Answer:
x= 60°, y = 80°, z = 40°
Step-by-step explanation:
Look at the line substending 40° and Z°; you would see that both lines are parallel and so their angles are they the same.
Hence z= 40° { corresponding angles of parallel lines}
Similarly;
Look at the line substending 60° and x°; you would see that both lines are parallel and so their angles are they the same.
60° = x° { corresponding angles of parallel lines}
Now looking at the angle between x and y; let's call the angle between them r
And you would observe closely that r = z° = 40°{ vertically opposite angles are equal}
Note that x + r + y = 180°{ angle on a straight line}
y = 180° - ( x + r)
y = 180 - (60+40)
y = 180° - 100°
= 80°
Answer:
In the first step, there is an issue when distributing the -3 to the terms inside of the parentheses. When multiplying the -3 to the -5, you would get an answer of +15, not -15.
The full correct process is:
(4m + 9) - 3(2m - 5) = 4m + 9 - 6m + 15
= 4m - 6m + 9 + 15
= -2m + 24
Hello!
First, let's write the problem.

Apply the distributive property on the left side of the equation.

Add like terms.

Let's plug that in into the original equation.

Add 4 to both sides.


Divide both sides by 5.

Our final answer would be,

You can feel free to let me know if you have any questions regarding this!
Thanks!
- TetraFish
Answer:
1. x = 21
2. x = 19
Step-by-step explanation:
Since the interior angles of all quadrilaterals add up to 360, all we have to do is add them up and set them equal to 360. Combine like terms and we get
7x + 213 = 360
Which further turns to 7x = 147
So x = 21
For the second problem, it's the same thing
By the end we get 2x + 8 = 46
2x = 38
x = 19
Hope this helps
Answer:
Part 1 = $1.32
Step-by-step explanation:
.72 divided by 6 is 12. So they make 12 cents per ticket, so that means you would have to do 12 times 11 and that should get you 132 cents and that is equivalent to $1.32.