Zach, Emily, David, and Jennifer were finished with lunch and began playing with drink straws. Each one was making a line design using either 3 or 4 straws. They had just come from math
class where they had been studying special angles. Zach pulled his pencil out of his book bag
and labeled some of the angles and lines. He then challenged himself and the others to find all
the labeled angle measurements in Zach and David's straw designs and to determine whether
the lines that appear to be parallel really are parallel.

98 points djdjsi zisksis sjsjsi sisksj sksjdj sksks sjsisj

x/3-10=8

x/3=18

x=48

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is