Assuming lines m and n are parallel, what is the value of x?

Assuming Lines M And N Are Parallel, What Is The Value Of X?

Answers

Answer 1
If the two lines are parallel then the two angles are equal - vertically opposite angles are always equal:
6x - 7 = 4x - 1

First get all the x’s on one side and the numbers on the other:
6x - 4x = -1 + 7

This can be simplified:
2x = 6

Finally, divide both sides by 2:
x = 3

Hope this helps!

Related Questions

You make a scale drawing of a garden plot using the scale 2 in. 517 ft. If the length of a row of vegetables on the drawing is 3 in., how long is the actual row?
a. 17 ft b. 25.5 ft c. 34 ft d. 42.5 ft

Answers

The answer would be B- 25.5

A ski resort is building two parallel straight ski slopes for children. One of them has a gradient of 1/3. The other ski slope will pass through points (2,-3) and (s,-5). Find the value of s

Answers

Answer: s= -8

Step-by-step explanation:

The gradient of the ski slope can ge used as the slope (literally) of a line equation:

y = mx + b,

where m is the slope and b the y-intercept (the value of y when x = 0).

The first slope would be y = -(1/3)x + b.

The slope is (-1/3) since the ski run is headed downhill.  The second ski slope is assumed to have the same gradient ("two parallel straight ski slopes").

y' = -(1/3)x' + b

We may assume that b is the same for both slopes - they start and end at the same point.

We can find b by using the given point (2,-3):

y' = -(1/3)x' + b

-3 = -(1/3)(2) + b

-3 = -(2/3) + b   [Add -(2/3) to both sides: (-3 + 2/3 = -9/3 + 2/3 = -7/3]

-7/3 = b

b = -(7/3)

The second ski slope, y', thus has the equation

y' = (1/3)x' -(7/3)

We want the value of s in (s, -5).

y' = (1/3)x' -(7/3)

-5 = (1/3)s -(7/3)

(1/3)s = -5 +(7/3)    [-15/3 + 7/3 = -8/3]

(1/3)s = -(8/3)    [Multiply both dies by 3]

s = -(24/3)  

s = -8

Which number has a 5 in it that’s 10 times the 5 in 13.725

Answers

Answer:

0.05

Step-by-step explanation:

10*.005

answer it its a easy pionts no links or ill report u and u will not get brianly anymore pease answer it plsssss​

Answers

Answer:

8:112 third blank put 14

Find the perimeter. Simplify your answer.

Answers

Answer:

26s +24

Step-by-step explanation:

The perimeter is the total length of all its sides.

Perimeter

= 10s +3 +3s +9 +10s +3 +3s +9

= 10s +3s +10s +3s +3 +9 +3 +9

= 26s + 24

The Batpod and The Falcon Cycle are traveling down the
highway. That Batpod can travel at a speed of 4 miles
per minute; while the Falcon Cycle can double that at a
speed of 8 miles per minute. If Falcon gives Batman a 6
minute head start. How long will Batman have traveled
before Falcon catches him?


I need help so I can turn in my Packet?!?!?

Answers

24 miles. Why? If the bat pod goes 4 miles per minutes than in 6 minutes the bat pod would have gone 24 miles before the falcon catches him

Is the following expression greater than, less than, or equal to zero? (a^2+b^2)/(a^2+b^2+1)

Answers

Answer:

the answer is Equal to zero

Step-by-step explanation:

hope it's help correct me if I'm wrong <3

Answer:

≥0

Step-by-step explanation:

This one may seem tricky. The denominator is ALWAYS one more than the numerator. So, let's take a look at some examples.

-2/-1

This is >0. And even if you keep going to a number as high as -10000/-9999, it will ALWAYS be >0.

0/1

Hmm...this one is equal to 0. Seems like we have ≥0 right now.

2/3

>0, right? Well, since we have expression ≥0, that's your answer!

Hope it helps!

Given: Two distinct circles that are tangent to each other at a common point. How many tangent lines can be drawn that touch both circles?



3
1
2

Answers

there are only 3  tangent lines can be drawn that touch both circles

ok done. Thank to me :>

how to find the vertex of a parabola in standard form

Answers

Step-by-step explanation:

TO find the vertex, you need to find the x− and y− coordinates.

The formula for the axis of symmetry and the x-coordinate of the vertex is:

x = -b over 2a

To find the y-coordinate the vertex, substitute the value for x into the equation and solve for y

y=a(-b over 2a) squared + b(-b over 2a) + c

I just want to double check if I did this right

Answers

Yea, it’s right! Great job!

