Answer:
Step-by-step explanation:
Given:
Angles of triangle: 105° and 55°
is the missing angle of the triangle.
We know that sum of all three angles of a triangle =180°
∴
Subtracting 160° from both sides.
∴
Call those two angles x and y, where x is the larger one.
If they are complementary, then their sum equals 90°:
x + y = 90° (i)
Also, the ratio between x and y is 3 : 2, so
x 3
—— = ——
y 2
Product of the extremes = product of the means:
2x = 3y
2x – 3y = 0 (ii)
Now, just solve this system of equations:
x + y = 90° (i)
2x – 3y = 0 (ii)
Solve it with elimination. Since you want to know the value of the larger angle, which is x, then eliminate the variable y by doing the following:
Multiply the equation (i) by 3,
3x + 3y = 270° (iii)
2x – 3y = 0 (ii)
then add both equations, so you cancel out the variable y:
3x + 2x + 3y – 3y = 270° + 0
3x + 2x = 270°
5x = 270°
270°
x = ———
5
x = 54° <——— this is the measure of the larger angle.
I hope this helps. =)
Tags: <span><em>system of linear equations elimination method solve complementary angles algebra geometry</em>
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Answer:
The median is 2.65 seconds
Step-by-step explanation:
So the median is the middle number. First of all, we have to sort them into ascending order.
2.35, 2.38, 2.43, 2.65, 2.69, 2.78, 10,91.
Since this is median and not mean, we don't need to get rid of outliers / anomalies.
The middle number in that would be 2.65.
Answer:
-5
Step-by-step explanation:
Because y=Mx=b and m is the slope
Answer:
265.24
Step-by-step explanation:
The sqrt is at the bottom of the picture.