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4 years ago

Lines a and b are parallel.

Mathematics

1 answer:

Bumek [7]4 years ago

3 0

<b and the angle 79 degrees are exterior alternate angles which are equal
b = 79 degrees.

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Which fraction

fiasKO [112]

Answer:

14/3

Step-by-step explanation:

When 56 shares are evenly distributed between 12 people, each person gets equal number of shares.

The number of shares gotten by each person is the ratio of the total number of shares to the total number of people. It is given by the formula:

number of shares gotten by each person = total number of shares / total number of people

number of shares gotten by each person = 56 shares / 12 people

number of shares gotten by each person = 14/3 shares

6 0

3 years ago

Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pian

finlep [7]

Answer:

30% is the correct answer.

Step-by-step explanation:

Total number of boys = 2

Total number of girls = 3

Total number of students = 5

To find:

Probability that the pianist will be a boy and the alternate will be a girl?

Solution:

Here we have to make 2 choices.

1st choice has to be boy (pianist) and 2nd choice has to be girl (alternate).

$\bold{\text{Required probability }= P(\text{boy as pianist first}) \times P(\text{girl as alternate})}$

Formula for probability of an event E is given as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

For $P(\text{boy as pianist})$ , number of favorable cases are 2 (total number of boys).

Total number of cases = Total number of students i.e. 5

So, $P(\text{boy as pianist})$ is:

$P(\text{boy as pianist}) = \dfrac{2}{5}$

For $P(\text{girl as alternate})$ , number of favorable cases are 3 (total number of girls).

Now, one boy is already chosen as pianist so Total number of cases = Total number of students left i.e. (5 - 1) = 4

$P(\text{girl as alternate}) = \dfrac{3}{4}$

So, the required probability is:

$\text{Required probability } = \dfrac{2}{5}\times \dfrac{3}{4} = \dfrac{3}{10} = \bold{30\%}$

6 0

3 years ago

Joanie's curtain company is making curtains for a local hotel. She wants each curtain to be 48 inches long. At the fabric store,

Dima020 [189]

Answer: 224 feet

Step-by-step explanation:

Each curtain is 48 inches long, and she wants to make 56 curtains.

However, the fabric store sells by the foot.

There are two ways to do this:

1) You can convert beforehand.

48 inches= 4 feet because 1 inch=1/2 foot.

Multiply 48 by 1/12 to find how many feet are in 48 inches.

= 48/12

So 48 inches= 4 feet

Now, each curtain is 4 feet. There are 56 curtains to be made.

Now multiply by 4 to find how many feet are in 56 curtains.

56x4=224 feet.

Answer= 224 ft

Or: You can convert afterwards

48x56= how many inches in 56 curtains

= 2,688 inches

Then, convert to feet!

1 inch= 1/12 foot

2688 multiplied by 1/12:

=2688/12

=224 feet

Answer= 224 feet

Either way, you both get 224 feet.

7 0

3 years ago

Needed quickly like asap

Artemon [7]

It is 18/20 and in simplest form it is 9/10.

Steps:
1.You have to add all the shirts, 2+7+11. This is 20, this will become your denominator

2. See what portion is NOT BLACK, the non black at 7 and 11, once you add these it becomes 18. 18 is now your numerator.

3. You now have the fraction 18/20 which you can simplify into 9/10

Hope this helps :)

4 0

3 years ago

FRACTIONS<br> Equivalent fractions<br> Fill in the blank to make the two fractions equivalent.

vladimir2022 [97]

Answer:

9/21

Step-by-step explanation:

9/21 as a fraction is equal to 3/7

9/21 has a common factor of 3, allowing it to simplify down to 3/7

4 0

3 years ago