For f(x) = -5x-2, evaluate f(5)

Answers

Answer:

x=5

f(x)= -5x-2

f(5)= -5(5)-2

f(5)= -25-2

f(5) = -27

Answer:

See below:

Step-by-step explanation:

So we know that [tex]f(x)=-5x-2[/tex] therefore to find out what [tex]f(5)[/tex] is we can insert/replace [tex]x[/tex] with 5 due to it being a function, after we do that, we get this:

[tex]f(5)=-5(5)-2[/tex]

Using algebra, we an find out that [tex]f(5)=-27[/tex]

Cheers!

When 8 goes in,5 comes out
When 24 goes in.13comes out
when 70 goes in,__ comes out

What is the missing answer?

Answers

When 70 goes in, 36 comes out.

The pattern for this is x/2 + 1.

8/2 = 4, 4+1 = 5

24/2 = 12, 12+1 = 13

70/2 = 35, 35+1 = 36

Can someone help me with this please?

Answers

Answer:

Step-by-step explanation:

Define the sample space, S, of a fair coin being tossed once.

S=

A. {H, T}

B. {H, H}

C. {T, T}​

Answers

Answer:

S = { H,T }

Step-by-step explanation:

Sample space is these two outcomes

Please help i attached a link below to the graph

Write the linear inequality shown in the graph. The gray area represents the shaded region.

y ≥ –x – 4
y ≥ –x + 4
y ≤ –x – 4
y ≤ –x + 4

Answers

Answer: y ≤ -y+4

Step-by-step explanation:

The line in the graph:

Taking two points, we can calculate the slope of the line.  I'll pick (0,4) and (4,0)

Rise/Run (slope):  Rise (0-4) = -4, Run = (4-0) = 4.  Slope is -4/4 or -1.

The y-intercept is 4 (the value of y when x is zero).

The equation for the line is y = -x + 4.  The shades area includes all points on and under this line, so y ≤ -y+4.

4.875 = d - 2.125

what do I do here?​

Answers

Answer:

d=7

Step-by-step explanation:

7-2.125= 4.875

7 is your answer as it balances both sides of the equation.

i got seven by adding 2.125. to 4.875

Answer:

Step-by-step explanation:

1. add 2.125 to both sides of your equation

4.875 = d - 2.125

+2.125        +2.125

7 = d

The d is now isolated which allows us to see the answer is 7 for d

solve pls brainliest

Answers

Answer:

1) YES

2)NO

3)YES

4)YES

5)YES

Step-by-step explanation:

HOPE IT CAN HELP YOU LOVELOTS

roots and solution
(polynomial equation)
x3 + 6x2 - x - 30 = 0 ​

Answers

Answer:

hey, can you tell the question again? I've a prob in x, is it a variable or multiplication sign? just lmk this, I think I'm able to do it

Answer:

x=-5;-3;2

Step-by-step explanation:

all the details are in the attached picture (the answers are marked with red colour).

1) to determine the possible roots;

2) to check the possible roots, then to stop when the first one is found (it is 2);

3) to perform division of polynoms, then to re-write the given equation in comfortable form;

4) to calculate other roots.

Note, the suggested solution is not the shortest way and not the only one.

P.S. make the design according local requirements.

if sinA=1/2 then find sinA +cos A

Answers

Step-by-step explanation:

Given sinA – cosA = 1/2 squaring on both the sides, we get (sinA – cosA)2 = (1/2)2 ⇒ sin2A + cos2A – 2sinA cosA = 1/4 ⇒ 1 – 2sinA cosA = 1/4 ⇒ 1 – (1/4) = 2sinA cosA ⇒ 2sinA cosA = 3/4 ∴ sinA cosA = 3/8  → (1) (sinA + cosA)2 = (sinA – cosA)2 + 4sinA cosA                         = (1/2)2 + 4(3/8)                         = (1/4) + (3/2) = 7/4 (sinA + cosA) = √(7/4) = (√7)/2 .

Given that,

[tex]\sin A = \dfrac 12\\\\ \implies \sin^2 A = \dfrac 14\\\\\ \implies 1-\cos^2 A = \dfrac 14\\\\\ \implies \cos^2 A = 1 - \dfrac 14 = \dfrac 34\\\\\ \implies \cos A = \pm \dfrac{\sqrt 3}2\\\\\text{Case 1:}\\\\\sin A + \cos A = \dfrac 12 + \dfrac{\sqrt 3}2 = \dfrac{1 + \sqrt 3}2\\\\\text{Case 2:}\\\\\sin A + \cos A = \dfrac 12 +\left(- \dfrac{\sqrt 3}2\right) = \dfrac 12 - \dfrac{\sqrt 3}2=\dfrac{1 - \sqrt 3}2[/tex]

If f(1)=3f(1)=3 and f(n)=f(n-1)^2-3f(n)=f(n−1) 2 −3 whatsthe value of f(4)f(4)

Answers

Answer:

Step-by-step explanation:

So you can do that for me and you have a lot to say I don’t want you have a lot

Determine the value of x.

