9514 1404 393
Answer:
x = 8
Step-by-step explanation:
Assuming the figure is a parallelogram, the diagonals bisect each other. That means ...
3x -11 = x +5
2x = 16 . . . . . . . add 11-x to both sides
x = 8 . . . . . . divide by 2
Answer:
The lines are parallel.
Step-by-step explanation:
Given the lines
Writing the equations in the slope-intercept form
where m is the slope and b is the y-intercept
Thus, the slope = m₁ = -2/3
also
Thus, the slope = m₂ = -2/3
- We know that parallel lines have equal slopes
As
m₁ = m₂
Thus, the lines are parallel.
9514 1404 393
Answer:
2515 is REAL and RATIONAL
Step-by-step explanation:
π is irrational
Repeating decimals are rational.
-25 is neither a Whole nor Natural number. (Whole numbers are non-negative integers; Natural numbers are positive integers, sometimes including 0.)
Any integer or fraction is REAL and RATIONAL. 2515 is an integer, so it is ...
2515 is REAL and RATIONAL
Answer:
35.36 ft
Step-by-step explanation:
For an isosceles right triangle, the hypotenuse is √2 times the length of one side. So, the length of one side of your deck is ...
(50 ft) = √2 × side length
(50 ft)/√2 = side length ≈ 35.36 ft
Answer:
C, D
Step-by-step explanation:
The equation for the x-coordinate will have the x-coordinate of the midpoint (-1/2) on the left side of an equation involving x2. Choice C applies.
The equation for the y-coordinate will have the y-coordinate of the midpoint (-1) on the left side of an equation involving y2. Choice D applies.
_____
<em>Additional comment</em>
When you solve the equation
M = (P +Q)/2
for P, you find that ...
P = 2M -Q . . . . . . . . our favorite way to find the other end point
or ...
x2 = 2(-1/2) -3 = -4
y2 = 2(-1) -(-5) = 3
The coordinates of P are (-4, 3).