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:
The population decrease by 17%.
Step-by-step explanation:
This is because 66,400 is 83% of 80,000.
100%-83%= 17%
Therefore, the percentage of the population that decreased was 17%
If you are trying to ask what the perimeter is for a hexagon that has 3m sides your answer would be 18m
Answer:
110.28
Step-by-step explanation:
First: 100 - 44.86 = 55.14
Second: 55.14/.50 = 110.28
Last: The most you can travel is 110.28 miles per day!
Please mark Branilest!
Answer:
4/9 or 0.4
Step-by-step explanation:
