Answer:
Slope = 1
Step-by-step explanation:
(x1, y1) = (-5, -3)
(x2, y2) = (-1, 1)
(y2 - y1) / (x2 - x1) = (1 - -3) / (-1 - -5) = 4 / 4 = 1
Slope = 1
Answer:
I drew more points as uploaded picture.
We have, arc BD + 210 + 90 = 360 deg
(sum of all arcs on circle)
=> arc BD = 360 - 210 - 90 = 60 deg
Here we have angle CBD = (1/2) x arc CD = (1/2) x 90 = 45 deg
(property of angle on circle)
=> angle ABD = angle ABC - angle CBD = 180 - CBD = 180 - 45 = 135 deg
( A, B, C lie on same line => ABC = 180 deg)
Otherwise, we have:
angle BDA = (1/2) x arc BD = (1/2) x 60 = 30 deg
We have: x + angle BDA + angle ABD = 180 deg
(sum of all angles in a triangle)
=> x = 180 - angle BDA - angle ABD
=> x = 180 -135 - 30
=> x = 15 deg
Hope this helps!
:)
Let x be the month on which the fee for two plans are equal.
Therefore,
150 + 10x = 50 + 30x
10x - 30x = 50 - 150
-20x = -100
x = 5
Cumulative cost = 150 + 10(5)
= 150 + 50
= 200
Hence, Karan will pay a cumulative cost of $200 dollars with either plan to go to the gym for 5 months.
M= y2-y1 -7- -1
------- = _-6_ = -3/2
x2-x1 5 -1 4
Answer:
48 cups
Step-by-step explanation:
4 gallons = 64 cups
1 gallon = 64 ÷ 4
1 gallon = 16 cups
3 gallons = 16 * 3 = 48 cups