Answer:
The statements that must be true are:
XY and JK form four right angles ⇒ B
XY ⊥ JK ⇒ C
JP = KP ⇒ E
m∠JPX = 90° ⇒ F
Step-by-step explanation:
From the given figure
∵ Line XY is the perpendicular bisector of the line segment JK
→ That means line XY is the line of symmetry of the line segment JK
∴ XY ⊥ JK ⇒ C
∵ XY ∩ JK at point P
∴ P is the midpoint of JK
∵ XY ⊥ JK
∴ ∠JPX, ∠KPX, ∠JPY, and ∠KPY are right angles
∴ XY and JK form four right angles ⇒ B
∵ The measure of the right angle is 90°
∴ m∠JPX = m∠KPX = m∠JPY = m∠KPY = 90°
∴ m∠JPX = 90° ⇒ F
∵ P is the midpoint of JK
∴ JP = KP ⇒ E
Which expression has a value that is equivalent to 5n+13 when n=-15? n^2+13x
x ,y are the numbers
x = 5y-3
x+y = 27
substitute first equation into the second
(5y-3) +y =27
combine like terms
6y-3=27
add 3 to each side
6y=30
divide by 6
y=5
x = 5y-3
x=5*5-3
x=22
the two numbers are 22 and 5
Answer:
$13540
Step-by-step explanation:
Divide 100 from $59000 in which you get 1% of that worth. If he gets 6% of that commission rate then he would get $3540 since 1% is $590 and you multiply by 6 to get that number. Since he makes $10000 a month as stated, you would then add the amount $3540 for his salary to get $13540.