Answer:
54° and 110°
Step-by-step explanation:
The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°
(9)
19x - 26 + 7x - 2 = 180
26x - 28 = 180 ( add 28 to both sides )
26x = 208 ( divide both sides by 26 )
x = 8
Then
∠ EFG = 7x - 2 = 7(8) - 2 = 56 - 2 = 54°
(10)
21x - 33 + 14x + 3 = 180
35x - 30 = 180 ( add 30 to both sides )
35x = 210 ( divide both sides by 35 )
x = 6
Then
∠ YVW = 14x + 3 = 14(6) + 3 = 84 + 3 = 87°
The inscribed angle YVW is half the measure of its intercepted arc YW, so
arc YW = 2 × 87° = 174°, then
arc XW = 174° - 64° = 110°
Considering the given probability distributions, distribution D is valid.
<h3>When a probability distribution is valid?</h3>
A probability distribution is valid if:
- There are no negative probabilities.
- The sum of all probabilities is of 1.
In this problem, only distribution D has a sum of 1, hence it is the only valid distribution.
More can be learned about probability distributions at brainly.com/question/23670007
#SPJ1
<span>8 ≥ 16y
Divide both sides by 16.
0.5 </span>≥ y, or y ≤ 0.5.
The answer is A) y ≤ 0.5.
Answer:
$14.56
Step-by-step explanation:
<u><em>Steps to answering this question </em></u>
- Determine the total number of comics bought. This can be done by dividing the total amount spent on comics by the unit price of a comic
- Determine the selling price of the comic
- multiply the amount of comics bought by the selling price
the total number of comics bought = total amount spent on comics / per unit price of comics
$20.16 / $0.72 = 28
selling price = 0.72 - $0.20 = $0.52
Total amount received = selling price x total comics bought
$0.52 x 28 = $14.56
It asks to "Find the unit price in dollars per padlock"
The phrasing "dollars per padlock" is the same as "dollars per 1 padlock"
In other words, the teacher wants to know how much 1 padlock costs.
7 padlocks : $23.80
7/7 padlocks : $23.80/7 .... divide both parts by 7
1 padlock : $3.40
We see that 1 padlock costs $3.40, so the unit cost is $3.40 per padlock
