<h3>
Answer: Angle 1 is 80 degrees</h3>
==========================================================
Explanation:
See the diagram below. I've extended one of the rays to form a full line. This is shown in red. The alternate interior angles 60 and x are congruent due to the parallel lines, so x = 60.
We can then find angle y
x+y+20 = 180 ... angles of a triangle add to 180
60+y+20 = 180
y+80 = 180
y = 180-80
y = 100
Use this to find z
y+z = 180
100+z = 180
z = 180-100
z = 80
Or you could use the remote interior angle theorem
x+20 = z
60+20 = z
80 = z
z = 80
Answer:
9
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Step 1:
3x + 2 ( 5x - 3 ) = 7
Step 2:
3x + 10x - 6 = 7
Step 3:
13x - 6 = 7
Step 4:
13x = 13
Answer:
x = 1
Hope This Helps :)
Answer:
y = 2
- 1
Step-by-step explanation:
y = 2
- 12x + 16
y = 2(
- 6x + 8) ( Factor out 2 )
y + 9= 2(
- 6x + 9) + 8 ( Complete the square
) Add 9 both sides
y + 9 = 2
+ 8 (Subtract 9 each side)
y = 2
- 1 ( simplify )
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> number of tennis balls
y ----> number of tennis rackets
we know that
To find out the ratio of tennis balls to tennis rackets, divide the number of tennis ball by the number of tennis rackets
In this problem we have

see the model in the attached figure N 1
so


This is the equation of a linear direct variation
The relationship between the variables x and y is proportional
see the model in the attached figure N 2