Answer:
∠ J = 95°
Step-by-step explanation:
Triangle GHI is similar to triangle JKL. If ∠H measures 60° and ∠ L = 25° then we have to find the measure of ∠ J.
Since in similar triangles Δ GHI and ΔJKL
∠G = ∠J, ∠ H = ∠ K and ∠ I = ∠ L
Therefore In triangle JKL
since ∠ K = ∠ H and ∠ H = 60°
Therefore ∠ K = 60°
Now ∠ J = 180°- (60° + 25°) = 180 - 85 = 95°
Answer is ∠ J = 95°.
Answer:
Deceleration = units/sec^2
Step-by-step explanation:
Given that a car is traveling at when the driver sees an accident m ahead and slams on the brakes.
i.e. if he is coming with speed v units/sec say, he has to make his velocity 0.
Distance travelled = m units
Initial velocity = v
Final velocity =0
Use the third formula as
So he has to apply an acceleration of units/sec^2 to stop the car in time to avoid a pile up.
Deceleration = units/sec^2
The main idea is the number of marbles and the denominator of the probability. All you have to do is multiply the fraction by a fraction which is equal to 1 which makes the denominator equal to 63. We know 63 is a multiple of 9. 9 goes 7 times in 63 so we multiple the fraction with
which gives,
which when evaluated gives
and the numerator is the number of red marbles in the bag. So there are 14 red marbles in the bag :D