Answer: F(-0.5,-0.5)
Step-by-step explanation:
A(3,3) H(-4,-4)
The coordinates of the midpoint of the diagonal AH F(x,y):

Answer: 3/4 or 75%
Step-by-step explanation:
Answer:
∠ EFG = 83°, ∠ GCE = 97°
Step-by-step explanation:
Since FE and FG are tangents to the circle then
∠ FGC and ∠ FEC are right angles
The sum of the angles in quadrilateral CEFG = 360°
Sum the 4 angles and equate to 360
3x + 11 + 90 + 5x - 23 + 90 = 360, that is
8x + 168 = 360 ( subtract 168 from both sides )
8x = 192 ( divide both sides by 8 )
x = 24
Thus
∠ EFG = 3x + 11 = 3(24) + 11 = 72 + 11 = 83°
∠ GCE = 5x - 23 = 5(24) - 23 = 120 - 23 = 97°
Answer:
Step-by-step explanation:
- Let the speed of the boat be x
- Speed against the current in the river is x - 2
<u>Time in the river:</u>
<u>Time in the lake:</u>
<u>The difference:</u>
Solve for x to find the speed of the boat
<u>Multiply both sides by x(x - 2) to clear the fraction:</u>
- 6x = 15(x - 2) - x(x - 2)
- 6x = 15x - 30 - x² + 2x
- x² - 11x + 30 = 0
- (x - 5)(x - 6) =0
- x -5 = 0, x - 6 = 0
- x = 5 km/h, x = 6 km/h
1 cube= 1 unit
1 Rod (Long)= 10 units
10 Rods (Longs)= 1 flat (1 flat=100 units)
10 flat =1 cube(1 cube=1000 units)
83×10= 830
2×10=20
830×20= 16,600
Just wanted to add more to help you understand why 83 is multiplied by ten and 2 is multiplied by 10. Its because when we use Base ten blocks, tens represent 1 Rod (Long)= 10 units. Hope it helps more.