Answer:
x = 5
m∡B = 66°
Step-by-step explanation:
these two angles are same-side interior angles, which are supplementary
8x + 74 + 2x + 56 = 180
10x + 130 = 180
10x = 50
x = 5
m∡B = 2(5) + 56 = 66°
Answer:
2.601
Step-by-step explanation:
Given that:
White balls, W = 5
Black balls, B = 3
Orange balls, O = 2
Total = (5 + 3 + 2) = 10
Winning = $2 for each black ball chosen
Winning = - $1 for each white ball
Sample space for making 2 selections ; order does not matter :
{WW, WO, WB, OO, OB, BB}
WW __WO __WB __OO ___OB __BB
-2 ____ - 1 __ 1 ____ 0 ____ 2 ___ 4
WW = 5C2 / 10C2 = 0.2222
WO = (5C1 * 2C1) / 10C2) = 0.222
WB = (5C1 * 3C1) / 10C2) = 0.3333
OO = (2C2) / (10C2) = 0.0222
OB = ((2C1) * (3C1)) / 10C2 = 0.1333
BB = 3C2 / 10C2 = 0.0667
Expected winning = Σx * p(x)
(-2 * 0.222) + (-1 * 0.222) + (1 * 0.333) + (0 * 0.022) + (2 * 0.133) + (4 * 0.667)
= 2.601
Is this what your looking for?
First compute the component form of vector u by subtracting its initial values from terminal values. 18-1=17, 6-(-12)=18. So u=(17, 18). Since v points in the opposite direction, and has a magnitude three times that of u, we multuply the u by -3 and get v=(-3*17, -3*18)=(-51, -54).
Several ways to prove but let's use one only
Here
- PQ is the radius of circle Q
Also
- PQ is the radius of circle P
Hence P and Q circles have same radius
Now
As both are radius of circle Q
And
As both are radius of circle P.
Hence as per transitive property
Now
Hence
∆PQR is equilateral
Final Answer:
Steps/Reasons/Explanation:
Question: Solve .
<u>Step 1</u>: Simplify to .
<u>Step 2</u>: Regroup terms.
<u>Step 3</u>: Add to both sides.
<u>Step 4</u>: Simplify to .
<u>Step 5</u>: Multiply both sides by .
×
<u>Step 6</u>: Simplify × to .
<u>Step 7</u>: Divide both sides by .
<u>Step 8</u>: Simplify to .
<u>Step 9</u>: Switch sides.
~I hope I helped you :)~