Plug the value of x in the equation
2(6 - y) = 8
12 - 2y = 8
-2y = -4
y = 2
1. M(x)=12x, with domain x < or =30, x a natural number {1,2,3,...30}
2. T(y)=12*30+15y
T(y)=360+15y is the function which gives the wage after 30 hours of regular time and y of overtime.
3. T(y)=510
360+15y=510
15y=510-360=150
y=10 hours of overtime (and 30 of regular time.
Answer:
sqrt7/4
Step-by-step explanation:
sin is opposite/hypotenuse which means sqrt63/12 then sqrt63=3sqrt 7 and simplifies get (sqrt7)/4 Done!
X = 10
The triangles are similar by SAS, so we can set up a proportion of their sides.
9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2
Reduce
3/8 = 12/3x+2
Cross multiply
3(3x+2) = 12*8
Distribute and multiply
9x + 6 = 96
Subtract 6
9x = 90
Divide by 9
x = 10
Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
Answer: The angles inside a triangle are called interior angles. ... The three interior angles in a triangle will always add up to 180°. At each corner the exterior and interior angles are on a straight line, so at each corner these two angles add up to 180°.
Step-by-step explanation:
Sal proves that the angles of an equilateral triangle are all congruent (and therefore they all measure 60°), and conversely, that triangles with all congruent angles are equilateral.
