Simplify and solve for the unknown. Use order of operations as needed.
8×2+5^2-y=2(y+1)+6 ​

y = 11

Step-by-step explanation:

8 × 2 + 5²- y = 2(y + 1) + 6 ​

8 × 2 + 5²- y = 2y + 2 + 6 ​

8 × 2 + 25 - y = 2y + 2 + 6 ​

16 + 25 - y = 2y + 2 + 6

41 - y = 2y + 8

41 (- y + y) = (2y + y) + 8

41 = 3y + 8

41 - 8 = 3y (+ 8 - 8)

33 = 3y

33/3 = 3y/3

y = 11

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°