Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find the value of x
we know that
Triangles CDF and FDE are similar
therefore
The ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
Part 2) Find the length of DE
substitute the value of x
The measures of the angles are 59 degrees
<h3>How to determine the value of the angles?</h3>
The angles are given as:
Angle 1 = 2x + 17
Angle 2 = 3x - 4
By the interior angle theorem, the angles are congruent
So, we have
Angle 1 = Angle 2
Substitute the known values in the above equation
2x + 17= 3x - 4
Collect the like terms
3x - 2x = 17 + 4
Evaluate the like terms
x = 21
Substitute x = 21 in Angle 1 = 2x + 17
Angle 1 = 2 * 21 + 17
Evaluate
Angle 1 = 59
This means that
Angle 1 = Angle 2 = 59
Hence, the measures of the angles are 59 degrees
Read more about angles at:
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Answer:
240 minutes
Step-by-step explanation:
step 1 - 1:56÷14=4
step 2 - 2:4×60=240
Answer:
The mean is 50
Step-by-step explanation:
To find the mean, add up all the numbers and divide by the number of numbers
(35+ 40+ 56+ 52+ 67)/5
250/5
50
Answer:
x=−18
Step-by-step explanation:
Let's solve your equation step-by-step.
−8x=144
Step 1: Divide both sides by -8.
−8x−8=144−8
x=−18
