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3 years ago

B) Alfredo said that Angle 7 and Angle 6 are congruent and that would prove Line m

Mathematics

1 answer:

malfutka [58]3 years ago

6 0

Answer:

Yes if Angle 7 and angle 6 are linear pairs in angles created by a straight line that cuts through parallel lines.

Step-by-step explanation:

Remember that two parallel lines that are cut by a transveral will create 8 angles, which will be similar to each other. Making four pairs of congruent angles means that they will be exactly the same angle located in different parts of the system. So if angles 6 and 7 are congruent, and the lines are cut by a transversal, then the lines are parallel.

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Choose the best option.

Setler [38]

Answer:

Point

Explanation:

It makes the most sense

5 0

3 years ago

Number 36 please for geometry

Mumz [18]

Answer:

(x - 1)² + (y + 1/2)² = 65/4

Step-by-step explanation:

Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:

3 - 1

x = -----------

and

-1

y = ----------

The center is at x = 1 and y = -1/2: (1, -1/2).

b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):

diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,

radius = (1/2)√65.

square of the radius = r² = 65/4

The general equation of a circle with center at (h, k) and radius r is

(x - h)² + (y - k)² = r². In this case, the equation is:

(x - 1)² + (y + 1/2)² = 65/4

8 0

3 years ago

PLEASE HELP ITS DUE IN LIKE30 min !!!!!!!!!Give the following functions f(x) and g(x),solve (f/g) (-5) and select the correct an

Bingel [31]

Answer:

The answer is -32

Step-by-step explanation:

g(-5) = (-5)-1= -6

f(-6) = 2(-6)-20

f(-6) = -12-20

-32

6 0

3 years ago

What equation models the data in the table if d = number of days and c = cost?

dedylja [7]

Answer:

c=3d

Step-by-step explanation:

What equation models the data in the table if d = number of days and c = cost? Days Cost 2 6 3 9 5 15 6 18

Answer: An equation is a statement used to show the relationship between variables and shows the equality between two expressions. We want to find the relationship between the number of days and the cost.

Given that:

Days Cost

2 6

3 9

5 15

6 18

Lets take the ratio of days to cost using the first row:

$\frac{d}{c}=\frac{2}{6}\\ \frac{d}{c}=\frac{1}{3}\\c=3d$

The relationship c = 3d is true for all values of days and cost

3 0

3 years ago

The weekly sales of Honolulu Red Oranges is given by q = 990 − 22p. Calculate the price elasticity of demand when the price is $

elena55 [62]

Answer:

E = -2. The demand is going down by 2% per 1% increase in price at that price level.

The price that gives a maximum revenue is $22.5. The maximum revenue is $9112.5

Step-by-step explanation:

The overall demand formula: Q = aP + b

Q = 990 - 22P

<u>Demand elasticity:</u>

At P = $30, the Q = 990 - 22×30 = 330. a = $\frac{dQ}{dP}$ = -22

The formula for demand elasticity: E = $\frac{dQ}{dP}$ × $\frac{P}{Q}$

Demand elasticity at $30: E = -22 × $\frac{30}{330}$ = -2

So, The demand will be going down by 2% if 1% increase in price.

<u>Revenue:</u>

R = P×Q = P×(990 - 22P) = -22P² - 990P

R' = -44P - 990. The revenue is maximum when R' = 0

⇔0 = -44P - 990 ⇔ P = $22.5

At the P = $22.5, the Q = 990 - 22×22.5 = 495.

The maximum revenue = $22.5×495 = $11,137.5

7 0

3 years ago