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Anuta_ua [19.1K]
3 years ago
15

Given the figure what is the value of x show your work

Mathematics
1 answer:
grandymaker [24]3 years ago
5 0

51 + 3x+5 = 107

Simplify the left side:

3x + 56 = 107

Subtract 56 from both sides:

3x = 51

Divide both sides by 3:

x = 51 / 3

x = 17

Angle F and the outside angle of 107, need to equal 180 degrees.

F - 180 - 107 = 73 degrees.

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andrey2020 [161]

Answer:

0.4 is equal to the fraction <u>2/5</u>

Step-by-step explanation:

0.4 = 4/10

= 2/5

Thus, 0.4 = 2/5

Hope it helps.

8 0
3 years ago
Read 2 more answers
a charitable organization in Lanberry is hosting a black tie benefit. Yesterday, the organization sold 55 regular tickets and 49
jenyasd209 [6]

Answer:

  • regular: $67
  • VIP: $122

Step-by-step explanation:

Let r and v represent the costs of a regular and VIP ticket, respectively. The two sales can be represented by ...

  55r +49v = 9663

  79r +84v = 15541

We can subtract 7 times the second equation from 12 times the first to eliminate the v terms.

  12(55r +49v) -7(79r +84v) = 12(9663) -7(15541)

  660r +588v -553r -588v = 115,956 -108,787 . . . . . eliminate parentheses

  107r = 7169 . . . . . . . simplify

  r = 67 . . . . . . . . . . . divide by 107

Using this value in the first equation, we have ...

  55(67) +49v = 9663

  v = 5978/49 . . . . . . . . . subtract 3685, divide by 49

  v = 122

A regular ticket costs $67; a VIP ticket costs $122.

_____

<em>Additional comment</em>

When using "elimination" to solve a system of equations, you're looking for coefficients of the same variable that are related by small factors. Preferably, one coefficient is the same as, or a small multiple of, the other. Here, 55 and 79 (the coefficients of x) are not related by an integer, or a couple of small integers. On the other hand, the y-coefficients 49 and 84 have a common factor of 7, and are in the ratio 7:12, a pair of small numbers. This is why we chose to eliminate the y-variable.

The x-variable could be eliminated using 55 and -79 as multipliers of the equations. This results in larger numbers, and more chance for error. (Errors tend to creep in when computing or copying large numbers.)

Of course, any of several machine methods could be used to solve these equations, including graphing and matrix-solving functions. Here, we tried to honor the requirement to solve by elimination.

7 0
2 years ago
Factor completely 2x^3 + 14x^2 + 6x + 42.
masha68 [24]
Hello,

2x^3+14x^2+6x+42=2x^2(x+7)+6(x+7)
=(x+7)(2x²+6)
=2(x+7)(x²+3)  in IR.

or In C  2(x+7)(x-i√3)(x+i√3)
4 0
3 years ago
The length of a rectangular box is less than 2 inches more than the width. if the length is 7 inches, what is the area of the bo
kifflom [539]
They tell you that the length is 7 inches and that it is 2 inches more than the width therefore you can conclude that: length = 7 and the width = 5
you can plug the values given into the formula listed below:

A = lw
A = 7 x 5
A = 35

hope this helps :)
5 0
2 years ago
Read 2 more answers
Can someone tell me what is 9x46288
Bad White [126]
Answer: 416,592

Hope this helps!
4 0
1 year ago
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