Answer:
Step-by-step explanation:
From the previous answers you know the angles and side lengths of the triangle:
α = 60°
Ф = 30°
and the side lengths:
1,2 and √3.
Remember:
sin = opposite / hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent
Now you can read off from the triangle:
sin 30° = 1/2
cos 60° = 1/2
sin 60° = √3/2
cos 30° = √3/2
tan 30° = 1/√3
tan 60° = √3
First of all, we need to know what is supplementary angle is. It's means that two angles add together to get 180° angle. For examples, 135° and 45° angles add together called supplemtary angles.
Now, we know Supplementary angles with measures (2x+4) and (3x+1), so
(2x+4)+(3x+1)=180
2x+4+3x+1=180
Combining like terms
2x+3x+4+1=180
5x+5=180
Subtract 5 to each side
5x+5-5=180-5
5x=175
Divided 5 to each side
5x/5=175/5
x=35°
Next, find the measure of two angles by substitute x=35° with (2x+4) and (3x+1), so
2x+4
=2(35)+4
=70+4
=74°
(3x+1)
=3x+1
=3(35)+1
=105+1
=106°. As a result, the two supplementary angle are 106° and 74°. Hope it help!
Answer:
D is the right answer.
Step-by-step explanation:
Answer:
4e + 6f - 14g
Step-by-step explanation: