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3 years ago

What is the value of x given that figure ADCB

Mathematics

2 answers:

aleksley [76]3 years ago

6 0

Answer:

Step-by-step explanation:

Because the trapezoid is isosceles, the two diagonals are congruent. This can be shown by ASA.

ACD = BDC Properties of parallel lines.

DC = DC A line is equal to itself

DBA = CAB Property of parallel lines.

AC = DB Parts of Congruent triangles are congruent

3x + 15 = 7x - 9 Add 9 to both sides

3x + 15 + 9 = 7x

3x + 24 = 7x Subtract 3x from both sides.

24 = 7x - 3x

24 = 4x Divide by 4

24/4 = 4x/4

x = 6

Eduardwww [97]3 years ago

4 0

Answer: 6

Step-by-step explanation:

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N76 [4]

Answer:

i believe the answer is 1/9, sry if im wrong

Step-by-step explanation:

4 0

3 years ago

If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price

Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

$P = 170 - Q$

The Marginal cost is given by

$MC = 52$

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

$TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2$

The Marginal revenue is the derivative of the Total revenue,

$MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\$

Assuming that the monopolist maximizes profits,

$MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59$

Therefore, the quantity is 59 units.

The price of each good is

$P = 170 - Q \\\\P = 170 - 59 \\\\P = 111$

Therefore, the price is $111.

3 0

3 years ago

Las+salchichas+vienen+en+paquetes+de+6+y+los+panes+para+panchos+se+envasan+en+paquetes+de+8+unidades+¿Es+cierto+que+si+se+prepar

vovikov84 [41]

Answer:

Es cierto se usan 16 paquetes de salchichas y 12 paquetes de panes para pancho.

Step-by-step explanation:

Lo que debemos hacer en este caso es dividir la cantidad total de panchos primero por la cantidad de unidades de salchichas que vienen en su paquete y segundo por la cantidad de unidades de panes para panchos que vienen en su paquete, si el resultado nos da un numero entero podemos decir que usa una cantidad completa de paquetes de salchichas y de panes:

96/6 = 16

96/8 = 12

Es decir que para 96 panchos se usan 16 paquetes de salchichas y 12 paquetes de panes para pancho, por lo tanto es cierto.

8 0

3 years ago

find the length of the base of a square pyramid if the volume is 1,024 cubic inches and has a height of 12 inches. (6 points) 4

Leokris [45]

To solve, we use the volume of a square pyramid formula which is expressed as the product of the area of the base (a²) and the height divided by three(h/3).

Volume = a² (h/3)
1024 in³ = (a²) (12 in/3)
a² = 1024 in³ · 3 /12
a = √256 in²
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Thus, the length of the base is 16 in.

5 0

3 years ago

Read 2 more answers

Identify the missing term in the following geometric sequence:

aleksley [76]

Answer:

B. -1/8

Step-by-step explanation:

Using the terms given in the sequence:

4, -2, 1, -1/2, 1/4

we can find the pattern by dividing since it is a geometric seqence:

-2/4 = -1/2

1/-2 = -1/2

-1/2 ÷ 1 = -1/2

So, each term is multiplied by -1/2 to get the next term in the sequence:

$\frac{1}{4}*-\frac{1}{2}=-\frac{1}{8}$

3 0

3 years ago