Answers:
x = 3
y = 9
=========================================================
Explanation:
We're told that angle A is 20x. The diagram shows we have an equilateral triangle (since all three sides are the same length), so we know that all angles are the same measure and they are equal to 60 degrees.
Equate 20x and 60. So we solve 20x = 60 and that leads to x = 3 after you divide both sides by 20.
Since we have a triangle with all sides equal, we know that AB = AC = 9, therefore y = 9 because y is the length of AB.
To solve for this, we need to figure out the sum of any two numbers on the dice that will become a pair factor for the listed answers.
What I mean by that is that we need to find the probability between how many two numbers will sum up to the answer.
3 can be 1 + 2, that's it. 3 has a probability of (1).
4 has a sum of 1 + 3, and 2 + 2, that's it. 4 has a probability of (2).
7 has a sum of 1 + 6, 2 + 5, and 3 + 4. 7 has a probability of (3).
11 has a sum of 5 + 6, that's it. 11 has a probability of (1).
The numbers in parenthesis are the probabilities.
7 has the highest number, so 7 has the highest probability.
Your answer is: 7.
I hope this helps!
Decimal form: -2.6666..
Fraction form: -2 2/3
Step-by-step explanation:
1075 students were asked how close they live to the college. The table shows the results below with some values missing. Enter the correct values in the boxes remembering to use the % symbol where necessary.
<u>20 to 25: </u>given 20%
20% of 1,075 = 215
<u>15 to 19: </u>given 12%
12% of 1,075 = 129
<u>10 to 14: </u>given 516 students
(516/1,075)*100 = 48%
<u>5 to 9: </u>given 162 students
(162/1,075)*100 = 15.07%
<u>< 5: </u>given 53 students
(53/1,075)*100 = 4.93%
Answer:
B and C
Step-by-step explanation:
Required
Select graphs that are dilated by a scale factor greater than 1
For graph A:
Graph A is smaller than the original graph. This indicates dilation with a scale factor less than 1
For graph B:
Graph B is bigger than the original graph and is dilated over (0,0). This indicates dilation with a scale factor greater than 1
For graph C:
Graph C is bigger than the original graph; however, it is not dilated over (0,0). This indicates dilation with a scale factor greater than 1
For graph D:
Graph D is bigger than the original graph; however, it is not only dilated but also flipped over (i.e. rotated).
<em>Hence, b and c is true</em>
