Answer:
D
Step-by-step explanation:
Answer: AB is 15
Step-by-step explanation: First, you need to draw a picture and label the parts of the line: AB=5x-15; BC= 3x-5; AC =28. Because of the segment addition postulate, you set the equation to be 5x-15+3x-5=28. Then you solve:
5x-15+3x-5=28
Add like terms:
8x-20=28
Add 20 to both sides
8x=48
Divide by 8
x=6
Now, you need to find the measure of AB, so you plug the 6 into the x variable for 5x-15
5(6)-15
30-15
AB=15
(2) 11x3 (3) 7x5 (4) (8+5)x9 (5) 12+3 (6) 5x2 (7) (6+4)x8 (8) 8 + 13 Message me for more information
Answer:
Value of x = -1 and y = -4
Step-by-step explanation:
BC = 3 (given)
BC = AD ( opposite sides of a parallelogram are equal)
∴ AD = 3
AD = x - y (given)
∴ 3 = x - y
3 + y = x -------- (1)
CD = 2 (given)
CD = AB (opposite sides of a parallelogram are equal)
∴ AB = 2
AB = 2x - y (given)
∴ 2 = 2x - y ----------- (2)
Putting the value of x in (1) To (2)
2 = 2(3+y) - y
2 = 6 + 2y - y
2 = 6 + y
2 - 6 = y
-4 = y
Now, substitute the value of y in (1)
x = 3 + y
x = 3 + (-4)
x = 3 - 4
x = -1
Therefore, the value of x = -1 and y = -4.
<u>Cross-checking</u>
2x - y = 2
2*-1 - (-4) = 2
-2 -(-4) = 2
-2 + 4 = 2
2 = 2
LHS = RHS
x - y = 3
-1 -(-4) = 3
-1+4 = 3
3 = 3
LHS = RHS
Thus verified
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Answer:
The speed of plane = 40 m/s
The speed of the wind = 300 m/s
Step-by-step explanation:
Let the speed of the plane = Y
And the speed of the wind = X
If the plane then travel 340 miles per hour with the wind, that means the plane and the wind are moving in the same direction. Therefore,
X + Y = 340 ..... ( 1 )
Also, 260 miles per hour against the wind. That is, the plane is moving opposite to the direction of the wind. Therefore,
X - Y = 260 ..... ( 2 )
Solve the two equations simultaneously by addition. That will eliminate Y
X + Y = 340
X - Y = 260
2X = 600
X = 600/2
X = 300 m/s
Substitutes X in equation (1)
300 + Y = 340
Make Y the subject of formula by collecting the like terms
Y = 340 - 300
Y = 40 m/s
Therefore, the speed of the plane is 40 m/s. While the speed of the wind is 300 m/s.
