Answer:
m∠CBD=68°
Step-by-step explanation:
BA is perpendicular to BD, meaning they form a right angle (90°)
This means m∠CBD + m∠ABC=90, or they are supplementary.
We have expressions given for these angles, so
4x+52+8x-10=90
12x+42=90
12x=48
x=4
Knowing x=4, we can substitute back into our expression for m∠CBD because that's what we're looking for.
4(4)+52=68
m∠CBD is 68°.
A.
Juan Increase 25/350 = .071 * 100 = 7 %
Rhia Increase 75/275 = .273 * 100 = 27 %
Max Decrease 40/400 = .1 * 100 = 10 %
b.
Juan sold more than $355 but his increase was less than 10% so he did not get a bonus.
Rhia had an increase more than 10% but she did not sell more than $355 so she did not get a bonus.
Max had a decrease so he did not get a bonus.
Answer:
sin^2a+ cos^2a=1
it is derived from Pythagoras theorem
It's the sum of a geometric sequence.
Let's rewrite it a bit:
And now let's calculate this sum 
:
Now let's calculate the initial sum:
