Frank plans to compete in a triathlon. The race includes a 1.5-km swim, a 40-km bike ride, and a 10-km run. 1. Find the unit rate of each activity to complete Frank's training log. DaySun Mon Tues Wed Thurs Fri Sat Activity Swim Run Bike Swim Run Bike Run Swim Bike Distance (km) 2.1 7.5 30 0.5 12 18 21 0.7 36 Time (h)1.5 0.75 1.5 0.25 1.5 0.75 3.5 0.4 2.25 Rate (km/h)

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°

step-by-step explanation:

the true ones are a b and d

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!

4+4+2x

or

2x+8

step-by-step explanation: