X = 5/3 and m∠SPY = 8 1/3°.
Since PQ bisects the angle, the two angles formed by the bisector are equal:
11/2x - 5 = 4x - 5/2
We will first multiply everything by 2 to eliminate the fractions:
(11/2x)*2 - 5*2 = 4x*2 - (5/2)*2
11x - 10 = 8x - 5
Subtract 8x from each side:
11x - 10 - 8x = 8x - 5 - 8x
3x - 10 = -5
Add 10 to both sides:
3x - 10 + 10 = -5 + 10
3x = 5
Divide both sides by 3:
3x/3 = 5/3
x = 5/3
Now we will plug this in for x in both smaller angles and add them together to find the measure of ∠SPY:
11/2(5/3) - 5 + 4(5/3) - 5/2
55/6 - 5 + 20/3 - 5/2
We will rewrite everything using a denominator of 6:
55/6 - 30/6 + 40/6 - 15/6 = (55-30+40-15)/6 = 50/6 = 8 2/6 = 8 1/3°
Answer:
3/14 chance first draw
Step-by-step explanation:
There are 14 jellybeans in all, you won’t be replacing so the probability will change with each draw.
Probability the 1st draw is red = 3/14.
Probability the 2nd draw is red = (3–1)/(14–1) = 2/13.
Probability the 3rd draw is red = (2–1)/(13–1) = 1/12.
3/14 x 2/13 x 1/12 = 6/2184 = 1/364 is approximately 0.27%, pretty rare.
The area of the countertop is (16-ft x 3-ft) = 48 feet² .
1 foot = 0.3048 meter (rounded)
(1 foot)² = (0.3048 meter)² = 0.0929 meter²
48 feet² = (48 x 0.0929) = 4.459 meter² (rounded)
Answer:
hope it helps you .......
