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 °
Learn more about angle here
brainly.com/question/28451077
#SPJ1
Y=mx+b
m=slope
paralell ines have same slope
y=2/3x-6
slope is 2/3
the equation of aline that passes through (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
(3,14) and slope is 2/3
y-14=2/3(x-3)
y-14=2/3x-2
y=2/3x+12
The answer would be positive 24. The reason being is because of the fact that two negatives when multiplied cancel the negative. Also 12 * 2 is 24 so yeah
Answer:
3 gallons.
Step-by-step explanation:
We have been given that Jen picked 3/4 of a gallon of strawberries in a half an hour.
Let us convert our given time in minutes.
1 hour= 60 minutes.
1/2 hour= 30 minutes.
So 2 hours= 120 minutes.
Let us find the number of gallons of strawberries picked by Jen in 30 minutes by dividing 3/4 by 30.
Now let us multiply 1/40 by 120 to find the number of gallons of strawberries picked by Jen in 120 minutes(2 hours).
Therefore, Jen picked 3 gallons of strawberries in 2 hours.
