Let O be the center of a circle. If <span>the measure of arc RS is 84 degrees, then m∠SOR=84^{0}. The triangle SOR is isoscales (because SO=OR as radii), so m∠RSO=m∠ORS=(180^{0}-84^{0}):2=48^{0}.
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Line RU is tangent to the circle in point R, this means that m∠ORU=90^{0}.
Consider the triangle SRU. m∠RSU=30^{0} and m∠SRU=48^{0}+90^{0}=138^{0}, then m∠RUS=180^{0}-30^{0}-138^{0}=12^{0}.
ANSWER: Correct choice B - 12^{0}.
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Answer:
y = 2x - 4; Alex is 18.
Step-by-step explanation:
Since Alex is 4 years younger than 2 times his sister's age, and his sister is y and Alex is x, the function of y to x must be y = 2x - 4.
According to the rule, if Alex's sister is 11, Alex is 2 times that minus four. If you calculate that, you get
11 * 2 = 22
22 - 4 = 18
So Alex is 18 if his sister is 11.
A=-2;b=9;c=9;
delta=b^2-4*a*c
root1=(-b+(delta^(0.5)))/(2*a)
<span>root2=(-b-(delta^(0.5)))/(2*a)
delta =153
root1 = -0.8423
root2 =<span> 5.3423
Correct Answer is D</span></span>
Answer:
b and e
Step-by-step explanation:
Answer:
y=8
Step-by-step explanation:
Point slope is y2-y1 over x2-x1
So its 8-(-6) over 8-8 which equals 14/0 which means the equation of the line is y=8
This is a horizontal line on 8 on the y axis