Yeah it’s My favorite I’m really excellent in Math That’s My 1st favorite subject
Answer:
Step-by-step explanation:
Answer:
Diameter = 19.33
Step-by-step explanation:
Imaging a radius line from O to the endpoints of the 7. call this line R.
Label the part of the vertical line from O to the 90 degree intersection y.
Now you have a right triangle.
Using the Pythagorean theorem:
R² = 7² + y²
also
y = R - 3
substitute for y:
R² = 49 + (R-3)²
R² = 49 + R² - 6R + 9
simplify:
0 = 58 - 6R
6R = 58
R = 9.6667
Diameter = 2(9.6667) = 19.33
Answer:
<em>68 degrees</em>
Step-by-step explanation
If <3 and <4 are vertical angles, then <3 = <4
This means that
9x + 5 = 5x + 33
9x - 5x = 33 - 5
4x = 28
x = 28/4
x = 7
Since <4 = 5x+ 33
<4 = 5(7) + 33
<4 = 35 + 33
<4 = 68 degrees
<em>Hence the measure of <4 is 68 degrees</em>