Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
so Sin(x) = d/f
Cos(x) = e/f
Tan(x) = d/e
got it? :)
The measures of both the angles are 163 degrees and 17 degrees
<h3><u>Solution:</u></h3>
Given that two angles are supplementary
Let one of the angle be "x"
Let the other angle be "y"
Two angles are supplementary when add up to 180 degrees
x + y = 180 ----- eqn 1
Given that One angle measures 10 more than 9 times the other
x = 10 + 9y ----- eqn 2
Substitute eqn 2 in eqn 1
10 + 9y + y = 180
10 + 10y = 180
10y = 180 - 10
10y = 170
<h3>y = 17</h3>
Substitute y = 17 in eqn 2
x = 10 + 9(17)
x = 10 + 153
<h3>x = 163</h3>
Thus the measures of both the angles are 163 degrees and 17 degrees
The answer is y=-2/6x + 5
9514 1404 393
Answer:
Step-by-step explanation:
These "special" right triangles have side length ratios that it is useful to remember.
<u>45°-45°-90° triangle</u>
Sides have the ratios 1 : 1 : √2. That is, x is √2 times as long as the side length shown as 18.
x = 18√2
<u>30°-60°-90° triangle</u>
Shortest to longest, sides have the ratios ...
1 : √3 : 2
That is, y is √3 times the length of the side marked 18, and z is 2 times the length of the side marked 18.
y = 18√3
z = 2·18 = 36
Answer:
25, 34, 43
Step-by-step explanation:
its +9 per number