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Flura [38]
2 years ago
5

HELP PLZZZ THERE IS NO ANSWER CHOICES MARKING BRAINLIEST

Mathematics
2 answers:
jek_recluse [69]2 years ago
4 0

Answer:

B = 10.5

Step-by-step explanation:

From the figures, it looks like triangle HER is similar to triangle KPS.

From that we get

\dfrac{HE}{KP} = \dfrac{ER}{SP}

\dfrac{B}{7} = \dfrac{7.5}{5}

Multiply both sides by 7.

B = 10.5

vitfil [10]2 years ago
3 0

Answer:

B = 10.5

C = 10

Step-by-step explanation:

When one divides the corresponding sides of similar triangles, one will attain the ratio of similitude. If one multiplies one of the similar triangle's sides by the ratio of similitude, then one will attain the corresponding side of the similar triangle. In simple terms, the ratio of similitude is the scaling factor between two similar polygons.

As per the given information, the two triangles are similar, therefore one can set up a proportion with their corresponding sides;

\frac{ER}{PS} = \frac{HE}{KP} = \frac{HR}{KS}

Substitute;

\frac{7.5}{5} = \frac{B}{7} = \frac{15}{C}

Solve for B with cross products;

(7.5)(7) = (5)(B)\\52.5 = 5B\\10.5=B

Solve with cross products for C;

(7.5)(C) = (15)(5)\\7.5C = 75\\C=10

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Answer:

y = - 2x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁  = (- 2, 2) and (x₂, y₂ ) = (1, - 4)

m = \frac{-4-2}{1+2} = \frac{-6}{3} = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

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2 = 4 + c ⇒ c = 2 - 4 = - 2

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3 years ago
Which statement is true about the measure of angle R’??
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Answer:

Angle R is an Angle

Step-by-step explanation:

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A triangle is enlarged by a factor of 3. The perimeter of the new triangle is 36 feet. What could be the lengths of the sides of
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3 years ago
The quantity demanded x of a certain brand of DVD player is 3000/week when the unit price p is $485. For each decrease in unit p
ANTONII [103]

Answer:

Demand Equation: q = 15125 - 25p.

Supply Equation: 80p - 24000 = 9q.

Equilibrium Price: $525.

Equilibrium Quantity: 2000 units.

Step-by-step explanation:

To solve this question, first, the demand equation has to be calculated. Let price be on the y-axis and quantity by on the x-axis. It is given that p = $485 when q = 3000 units. This can also be written as (q₁, p₁) = (3000, 485). It is also given that when the price goes down by $20, the quantity increases by 500 units. Therefore, (q₂, p₂) = (3500, 465). Due to the statement "For each decrease in unit price of $20 below $485, the quantity demanded increases by 500 units", the demand function will be linear i.e. a straight line. This is because the word "for each" has been used. Therefore, finding the equation of the demand function:

(p - p₁)/(q - q₁) = (q₂ - q₁)/(p₂ - p₁).

(p - 485)/(q - 3000) = (465 - 485)/(3500 - 3000).

(p - 485)/(q - 3000) = (-20)/(500).

(p - 485)/(q - 3000) = -1/25.

25*(p - 485) = -1*(q - 3000).

25p - 12125 = -q + 3000.

25p + q = 15125.

q = 15125 - 25p. (Demand Equation).

Second, find the supply equation. It is given that the suppliers will not sell the product below or at the price of $300. Therefore, (q₁, p₁) = (0, 300). Also, the suppliers will sell 2000 units if the price is $525. Therefore, (q₂, p₂) = (2000, 525). Since it is mentioned that supply equation is linear, therefore:

(p - p₁)/(q - q₁) = (q₂ - q₁)/(p₂ - p₁).

(p - 300)/(q - 0) = (525 - 300)/(2000 - 0).

(p - 300)/(q) = (225)/(2000).

(p - 300)/(q) = 9/80.

80*(p - 300) = 9*(q).

80p - 24000 = 9q. (Supply Equation).

Equilibrium exists when demand = supply. This means that the demand and the supply equations have to be solved simultaneously. Therefore, put demand equation in supply equation:

80p - 24000 = 9(15125 - 25p).

80p - 24000 = 136125 - 225p.

305p = 160125.

p = $525.

Put p = $525 in demand equation:

q = 15125 - 25p.

q = 15125 - 25(525).

q = 15125 - 13125.

q = 2000 units.

To summarize:

Demand Equation: q = 15125 - 25p!!!

Supply Equation: 80p - 24000 = 9q!!!

Equilibrium Price: $525!!!

Equilibrium Quantity: 2000 units!!!

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