Answer: Choice C) 10.5
The distance from A to C is 7 units (count out the spaces between the two points, or subtract y coordinates 4-(-3) = 4+3 = 7)
Let AC = 7 be the base of the triangle. You might want to rotate the image so that AC is laying horizontally rather than being vertical.
Now move to point P. Walk 3 spaces to the right until you land on segment AC. This shows that the height of the triangle is 3 when the base is AC = 7.
base = 7, height = 3
area of triangle = (1/2)*base*height
area of triangle = 0.5*7*3
area of triangle = 10.5 square units
Answer:
y = 2
x = 50
Step-by-step explanation:
We can first find y by doing 12y+5 = 18y-7 since vertical angles are always congruent.
We want to combine like terms so we subtract 12y from both sides (what you do on one side needs to be done to the other) and we get 5 = 6y-7 and now we add 7 to both sides to get 12 = 6y.
Like I said we did this because we combine like terms!!!
Now we want to isolate the y and we do this by dividing 6 from both sides which lets us get 2 = y
Now that we know what y is we can plug it into any of the equations using y.
I plugged it into the top right equation cause it was easier.
12(2)+5
24+5
29!
That angle is 29!
Now that we know that we can begin solving for x.
The equation that has x + 29 make 180 degrees because it is a straight line so we use this to solve for x!
3x+1+29=180 (We want to start combining like terms now)
3x+30=180(Subtract 30 from both sides)
3x=150 (Isolate the x by dividing 3 from both sides)
x=50!
We can prove this is right by inserting x into it's expression. That tells us the angle is 151. Now we add 151+151+29+29 and we get 360!
Use the rule of divisibility :
60 is composite because it is even so it can be divided by 2
67 is prime because none if the divisiblility rules work on it
65 is composite because it has a 5 by the end which means it can be divided by 5
<span>63 is composite because the sum of the digits equal to 9 which can be divided by 3 and 9</span>
Answer: 
Step-by-step explanation:
Sine uses the ratio, 
so we can plug in the information we know. since there is no current value for the opposite side of angle A, we can just use a variable to replace it.
You can't reduce this any further because there is an unknown variable.
