On a recent math test, Tony earned 89 points out of 120. Calculate his percentage.
1 answer:
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Answer:
39 degrees
Step-by-step explanation:
- by seeing the diagram in the attachment, we can see that the angles UWV and VWX are on straight line or, their sum makes 180 degrees.
- we also know that sum of the angles in a triangle is 180 degrees.
by using the first statement,
UWV + VWX = 180
UWV + 6x-3 = 180
UWV = 180+3-6x
= 183-6x
by using second statement,
UWV+WVU+VUW=180
substituting the values,
183-6x+2x+5+x+13=180
201-3x=180
substracting 180 from both sides,
21=3x
dividing both the sides by 3,
7=x
the angle VWX=6x-3
substituting 7=x,
VWX=6(7)-3= 39.
Answer:
Step-by-step explanation:
Given:
Need:
First, let's look at the identities:
sum:
difference:
The question asks to find sin(A - B); therefore, we need to use the difference identity.
Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.
sin(A) =
cos(A) =
sin(B) =
cos(B) =
Plug these values into the difference identity formula.
Multiply.
Add.
This is your answer.
Hope this helps!