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Sati [7]
2 years ago
6

Pleeeeeeeeeeesease helllllllp meee

Mathematics
1 answer:
andrew-mc [135]2 years ago
3 0

Answer:

This is a vertical angle theorem

Step-by-step explanation:

Vertical angles are a pair of opposite angles formed by intersecting lines. In the figure, ∠1 and ∠3 are vertical angles. ... Vertical angles are always congruent . So, in this figure, ∠1≅∠3 and ∠2≅∠4 .

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Find the selling price of a $36 item after a 50% markup
agasfer [191]

Answer:

$54

Step-by-step explanation:

36 divided by 2= 18

$36+$18=$54

7 0
1 year ago
Whats the answer to this ?
8090 [49]

Answer: 312 ft^{2}

Step-by-step explanation:

Area of Rectangle = bh = 16 ft x 18 ft  = 288 ft^{2}

Area of Triangle = 1/2 bh = 1/2 x (16-12) ft x (6) ft x 2 (There's 2 triangles) = 24 ft^{2}

24 ft^2 + 288 ft^2 = 312 ft^2

8 0
2 years ago
determine the point of intersection of the following pair of lines ............2x-3y-4=-13 and 5x=-2y+25. 3x+2y-7=0 and 2x=12-5y
grandymaker [24]

Answer:

  1. (x, y) = (3, 5)
  2. (x, y) = (1, 2)

Step-by-step explanation:

A nice graphing calculator app makes these trivially simple. (See the first two attachments.) It is available for phones, tablets, and as a web page.

__

The usual methods of solving a system of equations involve <em>elimination</em> or <em>substitution</em>.

There is another method that is relatively easy to use. It is a variation of "Cramer's Rule" and is fully equivalent to <em>elimination</em>. It makes use of a formula applied to the equation coefficients. The pattern of coefficients in the formula, and the formula itself are shown in the third attachment. I like this when the coefficient numbers are "too messy" for elimination or substitution to be used easily. It makes use of the equations in standard form.

_____

1. In standard form, your equations are ...

  • 2x -3y = -9
  • 5x +2y = 25

Then the solution is ...

  x=\dfrac{-3(25)-(2)(-9)}{-3(5)-(2)(2)}=\dfrac{-57}{-19}=3\\\\y=\dfrac{-9(5)-(25)(2)}{-19}=\dfrac{-95}{-19}=5\\\\(x,y)=(3,5)

__

2. In standard form, your equations are ...

  • 3x +2y = 7
  • 2x +5y = 12

Then the solution is ...

  x=\dfrac{2(12)-5(7)}{2(2)-5(3)}=\dfrac{-11}{-11}=1\\\\y=\dfrac{7(2)-12(3)}{-11}=\dfrac{-22}{-11}=2\\\\(x,y)=(1,2)

_____

<em>Note on Cramer's Rule</em>

The equation you will see for Cramer's Rule applied to a system of 2 equations in 2 unknowns will have the terms in numerator and denominator swapped: ec-bf, for example, instead of bf-ec. This effectively multiplies both numerator and denominator by -1, so has no effect on the result.

The reason for writing the formula in the fashion shown here is that it makes the pattern of multiplications and subtractions easier to remember. Often, you can do the math in your head. This is the method taught by "Vedic maths" and/or "Singapore math." Those teaching methods tend to place more emphasis on mental arithmetic than we do in the US.

7 0
3 years ago
What is the recommended daily amount of protein
vaieri [72.5K]

Answer:

the recommended protein intake is 100 grams a day. Although, a study has been conducted by researches that proved the average human takes in approximately only 70 grams a day.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which of the numbers below is less than zero? Select all that apply.
SSSSS [86.1K]

Answer:

-13 is less than zero in the options

7 0
2 years ago
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