## janessia 3 years ago Can anyone help with this? There is a Picture Attached

1. janessia

2. janessia

@helder_edwin

3. janessia

@Hero @jazy

4. janessia

@JakeV8

5. janessia

here are the answer choices Choose one answer. a. 7.5 b. 22.5 c. 15 d. Cannot be determined

6. JakeV8

what is the actual question?

7. helder_edwin

what r we supposed to do?

8. janessia

oh im sorry hold on

9. janessia

From the information given in the figure, what is AC?

10. helder_edwin

11. janessia

just wats in the picture

12. helder_edwin

is there a relation between the two lower triangle? in particular, is there a relation between 2x+3.5 and 3x+1.5?

13. JakeV8

It doesn't look like AC depends at all on the bottom half of the triangle...

14. Chocolatechocolatechip

Prove PAC and BAP are congruent triangles. Then you can figure out what AC is.

15. janessia

I don't know how to do those things its my first time learning this on online school i need steps

16. janessia

they have 2 sides that are congruent right?

17. JakeV8

yes, BP is congruent to CP, and the vertical side AP is congruent with itself

18. Chocolatechocolatechip

Ah okay. So side BP and PC are congruent because it is given by the marks. and angle BPA and CPA are right angles therefore they are also congruent . AP is congruent to AP because of the reflexsive property. Therefore triangle APB is congruent to triangle APC. Therefore AB is congruent to AC. AC= 15

19. JakeV8

yes, @Chocolatechocolatechip is correct. You don't actually have to prove it for this triangle, but that reasoning is correct. AC corresponds to AB, and since the 2 triangles are congruent, AC must be congruent to AB, so AC = 15.

20. janessia

omgeee u broke tht down so well and i completely understand it!! thanks so much!

21. janessia

@Chocolatechocolatechip what do I do to find DB? do i put the 2 equations equal to each other?

22. Chocolatechocolatechip

Do the same thing, prove the two smaller triangles are congruent. They are congruent by Side-angle-side. Therefore the sides BD and CD are equal. Therefore 2x + 3.5 = 3x + 1.5. find x and then input x back into the equation to find BD

23. janessia

ohk i will let u kno what i get

24. Chocolatechocolatechip

okay. =)

25. janessia

i got 2 @Chocolatechocolatechip

26. Chocolatechocolatechip

x= 2. Then put 2 into the equation. so it would be 2(2) + 3.5