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3 years ago

In ΔLMN, MN = 15, NL = 20, and LM = 6. Which list has the angles of ΔLMN in order from smallest to largest?

Mathematics

1 answer:

Gnom [1K]3 years ago

6 0

Answer:

m<N, m<L, m<M

Step-by-step explanation:

The angle that sees the longest side length has the bigger angle measurement

so the angles would be listed as following :

from smallest to largest :

m<N, m<L, m<M

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Please I really need help

ohaa [14]

9514 1404 393

Answer:

scale factor: 3
rule: (x, y) ⇒ (3x +15, 3y -24)
center: (-7.5, 12)

Step-by-step explanation:

The scale factor can be found by comparing the length of CB to the length of RQ.

B-C = (-2, 8) -(-4, 9) = (2, -1)

Q-R = (9, 0) -(3, 3) = (6, -3)

The length of RQ is clearly 3 times the length of CB, so the scale factor (k) is ...

ratio of corresponding differences = 6/2 = -3/-1 = 3 . . . . . scale factor

We know that for dilation about a point O, the distance from O is multiplied by the scale factor. For dilation of point B to point Q, this means ...

k(B -O) = (Q -O)

Solving for Q, we get ...

Q = kB -kO +O . . . . this is what our dilation rule will look like.

The quantity O-kO can be found by subtracting kB:

Q -kB = O -kO = O(1 -k)

This is what we need for our dilation rule.

Q -kB = (9, 0) -3(-2, 8) = (9+6, 0-24) = (15, -24)

So, our dilation rule is ...

(x, y) ⇒ k(x, y) +(15, -24)

(x, y) ⇒ (3x +15, 3y -24) . . . . . dilation rule

The center of dilation can be found from ...

(Q -kB)/(1 -k) = O

O = (15, -24)/(1 -3) = (-7.5, 12)

The center of dilation is (-7.5, 12).

_____

<em>Additional comments</em>

On the graph, the center of dilation can be found by drawing a line through a point and its image. (Points are always dilated along a line through the center of dilation.) The intersection of two such lines is the center of dilation.

On this graph, the center is just above the top edge of the chart, at point (-7.5, 12). You can see this if you carefully draw lines BQ and AP.

You usually have coordinates for two original points and two image points, so finding the scale factor the way we did is not difficult. If you just have one point on the original and the image, the scale factor is found by finding their distances from the center of dilation. Each image point is k times as far as each original point from that center.

7 0

3 years ago

Use the rational zeroes theorem to write the

scoundrel [369]

The y factors of the given quadratic equation is -1 and 40/22.

According to the statement

we have given that the equation and we have to find the factors of those equation.

So, The given equation is:

$Y =x^2-23x^2 + 18x+40$

where y is the factors of that equation.

So, we have to find the factors of the given quadratic equation.

$x^2-23x^2 + 18x+40 = 0$

Then after solving it become

$-22x^2 + 18x+40 = 0$

Then take negative sign common from it then

$22x^2 - 18x - 40 = 0$

Make the factors of this quadratic equation

$22x^2 + 22x -40x - 40 = 0$

Now take common values 22x and 40 from the equation then

$22x (x + 1) -40 (x + 1) = 0$

Then it become

$(22x - 40) (x + 1) = 0$

Then the values of x become from the equation is

$x = -1, x= 40/22$

The value of the factors y is -1 and 40/22.

So, The y factors of the given quadratic equation is -1 and 40/22.

Learn more about Quadratic equation here

brainly.com/question/24334139

#SPJ1

8 0

1 year ago

PLEASE HELP WILL GIVE BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLI

Alex17521 [72]

Answer:

4+2=6

15*6=90

9+9=18

18*3=54

90+54=144

Step-by-step explanation:

you have to add both the W and H together and then multiply them by the number of windows (4+2=6 , 16*6=90)

and the same with the garage doors (9+9=18, 18*3=54) then you take you two totals from multiplying and add them together (90+54=144)

5 0

3 years ago

Read 2 more answers

Sarah is driving. Her distance in km from Tempe after t hours of driving is given by: x = D(t) = 13 + 57t

777dan777 [17]

Answer:

The solutions for your four question problem are:

a) t = D^-1(x) = (1/57)*x -(13/57)

b) t = D^-1(x) = 1 h

c) D^-1(x) represents time.

d) The number of hours of driving needed for Sarah to be x km from Tempe. (option (c))

Step-by-step explanation:

a) Determine a formula in terms of x for: t = D^-1(x)

The distance in km from Tempe after t hours of driving is given by

x = D(t) = 13 + 57t.

We just need to find the value t function of x

x = 13 + 57*t

x -13 = 57*t

57*t = x -13

t = (1/57)*x -(13/57)

We can see the plots of both equation in the picture below.

b) Compute D^-1(70)

Once we find the expression for D^-1(x)

We substitute for x = 70 km

t = D^-1(x) = (1/57)*x -(13/57)

t = D^-1(x) = (1/57)*(70) -(13/57)

t = D^-1(x) = (70/57) -(13/57)

t = D^-1(x) = (1.228) -(0.228)

t = D^-1(x) = 1 h

c) In the expression D^-1(x) : what quantity (distance or time) does the x represent? what quantity (distance or time) does the entire D^-1(x) represent?

x represents Distance in both equations (D(t), and D^-1(x))

t represents Time in both equations (D(t), and D^-1(x))

Since t = D^-1(x),

D^-1(x) represents time.

d) Which of the following statements best describes D^-1(x)?

The number of hours of driving needed for Sarah to be x km from Tempe.

Since, t = D^-1(x), and t represents the amount of time elapsed since Sarah, parted from Tempe, the correct answer is option (c)

The expression for D^-1(x) can be found in the previous answers

t = D^-1(x) = (1/57)*x -(13/57)

The input is x (distance) and the output is t (time)

6 0

3 years ago

1/2 x + 3 = 2/3 x + 1

Vladimir [108]

Answer:

x = 12

Step-by-step explanation:

4 0

3 years ago