Melissa purchased 4 tacos and 2 burritos and her to total was $21. Casey purchased 4 tacos and 3 burritos and her total was $26.50. What is the price of one taco?

tacos cost $2.50

Step-by-step explanation: X symbol for taco Y symbol for burrito

4x+2y=21

4x+3y=26.50

Multiply first row by -3. -12x-6y= -63

Multiply 2nd row by 2. 8x+6y=. 53

The Y's cancel. -4x. = -10

Divide by -4. X= 2.50

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°

a

step-by-step explanation:

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