Answer:
The slope of the line that contains diagonal OE will be = -3/2
Step-by-step explanation:
We know the slope-intercept form of the line equation
y = mx+b
Where m is the slope and b is the y-intercept
Given the equation of the line that contains diagonal HM is y = 2/3 x + 7
y = 2/3 x + 7
comparing the equation with the slope-intercept form of the line equation
y = mx+b
Thus, slope = m = 2/3
- We know that the diagonals are perpendicular bisectors of each other.
As we have to determine the slope of the line that contains diagonal OE.
As the slope of the line that contains diagonal HM = 2/3
We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.
Therefore, the slope of the line that contains diagonal
OE will be = -1/m = -1/(2/3) = -3/2
Hence, the slope of the line that contains diagonal OE will be = -3/2
Answer:
Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. Which congruence theorem can be used to prove that the triangles are congruent? Two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle.
Answer:Amount = 10,002.21
Step-by-step explanation:4 x 5 = 20 times
2.-
Principal = 5,000
Interest rate per yr = 3%
Compounded times per yr = 4
Time in years = 5
The formula is amt = p*(1 + r/n) ^ (n*t),
thus
Amount = 5,805.92
3.-
If Time in years = 23.2
then
Amount = 10,002.56
4.-
Principal = 5,000.00
Interest rate per yr = 5.82%
Compounded times per yr = 4
Time in years = 12
We notice it diviides by 3 each time or multiplies by 1/3
common ratio is 1/3
first term is 648
so next 3 terms are 8, 8/3, and 8/9
rule is an=648(1/3)^(n-1)