Answer:
x=19
Step-by-step explanation:
We know that the interior angles of a triangle add up to 180 degrees. We already have one angle, the bottom one, so let's just get that out of the picture by subtracting it from 180. The other two angles add up to be 80 degrees. What we can do is combine them together and get 4x-4=80. We have 4x because of x+3x. It equals 80 because that's what the two angles together add up to be. What we want to do now is get x by itself. Subtract 4 from both sides and get 4x=76. Now, we divide by 4, to undo multiplication. We are left with x=19, and now we have our answer.
Answer:
d. -7/25
Step-by-step explanation:
π<θ<3π/2 in third quadrant
tanθ = 4/3
sinθ = - 4/5
cosθ = - 3/5
cos 2θ = cos²θ - sin²θ = (- 3/5)² - (- 4/5)² = 9/25 - 16/25 = - 7/25
Answer:
(b) -25/35 and 55/-77
Step-by-step explanation:
-25/35 and 55/-77
Simplify the fractions.
= -5/7 and 5/-7
Sets of 7 with 1 left over : 8,15,22,29,36,43,50,57,64,71,78,85,92,99,106,113,120,127,134,141,148,155,162,169,176,183,190,197
sets of 8 with 7 left over :
15,23,31,39,47,55,63,71,79,87,95,103,111,119,127,135,143,151,159,167,175,183,191,200
sets of 15 with 3 left over : since we have 183 in both the previous ones we did....lets try it...183/15 = 12 R 3
so ur answer is 183 spoons <== there is probably an easier way to do this, I just dont know it
