URGENT To decorate his new room, Mr. Caldwell bought some succulents for $2 each and
some mini cacti for $1 each. If he bought a total of 15 plants and spent a total of $23,
how many plants of each kind did he buy? Write and solve a system of equations. Show all work!

Succulents=8

Cacti=7

Step-by-step explanation:

x will be how much succulents he bought and y would be how many cacti he bought.

x+y=15.  Since he bought 15 plants.

2x+y=23

x=8

y=7

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°

your answer   is c

step-by-step explanation: