suppose another line for a chair lift is placed at a constant distance c below the gondola line. what is the equation of the new line? is the new line also parallel to the hill? explain.​

Answer:

-2/8 or 1/4

Step-by-step explanation:

5/8-7/8, u sbtract the numerator then divide

subtract the numetrator=5-7=-2

divide= -2/8=-1/4

Answer:

65°

Step-by-step explanation:

2x= 130° (vertically opposite angles)

x= 130/2

x= 65°

Answer:

x = 65

Step-by-step explanation:

Answer:

when two lines are parallel the two slopes are equal (m1 =m2)

when two lines are perpendicular the product of the slopes is equal to -1( m1m2= -1)

m1 =1st slope

m2= 2nd slope

using the formula y= mx +c

m1= -8/9

m2= 9/8

since m1 is not equal to m2 and -8/9 × 9/8 = -1

It is perpendicular

Step-by-step explanation:

PLS MARK BRAINLIEST

Answer:

Nevan does not win

He scored 74 points

Step-by-step explanation:

First, find how many points he gets from 58 correct questions:

Multiply 1 3/4 by 58:

58(1.75)

= 101.5

Then, find how many points he loses from 22 incorrect questions:

Multiply -1 1/4 by 22:

22(-1.25)

= -27.5

Then, subtract 27.5 from 101.5 to find how many points he scored:

101.5 - 27.5

= 74

Since he needed 90 points to win, he did not win because he only got 74.

Step-by-step explanation:

Step-by-step explanation:

15 1/2+ 3/4=16 1/4

to add fractions what you want to do is this:

so you want them as the same denominator, a way to do this is multiply one denominator with another (ex, 2 in 1/2. you want to multiply 4 with 2 which equals 8 and 2 with 3. this together equals 6/8. do the same thing with 1/2. 1×4=4 2×4=8. 4/8)

so, whats 4/8 and 6/8? just adding it like usual, it'll be 10/8, or 1 2/8.

15+1 2/8=16 2/8

16 2/8 simplified (just divide by 2 until you make it to where you cant anymore)

16 1/4

do the same with the other adding ones.

23 1/6+8 3/4=23 11/12

15 2/5+ 2 2/6= 17 11/15

now, do the same way as showed before but except subtract.

9/10 - 3/5 = 15/50

7 3/4 - 5 5/8 = 1/8

20 5/8= 1/8

Answer:

1 2/8 (simplified 1/4)

Step-by-step explanation:

Well indicating that you have to add

7/8+3/8

7+3= 10

don't add the bottom numbers

10/8 simplify that

1 2/8

simplify

2/8, which is 1/4

Gives you the answer of

1 1/4

Answer:

1 1/4

Step-by-step explanation:

[tex]\frac{7}{8}+\frac{3}{8} = \frac{10}{8}= 1\frac{2}{8}divided by 2 = 1\frac{1}{4}[/tex]

Answer:

c

Step-by-step explanation:

20/100 can be simplified to 2/10, which can be simplified further to 1/5

Answer:

y = 1/8

Step-by-step explanation:

Divide both sides by 4/5, 1/10 divided by 4/5; 4/5y divided by 4/5. In 4/5y divided by 4/5, the two 4/5s cancels out, leaving y alone. 1/10 divided by 4/5 equals to 1/8. Now you have, 1/8 = y, which is the same thing as y = 1/8. Therefore, the value of y is 1/8.

Answer: 1/8

Step-by-step explanation:

4/5y=1/10

*multiply both sides by 5, and you'll get

4y=1/2

*divide both sides by 4

y=1/8

Answer: Find the slope of the original line and use the point-slope formula Y - Y^1 = M (X - X^1) to find the line parallel to 2 x + 3y =5

Step-by-step explanation:

Y= -2/3 x + 7/5

Answer:

1.false. 2.true 3.false 4.true

Answer:

66

Step-by-step explanation:

The red mark with "22" indicted that's 22, So you can remove 44(A) and 66(D), It cant be 22(B), Its Cleary 11.5(C)

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

A car covers the distance between two cities in 6 hours.

A van covers the same distance in 5.5 hours.

The speed of the van is 4 km per hour faster than the speed of car.

Let assume that

Speed of the car be x km per hour

So,

Speed of van is x + 4 km per hour.

Let further assume that

Distance between two cities be y km.

We know, Distance covered = Speed × Time.

