Three toy reindeer and two boxes of cookies cost $13.00.two toy reindeer and two boxes of cookies cost $10.00. what is the unit cost of each?

The unit cost of one toy reindeer is $3 and the unit cost of one box of cookies  is $2

Step-by-step explanation:

Let

x ----> the unit cost of one toy reindeer

y ----> the unit cost of one box of cookies

we know that

----> equation A

----> equation B

Solve the system by graphing

The solution is the intersection point both graphs

using a graphing tool

The solution is the point (3,2)

see the attached figure

therefore

The unit cost of one toy reindeer is $3 and the unit cost of one box of cookies  is $2

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°

16 is the absolute value

step-by-step explanation: