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
The answer is x=-3
5-x=11+x
-11 -11 First subtract 11
-6-x=x
+x +x Now add x to both sides
-6=2x
~2 ~2 Finally divide by 2
-3=x Your answer is x=-3
Given:
The parking space shown at the right has an area of 209 ft².
A custom truck has rectangular dimensions of 13.5 ft by 8.5 ft.
To find:
Whether the truck fit in the parking space or not?
Solution:
If the area of the truck is more than the area of the parking space, then the truck cannot fit in the parking space otherwise it will fit in the parking space.
The area of a rectangle is:
Area of the rectangular truck is:
The area of the truck is 114.75 ft² which is less than the area of the parking space, 209 ft².
Therefore, the truck can fit in the parking space because the area of the truck is less than the area of the parking space.
