Question

please help checking my answer...
The figure shows five locations in a city. The road which connects the playground and the pharmacy is parallel to the road which connects the school with the ice-cream shop, as shown.
What is the distance between the town hall and the ice cream shop?
A.3.0 miles
B.4.0 miles
C. 2 miles
D. 2.5 miles
I think its D....

Answer 1

for this one you are gonna have to do it like similar triangles do you know how to do that yet

Answer 2

yes something to do with ratios right?

Answer 3

yes so what is the ratio between the two hypotenuses then

Answer 4

2:4 or 2:6? I only see one hypotenuse?

Answer 5

Town hall to playground is one hyp. The other is Town hall to school. can you write the ratio in fraction form?

Answer 6

yes, 4/6.... I think

Answer 7

correct however i would put it as 6/4 or 3/2 because it will make it easier later on. I will tell you why.

Answer 8

Let the distance between the town hall and ice cream be represented as x. ok

Answer 9

ok :D

Answer 10

now find the ratio of the distance between the town hall and pharmacy and the town hall and ice cream shop.

Answer 11

ok, 2/x or x/2

Answer 12

make it x/2

Answer 13

now set the ratios equal to each other. and solve for x. Your x will be the distance between the town hall and ice cream shop. Tell me what you get
\[\frac{ 3 mi }{ 2 mi }=\frac{ x }{ 2mi }\]

Answer 14

I got 3 miles, 3x2=6, 6/2=3

Answer 15

Perfect!!!!

Answer 16

yay! thank you so much!

Answer 17

so your answer from your options is A!!

Answer 18

no problem