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3 years ago

Identify each pair of angles as corresponding, Alternate interior, alternate exterior, or consecutive interior and solve for X

Mathematics

1 answer:

-BARSIC- [3]3 years ago

4 0

Answer:

Step-by-step explanation:

19). Angles measuring 90° and (21x + 6)° are Alternate exterior angles.

Therefore, 21x + 6 = 90

2x = 90 - 6

2x = 84

x = 42

21). Angles measuring 60° and (8x - 4)° are Alternate interior angles,

8x - 4 = 60

8x = 60 + 4

x = $\frac{64}{8}$

x = 8

23). Since, angles measuring (-1 + 14x)° and (12x + 17)° are Alternate exterior angles

Therefore, (-1 + 14x) = (12x + 17)

14x - 12x = 17 + 1

2x = 18

x = 9

25). Both the angles (x + 96)° and (x + 96)° are consecutive interior angles.

Therefore, (x + 96)° + (x + 96)° = 180° [Property of consecutive interior angles]

2x + 192 = 180

2x = 180 - 192

2x = -12

x = -6

Now measure of (x + 96)° = -6 + 96

= 90°

26). Both the angles (20x + 5)° and (24x - 1)° are consecutive interior angles.

Therefore, (20x + 5)° + (24x - 1)° = 180°

44x + 4 = 180

44x = 176

x = 4

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Due to a packaging error, 4 cans labeled diet soda were accidentally filled with regular soda and placed in a 12 pack carton of

Sophie [7]

Answer:

Probability that both cans were regular soda = $\frac{1}{11}$

Step-by-step explanation:

Probability = $\frac{Desired outcome}{Total possible outcomes}$

We are given 12 total number of cans; 4 cans have been accidentally filled with diet soda.

Probability that first can is a regular soda:

Outcome that first can is a regular soda will give us the number of regular soda available which are 4

Using formula of probability

Total possible outcomes are, n(total) = 12

Desired outcome: 4 (cans of regular soda)

P(1st can) = $\frac{4}{12}$ = $\frac{1}{3}$

Probability that 2nd can is a regular soda:

As we have already taken a can of regular soda from the pack, the total soda in the pack now 11 and the regular soda left are 3.

Total possible outcomes are, n(total) = 11

Desired outcome: 3 (cans of regular soda as one has already been taken)

P(2nd can) = $\frac{3}{11}$

Probability that both cans are regular soda:

P(both) = P(1st can) × P(2nd can)

= $\frac{1}{3} * \frac{3}{11}$

= $\frac{1}{11}$

3 0

4 years ago

Read 2 more answers

Which choice correctly expresses the number below in scientific notation?

SVEN [57.7K]

Answer:

Step-by-step explanation:

In scientific notation, the number that is being multiplied by the power of ten must be greater than or equal to 1 and less than 10. This eliminates options B, C, and E. The rest of the options are all 5.79 times something. To find that something, we can do 5,790,000 / 5.79 = 1000000 = 10⁶. This means that the answer is D.

4 0

3 years ago

Can you explain how to do this math problem?

d1i1m1o1n [39]

Since the problem is 2x^2-5xy-y^3 we first have to plug in what the x and y stands for, once you do that your problem should look like this:

2(-3)^2- 5(-3)(-2)- (-2)^3

Now take the parentheses away and when you do that your signs change.

2x3^2-5x(-3)x(-2)-(-2)^3

do it again with -5x(-3)x(-2)

2x3^2-30-(-2)^3

now do this with (-2)^3

2x3^2-30-(-8)

Now evaluate the power

3^2 becomes 9

2x9-30-(-8)

then change -(-8) to a positive since two negatives make a positive

2x9-30+8

Now multiply the numbers 2x9

18-30+8

Then do 18-30 which equals -12 then add 8

Now you are left with your answer:

-4

Hope this helps! :3

6 0

3 years ago

What's the answer???

Tema [17]

It is the last answer. because the shaded part is above the line, it is greater than. the slope is 1/3. that leaves only one more equation remaining, so the answer is the last one.

6 0

3 years ago

I’m haveing a hard time explaining why D is the right answer please help

Anon25 [30]

Because d actually collects data about what the people want.

3 0

3 years ago