Answer:
Prove: ΔPYJ ≅ ΔPXK
Step-by-step explanation:
Overlapping triangles are said to be triangles that share at least part of a side or an angle.
To prove ΔPYJ is congruent to ΔPXK
First we would draw the diagram obtained from the given information.
Find attached the diagram.
Given:
JP = KP
PX = PY
From the diagram, ΔPYJ and ΔPXK share the line KJ (part of the side of each of the triangle)
KJ ≅ KJ (A reflexive property - the segment is congruent to itself)
In ∆PYJ
JP = KP + KJ
In ∆PXK
KP = JP + KJ
Since JP = KP
KP + KJ = JP + KJ
PJ ≅ PK
The overlapping section makes a smaller triangle KXJ
∠K = ∠J (opposite angles of congruent sides are equal)
In ∆PYJ: PY + YJ + PJ (sum of angles in a triangle)
In ∆PXK: PX + XK + PK (sum of angles in a triangle)
If ΔPYJ ≅ ΔPXK
PY + YJ + PJ = PX + XK + PK
XK ≅ YJ
Therefore, ΔPYJ ≅ ΔPXK
Answer:
x= 4.3125
Step-by-step explanation:
2^2 = 16x - 65
4= 16x- 65
+65 +65
69 = 16x
69/16 =16x/16
4.3125 = x
Answer:
28 cents.
Step-by-step explanation:
There are 4 cups in 1 quart. So, 4 quarts is 16 cups.
If 4 quarts costs $4.48, to find the price per cup, you need to divide $4.48 by 16.
4.48 ÷ 16 = 0.28
This means each cup is 28 cents.
I hope this helps! :)
1. D. The triangles have two given sides with an included angle, so the postulate would be SAS.
2. A. The triangles have three given sides, so the postulate would be SSS.
