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
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Answer:
x=15√2 y=90 degrees.
Step-by-step explanation:
Thanks to the Pythagorean Theorem we know that with any right triangle, A^2+B^2=C^2. In this case we can use 15^2+15^2=sqrt of 450. The square root of 450 is 15 times the square root of 2. Thus x=15√2. Now we need to find y. All angles in a triangle add up to 180 so if we have 45+45+y=180 then y=90.
Step-by-step explanation:
oyasumi..................
Answer:
52 quarters, 42 dimes
Step-by-step explanation:
Let's call the number of quarters q, and the number of dimes d.
q+d=94
0.25q+0.1d=17.20
Subtract q from both sides of the first equation to isolate d:
d=94-q
0.25q+0.1(94-q)=17.20
0.25q+9.4-0.1q=17.20
0.15q=7.8
q=52
d=94-q=42
Hope this helps!
