4. Joe received an hourly wage of $8.15. His boss gave him a 7% raise. How much does Joe make per hour now?

$ 8.72

Step-by-step explanation:

$8.15 + 7%·$8.15 =

= $8.15 + 7×8.15/100

= $8.15 + $57.05/100

= $8.15 + $0.57

= $ 8.72

$8.72

Step-by-step explanation:

8.15 x 1.07 = 8.72

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°

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