Ratios can be written as fractions.....so the ratio of black keys to white keys is 6:8...which can be written as 6/8....which reduces to 3/4...hence the ratio simplified is 3:4......which is also written as 3/4 and as 3 to 4
The best way to do this is to draw a picture of ΔFKL and include line segment KM that is perpendicular to FL. This creates ΔFKM which is a 45°-45°-90° triangle and ΔLKM which is a 30°-60°-90° triangle.
Find the lengths of FM and ML. Then, FM + ML = FL
<u>FM</u>
ΔFKM (45°-45°-90°): FK is the hypotenuse so FM =
<u>ML</u>
ΔLKM (30°-60°-90°): from ΔFKM, we know that KM =
, so KL =
<u>FM + ML = FL</u>

= 
Answer: 4
Step-by-step explanation: 1) You need to first understand the question and a way to do that is to list plainly the information given.
2) Let the number be (X)
3) For the equation from the first sentence given; 3(9x-1)
4) From the second sentence; 7(7+2x)
5) Equating both sentences together, since the question says they are the same 3(9x-1) = 7(7+2x)
6) Opening the bracket/expanding the equation.... 27x-3=49+14x
Solving further we will have 13x = 52
X= 52/13
= 4
Answer:
C and D
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (9, 3) ← 2 points on the line
m =
=
= 
Using (a, b ) = (9, 3 ) , then
y - 3 =
(x - 9) → C
Using (a, b ) = (- 3, - 6 ), then
y - (- 6) =
(x - (- 3) ) , that is
y + 6 =
(x + 3) → D
Answer:
the answer is 73
Step-by-step explanation:
H0: μ = 72
H1: μ ≠ 72