They both are complementary angles i.e their sum must equals 90°
4x+ 31 + 6x + 39 = 90
10x + 70 = 90
10x = 90-70
10x = 20
x = 2
we have to find angle ADC
just put the value of x in that expression for that angle.
angle ADC = 6x + 39 = 6 (2)+39 = 12 + 39 = 51°
Answer:
12.5 servings
Step-by-step explanation:
Looks more like Trig than Algebra II
They want us to apply the sum angle formula to 
5π/6 is 150°; I find it easier to think in degrees.
When the tangent of x is 3/4 that's a right triangle with opposite 3, adjacent 4 so hypotenuse 5. So a sine of 3/5 and a cosine of 4/5, both positive because we're told x is in the first quadrant.
The sine sum angle formula is
We know sin 150° = sin 30° = 1/2 and cos 150° = - cos 30° = -√3/2
Third choice
Answer:15
Step-by-step explanation: So we have this triangle but it's not a right triangle right so we can't just Pythagorean theorem our way out. So we have to treat the sizes as ratios. 2:12 is the ratio of the smaller triangle. 12 increases to 78 which means side 2 has to increase as well by the same ratio so 78/12 = 6.5 and 6.5*2=13 so PQ is 13 and to find NQ just add NP and PQ or 2+13 = 15
Hope it helps :)
