Devin is 1 1/4 younger than eli. april is 1/5 as old as devin. jill is 5 years older than april. if eli is e years old what is jill's age in terms of e?

Step-by-step explanation:  

We have been given that Eli is E years old.

Devin is 1 1/4 younger than Eli, therefore, Devin's age in terms of E will be:

Further we are told that April is 1/5 as old as Devin. So April's age will be,

Upon simplifying our expression we will get,

Now let us write Jill's age in terms of E.

We are told that Jill is 5 years older than April. So Jill's age will be,

Therefore, Jill's age in terms of E will be .

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

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°