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3 years ago

Which statements are true about these lines? Select three options.

2 answers:

8 0

RS is perpendicular to MN and PQ.

We can use the slopes of these lines to determine the answer.
Slope is given by the formula
m=.

Using the coordinates for M and N, we have:
m=.

Since PQ is parallel to MN, its slope will be as well, since parallel lines have the same slope.

Using the coordinates for points T and V in the slope formula, we have
m=.

This is not parallel to MN or PQ, since the slopes are not the same.
We can also say that it is not perpendicular to these lines; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.

Using the coordinates for R and S in the slope formula, we have
m=. Comparing this to the slope of RS, it is flipped and the sign is opposite; they are negative reciprocals, so they are perpendicular.

Kay [80]3 years ago

3 0

Answer:

A) The slope of line MN is Two-thirds.

C) The slope of line RS is Negative three-halves.

E) Line RS is perpendicular to both line MN and line PQ.

Step-by-step explanation:

i did the work

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Find the missing side. Round to the nearest tenth. For all 4 pics

Firlakuza [10]

Answer:

1st pic) 17.8

2nd pic) 16.8

3rd pic) 9.1

4th pic) 13.5

Step-by-step explanation:

1st pic: $cos = \frac{adjacent}{hypothenuse}$

(write equation) Cos 27 (cos 27 = 0.89) = $\frac{x}{20}$

(new equation) 0. 89 = $\frac{x}{20}$

(multiply 20 on both sides) 0.89 x 20 = $\frac{x}{20}$ x 20

(solve) 17.8 = x

2nd pic: $tan = \frac{adjacentx}{hypothenuse}$

(write equation) tan 40 (tan 40 = 0.84) = $\frac{32}{x}$

(new equation) 0.84 = $\frac{32}{x}$

(multiply 32 on both sides) 0.84 x 20 = $\frac{32}{x}$ x 20

(solve) 16.8 = x

3rd pic: $cos = \frac{adjacent}{hypothenuse}$

(write equation) cos 55 (cos 55 = 0.57) = $\frac{16}{x}$

(new equation) 0.57 = $\frac{16}{x}$

(multiply 16 on both sides) 0.57 x 16 = $\frac{16}{x}$ x 16

(solve) 9.1 = x

4th pic: $tan = \frac{adjacentx}{hypothenuse}$

(write eqaution) tan 42 (tan 42 = 0.90) = $\frac{x}{15}$

(new equation) 0.90 = $\frac{x}{15}$

(multiply 15 on both sides) 0.90 x 15 = $\frac{x}{15}$ x 15

(solve) 13.5 = x

4 0

3 years ago

Your sister can get $30 per day, d, for selling clothes at the market. But she has to pay $60 at first for renting a stand. You

Alex

Answer:

6 days

Step-by-step explanation:

pay 60 = -60

Let d = the number of days

30d - 60 = sister

20d = me

Equation:

30d - 60 = 20d Move 30 to the other side

-30d -30d

-60 = 20d - 30d Combine liked terms

-60 = -10d

-10 -10 Divide

d = 6

5 0

3 years ago

Help me with these 3 and explain too thank you :))

xz_007 [3.2K]

Answer:

1) 25

2) 2

3) f(g(1)) = 42

Step-by-step explanation:

1) Given that f(x) = 4x^2 + 9

If x = -2

f(-2) = 4(-2)^2 + 9

f(-2) = 4(4) + 9

f(-2) = 16 + 9

f(-2) = 25

2) Given that f(x) = 4x - 6

y = 4x - 6

Replace y with x

x = 4y - 6

MAke y the subject of the forfmula

4y = x+ 6

y = (x+6)/4

SInce x = 2

f^(-1)(2) = (2+6)/4

f^(-1)(2) = 8/4 = 2

3) If f(x) = 6x and g(x) = x+6

f(g(x)) = f(x+6)

f(x+6) = 6(x+6)

Since x = 1

f(g(1)) = 6(1+6)

f(g(1)) = 6(7)

f(g(1)) = 42

5 0

3 years ago

Two families went to the event. The first family bought two children's tickets and one adult ticket and paid a total of 8.2 euro

blagie [28]

Answer:

Step-by-step explanation:

step a system of two equations c = child ticket a = adult ticket

eq 1) 2c + 1a = 8.2 multiply by 2

eq 2) 3c + 2a = 14.1

I will multiply eq 1 times TWO and subtract eq 2 from eq 1a)

eq 1a) 4c + 2a = 16.4

eq 2) 3c + 2a = 14.1

subtract (4c - 3c) + (2a -2a) = 16.4 - 14.1

c + 0 = 2.3 euros for one child ticket

Now find the adult ticket price, plug 2.3 for c into eq 1)

eq 1) 2c + 1a = 8.2

eq 1) 2(2.3) + 1a = 8.2 solve for a

4.6 + a = 8.2 substract 4.6 from both sides

a = 8.2 - 4.6

= 3.6 euros for one adult ticket

double check using eq 2) we know c and a values

eq 2) 3c + 2a = 14.1

eq 2) 3(2.3) + 2(3.6) = 14.1

6.9 + 7.2 = 14.1

14.1 = 14.1

5 0

3 years ago

Will mark brainlist for anyone who answers these parts correctly and properly showed their work.

dalvyx [7]

Answer:

The rise is -5 the run is 4

Step-by-step explanation:

Slope (m) =

ΔY

ΔX

-5

-1.25

θ =

arctan(

ΔY

) + 360°

ΔX

308.65980825409°

ΔX = 2 – -2 = 4

ΔY = -1 – 4 = -5

Distance (d) = √ΔX2 + ΔY2 = √41 = 6.4031242374328

Equation of the line:

y = -1.25x + 1.5

y =

When x=0, y = 1.5

When y=0, x = 1.2

Please give brainliest PLZPLZ

I really hope this helps have a beautiful day

3 0

3 years ago