Step-by-step explanation:
1/x^24 is the correct expression
Answer:
x = 15
Step-by-step explanation:
The segment that is x units long is the midsegment of the largest triangle. The midsegment is half as long as the line parallel to the midsegment. It is half as long as the 30 unit long segment.
Note how the vertical sides (marked with the double tickmarks) are congruent to one another. The smaller pieces are both the same length, so they combine to something twice as big. Go in reverse: one segment with a pair of double tickmarks is exactly half as long as the entire vertical side. The same can be said about the horizontal sides as well.
Answer:
Part A) The proportional equation is 
Part B) 8 hours of training
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
Let
c -----> the cost to hire a dog
h ----> the amount of time in hours
The linear equation is equal to
Sue spent $660 on 12 hours of obedience training for her dog Muffin
Find the value of k (constant of proportionality)
substitute the values
therefore
The linear equation is
For 
Find the value of h
substitute in the equation and solve for h
Answer:
m∠BEF = 65.3°
Step-by-step explanation:
Given:
m∠DEB = 27.2,
m∠DEF = 92.5
Required:
m∠BEF
SOLUTION:
Since B is the interior of ∠DEF, it means ∠DEB and ∠BEF are adjacent angles that make up ∠DEF. And they share the same side, BE.
Therefore:
m∠BEF + m∠DEB = m∠DEF (angle addition postulate)
m∠BEF + 27.2 = 92.5
Subtract 27.2 from each side
m∠BEF + 27.2 - 27.2 = 92.5 - 27.2
m∠BEF = 92.5 - 27.2
m∠BEF = 65.3°
