Supplementary angles by definition means the sum is 180.
From that knowledge we can write up some equations.
Let angle 1 = x, and angle 2 = y
x + y = 180
"The larger of two supplementary angles measures 20° less than four times the measure of the smaller angle"
(Let x be the larger angle)
x+20 = 4y
Since there are two different equations, and two variables, this means we have a set of simultaneous equations.
We can solve this via the substitution method or the elimination method.
I choose to solve it via the substitution method cause of personal preference.
x + y = 180 => x = 180- y
x+20 = 4y => x = 4y - 20
Make them equal each other..
180 - y = 4y - 20
200 = 5y
40 = y
Now that we know y we can sub it into any equation to find x
x + 20 = 4y
x + 20 = 4(40)
x + 20 = 160
x = 140
So the angles are 40° and 140°
<u>Answer</u>:
angle B = 43° || c = 36.9 || b = 25.2
<u>Explanation</u>:
<em>using sohcahtoa method:</em>
angle B = 180° -90° - 47° = 43°
I'm not sure if you used the euro sign accidentally or what but this is how to increase 64 by 70%
divide 64 by 10.
6.40
then multiply it by 7.
44.80
then add 44.8 to your original number. (64)
the answer is:
108.8
If you did put that sign there purposely and if it means something then I don't know if it matters or if this is right.
Answer:
Option D
Step-by-step explanation:
A third of a shipment of books is 28 pounds. <u>Assuming that 'f' will be the total weight of the entire shipment,</u> we would divide 'f' by 3 to get 28.
The answer should be D.
Answer:
X = 18
Y = 9√3
Step-by-step explanation:
use sin equation for right angle triangle
The sine of the angle
= ( the length of the opposite side ÷ the length of the hypotenuse.)
according to this question,
sin 30 = 9 / X
1/2 = 9 / X
X = 18
use cosine to find y
The cosine of the angle
= (the length of the adjacent side ÷ the length of the hypotenuse.)
cos 30 = y/x
√3/2 = y/ 18
y = 9 ✓3
