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
Answer:
Component form : (-7 , 2)
Step-by-step explanation:
P(4 , 5) = P'(4 +x , 5+y) = P'(-3 , 7)
4 + x = -3
x = -3 - 4
x = -7
5 + y = 7
y = 7 - 5
y = 2
Vector form : -7i + 2j
Component form : (-7 , 2)
Answer:
angles in linear pair are 90° hope it helps u ♥♥♥♥♥♥♥
Step-by-step explanation:
Find the diagram to the question attached.
From the diagram, we are given the following dimension for one of the beds;
Length = 16cm
Width = 8cm
If the scale from his drawing to the actual garden is 2 cm for every 1 ft, then on converting to feet;
2cm = 1ft
16cm = x fr
cross multiply
2x = 16
x = 8ft
Hence 16cm = 8ft (based on the scale)
Similarly:
2cm = 1ft
8cm = x fr
cross multiply
2x = 8
x = 4ft
Area of the garden bed (in feet) = Length * Width
Area of the garden bed = 8ft * 4ft
Area of the garden bed = 32ft²
Hence the actual area of one of the garden beds is 32ft². We need to find 2 things fir us to get the required answer. First is the length of the bed in feet and the second is the width of the bed in feet.