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2 years ago

When there is a wedge between private costs and social costs, which of the following must be present?

Mathematics

1 answer:

Bogdan [553]2 years ago

4 0

The negative externalities must be present.

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In rectangle abcd, points p and q lie on side AB and DC respectively. Angle PMQ is a right angle, M is the midpoint of side BC a

nirvana33 [79]

Answer:

PM:MQ = 8:3.

Step-by-step explanation:

$\rm \angle B\hat{M}P + 90^{\circ} + \angle C\hat{M}Q = 180^{\circ}$ ;

$\implies \rm \angle B\hat{M}P + \angle C\hat{M}Q = 90^{\circ}$ ;

$\implies \rm 90^{\circ} - \angle B\hat{M}P = \angle C\hat{M}Q$ .

Also,

$\rm \angle B\hat{P}M = 90^{\circ} - \angle B\hat{M}P$ in right triangle PBM.

Thus $\rm \angle{P\hat{B}M} = \angle C\hat{M}Q$ .

Additionally $\rm \angle \hat{B} = 90^{\circ} = \angle \hat{C}$ .

Therefore $\rm \triangle PBM \sim \triangle MCQ$ .

$\rm \displaystyle BC = 2\;MC$ for M is the midpoint of segment BC.

$\rm \displaystyle PB = \frac{4}{3}BC = \frac{8}{3}MC$ .

$\rm \triangle PBM \sim \triangle MCQ$ implies that

$\displaystyle \rm PM:MQ = PB:MC = 1:\frac{8}{3} = 8:3$ .

8 0

3 years ago

What number is equivalent to 43/12

jok3333 [9.3K]

43/12 can be
3 7/12

Hope this helps

8 0

3 years ago

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PLEASE HELP ILL MAKE YOU THE BRAINIEST What is the value of x

Alex787 [66]

$~~~~~~\cos 45^{\circ} = \dfrac{\text{Base}}{\text{Hypotenuse}}\\ \\\implies \dfrac 1{\sqrt 2} = \dfrac{x}{22}\\\\\implies x = \dfrac{22}{\sqrt 2}\\\\\implies x = \dfrac{22\sqrt 2}{2}\\\\\implies x = 11\sqrt 2\\$

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2 years ago

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Fabiola is reviewing for the Algebra 1 End-of-Course exam. She made this graph

Gwar [14]

Answer

(-6. 3) (-6, 6) (-4, 2)

Step-by-step explanation:

the solution is the dark area between the two lines.

the only trick would be if one of the points fell on the dotted line.

all points on the dotted line are not included but all points on the solid line are included.

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3 years ago

Name the algebraic property demonstrated in the example below:<br> (2 + x) + y = 2 + (x + y)

SashulF [63]

Answer:

Step-by-step explanation:

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3 years ago