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2 years ago

What is the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) with a straightedge and a compass?

Mathematics

1 answer:

nata0808 [166]2 years ago

5 0

The next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.

To construct angle MNO congruent to the given angle ABC, the following conditions must be satisfied:

The two angles must be equal (∠ABC = ∠MNO).
The radius of the two triangles must be equal.
The radius from center N must be equal to radius BA and BC.
The radius of angle MNO is NO and it must equal BA and BC

Thus, we can conclude that, the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.

Learn more about construction of congruent angles here: brainly.com/question/20097419

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Which function has a greater rate of change? Function A: x 1.5 2.5 3.5 4.5 5.5 y 5 0 –5 –10 –15 Function B: y = –4.5x + 15 Funct

expeople1 [14]

Answer:

Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of

Step-by-step explanation:

Function A:

$\begin{array}{cccccc}x & {1.5} & {2.5} & {3.5} & {4.5} & {5.5} \ \\ y & {5} & {0} & {-5} & {-10} & {-15} \ \end{array}$

Function B:

$y = -4.5x + 15$

Required

Which has a greater rate of change

The rate of change of function A is calculated as thus:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$(x_1,y_1) = (1.5,5)$

$(x_2,y_2) = (2.5,0)$

So, we have:

$m = \frac{0-5}{2.5 - 1.5}$

$m = \frac{-5}{1}$

$m = -5$

For function B

The general function is:

$y = mx + b$

Where

m is the rate of change

By comparing $y = mx + b$ to $y = -4.5x + 15$

$m = -4.5$

So, we have that:

Function A has a rate of -5; function B has a rate of -4.5.

By comparison: -4.5 is greater than 5

Hence, function B has a greater rate.

4 0

3 years ago

Girl 45 mins to Deliver papers on her route however if her brother have a good solid 20 minutes how long would it take if it was

LenKa [72]

Answer:

36 minutes

Step-by-step explanation:

It takes 45 mins to deliver paper on her route.

Let X be the amount of time it takes the brother to complete the route.

The brother works at the rate of 1/x route per min

The girl works at the at the rate of 1/45 route per min

Girl and brother working together works at rate of 1/20 route per min

1/x + 1/45 = 1/20

Multiply through by 180x

180 + 4x = 9x

4x - 9x = -180

-5x = -180

x = -180 / -5

x = 36 mins.

It takes the brother 36 minutes to complete route alone.

7 0

3 years ago

Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?

Luba_88 [7]

We conclude that the distance between points C and D is 5 units.

<h3>How to find the distance between the two points?</h3>

Remember that if we have two points (x₁, y₁) and (x₂, y₂), the distance between these points is:

d = √( (x₂ - x₁)^2 + (y₂ - y₁)^2)

In this case, we know that:

Point C has the coordinates (-1, 4)

Point D has the coordinates (2, 0)

Then the distance between these two points is:

d = √( (-1 - 2)^2 + (0 - 4)^2) = √25 = 5

We conclude that the distance between points C and D is 5 units.

If you want to learn more about distance between points:

brainly.com/question/7243416

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4 0

1 year ago

( please help this is the last question and i have 4 min left, thank you for the help!)

Naddik [55]

Answer:

Step-by-step explanation:

-4x∧2 -1

-4x squared minus one

4 0

2 years ago

In a sample of 75 toys, a store owner found 9 were broken. How many broken toys can the store owner expcept to find in a case of

pogonyaev

I believe it is 24 toys

7 0

3 years ago

Read 2 more answers