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riadik2000 [5.3K]
3 years ago
11

Find the value of x in each case.

Mathematics
1 answer:
pentagon [3]3 years ago
3 0

Answer:

23

Step-by-step explanation:

All triangles = 180 degrees

65 + 4x + x = 180

65 + 5x = 180

- 65          - 65

----------------------

5x = 115

--- = ----

5  = 5

x = 23

4(23) = 92

F = x = 23

B> 65

92 + 23 + 65 = 180

x = 23

F> = B>

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Lucy has 1/5 of a pound of chocolates. She would like to make 4 gift bags with chocolates for her teachers.
Lapatulllka [165]

Answer:

0.05 pound of chocolate per gift bag or 1/20 pound of chocolate per gift bag

Step-by-step explanation:

1/5 divided by 4

=0.05 pound of chocolate per gift bag or 1/20 pound of chocolate per gift bag

-----------------------------------------------------------------------------------------------------------------

<h3><em><u>Hope this helped!! </u></em></h3>
3 0
2 years ago
How can sums and differences of cubes be identified for factoring?
Ad libitum [116K]
The sum of cubes is given as:
a³ + b³ = (a + b)(a² - ab + b²)

Example for the sum of cubes:

64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers

By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)

--------------------------------------------------------------------------------------------------------------

The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)

Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
                     = (5x - 2y) (25x² + 10xy + 4y²)
7 0
3 years ago
A bathtub that holds 22 gallons of water contains 12 gallons of water. You begin filling it, and after 5 minutes, the tub is ful
Sedaia [141]

Answer:

8 Gallons Per Minute

Step-by-step explanation:

7 0
3 years ago
The mean number of hours of part-time work per week for a sample of 526526 college students is 2828. If the margin of error for
sveta [45]

Answer:

The 99% confidence interval for the mean number of hours of part-time work per week for all college students is between 25.8 and 30.2.

Step-by-step explanation:

A confidence interval has the following format.

\mu_{x} \pm M

In which \mu_{x} is the mean of the sample and M is the margin of error.

In this problem, we have that:

\mu_{x} = 28, M = 2.2

\mu_{x} - M = 28 - 2.2 = 25.8

\mu_{x} + M = 28 + 2.2 = 30.2

The 99% confidence interval for the mean number of hours of part-time work per week for all college students is between 25.8 and 30.2.

4 0
3 years ago
Kim Lee is buying a sedan that has a base price of $24,827. The options total $1,242, and the destination charge is $970. The de
romanna [79]

Answer:d

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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