The sum of the opposite interior angles is equal to the exterior angle.
So,
∠CAB + ∠ACB = ∠CBD
x + 40 + 3x + 10 = 6x
4x + 50 = 6x
2x = 50
x = 25°
∠CAB = x + 40 = 25 + 40 = 65°
Hence, the answer is D.
Answer:
84.95 with 15% : 102.87
84.95 with 20% tip: 107.34
125 with 15% tip: 143.75
125 with 20% tip: 150
12.45 with 15% tip: 14.38
12.45 with 20% tip: 14.94
Step-by-step explanation:
Take value on the vertical column and multiply it by either 1.15 or 1.2
Answer:
x = 7
Step-by-step explanation:
y = (x – 7)^2 – 3
This equation is in vertex form
y = a(x-h)^2 +k
where (h,k) is the vertex
For a vertical parabola, the line of symmetry is x=h
x = 7
Styline menswear ordered short-sleeve shirts for $23 each and long-sleeve shirts for $28.50
short-sleeve shirts for $23
long-sleeve shirts for $28.50
Total cost = $9,862.50
Let x be the number of short - sleeve
and y be the number of long - sleeve
Total shirts = 375
x + y = 375
23x + 28.50y = 9862.50
Now we solve for x
x + y = 375 ( subtract x on both sides)
So y = 375 - x
Now plug in 375 -x for y in second equation
23x + 28.50y = 9862.50
23x + 28.50(375 - x ) = 9862.50
23x + 10687.5 - 28.50x = 9862.50
subtract 10687.5 from both sides
23x - 28.50x = -825
-5.5x = -825 (divide -5.5 on both sides)
x = 150
So number of short-sleeve = 150
Answer:
125.8983
Step-by-step explanation:
Use the formula for volume of a cone: v= (1/3)(3.14)(radius squared)(height) so v = (1/3)(3.14)(20.25)(6) = 125.8983
