Answer:
Step-by-step explanation:
Statement Reason:
1) The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) By the midpoint formula
2) Length of segment DE is Square root of 5 and length of segment AC is 2 multiplied by the square root of 5 By the distance formula
3) Segment DE is half the length of segment AC By substitution
4) Slope of segment DE is -2 and slope of segment AC is -2 by the slope formula
5) Segment DE is parallel to segment AC Slopes of parallel lines are equal...
x-4>15.5
x>15.5+4
x>19.5
i suppose the answer is D since it is the closest to ^.
Answer:
15<x<27
Step-by-step explanation:
Rule for the sides of a triangle:
The sum of the two smallest sides of a triangle must be greater than the biggest side.
In this question:
Sides of 6, 21 and x. We have to find the range for x.
If 21 is the largest side:
Two smallest are 6 and x.
x + 6 > 21
x > 21 - 6
x > 15
If x is the largest side:
Two smallest and 6 and 21. So
21 + 6 > x
27 > x
x < 27
Then
x has to be greater than 15 and smaller than 27. So the answer is:
15<x<27
We want to use elimination to solve
y = 0 (1)
x + y = 40 (2)
Multiply (1) by -1 to eliminate y.
-y = 0 (3)
Add (2) and (3).
x + y + (-y) = 40 + 0
x = 40
Answer: Multiply by -1.
Answer:
8) 10 m 9) 26 in 10) 51 m 11) 50 ft 12) 19.4 cm 13) 177.9 m 14) 40 15) 12 16) 14.7 17) 12.1
Step-by-step explanation:
You may solve the problems by using the Pythagorean Theorem which states that c^2 = a^2 + b^2, or in other words, the hypotenuse squared is equal to the sum of the legs squared.
Hope this helps! :-)
