Exterior angle theorem
16x - 7 = 8x + 2 + 10x - 19 ===> 16x -7 = 18x - 17
16x - 16x - 7 = 18x - 16x - 17 ===> -7 = 2x - 17
-7 + 17 = 2x - 17 + 17 ===> 10 = 2x ======> 5 = x
Plug x in to each equation.
Angle P: 8(5) + 2 = 42 deg, Angle Q: 10(5) - 19 = 31
The sum of interior angles = 180. 180 - 42 -31 = 107 deg (angle of PRQ)
To check that line other angle : 16(5) -7 = 73 deg + 107 = 180 deg
Answer: The first day the author reaches 100 days is on day 16.
To solve this problem, you could use a graphing calculator to graph the given equation. Then, determine when this line crosses 100. It crosses when x = 15.539. Therefore, we would have to round up to 16 so it is at least 100.
You could use the quadratic equation to solve: 100 = x^2 -12x + 45
Either you will get 16. If you use the quadratic formula, make sure to only use the positive answer.
Answer:
132
Step-by-step explanation:
Volume for a rectangular prism is V=lwh. so you do 11*3*4. 11 is the length, 3 is the width and 4 is the height
Answer:
<em>= 279</em>
Step-by-step explanation:
= 
+ (n - 1)d
d = 
-
~~~~~~~~~
d = - 17 + 25 = - 9 + 17 = - 1 + 9 = 8
= - 25 + 8(39 - 1) = 279
<em>= 279</em><em> </em>
Answer:
The answer is 0.25
Step-by-step explanation:
(1)we group like terms by subtracting 32.50 by 28.75
(2) we subtract 20 and 5 to give us a value of 15
(3)when we subtract 32.50 and 28.75 we get a value of 3.75
(4)so the equation will look like this 3.75t = 15
(5)we divide 3.75 we both the two equations
(6)With a correct calculation, Your answer should be t = 0.25
