Answer:
32 quizzes
Step-by-step explanation:
She take 4 quizzes by week.
28/7=4.
Then, 4*8=32
C. You take the tip amount devided by 15%. Thats 0.15. You the get the answer 97.20
Answer:
the error is in step 2.
0.25x was added to -0.75x with an incorrect result of +0.50x.
Step-by-step explanation:
The incorrect step is ...
Step 2: negative 1.50 = 0.50 x
This is the result of an attempt to add 0.25x to both sides of the equation. The correct step would be ...
-1.50 -0.25x = -0.75x . . . . . . . result from Step 1
-1.50 -0.25x +0.25x = -0.75x +0.25x . . . . . add 0.25x to both sides
-1.50 = -0.50x . . . . . . . . . . . . . the correct result from the addition (Step 2)
__
The correct result is ...
x = -1.50/-0.50 = 3 . . . . . Step 3
Use the identity
sec^2x = 1 + tan^2 x
- so sec x = sqrt(1 + tan^2 x) then:-
tan x + sqrt( 1 + tan^2 x) = 1
sqrt ( 1 + tan^2 x) = 1 - tan x
1 + tan^2 x = 1 + tan^2x - 2 tan x
0 = -2 tanx
tan x = 0
x = 0, π
π is an extraneous root because sec 180 = -1
So the answer is 0 degrees
Answer:
theta is 78 degrees, alpha is 85 degrees
Step-by-step explanation:
use the parallel lines
alternate interior angles means that theta + 112 = 180
and since the alternate interior of the 85 degree angle is a vrtical angle of alpha, they are equal
