Question

Joshua used two wood beams, PC and QA, to support the roof of a model house. The beams intersect each other to form two similar triangles QRP and ARC as shown in the figure below. The length of segment PR is 4.8 inches and the length of segment CR is 7.2 inches. The distance between A and C is 9.6 inches.
What is the distance between the endpoints of the beams P and Q?

7.2 inches

3.6 inches

6.4 inches

12.0 inches

Answer 1

two similar triangles QRP and ARC

setup a proportion

Answer 2

you need to find PQ

Answer 3

i have to set up a proportion ?? @ganeshie8

Answer 4

yes set up a proportion, involving known sides

Answer 5

\(\frac{PR}{RC} = \frac{PQ}{AC}\)

Answer 6

\(\frac{4.8}{7.2} = \frac{PQ}{9.6}\)

Answer 7

cross multiply, solve PQ

Answer 8

lol im trying to do it too

Answer 9

your just faster

Answer 10

good :) check ur proportion with mine... you got the same hah

Answer 11

6.4 is what i got once i divided

Answer 12

thats right !

Answer 13

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 pharmacy?

1.5 miles

2.0 miles

4.5 miles

3.0 miles

Answer 14

@ganeshie8 this is one of the hardest questions i've received :/

Answer 15

just a proportion

Answer 16

\(\large \frac{3}{4.5} = \frac{x}{3}\)

Answer 17

ok lol hold on

Answer 18

cross multiply, and u can solve x

but, did u get how the proportion was set up ?

Answer 19

the parallel similarity?

Answer 20

yes !

Answer 21

haha yes! thanks dude

Answer 22

using that, triangles are similar
since triangles are similar, u can setup a proprotion

Answer 23

to setup a proportion, u need to knw how to set it up :)

Answer 24

once i set up the proportion everything comes easy

Answer 25

2.0 miles though is was i got :)

Answer 26

that u will get, when u lay back and see calmly wat are corresponding sides... lol as u do more of these, u wil understand these betwwe im sure :)

Answer 27

*better

Answer 28

yes 2 miles is correct !

Answer 29

i got another problem that i already solved and is an easy problem but just wanna see if i got it right so i get the points lol. I got 3 for my final answer

Answer 30

yea shoot

Answer 31

The figure below shows two congruent triangular parks with Angle ABC congruent to angle DEF..
What is the value of x?

11 m

13 m

9 m

3 m

Answer 32

when two triangles are congruent,
all sides between them are equal

Answer 33

AC = DF
2x-4 = x+5

solve x

Answer 34

3

Answer 35

??

Answer 36

careful

2x-4 = x+5

subtract x both sides

2x-4 = x+5
-x -x

x-4 = 5

Answer 37

oh

Answer 38

yes !

Answer 39

x=9

Answer 40

Yes !

Answer 41

For my homework i had 40 questions and only need help on a few more because im almost finished, let me see if i need help on a hard one

Answer 42

sounds good :)

Answer 43

im gonna solve the easy ones right now lol

Answer 44

so hold on

Answer 45

good luck !