35.
6x=4x+16 (they are vertical angles
2x=16
x=8
4(8)+16+11y=180 (they form a straight angle together)
32+16+11y=180
48+11y=180
11y=132
y=12
36.
7x=56 (vertical angles are equivalent)
x=8
56+y+2(8)=180 (these three angles form a straight angle)
56+y+16=180
72+y=180
y=108
Hope this helps!
Answer:
no she wont. because the total cost of the skateboard will be 127.31
Step-by-step explanation:
The answer to a "sum and difference" problem is that the larger number is the average of those given: (43 +15)/2 = 29.
The smaller number can be computed any of several ways, but subtracting the difference works: 29 -15 = 14
The larger number is 29.
The smaller number is 14.
_____
You can let the numbers be a and b, and let the sum and difference be s and d. Then you have
.. a + b = s
.. a - b = d
Add these two equations, and you find "b" is eliminated:
.. 2a = s + d
.. a = (s + d)/2 . . . . . . the average of the sum and difference
.. b = a - d . . . . . . . . . from the second equation
This solution is generic. Even if you have to "show work" on such a problem, you can use this known result to check your work.
Answer:
Step-by-step explanation:
a. 9(4x - 3y - 
)
36x - 27y - (
* )
36x - 27y - 
36x - 27y - 6
b. -2 (-6x + 3y - 1)
12x - 6y + 2
c. 
(20y - 4x - 13)
4y - 
x - 
- x + 4y -
d. 8(-x - 
)
-8x - 4
e. -8(-x - 
y + 
)
8x + 
y - 
8x + 6y - 28
Hope that helps!
Answer:
A polygon is a plane figure.
Step-by-step explanation:
This means it is a 2 dimensional shape that lies flat, it has length and width, it has area but no thickness.
There is no max number of sides, so the first answer is not right.
In math, saying it is solid means its 3-d, so that is not right (it's only 2-d)
Saying its open, means that somewhere on the shape, the sides don't meet up at a corner, like an animal corral with the gate left open. So that's not right. Part of the definition of a polygon is that it is closed.
It is a 2-d shape with straight sides and closed, it lies flat in a plane. The last answer is correct.
