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Bumek [7]
3 years ago
10

Which angles are complementary to

Mathematics
1 answer:
Molodets [167]3 years ago
8 0
Complementary angles add up to 90°

∠BDC + ∠CDA = 90°

Answer: ∠BDC
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Solve the system of equations using substitution. y = x + 6 y = –2x – 3 (4, –11) (1, 7) (–3, 3)
sergejj [24]
The answer to the question

5 0
2 years ago
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three medians of triangle ABC
Mariana [72]

Answer:

1.y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}

2.y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}

Step-by-step explanation:

A(−3, 0), B(0, 6), and C(4, 6)

using the midpoint formula: (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}) we can find all of their midpoint which is necessary to complete question 1 and 2

Mid AB=(-1.5, 3), Mid BC=(2, 6), Mid AC=(0.5,3)

Next, we have to find the slope of from the vertex and the midpoint of each side. We use the slope formula: \frac{y_2-y_1}{x_2-x_1}.

You would get -6, 6/5, and 6/11.

Next you substitute in the coordinates for the equation of each for example: y=-6x, you switch in the set of cords AB which is (-1.5, 3). 3=-6(-1.5)+z and find that z=6, so the equation is y=-6x+6. As for the rest, repeat the same process until you find all 3 cords. You should get an answer of y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}

For question 2,

The line has to be perpendicular bisector to the midpoint, signifying that it has to split 2 angles into congruent angles and a side into half. In order to do that we need to first find the opposite reciprocal of each side's slope. Which means we need to once again use the slope formula and get the opposite reciprocal by -\frac{1}{slope}. For all the opposite reciprocal slopes you get will be incorporated into the final formulas. That gives us the slopes of -1/2, 0 and -7/6. Then do the same process of matching cords with these incomplete equations and you can find the final equations of y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}

I hope that helped with your question!! :)

Also I'm an RSM student too and I didn't know how to do them before so I searched it up.

6 0
2 years ago
Lin borrowed 950 for a new laptop. She will pay $25,80 each month for the next 48 months (2 years). Find the amount of
icang [17]

Answer:

288,40 $

Step-by-step explanation:

25,80$ / month * 48 months = 1238,40$ total payment.

1238,40$ - 950$ (borrowed) = 288,40 $ payed in interest.

4 0
2 years ago
A teacher brought some apples to distribute among students. After distributing 19 pounds of apples, 3 pounds of apples were left
ozzi

Answer:

19 pounds of apple was shared and 3 pounds of apple were left to be shared for the students

A

5 0
3 years ago
Read 2 more answers
The vertex form of the equation of a parabola is y = 4(x - 2)2 - 1. What is the standard form of the equation?
Paladinen [302]
Ok so your original equation was y=4(x-2)²-1
Therefore we need to expand the bracket to find the original equation.
To do this we need to find (x-2)²=x²-4x+4
Now we multiply this by 4 and subtract 1
4x²-16x+15 Therefore B is the answer
8 0
3 years ago
Read 2 more answers
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