Answer:
Option (4)
Step-by-step explanation:
Vertices of the triangle are X(0, -4), Y(2, -3) and Z(2, -6).
Slope of XY (
) = 
= 
(
) = 
Similarly, slope of XZ (
) =
(
) = (-1)
Which should be (-1) if XY and XZ are perpendicular to each other.
Now we can say that XY and XZ are not perpendicular.
Therefore, Lydia's assertion that ΔXYZ is a right triangle is not correct.
Option (4) will be the answer.
16ft= 192 in
8ft= 96 in
192/36= 96/16 = 6
Your drawing is 1/6 of the actual billboard
Answer:
There are 5,586,853,480 different ways to select the jury.
Step-by-step explanation:
The order is not important.
For example, if we had sets of 2 elements
Tremaine and Tre'davious would be the same set as Tre'davious and Tremaine. So we use the combinations formula.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In how many different ways can a jury of 12 people be randomly selected from a group of 40 people?
Here we have
.
So

There are 5,586,853,480 different ways to select the jury.
Answer: StartFraction 1 Over 64 EndFraction
Step-by-step explanation: Based on the pattern, the fraction keeps increasing. It keeps multiply itself by 2.
(I could be wrong, hopefully I'm Not)
Answer:
x=y
Step-by-step explanation:
Collect Like terms from 2x+3y=5y
Like this: 2x=5y-3y (when switching sides, turn positive into negative, negative into positive)
2x=5y-3y
Simplify
2x=2y
Simplify
x=y