Answer:
Look below
Step-by-step explanation:
Given that CDB is 90 degrees, ACB is 90 degrees, and ACD is 60 degrees, we can determine that DCB = 90-60 = 30 degrees.
This means triangle BCD is a 30-60-90 (angle measures) right triangle
The proportions of the sides (from smallest to largest) is
x:x√3:2x
We are given that BC = 6 cm. This means...
2x=6
x=3
This means DB is 3 cm and CD is 3√3 cm
Using the linear pair theorem, we can find that Angle CDA is 90 degrees. This means ACD is also a 30-60-90 triangle.
x=3√3
x√3=9
2x=6√3
Now we need to find AB
AB = AD + DB
AB = 9 + 3
AB = 12 cm
False because it would be 4(2)=4 which is not correct
Answer:
6/5, or 1 1/5
Step-by-step explanation:
I use a method called KCF, which means Keep Change Flip. Here is your current expression: 2/5 / 1/3. First, keep the first fraction. Next, change the sign into a multiplication symbol. Now, you have 2/5 x 1/3. Finally, flip the last fraction into 3/1. Now, this is your expression: 2/5 x 3/1. Multiply numerator by numerator, denominator by denominator. Your final answer is 6/5, or 1 1/5 simplified.
Answer:
For interquartile range, you will need to find the range of the boxes, and not the line since for the lower quartile is 5.5 and the higher qaurtile is 7, the interquatile range is 1.5
Step-by-step explanation:
Answer:
y = 6, rendering the coordinate pair: (6,6)
Step-by-step explanation:
We start by writing the equation of the line that passes through two given points on the plane: 
and 
beginning with finding the slope of the segment that joints the points using the slope formula: 
Let's call = (2,4), and = (-2,2). Then we have the formula for the slope:
Now that we have the slope of the line, we can find the actual equation of the line by using one of the given points, and the "point-slope" form of a line with slope "m" and going through a point 
- which in our case we defie as one of our given points, let's say (2, 4):
now we find what is the "y" value in such line that corresponds to an x-value of "6" to complete the coordinate pair (6, ?). For such we simply evaluate the equation above at x = 6:
Therefore, y must be "6".
