Answer: 
Step-by-step explanation:
The area of a rectangle can be calculated with this formula:
Where "l" is the length and "w" is the width.
You can identify from the figure that the length and the width of this rectangle are:
Then, you need to substitute this lenght and this width into :
Now, apply Distributive property:
Finally, you need to add the like terms. Then, you get:
Answer:
A- b: the y value when y changes; the point where a line crosses the v-axis
B- m: What happens to y when x is one; the ratio of the y change to the x change
C- k: The y value when x is zero b x increases by one
Step-by-step explanation:
If this is about slope intercept form as i think it is
C sounds a little bonkers in this case though because when y is zero then x increases by one
Answer:
41/28
Step-by-step explanation:
mixed form is 13/28*1
follow me please.
Answer:
m∠1= 80
m∠2= 100
m∠3= 80
Step-by-step explanation:
Given: m∠1= 2x +40
m∠2= 2y +40
m∠3= x +2y
m∠1 +m∠2= 180 (adj. ∠s on a str. line)
2x +40 +2y +40= 180
2x +2y+ 80= 180
2x +2y= 180 -80
2x +2y= 100
2(x +y)= 100
x +y= 100 ÷2
x +y= 50 -----(1)
m∠1= m∠3 (vert. opp. ∠s)
2x +40= x +2y
2x -x +40= 2y
x= 2y -40 -----(2)
Substitute equation (2) into (1):
2y -40 +y= 50
3y= 50 +40
3y= 90
y= 90 ÷3
y= 30
Substitute y= 30 into equation (2):
x= 2(30) -40
x= 60 -40
x= 20
m∠1
= 2x +40
= 2(20) +40
= 40 +40
= 80
m∠2
= 2y +40
= 2(30) +40
= 60 +40
= 100
m∠3
= x +2y
= 20 +2(30)
= 20 +60
= 80
Alternatively, since m∠1= m∠3,
m∠3
= m∠1 (vert. opp. ∠s)
= 80
Answer:
x = 6
Step-by-step explanation:
Using this theorem to get the other angles of the triangle.
Angle at the vertex is equal to half of the angle at the intercepted arc
For the arc with angle 170degrees
Angle at the vertex = 1/2 * 170
Angle at the vertex = 85 degrees
For the arc with angle 90degrees
Angle at the vertex = 1/2 * 90
Angle at the vertex = 45 degrees
Taking the sum of the 3 angles and equating to 180
85 + 45 + 12x - 22 = 180
130-22+12x = 180
12x = 180 - 108
12x = 72
x = 72/12
x = 6
Hence the value of x is 6
