9514 1404 393
Answer:
10 1/16 cm
Step-by-step explanation:
The Pythagorean theorem can be used.
(8 +x)² = x² +15²
64 +16x +x² = x² +225
16x = 161
x = 161/16 = 10 1/16 = 10.0625 . . . cm
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:
brainly.com/question/25716982
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Answer:
113
Step-by-step explanation:
The best and most correct answer provided from your question about the solution of a logarithmic equation is the fourth option which is x = 4. The solution to the equation is as follows:
We can transform the expression to:
(3x-7)^2 = 25
Solving for x using your algebra:
x = 4
I hope it has come to your help.