Answer:
M(5,2)
Step-by-step explanation:
We use the midpoint rule:
We just have to find the arithmetic mean of the x and y-coordinates.
The endpoints of CD are given as C(3,−5) and D(7, 9).
We substitute these values to get:
Therefore the coordinates of the midpoint M of CD are (5,2)
First, lets assign a letter to each angle:
a = smallest angle
b = largest angle
c = 3rd angle
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The question tells us the following:
Therefore:
We are also told:
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Now lets form three equations by swapping out the angles with the correlating letter:
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Remember, angles in a triangle add up to 180, so we can make another equation:
Now substitute in the values in terms of a, for b and c - and then solve for a. <em>(to solve the equation, everything has to be in the same terms, which is a in this case)</em>:
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Now that we know what a is, we can work out what b and c is, by substituting in the value of a into their equations:
<u>Value for b:</u>
<u>Value for c:</u>
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a = smallest angle
b = largest angle
c = 3rd angle
So:
30 = smallest angle
90 = largest angle
60 = 3rd angle
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<h3>Answers:</h3>The measure of the angles from smallest to biggest are:
30°,
60°, and
90°
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