Answer:
<em>A. The slope formed by ΔABC has a value that is 1/2 the slope formed by ΔCDE</em>
Step-by-step explanation:
Find the diagram attached.
Slope is the change in y coordinates tom that of x coordinate of a line.
Slope = Δy/Δx
Slope = y2-y1/x2-x1
For ΔABC,
A(-3, 6) and C = (-1, 3)
Slope = 3-6/-1-(-3)
Slope = -3/-1+3
Slope = -3/2
Slope of line AC is -3/2
For ΔCDE,
C = (-1, 3) and E = (3, -3)
Slope = -3-3/3-1
Slope = -6/2
Slope = -3
Slope of line CE is -3
From the calculation above, it can be seen that Slope of ΔABC = 1/2(slope of ΔCDE)
-3/2 = 1/2 (-3)
-3/2 = -3/2
<em>Hence the correct option is A. The slope formed by ΔABC has a value that is 1/2 the slope formed by ΔCDE</em>
Answer:
x = -7
Step-by-step explanation:
Eleven more than five times a number is equal to the difference between −38 and twice the number.
let x represent the number.
11 + 5x = -38 - 2x
7x +11 = -38.............add 2x to both sides
7x = -49................... subtract 11 from both sides
x = -7........................divide both sides by 7
Answer: the answers are c and d
Step-by-step explanation: only these combinations would form right triangles because the way other combinations are too small or too large to actually accommodate for the remaining number in the problem. The squares of 5, 12, and 13 are 25, 144, and 169, meaning they form a perfect right triangle. The next sequence is 36, 85, 77, and the squared rearranged version is 1,296, 5,929, and 7,225, meaning they also form a right triangle.
Answer:
24w⁹
Step-by-step explanation:
Answer:
84 tickets
Step-by-step explanation:
[189÷(4+5)]×4
=189÷9
=21×4
= 84 tickets