Answer:
If there are 2 quarters for every 3 nickels,
then there are
quarters.
If there are 2 dimes for every quarter,
then there are
dimes.
If the number of pennies and nickels together are equal to the number of dimes, then there are
pennies.
<u>Given</u>:
Given that two lines are intersecting at the point.
The angles (3x - 8)° and (2x + 12)° are the angles formed by the intersection of the two lines.
We need to determine the equation to solve for x and the value of x.
<u>Equation:</u>
The two angles (3x - 8)° and (2x + 12)° are vertically opposite. Hence, the vertically opposite angles are always equal.
Hence, we have;

Hence, the equation is 
<u>Value of x:</u>
The value of x can be determined by solving the equation 
Thus, we have;

Subtracting both sides of the equation by 2x, we get;

Adding both sides of the equation by 8, we get;

Thus, the value of x is 20.
Hence, the equation and the value of x are 
Thus, Option D is the correct answer.
Answer:
(hope this helps can I pls have brainlist (crown) ☺️)
Step-by-step explanation:
7^8 x 7^3 x 7^4 / 7^9 7^5
= 7^(8+3+4) / 7^(9+5)
= 7^15 / 7^14
= 7^(15-14)
= 7.
When the bases of the numbers are the same when multiplying numbers with exponents, you can just add the exponents like so:
7^8 x 7^3 x 7^4= 7^15
Now, look at the rest of the simplified equation and do the same to the denominator:
7^15 / 7^9 x 7^5 ⇒ 7^15/ 7^14
When the bases are the same in the fraction, you are allowed to subtract the exponents. This will lead you to the simplified answer = 7^15-14 = 7^1 = 7