Answer:
DU = 86
Step-by-step explanation:
Properties of a rectangle,
- Opposite sides are equal in measure.
- Diagonals of a rectangle are equal.
- Diagonals bisect each other.
In the given rectangle QUAD,
Diagonals AQ and DU bisect each other at P.
AQ = DU
2(QP) = DU [Since, AQ = 2(PQ)]
2(2x + 7) = 5x - 4
4x + 14 = 5x - 4
5x - 4x = 14 + 4
x = 18
Since, DU = 5x - 4
DU = 5(18) - 4
= 90 - 4
= 86
Therefore, measure of DU = 86 units
Answer:
E. None of these
Step-by-step explanation:
Points: (11, -4), (13, -7)
slope = m = (y2 - y1)/(x2 - x1) = (-7 - (-4))/(13 - 11) = (-7 + 4)/2 = -3/2
y - y1 = m(x - x1)
y - (-4) = (-3/2)(x - 11)
y + 4 = (-3/2)x + 33/2
y + 8/2 = (-3/2)x + 33/2
y = (-3/2)x + 25/2
Answer: E. None of these
This is an incomplete question, here is a complete question and image is also attached below.
How much longer is the hypotenuse of the triangle than its shorter leg?
a. 2 ft
b. 4 ft
c. 8 ft
d. 10 ft
Answer : The correct option is, (b) 4 ft
Step-by-step explanation:
Using Pythagoras theorem in ΔACB :


Given:
Side AC = 6 ft
Side BC = 8 ft
Now put all the values in the above expression, we get the value of side AB.



Now we have to calculate the how much longer is the hypotenuse of the triangle than its shorter leg.
Difference = Side AB - Side AC
Difference = 10 ft - 6 ft
Difference = 4 ft
Therefore, the 4 ft longer is the hypotenuse of the triangle than its shorter leg.
Answer: The answer is 0.1076923 per dollar.
Step-by-step explanation: