3:8 = n:32
you multiply the ratio 3:8 by 4 to get the 32 female performers, so you multiply the 3 by 4 to get the variable n, which is how many men there are. so, 3×4=12
3:8 × 4:4 = 12:32
there are 12 men in the recital.
hope that helped and wasn't too confusing!
Use a b c formula search it in google
Answer is A. the first fraction can be simplified to -16, second to -4.5. a negative divided by a negative is a positive, and 3.56 can be rounded to 4.
Answer:
Step-by-step explanation:
Let
A(-5,5),B(-2,-4) ----> the given segment
step 1
Find the slope AB
The formula to calculate the slope between two points is equal to
substitute the given values
step 2
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)
so
the slope of the perpendicular bisector is equal to
we have
substitute
step 3
Find the midpoint segment AB
A(-5,5),B(-2,-4)
The formula to calculate the midpoint between two points is equal to
substitute the values
step 4
Find the equation of the line in point slope form
we have
substitute
step 5
Convert to slope intercept form
isolate the variable y
simplify
see the attached figure to better understand the problem
Angle prv = 74, x = 14
Since angle prv and angle vrt are complementary, their sum is 90 degrees.
Thus, angle prv = 90 - 16 = 74 degrees
Since angle prv = 74, 5x + 4 = 74 and using algebra we can solve for x = 14