Answers

Answer:

x = 16

Step-by-step explanation:

46° and (3x - 2)° are alternate angles and are congruent , so

3x - 2 = 46 ( add 2 to both sides )

3x = 48 ( divide both sides by 3 )

x = 16

For f(x) = -5x+10, what us the value of x for which f(x) = 35

Answers

Answer:

x= -5

Step-by-step explanation:

f(x)= -5x +10

35= -5x +10

35-10 =-5x

25/-5 =x

x= -5

4) The original value of a painting is $9,000 and the value increases by 7% each year. In what year,
will the painting be worth $50,000? Show all work.

Answers

Answer:

The year will be 5 years from the starting year

Step-by-step explanation:

because if you add 7% by 9,000 until you get 50,000 just count how many times you added

Please help me this is due tomorrow.

Answers

Answer:

C

Step-by-step explanation:

The domain of a function is a set of values that make the function real and defined. No matter what number you substitute as x, the result is always real. Hence, the domain would be from negative infinity to positive infinity.

Answer: I think it’s D

Step-by-step explanation:

Find the value of a.
х
409
0.
a
y
O A. 60
OB. 80
OC. 40

Answers

The angle opposite to A is (90-40) = 50°Given here, the two opposite sides are equal.So, the opposite angles will be equal.So, a = 50°

Answer:

50°

Hope you could understand.

If you have any query, feel free to ask.

Find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius 6

Answers

Answer:

c.

took the test

Step-by-step explanation:

∠A and ∠B are complementary. m∠A=29°. find m∠B.

Answers

Answer:

55 degrees

Step-by-step explanation:

Add the expressions up and set up an equation.

( 2 x − 29 ) + ( x + 23 ) = 90 Simplify and solve for x.

3 x − 6 = 90 3 x = 96 x = 32 Find angle B.

x + 23 = 32 + 23 = 55

Hope this helps, have a nice day/night! :D

Answer:

m∠B = 61°

Step-by-step explanation:

Complementary means two angles that add up to the sum of 90°.

Since we are given m∠A = 29°, subtract 29° from 90°.

90 - 29 = 61

m∠B = 61°

Find the area! Explain all thinking!! Thank you! <3

Answers

Answer:

80

Step-by-step explanation:

you can divide the shape into a square and a rectangle, the square being the 7 by 10 area. by that logic, you can find the area of that portion to be 70. now you have the cut off rectangle to find, and you know one side is 2. to find the other side, you have to subtract 7 from 12 because by doing that you get the value of just that portion of the side. by doing that you get 5. going from there, you can multiply 2 by 5 to get 10 for the area of the rectangle. now you have to add 70 and 10, and you get 80!

hope this helped :D

the answer is 80 because of the rule of congruent shapes pls make me brainliest as i need one more to move up hope this helps and have a great day :)


The ratio of boys to girls in a group is 2:1. If there are 26 more boys than girls, work out how
many boys are there?

Answers

Answer:  52 boys

==================================================

Explanation:

g = number of girls

g+26 = number of boys because there are 26 more compared to girls

The ratio of boys to girls is 2:1, meaning g+26 is twice as large compared to g

number of boys = 2*(number of girls)

g+26 = 2g

26 = 2g-g

26 = g

g = 26

There are 26 girls and g+26 = 26+26 = 52 boys. Note how 52 is double that of 26.

nico wanted to determine the number of students in his school who buy school lunch. he walked around the cafeteria one lunch period looking to see whether every fifth person in the cafeteria purchased lunch or brought their own. which method did he use to collect his data? survey simulation experiment observational study

Answers

Answer:

Observation

Step-by-step explanation:

He walked around seeing if every fifth person bought lunch

Survey - Requires asking questions

Simulation - Needs prior data to make an estimation

Experiment - Testing something

Observation - Just observing and watching

Study - Looking up data

The method he used to collect his data is observational method.

When do we perform observational study, sample survey, controlled experiment, or random experiment?

Observational study is usually chosen when the researches the system is likely to produce different result if interfered.

Sample survey is done if the population is too big to analyze or destructible as the analysis occurs.

Controlled experiment is done manually, specifically to deduce conclusions. Its steps are fixed.

Random experiment is done specifically to deduce conclusions, but it is done in a random manner.

We are given that;

He saw every fifth person in cafeteria

Now,

An observational study is a method of collecting data by observing and recording the behavior or characteristics of individuals or groups without interfering or manipulating any variables. Nico did not ask any questions or change any conditions, he just observed whether every fifth person in the cafeteria bought lunch or brought their own.

Therefore, by sampling the answer will be observational method.

Learn more about sampling here:

https://brainly.com/question/9724150

#SPJ7

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