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Arisa [49]
3 years ago
9

What is the measure of 2?

Mathematics
2 answers:
Fiesta28 [93]3 years ago
8 0

Answer:

Value of x:

{ \tt{(7x + 1) \degree + (18x + 4) \degree = 180 \degree}} \\  { \tt{25x + 5 = 180}} \\ { \tt{25x = 175}} \\ x = 7

Finding m‹2 :

{ \tt{m \angle2 = (7x + 1) \degree}} \\ { \tt{m \angle2 = (7 \times 7) + 1}} \\ { \bf{m \angle2 = 50 \degree}}

Kryger [21]3 years ago
6 0

Answer:

m∠2 = 50

Step-by-step explanation:

7x + 1 and 18x + 4 are angles in a linear pair.

Sum of linear pair angles is supplementary.

7x + 1 + 18x + 4 = 180

7x + 18x + 1 + 4 = 180

25x + 5 = 180

25x = 180 - 5

25x = 175

x = 175 / 25

x = 7

Substitute x = 7 in 7x + 1,

7x + 1

= 7 ( 7 ) + 1

= 49 + 1

= 50

7x + 1 and ∠2 are vertically opposite angles and vertically opposite angles are equal.

∠2 = 7x + 1

∠2 = 50

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P < 4.75 represents the prices p in dollars that Paige is willing to pay for popcorn. The inequality p < 8.00 represents t
vesna_86 [32]

Answer:

1 theater

Step-by-step explanation:

Given

P --- Popcorn

P < 8.00 --- Movie

See attachment for the table that shows ticket and popcorn prices at five movie theater chains

Required

The number of theaters that supports the given inequality

The given inequality can be combined to give:

P < 4.75\ and\ P

From the table entries, only one theater supports this inequality.

Where

P = 4.25 --- Movie

P = 7.25  --- Popcorn

Which gives:

4.25 < 4.75\ and\ 7.25

7 0
3 years ago
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Vesna [10]

Answer:

Mercury is smaller than Mars

8 0
2 years ago
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Lou has a solid clay brick in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of
Rzqust [24]

The weight of solid clay brick is 66.465 ounces, if solid brick with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches and the clay weighs 1.055 ounces per cubic inch.

Step-by-step explanation:

The given is,

               A solid clay brick in the shape of a rectangular prism.

               A length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches.

               The clay weighs 1.055 ounces per cubic

Step:1

              Formula for volume of rectangular prism,

                                  Volume, V= whl...................(1)

            Where, w - Width of the rectangular prism

                          h - Height of rectangular prism

                           l - Length of rectangular prism

            From the given,

                         w = 3.5 inches

                          h = 2.25 inches

                           l =  8 inches

           Equation (1) becomes,

                                              = (3.5)(2.25)(8)

                                              = (7.875)(8)

                                              = 63

                            Volume, V = 63 cubic inches

Step:2

          Weight of brick = Volume of brick × Weight per cubic inch

                                     = (63) (1.055)

                                     = 66.465 ounces

          Weight of brick = 66.465 ounces

Result:

            The weight of solid clay brick is 66.465 ounces, if solid brick with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches and the clay weighs 1.055 ounces per cubic inch.

7 0
2 years ago
If (a-bi)^2 = 13 - 12i, what is the product of a and b?
VARVARA [1.3K]

Answer:

\large \boxed{\sf \ \ \ a\cdot b= 6 \ \ \ }

Step-by-step explanation:

Hello,

(a-bi)^2 = 13 - 12i\\\\ a^2+(bi)^2-2abi = 13-12i\\\\a^2-b^2-2abi=13-12i

Imaginary term must be the same so

-2ab=-12

2ab = 12

ab = 12/2 = 6

So the product of a and b is 6

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

6 0
3 years ago
To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of in
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Answer:

Step-by-step explanation:

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