Answer with explanation:
Properties of Rectangle
1. Opposite sides are equal and parallel.
2. Diagonals are equal and bisect each other.
3. Adjacent Sides are Perpendicular to each other.
→If two lines are parallel their slopes are equal and if two Lines are perpendicular, their product of slopes is -1.
→A Rectangle is a Quadrilateral also.
→Adjacent sides are perpendicular ,so , their slopes can't be equal.Product of their slopes should be equal to ,-1.
⇒Slope of AB × Slope of BC = -1
⇒Also, Slope of AB × Slope of BC = -1
Slope of AB × Slope of AD = -1
⇒ Slope of AD × Slope of CD = -1
Slope of CB × Slope of CD = -1
Option B And Option C
are statement which proves that polygon ABCD is not a rectangle.
Answer:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
Step-by-step explanation:
Given
Represent the rate of the first mechanic with x and the second with y.
So, we have:
The total earnings is: $1850, so we have:
Required
Determine the rate of each
The equations are:
--- (1)
--- (2)
Divide (2) through by 5
--- (3)
Subtract (1) from (3)
Divide through by 2
Substitute 105 for y in (1)
Make x the subject
Substitute 105 for y
Hence:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
Answer:
Where’s the plot box???
Step-by-step explanation:
???
Answer:
<em>P</em> = 2/3
Step-by-step explanation:
45 cards in all
15 blue
15 red
15 green
To figure out the probability of red and blue together, add red and blue.
15 + 15 = 30
Since the total is 45, this is how many 30 will be out of.
30 out of 45 = 30/45
Simplify 30/45 by dividing each side by 15
30 ÷ 15 = 2
45 ÷ 15 = 3
30/45 = 2/3
<span>the limits as x approaches from the left and right of 1 is not equal.</span>
