Answer:
∠CBJ ≅ ∠ DHG
∠ FJH ≅ ∠ AJB
m∠JAB=75°
m∠JBC=130°
Step-by-step explanation:
Please refer to the image uploaded with this answer.
Here we are given two parallel line C and D and two transverses to them E and G , there by forming a number of angles. Before answering them we must under stand the characteristics of the angles formed by them and the various properties of them. For that please refer to the image attached,
i) we are asked to find the congruent angle to ∠CBJ has a corresponding angle names as ∠ DHG. And corresponding angles are same so ∠CBJ ≅ ∠ DHG
ii) Also ∠ FJH ≅ ∠ AJB , as they are vertically opposite angles and vertically opposite angles are equal.
iii) m∠EFD =75°
m∠EFD ≅ m∠JAB=75° ( corresponding angles )
iv) m∠GHF=130°
m∠GHF=m∠JBC=130° ( corresponding angles )
Let S = his average speed.
Let D = distance traveled one way
Time = distance / speed
Set up an equation:
d/6 + d/12 = 2d/S
Multiply the equation by 12s:
12s(d/6) + 12s(d/12) = 12s(2d/s)
Simplify to get:
2sd + sd = 24d
Combine like terms:
3sd = 24d
Divide both sides by d:
3s = 24
Divide both sides by 3:
s = 24/3
s = 8
His average speed was 8 mph.
Answer:
B
Step-by-step explanation:
The first choice is true.
The second is not true.
Third is true.
I think the last is true (not sure)
Switch the y and x then solve for y, so I believe b.
In this problem you would set these two equations equal to each other.
$8+ $1.50x = $10+ $1x
After this you would simplify the equation to isolate x (being the number of toppings you put on the pizzas)
$8+ 1.50x =$10+ 1x
-8 -8
----------------------------
$1.50x = $2 + $1x
-1x -1x
---------------------------
$.50x/.50 = $2/.50
_______________
x= 4 toppings and the pizzas would equal $14 total
