angles of triangle equals to 180)

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The equation shows the relationship between x and y:
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4 years ago
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The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper wil
Mandarinka [93]

slope intercept form is y=mx+b

So slope intercept form is The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper will last about 80 days

(A) Lets make a table

X axis represents the Number of days paper used

y axis represents the packs of printer paper used

x            y

days      packs of printer paper used

0            0               (0 days , 0 packs used)

80          140           (in 80 days , 140 packs paper used)

The graph is attached below

(B) To find Equation of a line we use points (0,0)  and (80,140)

slope = \frac{y_2-y_1}{x_2-x_1} = \frac{140-0}{80-0} = \frac{7}{4}

y intecept is (0,0)

so b= 4

Slope intercept form of a line i y=mx + b

m is the slope and b is the y intercept

So slope intercept form of line becomes

y= \frac{7}{4} x

Standard form is Ax + By =C

y= \frac{7}{4} x

Multiply both sides by 4

4y = 7x

Now subtract 7x on both sides

-7x + 4y =0 is the standard form

(c) To find packs of printer paper  the manager expect to have after 30 days, Plug in 30 for x  and find out y

y= \frac{7}{4} x

y= \frac{7}{4}(30)= 52.5

Total 140 packs of printer paper

52.5 packs of paper used

Packs of paper remaining after 30 days = 140- 52.5= 87.5


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Please give brainliest if this answer satisfies your question.

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