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jonny [76]
3 years ago
9

In the figure, angle D measures 31° and angle A measures 27°.

Mathematics
1 answer:
Nastasia [14]3 years ago
8 0
If we assume that the figure is a triangle with a supplementary angle outside the triangle ABD, ∠F. Given that angle D is 31 and angle A is 27. Therefore, angle B is 122. Then, angle F is supplementary to angle D, meaning angle F will have a measurement of 180 - 31 = 149. 
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What are the solutions to the system of equations?
bogdanovich [222]

Answer:

(0, - 3 ) and (- 1, - 5 )

Step-by-step explanation:

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y = 4x² + 6x - 3 → (1)

y = 2x - 3 → (2)

Substitute y = 4x² + 6x - 3 into (2)

4x² + 6x - 3 = 2x - 3 ( subtract 2x - 3 from both sides )

4x² + 4x = 0 ← factor out 4x from each term

4x(x + 1) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

x + 1 = 0 ⇒ x = - 1

Substitute these values into (2) for corresponding values of y

x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )

x = - 1 : y = 2(- 1) - 3 = - 2 - 3 = - 5 ⇒ (- 1, - 5 )

5 0
2 years ago
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FromTheMoon [43]

Answer:

9

Step-by-step explanation:

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7 0
2 years ago
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yulyashka [42]

Answer:

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Step-by-step explanation:

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3 years ago
If you have a demand function of Qd=48-9P and a supply function of Qs=-12+6P,
jenyasd209 [6]

Answer:

The equilibrium quantity is 26.4

Step-by-step explanation:

Given

Q_d = 48 - 9P

Q_s = 12 + 6P

Required

Determine the equilibrium quantity

First, we need to determine the equilibrium by equating Qd to Qs

i.e.

Q_d = Q_s

This gives:

48 -9P = 12 + 6P

Collect Like Terms

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P = \frac{-36}{-15}

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This is the equilibrium price.

Substitute 2.4 for P in any of the quantity functions to give the equilibrium quantity:

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Q_d = 48 - 9 * 2.4

Q_d = 26.4

<em>Hence, the equilibrium quantity is 26.4</em>

7 0
3 years ago
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Slav-nsk [51]

Answer:

600 cm^2

Step-by-step explanation:

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3 years ago
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