Answer:
x = 5.85641
Step-by-step explanation:
Step 1: Find missing leg of left triangle
sin30° = x/16
16sin30° = x
x = 8
Step 2: Find missing leg of right triangle
8² + b² = 16²
b² = 192
b = 8√3
Step 3: Find <em>x</em> by taking the difference
8√3 - 8 = 5.85641
Dan's age is x.
Jack is three years older than Dan, so his age is x+3.
Harold is twice as old as Jack, so his age is 2(x+3).
Harold's age is five times Dan's age.

Jack is 5 years old.
Answer:


Now, add these two equations.
You get,



Given,




You can test this to the other equation as well.


Hence, the two numbers are 14 and 10.
You input the values and the equation would end up as
-5 = -3/2 (6) + b
You use y = mx + b
Y is -5
M is the slope = -3/2
X is 6
B is the y intercept but that is not given
Answer:
d. x = 5
Step-by-step explanation:
Chords that subtend congruent arcs are congruent.
<h3>Setup</h3>
Chord lengths are the same:
AB = CD
16x -2 = 14x +8
<h3>Solution</h3>
2x = 10 . . . . . . add 2-14x
x = 5 . . . . . . . . divide by 2