Answer: 
Step-by-step explanation:
Given
Working hours are 
for 8 days
Money earned is $11.50 an hour
Total working hours
Money earned
After-tax deduction
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
M + b = 67
b = 4m - 8
m + 4m - 8 = 67
5m - 8 = 67
5m = 67 + 8
5m = 75
m = 75/5
m = 15 <=== Maggie's age
b = 4m - 8
b = 4(15) - 8
b = 60 - 8
b = 52.....her brother is 52
Answer:
Step-by-step explanation:
1). x² - 10x + a²
By using the formula of (a - b)² = a² - 2ab + b²
x² - 2(5)x + a²
Therefore, for a perfect square of the expression a should be equal to 5.
Therefore, (x² - 10x + 25) will be the answer.
2). x² + 2ax + 36
= x² + 2(a)x + 6²
For a perfect square of the given expression value of a should be 6.
x² + 2(a)x + 6² = x² + 2(6)x + 6²
= (x + 6)²
Therefore, x² + 12x + 36 will be the answer.
3). 
To make this expression a perfect square,
a² = 
= 
Therefore, the missing number will be 
.
