Answer:
Step-by-step explanation:
Given:
m<FGK = (7w + 3)°
m<FGH = 104°
angle bisector of <FGH = GK
Required:
Value of w
SOLUTION:
Since GK bisects angle FGH, it divides the angle into two equal parts. Therefore, the following equation can be generated to find the value of w:
m<FGH = 2*m<FGK
(substitution)
Divide both sides by 2
Subtract 3 from each side
Divide both sides by 7
Answer:
The equation of the line would be y = 1/5x + 6
Step-by-step explanation:
First, to find the slope of a perpendicular line, you need to find the opposite and reciprocal of the original slope. Since the original is -5, we first change the sign (which makes it just 5). Now we take that 5 and flip it to get 1/5.
Now that we have the slope as 1/5, we can use that and the intercept in slope-intercept form to get the equation.
y = mx + b
y = 1/5x + 6
Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
![P=\$20,000/[(1+\frac{0.0114}{12})^{120}]](https://tex.z-dn.net/?f=P%3D%5C%2420%2C000%2F%5B%281%2B%5Cfrac%7B0.0114%7D%7B12%7D%29%5E%7B120%7D%5D)
P = 2(L + W)
P = 128
L = 2W + 4
128 = 2(2W + 4 + W)
128 = 2(3W + 4)
128 = 6W + 8
128 - 8 = 6W
120 = 6W
120/6 = W
20 = W <=== width is 20 ft
L = 2W + 4
L = 2(20) + 4
L = 40 + 4
L = 44 <=== length is 44 ft
Answer:
The diameter of the circle must be equal to the diagonal of the square.
Step-by-step explanation:
In order to draw a square inscribed with in the circle, the diameter of the circle must be equal to the diagonal of the square.
a) Draw a circle with center O
b) Draw the diameter of the circle with end points A and B
c) Draw perpendicular bisector of diameter AB intersecting the circle at point C and D
d) Now connect point A, B, C and D
