9514 1404 393
Answer:
angles (W, X, Y) = (77°, 62°, 41°)
Step-by-step explanation:
<u>Given</u>:
ΔWZY
∠W = 2(∠Y) -5°
∠X = ∠Y +21°
<u>Find</u>:
∠X, ∠Y, ∠W
<u>Solution</u>:
Using angle measures in degrees, we have ...
∠X + ∠Y + ∠Z = 180
(∠Y +21) +∠Y + (2(∠Y) -5) = 180
4(∠Y) +16 = 180 . . . . . simplify
∠Y +4 = 45 . . . . . . . . . divide by 4
∠Y = 41 . . . . . . . . . . . . subtract 4
∠W = 2(41) -5 = 77
∠X = 41 +21 = 62
The angle measures of angles (W, X, Y) are (77°, 62°, 41°), respectively.
Answer:

Step-by-step explanation:
sin(
)
using the sides of the 30- 60- 90 triangle
with legs 1,
and hypotenuse 2 , then
= 30° and
sin30° = 
I believe that number would be 6.
1/3n-12= -10
+12 +12
_________
1/3n = +2
x3 x3
_________
n = 6
Answer:
-199
Step-by-step explanation:
- put -6 in place of x in equation
Answer:
x = - 8
Step-by-step explanation:
To solve for x, isolate it by "moving" everything else over to the other side. This is done in reverse BEDMAS order using the reverse operations of number you want to move.
3 (2x-1 ) +7 = - 44 Simplify first using distributive property over the brackets
6x - 3 + 7 = - 44 Combine like terms, terms that have the same variables
6x + 4 = - 44
6x + 4 - 4 = - 44 - 4 Subtract 4 from both sides to cancel it out on the left side
6x = - 48
6x/6 = - 48/6 Divide by sides by 6 to cancel out the 6 from 6x
x = - 8 Final answer