Tools Question
Question 17
A mother took her 3 children to get haircuts. Each hairdresser charges a different amount. Brian's haircut cost $15, Lucy's cost $23, and Jennifer's cost $32. Normally, the mother tips 15% for the
haircuts, but Lucy's hair was badly cut, so the mother only tipped her hairdresser 10%
How much did the mother spend in total for the 3 haircuts?

$81.55

Step-by-step explanation:

$15+15%=15x1.15=$17.25

$23+10%=23x1.1=$27.50

$32+15%=32x1.15=$36.80

Total=$81.55

(Time to find a cheaper shop)

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°