<u>Given</u>:
Four coordinates lying on the 3rd quadrant of the Cartesian plane are as follows: 
- C' = (–6, –5)
- D' = (–6, –3)
- E' = (–4, –3)
- F' = (–4, –5)
<u>Translation</u>:
Since you've been asked to translate the coordinates of the vertices 2 units right and 8 units up, you'll need to add 2 to its x-coordinate and 8 to its y-coordinate.
C'(–6, –5)
ㅤㅤ= C'(–6 + 2, –5 + 8)
ㅤㅤ= C'(–4, 3)
D'(–6, –3)
ㅤㅤ= D'(–6 + 2, –3 + 8)
ㅤㅤ= D'(–4, 5)
E'(–4, –3)
ㅤㅤ= E'(–4 + 2, –3 + 8)
ㅤㅤ= E'(–2, 5)
F'(–4, –5)
ㅤㅤ= F'(–4 + 2, –5 + 8)
ㅤㅤ= F'(–2, 3)
<u>Final </u><u>answer</u>:
- C' = (–4, 3)
- D' = (–4, 5)
- E' = (–2, 5)
- F' = (–2, 3)
The sum of the measures of the angles of a triangle is 180 degrees.
An isosceles triangle has two congruent sides.
The angles opposite the congruent sides are congruent.
Just like the bottom left angle measures x, the bottom right angle also measures x.
x + x + 38 = 180
2x + 38 = 180
2x = 142
x = 71
Answer: the sum of p and q
Step-by-step explanation:
Answer:
231
Step-by-step explanation:
Let's compute the probability of this event and then multiply it by 100.
As each deck has 4 suits and each suit has 3 faces, there are 12 faces in a deck.
As a deck has 52 cards, the probability of drawing a face is
<em>12/52 = 0.23076
</em>
This means that if you choose a card 1000 times from a deck of poker cards, you probably will select 231 times a face (rounding to the nearest integer).