Answer:
The answer is 12.
Step-by-step explanation:
The question says QS is a tangent to circle P which means to QS is perpendicular 90° to QS. With provided information, we are able to find the value of QS using Pythogoras' Theorem, a²+b² = c² :
Let c = PR+RS = 5+8 = 13 units,
Let b = PQ = 5 units,
Let a = QS,
13² = 5² + QS²
QS² = 13² - 5²
= 169 - 25
= 144
QS = √144
= 12 units
Answer:
R (1 1/3 , 3) or (1.333 , 3)
Step-by-step explanation:
R (x,y)
x = 3 - (3 - (-2))/3 = 3 - (5/3) = 3 - 1 2/3 = 1 1/3
y = 2 + (5-2)/3 = 2 + 1 = 3
R (1 1/3 , 3) or (1.333 , 3)
First, find the value of <em>x</em>. Then, use the measures of the arcs to find the value of <em>w</em>.
When two chords intersect, the measure of the internal angle is equal to the average of the arcs that it encloses:
Since the angle of 70° encloses arcs of 60° and x°, then:
Solve for <em>x:</em>
The sum of the measures of the arcs of a circle must be equal to 360°. Then:
Substitute <em>x=80</em> and solve for <em>w:</em>
Therefore, the value of w is:
B. the temperature change between noon and 6 PM is the same as the temperature change between 8 PM and 10 PM.
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