Identify the polygon that has vertices A(−10,−1), P(−7,3), E(−3,0), and X(−6,−4), and then find the perimeter and area of the po
lygon.
1 answer:
Answer:
square; perimeter 20 units; area 25 square units.
Step-by-step explanation:
As the attachment shows, each side of the polygon is the hypotenuse of a 3-4-5 right triangle, so has length 5 units. The perimeter is the sum of those lengths, 4×5 = 20; the area is the product of the lengths of adjacent sides, 5×5 = 25.
The figure is a square of side length 5 units.
The perimeter is 20 units; the area is 25 square units.
You might be interested in
Answer:
Step-by-step explanation:
The general formula for a probability is:
The favorable events for the cube to fall in a even number are:
2, 4, and 6 ⇒ <u>3 favorable events</u>
and in the cube the total events are:
1, 2, 3, 4, 5, 6 ⇒ <u>6 total events</u>
So the probability of rolling an even number in the cube is:
Now we do something similar to find the probability to choose a card with an even number.
The favorable events for an even numbered card are:
2, 4 ⇒<u> 2 favorable events</u>
and the total number of events in the cards is:
1, 2, 3, 4, 5 ⇒ <u>5 total events</u>
Thus, the probability to choose an even numbered card (according to the probability formula) is:
And finally, since we want both things to happen we must multiply both obtained probabilities:
- the probability that he will roll an even number and choose an even numbered card:
The probability is 1/5 which is equal to 0.2 or 20%