Check the picture below.
we know that AL is an angle bisector, so the angle at A gets cuts into two equal halves, we also know the angle at B is 30°, so the triangle ABC is really a 30-60-90 triangle, meaning the angle at A is really a 60° angle, cut in two halves gives us 30° and 30° as you see in the picture.
if the angles at A and B, inside the triangle ABL, are equal, twin angles are only made in an isosceles by twin sides, that means that AL = BL.
Looking at the triangle ALC, we can see is also another 30-60-90 triangle, and we can just use the 30-60-90 rule to get x=CL.
Answer:
The quotient of the co-ordinates will be a co-efficient in the equation.
Step-by-step explanation:
Let in the equation, and the graph,
y ∝ x
then y = mx [where m is a suitable constant]
⇒
Hence, here,
The quotient of the co-ordinates will be a co-efficient in the equation.
Answer:
a)
b)
Step-by-step explanation:
Number of balls in the urn = 12
Number of white balls in the urn = 4
So, number of balls which are not white = 12 - 4 = 8
We know that probability = No. of outcomes/Total number of outcomes
Let denotes the event of getting white ball by A, B and C
a) each ball is replaced after being drawn.
Probability = Number of white balls/Total number of balls
Solution:
b)the balls that are withdrawn are not replaced.
Solution:
If A wins:
If A lost and B wins:
If A and B lost and C wins:
and so on....
Answer:
Option a - $9,314.45
Step-by-step explanation:
Cost of the house = $268,500
Time of repayment = 30 years
Repayment is done monthly, so number of repayments = 30 X 12 = 360
Monthly Payment = $1595.85
Rate of interest per payment period =
So, Present value of monthly payments = 1595.85 X
= $259,185.55
So, Vanessa's down payment = $268,500 - $259,185.55 = $9,314.45
Hope it helps.
Thank you !!
Answer:
When the graph has a horizontal line.
Step-by-step explanation:
Zero rate of change. When the value of increases, the value of remains constant. That is, there is no change in value and the graph is a horizontal line.
SOURCE: GOOGLE