Measure of the angle m ∠ RQS = 58 ° for the given circle with arc RS subtending m ∠RPS=14 x + 46 ° at the center P and m ∠ RQS = 3 x + 43 ° at Q, on the circumference.
As given in the question,
Measure of the angle is given by :
m ∠ RPS=14 x + 46 °
m ∠ RQS=3 x + 43 °
m ∠ RPS = twice m ∠RQS (angle subtended at center of the circle)
14 x +46 =2(3 x + 43)
⇒ 14x + 46 = 6x +86
⇒ 14x-6x=86-46
⇒8x=40
⇒ x=5°
m ∠ RQS = (3 x + 43) °
=[3(5) + 43 ]°
= 58°
Therefore, measure of the angle in the given circle m ∠RQS is equal to the 58 °
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The given expression is
We have to find the discriminant first . And for that, first we need to move whole terms of the left side to right side, that is
The formula of discriminant is
Substituting the values of a,b and c, we will get
And since the discriminant is greater than 0, or it is positive so we have two real roots.
Therefore the correct option is B .
Answer:11
Step-by-step explanation: think about 5+6 then when you add 11 to the -5 you get 6.
