Observation one
From the markings on the diagram <1 = 60o The left triangle is at least isosceles. Therefore equal sides produce equal angles opposite them.
Now we have accounted for 2 angles that are equal (each is 60 degrees) and add up to 120 degrees. The third angle (angle 2) is found from this equation.
<1 + 60 + <2 = 180 degrees. All triangles have 180 degrees.
60 + 60 + <2 = 180
Observation 2
<2 = 60 degrees.
120 + <2 = 180
m<2 = 180 - 120
m<2 = 60 degrees.
Observation 3
m<3 = 120
<2 and <3 are supplementary.
Any 2 angles on the same straight line are supplementary
60 + <3 = 180
<3 = 180 - 60
<3 = 120
Observation 4
m<4 = 40 degrees.
All triangles have 180 degrees. No exceptions.
m<4 + 20 +m<3 = 180
m<4 + 20 + 120 = 180
m<4 + 140 = 180
m<4 = 180 - 140
m<4 = 40
The double angle formula for the sine is
The right hand side is exactly your expression, where 
So, rewriting the expression from right to left, we have
Answer:
15 inches
Step-by-step explanation:
Answer:
2.) 145°
4.) 50°
Step-by-step explanation:
2.) First find the measure of Angle Y, since they are supplementary;
∠Z + ∠Y = 180
35 + ∠Y = 180
∠Y = 180 - 35
∠Y = 145°
So ∠X would be 145° as well
4.) First find the measure of Angle F, since they are supplementary;
∠C + ∠F = 180
130 + ∠F = 180
∠F = 180 -130
∠F = 50°
So ∠E would be 50°
(I didn't explain it much in detail, since this question is similar to the previous that i answered :)
Hope this helps!
Answer:
Which number line represents the solution set for the inequality -4(x + 3) S-2 - 2x?
-7 -6 -5 -4 -3 -2 -1 0
1
2
3
4
5
6
7
+ + +
-7 -6 -5 -4 -3 -2 -1 0
+
1
+
2
+
3
0 1 2
Step-by-step explanation:
