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slava [35]
2 years ago
11

Geometry help please!! 20 points

Mathematics
1 answer:
vekshin12 years ago
6 0

Answer:

Step-by-step explanation:

Opposite angles of a cyclic quadrilateral are supplementary, so <u>(6x+72)+3x=180</u>

<u />(6x+72)+3x=180\\9x+72=180\\9x=108\\x=12

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True all table does not need to include numerical data 
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3 years ago
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Estimate the solution of the system x+y=4 2x-y=6 by sketching a graph of each linear function. Then solve the system algebraical
Juli2301 [7.4K]

Answer:

(10/3, 2/3)

Step-by-step explanation:

You may find it easier to write these two equations x+y=4 2x-y=6 in a column:

x+y=4

2x-y=6

Adding these together will eliminate y:

3x = 10.  Then x = 10/3.

Substituting 10/3 for x in the first equation results in:

10/3 + y = 4

Clear fractions by multiplying all three terms by 3:

10 + 3y = 12

Then 3y = 2, and y = 2/3.

The solution is (10/3, 2/3)

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3 years ago
The owner of a furniture store decides to reduce the price of a sofa from $800 to $560. By what percentage was the price of the
KIM [24]

The percentage that the store has taken off would be 30%.

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4 years ago
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Tom [10]

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (5, -3) and (-2, 9). Substitute:

m=\dfrac{9-(-3)}{-2-5}=\dfrac{12}{-7}=-\dfrac{12}{7}\\\\y-(-3)=-\dfrac{12}{7}(x-5)\\\\\boxed{y+3=-\dfrac{12}{7}(x-5)}

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4 years ago
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Standard form of a line passing through points (1, 3) and (-2, 5)
____ [38]

Answer:

<h2>2x + 3y = 33 </h2>

Step-by-step explanation:

As we move from (-2, 5) to (1, 3), x increases by 3 and y decreases by 2.

Hence, the slope of this line is m = rise / run = -2/3.

Start with the slope-intercept form y = mx + b.

Substitute 3 for y and 1 for x and -2/3 for m:

3 = (-2/3)(1) + b.

Remove fractions by mult. all three terms by 3:

9 = -2 + b, so b = 11, and y = (-2/3)x + 11

Again, mult. all three terms by 3:

3y = -2x + 33, or, in standard form,

<h2>2x + 3y = 33 </h2>
6 0
3 years ago
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