8x=160
Divide both sides by 8
X= 20. He has to sell 20 games
Answer:
z = 29°
Step-by-step explanation:
We know that the 3 angles in a triangle always add up to 180°. So for triangle ABC, angle A = 59° (given), and angle B = 43° + 49° = 92° (given).
angle A + angle B + angle C = 180°
59° + 92° + z = 180°
151° + z = 180°
Subtract 151° from both sides of the equation
z = 180° -151°
z = 29°
Answer:
<em>p</em> = 2
Step-by-step explanation:
Happy to help.
When we have numbers in parenthesis, we generally want to deal with those first. However, we can hit a rough patch when a variable is in there. Consider this:
2(3 + 4) = 2(7), or 14.
But, the two can also be distributed into both numbers in the parenthesis, like this:
2(3 + 4) = 2*3 + 2*4
That leaves us with the same answer—14! We can apply this to a variable, and that will help us figure out 9(<em>p</em> - 4), or the left side of your equation you presented.
9(<em>p</em> - 4) = -18
9*<em>p</em> - 9*4 = -18
9<em>p</em> - 36 = -18
Add 36 on both sides to isolate the variable (in this case, <em>p)</em>
9<em>p</em> = -18 + 36
You can also write it like this; 9<em>p</em> = 36 - 18
9<em>p</em> = 18
Divide 9 to isolate <em>p</em>
<em>p</em> = 2
So, we would get (<em>p</em> = 2). Make sure to practice a few more questions like these to really get the hang of it—you'll be using this a lot in the future!
Good luck!
Answer: x = -7
Step-by-step explanation:
7 (x + 4) = -21
7x + 28 = -21
Subtract 28 from both sides
7x = -49
Divide both sides by 7
x = -7
Answer:
A) cotx = cosx/sinx
C) tanx = 1/cotx
Step-by-step explanation:
A)
cosx/sinx = 1/(sinx/cosx) = 1/tanx = cotx
Therefore, cotx = cosx/sinx
C)
Similarly;
1/tanx = cotx
Therefore,
1 = tanxcotx
1/cotx = tanx
and
tanx = 1/cotx
B) cscx=1/cosx is not true since;
1/cosx = secx
and
cscx = 1/sinx
