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Rainbow [258]
3 years ago
15

Find x and y. Give reasons to justify your solution. AB is a straight line.

Mathematics
2 answers:
Lady_Fox [76]3 years ago
8 0

Answer:

x=8 degrees y=21 degrees

Step-by-step explanation:

zhannawk [14.2K]3 years ago
3 0

Answer:

x = 8

y = 21

Step-by-step explanation:

for explanation see the image

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A pack of confectioneries contains candies in four (4) flavors (berry, lemon, orange and cacao), 3 pieces each. Candies are dist
suter [353]

Answer:

The probability is 0.4909

Step-by-step explanation:

The following equation for nCk give as the number of ways in which we can select k elements from a group of n elements:

nCk=\frac{n!}{k!(n-k)!}

Then, there are 220 ways in which we can select 3 candies from the 12 that are in the pack. It is calculated as:

12C3=\frac{12!}{3!(12-3)!}=220

On the other hand, there are 108 different ways to select the 3 candies in which they are all different flavors. It is calculated as:

4C3 * 3C1 * 3C1 * 3C1 = 108

Because, 4C3 give us the number of ways to select 3 flavors from the 4 flavors. From this 3 flavors selected, we are going to select one candie from each one, so we multiply 3 times by 3C1, one for each flavor.

Finally, the probability is the division between the number of ways in which we can select 3 candies with different flavors and the total number of ways in which we can select 3 candies from the 12 in the pack. This is:

P=\frac{108}{220}=0.4909

7 0
3 years ago
Can you please help me with this.
Genrish500 [490]

Answer:

Step-by-step explanation:

The equation for an arithmetic sequence is

a_n=a_1+d(n-1)  where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.

Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:

a_n=2+3(n-1) which simplifies to

a_n=2+3n-3 and a bit more to

a_n=3n-1 (which should tell you that arithmetic sequences are lines!)

Finding the 13th number simply requires that we replace n with 13 and solve:

a_{13}=3(13)-1 so

a_{13}=38

8 0
3 years ago
Read 2 more answers
A study found that 9% of dog owners brush their dog’s teeth. Of 578 dog owners, about how many would be expected to brush their
GenaCL600 [577]

Answer:

9 percent of 578 is 52.02.

Step-by-step explanation:

578/x=100/9

(578/x)*x=(100/9)*x       - we multiply both sides of the equation by x

578=11.111111111111*x       - we divide both sides of the equation by (11.111111111111) to get x

578/11.111111111111=x  

52.02=x  

x=52.02

0 0
3 years ago
Denver gets 5/19 of the dog food.
natka813 [3]

Answer:

Fido have \frac{42}{95} of the dog food (44.211 %), Engle have \frac{28}{95} of the dog food (29.474 %) and Denver have \frac{5}{19} of the dog food (26.316 %).

Step-by-step explanation:

If Denver gets \frac{5}{19} of the dog food, then Engle and Fido share \frac{14}{19} of the dog food. If Fido have x of the dog food, then Engle have \frac{4}{3}\cdot x such that:

x + \frac{4}{3}\cdot x = \frac{14}{19}

\frac{5}{3}\cdot x = \frac{14}{19}

x = \frac{42}{95}

Fido have \frac{42}{95} of the dog food (44.211 %), Engle have \frac{28}{95} of the dog food (29.474 %) and Denver have \frac{5}{19} of the dog food (26.316 %).

4 0
3 years ago
Fill in the blank to make equivalent rational expressions?
laiz [17]
The answer is -49 because you multiply by 7.
7 0
3 years ago
Read 2 more answers
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