Bridget plans to attend 4 cardio classes and 5 weightlifting classes, which will last 328 minutes. Next week, she hopes to attend 4 cardio Classes and 1 weightlifting class, which will last 168 minutes. How long is each class?

Time per cardio class: 32 minutes

Time per weightlifting class: 40 minutes

Step-by-step explanation:

Start by creating a system of equations:

let c = the time per cardio class

let w = the time per weightlifting class

4c + 5w = 328

4c + w = 168

Solving for c and w get you 32 minutes and 40 minutes respectively

step-by-step explanation:

0

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°