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3 years ago

Examine the diagram.

Mathematics

2 answers:

Murrr4er [49]3 years ago

5 0

Answer:

1. the supplement of

2. 117

Step-by-step explanation:

got it right

BabaBlast [244]3 years ago

5 0

Answer:

The m∠1 is

<h3><u>the supplement of</u></h3>

the 63° angle.

What is the measure of angle 1?

degrees

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-8.46 greater or less than 5.31

Gekata [30.6K]

Hello.

-8.46 is less than 5.31, because it is negative.

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3 years ago

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Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)= 0

weqwewe [10]

Answer:

Step-by-step explanation:

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2 years ago

Name the plane that contains points A, D, and E.

Verdich [7]

Answer:

Plane T

Step-by-step explanation:

The given points A, D, and E are shown as being on the plane T as follows

Point a lays on the boundary of the boundary between plane S and plane T

Points D and E are points on a line DE that is on the plane T

Therefore, given that the line DE and the point A all lay on the same plane T, the plane that contains points A, D, and E, is plane T.

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3 years ago

Solve for x & y solve x = 3 + yy = -2x + 9

sergey [27]

x = 3 + y Eqn(1)

y = -2x + 9 Eqn(2)

Let us solve the system of equations with the substitution method

x - 3 = y (Subtracting 3 from both sides of the Eqn(1))

Replacing y = x - 3 in Eqn (2), we have:

x - 3 = -2x + 9

x = -2x + 9 + 3 (Adding 3 to both sides of the equation)

x + 2x = 9 + 3 (Adding 2x to both sides of the equation)

3x = 12 ( Adding like terms)

x = 12/3 (Dividing by 3 on both sides of the equation)

x = 4

Replacing x=4 in Eqn(1), we have:

4 = 3 + y

4 - 3 = y (Subtracting 3 from both sides of the equation)

y=1

The answers are:

x= 4 and y=1

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1 year ago

The vertices of a square CDEF are C(1,1), D(3,1), E(3,-1) and F(1,-1). What formulas prove that the diagonals are congruent perp

Oxana [17]

To prove that the diagonals are congruent, you need to formula to compute the distance between two points:

$d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}$

Using that formula, you may prove that $d(C,E) = d(D,F)$ , which means that the two diagonals have the same length.

To prove that they are perpendicular, you need the formula to compute the slope of a segment. The slope, knowing the enpoints, is given by

$m = \cfrac{\Delta y}{\Delta x} = \cfrac{A_y-B_y}{A_x-B_x}$

You can use this formula to prove that

$m_{CE} = -\cfrac{1}{m_{DF}}$

In fact, if one slope is the opposite of the reciprocal of the other, the two segments are perpendicular.

Finally, to prove that they bisect each other, you first need to find the point where they meet. First of all, you need to find the line the segments lie on: the formula is

$y-y_0 = m(x-x_0)$

where $(x_0,y_0)$ is one of the points belonging to the line, and you already know how to find the slope. Then, you find the point of intersection, say A, by solving the system involving the two lines:

$\begin{cases} y= m_{CE}x+q_{CE}\\ y = m_{DF}x+q_{DF} \end{cases}$

And use again the formula for the distance between two points to prove that

$d(A,C) = d(A,D) = d(A,E) = d(A,F)$

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3 years ago