Answer:
A = 40.0 (3 sig. fig)
C = 40
c = 15
Step-by-step explanation:
Using sin law,
sinA/15 = sin100/23
A = 40.0 (3 sig. fig)
Using angle sum of triange,
C = 180 - 40.0 - 100 = 40
Since angleA = angleC, by side equal opp angles, c = 15
Answer:
k =1
Step-by-step explanation:
Solve for k:
0.5 k + 2.5 = 2 (k + 0.5)
Expand out terms of the right hand side:
0.5 k + 2.5 = 2 k + 1
Subtract 2 k from both sides:
(0.5 k - 2 k) + 2.5 = (2 k - 2 k) + 1
0.5 k - 2 k = -1.5 k:
-1.5 k + 2.5 = (2 k - 2 k) + 1
2 k - 2 k = 0:
2.5 - 1.5 k = 1
Subtract 2.5` from both sides:
(2.5 - 2.5) - 1.5 k = 1 - 2.5
2.5 - 2.5 = 0:
-1.5 k = 1 - 2.5
1 - 2.5 = -1.5:
-1.5 k = -1.5
Divide both sides of -1.5 k = -1.5 by -1.5:
(-1.5 k)/(-1.5) = (-1.5)/(-1.5)
(-1.5)/(-1.5) = 1:
k = (-1.5)/(-1.5)
(-1.5)/(-1.5) = 1:
Answer: k = 1
Answer:
x = 8
Step-by-step explanation:
Part a: <1 and <2 are alternate exterior angles because line horizontal lines are parallel
Part b: the value of x can be calculated with the following equation
7x + 15 = 10x - 9 because alternate angles has same measure
15 + 9 = 10x - 7x
24 = 3x divide both sides by 3
8 = x
P = 2L + 2W
A = LW
Perimeter is given so we will use
The perimeter of a rectangle = 2*length + 2*width
Let suppose the width = x
Length = twice the width = 2x
the Perimeter = 72 = 2*2x + 2*x
72 = 4x + 2x
Now we have 72 = 6x, then dividing both sides by 6we get x = 12
So,
Width = 12 cm
Length is 12 x 2 = 24 cm
Answer:
you would need 36 eggs
Step-by-step explanation:
you need 36 eggs because you can put 1/12 into 12 9 times without going over and 9 times 4 is 36.