➢ Now, Distance (y) covered by car at the speed of x km per hour in 6 hours is

[tex]\rm :\longmapsto\:\boxed{\tt{ y = 6x}} - - - - (1)[/tex]

➢ Also, Distance (y) covered by van at the speed of x + 4 km per hour in 5.5 hours is

[tex]\rm :\longmapsto\:\boxed{\tt{ y = 5.5(x + 4)}} - - - - (2)[/tex]

So, from equation (1) and (2), we have

[tex]\rm :\longmapsto\:6x = 5.5(x + 4)[/tex]

[tex]\rm :\longmapsto\:6x = 5.5x + 22[/tex]

[tex]\rm :\longmapsto\:6x - 5.5x = 22[/tex]

[tex]\rm :\longmapsto\:0.5x = 22[/tex]

[tex]\rm :\longmapsto\:\dfrac{5}{10} \times x = 22[/tex]

[tex]\rm :\longmapsto\:\dfrac{1}{2} \times x = 22[/tex]

[tex]\bf\implies \:x = 44[/tex]

On substituting the value of x, in equation (1), we have

[tex]\rm :\longmapsto\:y = 6 \times 44[/tex]

[tex]\bf\implies \:y = 264[/tex]

So,

[tex]\begin{gathered}\begin{gathered}\bf\: \rm :\longmapsto\:\begin{cases} &\sf{Distance \: between \: cities = 264 \: km} \\ \\ &\sf{Speed \: of \: car \: = \: 44 \: km \: per \: hour}\\ \\ &\sf{Speed \: of \: van \: = \: 48 \: km \: per \: hour} \end{cases}\end{gathered}\end{gathered}[/tex]

Step-by-step explanation:

the answer is 8

5-(-1-2)

5-(-3)

5+3

=8

Answer:

See below.

Step-by-step explanation:

First question:

Think of the x-axis as a mirror. Quadrilateral is above the x-axis. Quadrilateral is below the x-axis. Quadrilateral ABCD was reflected across the x-axis. Quadrilateral A'B'C'D' is a mirror image of quadrilateral ABCD.

Quadrilateral ABCD undergoes a reflection across the x-axis to form quadrilateral A'B'C'D'.

Second question:

Quadrilaterals ABCD and A"B"C"D" are both turned the same way. Quadrilateral A"B"C"D" is just moved left and down from quadrilateral ABCD. That transformation is called a translation.

Quadrilateral ABCD undergoes a translation 7 units left and 1 unit down to form quadrilateral A"B"C"D".

Answer:

The square roots of 144 are 12 and -12 which are rational numbers.

Step-by-step explanation:

Answer:

7x⋅2−3x−6=11x−6

Step-by-step explanation:

Answer:

square root of 369

Step-by-step explanation:

Answer:

5x +2 = 87

So X = 17

3y = 42

So Y = 14

Answer: 5%

Step-by-step explanation:

Answer:

18 green fish and there are 12 yellow fish

Answer:

3:05

Step-by-step explanation:

Answer: he got home at 3:05 pm!

Step-by-step explanation:

working backwards from the time stamp 5:56pm, we can just subtract the time he spent gaming and doing chores:

5:56

-0:54 mins games

-1:00 cleaning

-0:57 for homework= the time he got home, but lets make it easier!

54+57=111, in total, that's 1:51 time wise, so that simplifies it a little, be we can simplify it further, by adding the hour spent cleaning.

1:51 on homework n games + 1:00 on cleaning = 2:51 spent on home stuff in general

so lets go back to our subtraction:

5:56 pm -time stamp after all his chores

-2:51 spent on home stuff

= 3:05 pm the time he left school

Answer:

Step-by-step explanation:

Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.

Given the system of equation expressed as:

3x + y = 3

x - 2y = 4

Solve simultaneosly;

3x + y = 3 ............. 1 * 1

x - 2y = 4 ...............2 * 3

_________________________

3x + y = 3

3x - 6y = 12

Subtract

y-(6y) = 3 - 12

7y = -9

y = -9/7

Substitute y = -9/7 into the equation to get x

x - 2y = 4

x - 2(-9/7) = 4

x + 18/7 = 4

x = 4 -  18/7

x = 3/7

Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.

Learn more here: https://brainly.com/question/20052273

Answer:

x = 23

Step-by-step explanation:

If the sum of angles is equal to 180 then we can write and equation to find the value of x

5x + 10 + 55 = 180 add like terms

5x + 65 = 180 subtract 65 from both sides

5x = 115 divide both sides by 5

x = 23

9514 1404 393

Answer:

  6x -7 units

Step-by-step explanation:

Let c represent the length of the third side. The perimeter is the sum of the three side lengths.

  P = a + b + c

  (17x -5) = (3x +5) +(8x -3) +c

 17x -5 = 11x +2 + c . . . . . . . . . . . . collect terms

  6x -7 = c . . . . . . . . . . . . . . subtract 11x+2

The third side is 6x -7 units.