The angles of a triangle all add up to 180°. In fact, it can be generalized that the sum of the interior angles of an n-sided polygon is equal to 180°(n–2).
A right triangle must have a right angle, which is equal to 90°. If the other angle is 42°, that means that we can find the third angle by subtracting 90° + 42° from 180°.
x = 180° – (90° + 42°) = 48°
Answer:
Y=77/x
Explanation:
Y varies inversely with x meaning

adding a proportionality constant gives

Now, we are told that y = 11 and x = 7; therefore, the above gives

Solving for k gives

Therefore, the function that models the inverse variation is

which is our answer!
<h3>
Answer: (2, 3)</h3>
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Explanation:
1/4 = 0.25 is the scale factor
Multiply this with each coordinate of the given point
0.25*8 = 2 is the new x coordinate
0.25*12 = 3 is the new y coordinate
So (8,12) moves to (2,3) after applying the dilation
The scale factor k makes 0 < k < 1 true, so the point is closer to the origin after applying the dilation.
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Side note: this trick of multiplying the scale factor by each coordinate only works if the dilation is centered at the origin. For any other center, you'll need to apply a translation first, dilate, then translate back again.
Answer:

Step-by-step explanation:
Given
-
× -
( negative times negative = positive )
=
×
( cancel the 4 on the numerator and denominator )
= 
Answer:
he is the answer
Step-by-step explanation: