Sorry about that, you for pointing that out. one month dale rented 8 movies and 4 video games for a total of $49 . the next month he rented 3 movies and 2 video games for a total of $21 . find the rental cost for each movie and each video game. rental cost for each movie: $ rental cost for each video game: $

The rental cost for each movie would be $3.50, and the rental cost for each video game would be $5.25.

If movies are 'm', and video games are 'v', we can write a set of simultaneous equations to solve:

8m + 4v = 49

3m + 2v = 21

We can solve using elimination, and multiply the second equation by 2 to get 6m + 4v = 42, and then subtract:

8m + 4v = 49

- 6m + 4v = 42

= 2m = 7

÷ 2

m = 3.5

Now we can substitute in 'm' as 3.5 to find 'v':

(3 × 3.5) + 2v = 21

10.5 + 2v = 21

- 10.5

2v = 10.5

÷ 2

v = 5.25

I hope this helps!

Make two equations and solve using the substitution method.

8m + 4g = 49

3m + 2g = 21

where m = movies and g = video games

Solve for g in the first equation.

8m + 4g = 49

Subtract 8m from both sides.

4g = 49 - 8m

Divide both sides by 4.

g = 49/4 - 2m

Plug g into the second equation.

3m + 2(49/4 - 2m) = 21

Distribute 2 inside the parentheses.

3m + 24.5 - 4m = 21

Combine like terms.

-m + 24.5 = 21

Subtract 24.5 from both sides.

-m = -3.5

Divide both sides by -1.

m = 3.5

Plug m into the first equation.

8(3.5) + 4g = 49

Distribute 8 inside the parentheses.

28 + 4g = 49

Subtract 28 from both sides.

4g = 21

Divide both sides by 4.

g = 5.25

Rental cost for each movie: $ 3.50

Rental cost for each video game: $5.25

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°