Answer:
The value of x is
.
Step-by-step explanation:
Please look at the figure attached to get more clear solution.
We have given:
FG||CB
And the line that cut the parallel line is transversal so, here BA is transversal
And alternate interior angles on transverse line are equal
So, ∠1=∠4
And ∠4=
Hence, ∠1=∠4=
And On FG the sum of angles will be 
∠3+∠2+∠1=
+∠2+
=
Hence, ∠2=
Now, we know that the sum of interior angles is equal to the exterior angle:
Therefore, ∠2+∠5=∠6+∠7

On simplification we get:


Hence, the value of x is
.
Just find the slope between the points
basically find (f(10)-f(7))/(10-7)
f(7)=7^2-3(7)-4=49-21-4=24
f(10)=10^2-3(10)-4=100-30-4=66
slope=(66-24)/(10-7)=42/3=14
average rate of change is 14
Answer:
Subtract 20 from both sides.
24−20=9/g
2 Simplify 24-20 to 4
4=9/g
3 Multiply both sides by 9
4×9=g
4 Simplify 4×9 to 36
36=g
5 Switch sides.
g=36
Step-by-step explanation:hope it helps plz Mark me brainliest
Answer:
Step-by-step explanation:
We want to study the fuel consumption of each car, i.e the amount of mile per gallon the cars will consume
Step one:
given data:
First car
distance covered= 41 1/2 = 41.5miles
amount of gallons= 1 1/4= 1.25gal
the miles per gallons= 41.5/1.25=33.2 miles per gallon
Second car
distance covered= 21 3/5= 21.6miles
amount of gallons=4/5= 0.8gal
the miles per gallons= 21.6/0.8=27 miles per gallon
1. Therefore the unit rate of
the first car = 33.2 miles per gallon
the second car=27 miles per gallon
2. the first car can travel a greater distance on 1 gallon of gasoline
Answer:
I don't have the graph, but I'll explain what you need to do. Plot a point with the coordinates (1,3.5), (2,7), (3,10.5), and (4,14). Now draw a straight line connecting al these pints but don't go past the origin into the negative as in this situation it is not possible. There! Now you have a graph :)