Answer:
x=3
Step-by-step explanation:
6x+7=3x+16
Subtract 3x from each side
6x-3x+7=3x-3x+16
3x+7 = 16
Subtract 7 from each side
3x+7-7 = 16-7
3x =9
Divide each side by 3
3x/3 = 9/3
x =3
907,701,000,000 in scientific notation is 9.07701 * 10^11.
Beth would be four years old
First, think this through. If you are 23 miles from Sacramento, and 110 miles from Oakland (I am assuming it is miles since you didn't specify *cough cough*) then the two cities are 133 miles apart (also assuming you are in between them)

so, we use the midpoint formula to find our position

and get 66.5 miles from both Sacramento and Oakland.
Next, we already know the sign is 23 miles away from Sacramento so we can use that distance and our position to figure out how far away the sign is. We use absolute values because distance is always positive.

so we get

to double check, use the sign's distance from Oakland.

so, we are 43.5 miles from the sign!
hope this helps
Answer:
X = 11
X = 7
Step-by-step explanation:
Part 1:
The measure of an inscribed angle is half the measure of an intercepted arc. So 1/2 mCE = m∠CDE
158 ÷ 2 = 79
You need to find x so you're going to set your equation of (8x - 9) = 79
Then you're going to add 9 to both sides to get 8x = 88
Divide both sides by 8 to get x = 11
Part 2:
We know that WY is 180 because it's a semicircle. Using this and the knowledge that ∠WXY is half the measure of the intercepted arc (180), we know that our equation should be (13x - 1) = 90
add 1 to both sides and our equation is (13x = 91)
Divide both sides by 13 and...
x = 7