Can anyone help with this? There is a Picture Attached

Question

anonymous · Answer

attachment

anonymous · Answer

@helder_edwin

anonymous · Answer

@Hero @jazy

anonymous · Answer

@JakeV8

anonymous · Answer

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

anonymous · Answer

what is the actual question?

helder_edwin · Answer

what r we supposed to do?

anonymous · Answer

oh im sorry hold on

anonymous · Answer

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

helder_edwin · Answer

is there more information or just what's on the picture?

anonymous · Answer

just wats in the picture

helder_edwin · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

they have 2 sides that are congruent right?

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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.

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

ohk i will let u kno what i get

anonymous · Answer

okay. =)

anonymous · Answer

i got 2 @Chocolatechocolatechip

anonymous · Answer

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