Ared candle is 8 inches tall and burns at a rate of 7/10 inch per hour. a blue cans is 6 inches tall and burns at a rate of 1/5 inch per hour. after how many hours will both candles be the same height (i just need the equation )

8 - (7/10)t - 6 -(1/5)t

Step-by-step explanation:

Let t = time in hours.

The red candle starts with a height of 8 inches.

After 1 hour, the height, in inches, is 8 - (7/10)(1).

After 2 hours, the height, in inches, is 8 - (7/10)(2).

After t hours, the height, in inches, is 8 - (7/10)t.

The blue candle starts with a height of 6 inches.

After 1 hour, the height, in inches, is 6 - (1/5)(1).

After 2 hours, the height, in inches, is 6 - (1/5)(2).

After t hours, the height, in inches, is 6 - (1/5)t.

Since we want an equation for when the heights are equal, we set the two expressions above equal.

8 - (7/10)t - 6 -(1/5)t

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.