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alex41 [277]
3 years ago
9

A secant and a tangent meet at a 90° angle outside the circle. What must be the difference between the measures of the intercept

ed arcs?
Mathematics
1 answer:
ra1l [238]3 years ago
8 0
Just took the test, correct answer 180
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Please solve the problem ​
jek_recluse [69]

Treat the matrices on the right side of each equation like you would a constant.

Let 2<em>X</em> + <em>Y</em> = <em>A</em> and 3<em>X</em> - 4<em>Y</em> = <em>B</em>.

Then you can eliminate <em>Y</em> by taking the sum

4<em>A</em> + <em>B</em> = 4 (2<em>X</em> + <em>Y</em>) + (3<em>X</em> - 4<em>Y</em>) = 11<em>X</em>

==>   <em>X</em> = (4<em>A</em> + <em>B</em>)/11

Similarly, you can eliminate <em>X</em> by using

-3<em>A</em> + 2<em>B</em> = -3 (2<em>X</em> + <em>Y</em>) + 2 (3<em>X</em> - 4<em>Y</em>) = -11<em>Y</em>

==>   <em>Y</em> = (3<em>A</em> - 2<em>B</em>)/11

It follows that

X=\dfrac4{11}\begin{bmatrix}12&-3\\10&22\end{bmatrix}+\dfrac1{11}\begin{bmatrix}7&-10\\-7&11\end{bmatrix} \\\\ X=\dfrac1{11}\left(4\begin{bmatrix}12&-3\\10&22\end{bmatrix}+\begin{bmatrix}7&-10\\-7&11\end{bmatrix}\right) \\\\ X=\dfrac1{11}\left(\begin{bmatrix}48&-12\\40&88\end{bmatrix}+\begin{bmatrix}7&-10\\-7&11\end{bmatrix}\right) \\\\ X=\dfrac1{11}\begin{bmatrix}55&-22\\33&99\end{bmatrix} \\\\ X=\begin{bmatrix}5&-2\\3&9\end{bmatrix}

Similarly, you would find

Y=\begin{bmatrix}2&1\\4&4\end{bmatrix}

You can solve the second system in the same fashion. You would end up with

P=\begin{bmatrix}2&-3\\0&1\end{bmatrix} \text{ and } Q=\begin{bmatrix}1&2\\3&-1\end{bmatrix}

3 0
3 years ago
7 is equal to what fraction
Hatshy [7]

Answer:

7/1

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A bag contains 5 red crayons, 10 yellow crayons and 10 green crayons. What is the probability of choosing a green crayon from th
jeyben [28]
Add all the crayons together
will give you 25
green crayons are 10
so 10/25
5 0
3 years ago
Read 2 more answers
A(n) ________ represents a three-dimensional figure with three separate views such as the top view, front view, and right-side v
taurus [48]

Answer: b

Step-by-step explanation:

An orthographic drawing is made up of three 2D views of a 3D object.

5 0
3 years ago
Is 2/3 terminating or repeating decimal
LenaWriter [7]
It’s repeating it is about 0.66666666666
3 0
3 years ago
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