Answer:

Step-by-step explanation:
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
see the attached figure to better understand the problem
so
∠DEF=∠ECD+∠CDE
substitute the given values

solve for x
Combine like terms

Group terms



Find the measure of angle CDE

substitute the value of x

Answer:
13: Skew
14: Parallel
16: Intersecting
17: Skew
18: No
19: Yes
20: No
21: Yes
Step-by-step explanation:
Skew is when 2 lines dont intersect, nor are parallel (On different planes)
Parallel is when 2 lines are on the same plane, and will never touch
Intersecting is when any set of given points go through each other
Answer:
(2, -3)
Step-by-step explanation:
Apparently, the equations are supposed to be ...
The solution for x can be found by subtracting the second equation from the first:
(4x +y) -(3x +y) = (5) -(3)
x = 2 . . . . . . . matches the second answer choice
Y can be found from either equation:
y = 5 - 4x . . . . . subtract 4x from the first equation
y = 5 -4(2) = -3
The solution is (x, y) = (2, -3).
Answer:
Before raise: 65 chocolates/hour*60=3900 chocolates
Raise=65 * (15%=15/100=.15) .15=9.75 more chocolates per hour
With raise 74.75 chocolates/hour*60=4485 chocolates
4485-3900=585 more chocolates per 60 hour week
Step-by-step explanation:
OK. Then let's solve for ' r '. That means you have to come up with an equation that says r = everything else.
Step #1:
Write the equation you're given: <span>S = L (1 - r)
Let's divide each side by ' L ': S/L = 1 - r
Subtract 1 from each side : S/L - 1 = -r
Multiply each side by -1 : <em> 1 - S/L = r</em>
and there you have it.
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