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
Quadrant 4 is the correct answer, and it's the only
Answer:
-11 and -10
Step-by-step explanation:
-11² = -121
-(√119)² = -119
-10² = -100
_____
-√119 is between -11 and -10
The decreased population of a city from 25,000 to 24,500. Hence, the percentage decreased is 2%.
Answer: 793 mi/h
Step-by-step explanation:
We have the following data:
is Earth radius at the 40th parallel of north latitude
is the Earth's angular velocity (toward the east)
is the Jet's angular velocity (toward due west)
And we need to find the Jet's speed 
, which is calculated by:
