Answer: 
Step-by-step explanation:
You need to analize the information provided in the exercise.
Observe the given figure.
You know that the line AC and and the line BD are parallel and they are cut by a transversal.
By definition, the pair of angles created by this intersection and are located inside the parallel lines and on opposite sides of the transversal, are called "Alternate Interior Angles".
Alternate Interior Angles are congruent, which means that they have equal measure.
Knowing this, you can identify that the angle "p" and the angle "n" are Alternate Interior Angles, therefore:
Given:
Required:
To find the probability that the dart land will be in the shaded region.
Explanation:
Area of the circle is given by the formula:
Where r = radius
Thus the area of the circular region
The area of the square is given by the formula:
Thus the area of the given square
The probability of an event is given by the formula:
The probability that the dart land will be in the shaded region
Thus probability
Final answer:
Thus the probability that the dart land will be in the shaded region is 0.349.
Answer:
10^20
3^11
3^24
10^12
Step-by-step explanation:
(10^2)^10=10^2*10=10^20
3^3*3^8=3^3+8=3^11
(3^3)^8=3^3*8=3^24
10^2*10^10=10^2+10=10^12
Answer:
Translate ABCD down 1, then reflect it over the y-axis
and
Reflect ABCD over the y-axis, then translate down 1
Step-by-step explanation:
First of all, the two steps are the same, just in a different order
Second, if you look at the instructions you can see what would happen to the quadrilateral. Reflecting over the y-axis would make the shape flip horizontally (left to right), as shown in the image. This means the points on the left move to the right, and the points on the right move to the left. Top and bottom points stay the same. And the "translation" just means to slide. In both the answers, it says "translate 1 unit down", which just means "move 1 unit down", which is exactly what happens in the image
Answer:
x=8
y=-3
Step-by-step explanation:
let
x+y=5........ equation 1
x-4y=20....... equation 2
x=20+4y
substituting the value of x in eq 1
x+y=5
20+4y+y=5
5y=5-20
y=-15/5
y=-3
again putting the value of y in eq 2
x=20+4y
x=20+4(-3)
x=20-12
x=8
