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:
20x
Step-by-step explanation:
Simplify the equation 80(1/4x)
Distribute the 80 to get 20x.
Ok so find 20% off and see if less tha 75
percent means parts out of 100
20% means 20/100=1/5
'of' means multiply
20% of 80=1/5 times 80=16
off means subtract
disctoun tof 16 is 80-16=64
64<75
how much left over
75-spent=left over
75-64=11
anwwer is $11 left over and enough money to buy
Answer:
The length of the three sides 
The triangle <u>is not</u> a right triangle
Step-by-step explanation:
A = (3, 2) , B = ( 6, 9) , C = (10, 6)
Find the lengths using distance formula.
Using Pythagoras theorem :
Longest side is AC . So we will check if it satisfies Pythagoras theorem :
65 ≠ 58 + 25
So the sides does not satisfy Pythagoras theorem. Hence the triangle is not a right triangle.
If you divide the wages by the number of hours you always get $56.25 so he gets $56.25 per hour.
