Answer:
x = 7 1/3
Step-by-step explanation:
First, add 1/2 and 6
1/2 + 12/2 = 13/2 = 6 1/2
Our equation now:
13/2 over 3 - x - 3 over 2 = 0
Next, divide 13/2 by 3
13/2 divided by 3 = 13/6
Our equation now:
13/6 over 3 - (x - 3) over 2 = 0
Now, find common denominators and simplify
13/6 - ((x - 3) times 3) over 6 = 0
22 - 3x over 6 = 0
Multiply by six on both sides
22 - 3x = 0
Subtract 22 from both sides
-3x = -22
Divide by -1
3x = 22
Divide both sides of the equation by 3
x = 22/3
x = 7 1/3
Hope this helps!
The point B has coordinates (-4,2) and C has coordinates (-2,-2). We are going to calculate the slope of the line

Then, we are going to calculate the intercept using the slope m=-2 and the point (-4,2).
y=mx+b
2 = -2*(-4)+b
Isolating b we get
2-8=b= -6
The equation would be
y=-2x-6, option A
Answer: 31°
Since <DAB = 55° and <CAB = 24°, subtract 24 from 55.
55 - 24 = 31
Answer:
<u>88/345 which is 0.2551</u>
Step-by-step explanation:
Since we are picking 2 athletes randomly and without replacement.
Probability of 1 volleyball player = 24/46 = 12/23
Probability of basketball player (<u>this</u><u> </u><u>is</u><u> </u><u>aft</u><u>er</u><u> </u><u>1</u><u> </u><u>vol</u><u>ley</u><u>ball</u><u> </u><u>play</u><u>er</u><u> </u><u>has</u><u> </u><u>alr</u><u>eady</u><u> </u><u>be</u><u>en</u><u> </u><u>picked</u><u>)</u><u>.</u><u> </u><u>We</u><u> </u><u>hav</u><u>e</u><u> </u><u>4</u><u>5</u><u> </u><u>players</u><u> </u><u>left</u><u>.</u><u> </u><u>=</u><u> </u><u>2</u><u>2</u><u>/</u><u>4</u><u>5</u>
<u>proba</u><u>bility</u><u> </u><u>of</u><u> </u><u>picki</u><u>ng</u><u> </u><u>one</u><u> </u><u>volle</u><u>yball</u><u> </u><u>pla</u><u>yer</u><u> and</u><u> </u><u>one</u><u> </u><u>bask</u><u>e</u><u>tball</u><u> player</u>
<u>p</u><u>(</u><u>voll</u><u>eyball</u><u> </u><u>pla</u><u>yer</u><u> </u><u>a</u><u>nd</u><u> </u><u>bask</u><u>etball</u><u> </u><u>player</u><u>)</u>
<u>(</u><u>1</u><u>2</u><u>/</u><u>2</u><u>3</u><u>)</u><u> </u><u>x</u><u> </u><u>(</u><u>2</u><u>2</u><u>/</u><u>4</u><u>5</u><u>)</u>
<u>=</u><u> </u><u>8</u><u>8</u><u>/</u><u>3</u><u>4</u><u>5</u>
1) Corresponding angles
2) Alternate angles