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Gennadij [26K]
3 years ago
6

In the figure, j∥k and m∠1 = 63°.

Mathematics
1 answer:
trapecia [35]3 years ago
5 0

Answer:

The answer is 117

Step-by-step explanation:

This  is because m<1 is a linear pair with m<4 and it is said that linear pairs always add up to 180. so, 180-63=117.

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the point 3,2 lies on a circle.what is the exact length of the radius of this circle if the center is located at (-1,-4)
Crazy boy [7]
You can use the distance formula to solve this.

Distance Formula:
d = \sqrt{(X_2 -X_1)^2 + (Y_2 - Y_1)^2}

I am going to use point (3,2) as point 1 and (-1,-4) as point 2
Insert the points into the formula
d = \sqrt{(X_2 -X_1)^2 + (Y_2 - Y_1)^2}
d = \sqrt{((-1) - 3)^2 + ((-4) - 2)^2}
Solve:
d = \sqrt{((-1) - 3)^2 + ((-4) - 2)^2}
d = \sqrt{(-4)^2 + (-6)^2}
d = \sqrt{16 + 36}
d = \sqrt{52}
d = \sqrt{52} = \sqrt{4}\sqrt{13}
d = \sqrt{52} = 2 \sqrt{13}
d = 2 \sqrt{13}
radius = 2 \sqrt{13} = 7.2111


5 0
4 years ago
Given y = a(x - h)^2 + k, p = <br> A. a <br> B. 4a <br> C. 1/4a
Flauer [41]

9514 1404 393

Answer:

  C.  1/(4a)

Step-by-step explanation:

We assume you're comparing the vertex form ...

  y = a(x -h)^2 +k

to the form used to write the equation in terms of the focal distance p.

  y = 1/(4p)(x -h)^2 +k

That comparison tells you ...

  a = 1/(4p)

  p = 1/(4a) . . . . . . multiply by p/a; matches choice C

__

<em>Additional comment</em>

When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).

When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator:

  p=\dfrac{1}{4a}

8 0
3 years ago
Triangle QRS has been translated to create triangle Q'R'S'. RS= R'S' = 10 units, QS= Q'S' = 5 units, and angles Q and Q' are bot
const2013 [10]
It would be ASA(angle side angle)

if 2 angles and an included side are congruent, then the two triangles are congruent.
5 0
3 years ago
Read 2 more answers
You made two deposits to your bank account this month. One deposit was $17.92, and the second deposit was $15.33. Your balance a
stiks02 [169]

X+17.92+15.33=72.31

                        -17.92

                        -15.33

x= 39.06

The amount you started with was $39.06.

Hope this helps ;}

6 0
3 years ago
Read 2 more answers
Which description best fits the graph
Masteriza [31]
Decreasing then increasing, y goes down then y goes back up
7 0
3 years ago
Read 2 more answers
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