a man is at present 7 times as old as his daughter. in 10 years from now he will be 3 times as old as his daughter will be then. how old is his daughter now?

lets assume daughter age = x years

man age = 7x years

after 10 years daughter age will be = x +10

aftee 10 years man's age will be = 7x + 10

now as per statement

7x + 10 = 3×( x + 10)

7x + 10 = 3x + 30

7x -3x = 30-10

4x = 20

x = 20/4 = 5

so daughter's age is 5 years

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°

b

step-by-step explanation:

u take $75 minus $60.the anwer/original($75)multiply by 100