Question

Needing some help, been working on this for a while now.

Answer 1

Explanation:

1. To find the value of x, you'll need to set 14x-94 equal to 8x-4. We do this since the two angels are congruent, and congruent angles are equal to each other:

`14x-94=8x-4`

You'll then solve for x by isolating the x value.

`14x-8x=94-4`

`6x=90`

`x=(90)/(6)`

`x=15`

2. To find z I would plug in the x value to one of the equations, such as 8x-4, in order to find the measure of that angle:

`8(15)-4\\=116`

We now know that 14x-94 and 8x-4 are equal to 116. To find z you'll add the angle opposite to it, the blank angle since they are congruent. Now you'll add all the angles together and set the equation equal to 360:

`z+z+116+116=360\\2z+232=360\\2z=(360-232)\\2z=128\\(2z)/(2) =(128)/(2) \\z=64`

Your final answers are x=15 and z=64, hope this helps!

Answer 2

x = 15

z = 64

Explanation:

Lets make an equation -

(14x - 94) + z = 8x - 4 +z

Both sides are parallel to each other, and therefore the sum is also 180.

Then we solve it -

14x - 8x - 94 + z = -4 + z

Bring the z on the other side to eliminate it.

6x - 94 = - 4

Add 94 on both sides

6x = 90

Divide 6 on both sides and you get x = 15

Substitute x into 8x -4 + z = 180

8*15 - 4 + z = 180

120 - 4 + z = 180

116 + z = 180

Subtract 116 on both sides.

z = 64.

HOPE THIS HELPS!!

CAN U PLSSS HELP ME! I have been stuck on this problem for hours! Pls try to see if u can solve it. This is the problem -

Sean and Emily love making origami. Sean can make a paper crane in 6 minutes, and

Emily can make a paper crane in 8 minutes. One day, they decided to make some paper

cranes together. They started making cranes at the same time, and after a while, they

have 112 total paper cranes. How many of those paper cranes did Sean make?

THANKS A LOT!!