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lesantik [10]
3 years ago
13

I need to set up a 2 column proof for this problem.

Mathematics
1 answer:
dalvyx [7]3 years ago
8 0

they are parallel to each other so find it out from there

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Write an equation of a line that is perpendicular to the line 2x-3y+15=0
loris [4]

Answer:

y =- \frac{3}{2} x+1

Step-by-step explanation:

The equation of the given straight line is 2x - 3y + 15 = 0.

Now, we can express the equation as 3y = 2x + 15

⇒ y = \frac{2}{3} x+ 5 ..........(1)

The equation is in slope-intercept form and the slope is =\frac{2}{3}

Therefore, the equation of a straight line which is perpendicular to (1) is  

y = -\frac{3}{2} x+c {Where c is any constant}

{Since, the product of slopes of two perpendicular straight lines is -1}

Now, putting c = 1, we get the equation as y =- \frac{3}{2} x+1. (Answer)

4 0
3 years ago
What is the area of the trapezoid? The diagram is not drawn to scale.
loris [4]

Answer:

Area of trapezoid = 21 cm²

Step-by-step explanation:

Given:

Length of rectangular shape = 4 cm

Width of rectangular shape = 3 cm

Base of triangle = 3 cm

Number of triangle = 3 cm

Find:

Area of trapezoid

Computation:

Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]

Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]

Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]

Area of trapezoid = 12 + 9

Area of trapezoid = 21 cm²

6 0
3 years ago
If x + y =6, y +z = 7 and z + x =9, what is the average (arithmetic mean) of<br> x,y and z?
nadya68 [22]

Answer:

\frac{22}{3}

Step-by-step explanation:

x + y + y + z + z + x = 2x + 2y + 2z = 22

x + y + z = 22

22 ÷ 3 = \frac{22}{3}

8 0
3 years ago
Which sets of numbers are closed under division? Choose all answers that are correct. A. rational numbers B. integers C. {–1, 0,
kotegsom [21]
The answer to your question is A. rational numbers.

Rational numbers are closed under any set of operations.

Integers are not closed under division because 1/2 is not an integer.

The set {-1, 0, 1} is also not closed under division because -1/5 does not fall in that set.

Whole numbers are not closed under division because 5/3 will produce a number that is not a whole integer.

Your answer is A. rational numbers.
3 0
4 years ago
Read 2 more answers
What is the Gcf for 39,6
andreev551 [17]

Answer:

The greatest common factor of these two numbers is 3

Step-by-step explanation:

To find this, look for the highest number that both can be divide by to get whole numbers.

39/3 = 13

6/3 = 2

6 0
3 years ago
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