find x, if ∠1 and ∠2 are a linear pair. m∠1 = 20+5x and m∠2 =x+10

Answers

Answer 1

Answer:

[tex]\boxed { x = -\frac{5}{2}}[/tex]

Step-by-step explanation:

To determine the value of [tex]x[/tex], write expression by using the following measurement from both [tex]\angle 1[/tex] and [tex]\angle 2[/tex] and solve:

[tex]\angle 1 = 20 + 5x[/tex]

[tex]\angle 2 = x + 10[/tex]

[tex]20 + 5x = x + 10[/tex]

Solve for [tex]x[/tex]:

[tex]20 + 5x = x + 10[/tex]

[tex]20 + 5x - x = x - x + 10[/tex]

[tex]20 + 4x = 10[/tex]

[tex]20 - 20 + 4x = 10 - 20[/tex]

[tex]4x = -10[/tex]

[tex]\frac{4x}{4} = \frac{-10}{4}[/tex]

[tex]\boxed { x = -\frac{5}{2}}[/tex]

So, the value of [tex]x[/tex] is [tex]-\frac{5}{2}[/tex].


Related Questions

Evaluate y(-4) - 8x when x = 5, y = -1

Answers

Answer:

−36

Step-by-step explanation:

I NEED HELP PLEASE HELP

Answers

I could help if i could but i also need help

pls awnser tis question

Answers

Grade four is the answer

Answer:

It's grade 4! :)

Step-by-step explanation:

oranges were on sale for $0.45 per pound. Leo bought 12.6 pounds. which expression shows how to determine the total cost of oranges?

0. 12.6×0.45
0. 12.6-0.45
0. 12.6+0.45
0. 12.6÷0.45​

Answers

Answer:I believe it is A

Step-by-step explanation:

You would multiply bc it is a decimal

“A”is your answer for this question

Help me with my math question im gonna give you 10 points just to answer that thankkkkkkkkkkkkkkkkkk you

Answers

Which one you need help with

What is the first mistake that was made? - 10x + 14 - 2x = 2( -3x - 2)
-10x + 14 - 2x = -6x - 4
-10x - 2x + 14 = -6x - 4
-12x + 14 = -6x - 4
+6x. +6x
6x + 14 = - 4
- 14 - 14
6x = - 18
6 6x
X = -3

Answers

The first mistake was in the 6x + 14 = -4 Line as -12x + 6x is -6x and not 6x.

how do you find the domain and range of this graph?

Answers

Answer:

Domain: all real x values, Range: -4_<x_<infinity

Step-by-step explanation:

The Domain is the X values, and the range is the Y values

what is the equation of the line that passes through the point(3,-6) and has a slope of 0 ​

Answers

Answer:

y = 3 x − 3

Step-by-step explanation:

The equation for slope-intercept form is as follows:

To find  c , substitute  x = 3 ,  y= 6  and  m = 3  into the equation,6=3 (3 ) + c c= 6 − 9 c = − 3  Since we found  m = 3  and  c= − 3 , we can form the equation,  = 3 x− 3

:D

Answer:

y=-6

Step-by-step explanation:

I got it wrong and told me this was the answer! Im not good with math lol

Maya bought 8 chicken wings for $8.80. If Maya spent $25.30, how many chicken wings did she buy?

Answers

Answer:

23

Step-by-step explanation:

Describe the relationship between volume, mass, and density. If a
marble with a density of 2.4 g/cm^3 was cut in half, what would be the
the density of half the marble?

Answers

Answer:

  2.4 g/cm^3

Step-by-step explanation:

Density is the ratio of mass to volume (as the units g/cm^3 tell you). If you cut the marble in half, each piece will have half the mass and half the volume, so the density remains unchanged. It will still be ...

  2.4 g/cm^3

A customer was so happy with your service that they wanted to give you a 15% tip on the price of the car. If their car costs $43,780, how much would they pay you in tip?

Answers

Answer:

$6,567

Step-by-step explanation:

Multiply $43,780 by .15

If y=80 when X =8 what is the value of y when x=12

Answers

Answer:

y=120

Step-by-step explanation:

y=80 when ×=8 because 8 × 10 = 80

therefore multiplying 12 by 10 gives us 120

Answer:

y=120 when x=12

Step-by-step explanation:

From the pattern I noticed that y is pretty much 10 times the value of x. So when x equals 12, y will equal 120.

Hope this helps. Please mark me brainliest.

What is the length of a diagonal oh cute with a side length of 3 cm?

Answers

Answer:d≈5.2cm

Step-by-step explanation:

d=3a=3·3≈5.19615cm

pls help me! i will give u brainliest

Answers

Answer:

1st is rational 2nd is irrational 3rd is irrational 4th is rational 5th is irrational

Step-by-step explanation:

Help I need help with this question

Answers

Answer:

X = 208

Step-by-step explanation:

This is my second question​

Answers

The answer is the function is not one to one

Triangle ABC is located on a coordinate plane. Angle C is at (1, 2). The triangle is rotated counterclockwise 90° about the origin. HOW DO I SOLVE THIS????

Answers

Answer:the answer is (-2,1)

Step-by-step explanation:

When rotating a point 90 degrees counterwise about the origin point (x,y) becomes (-y,x). So basically switch x and y and make y negative when rotating 90 degrees counterclockwise about the origin.

If the triangle is rotated counterclockwise 90 degrees about the origin, the angle C = (1, 2) will become C = (-1, 2).

What is a triangle?

It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle ABC is located on a coordinate plane.

Angle C is at (1, 2).

This means that,

Angle C = (1, 2) is in the I Quadrant.

We have four Quadrant:

Quadrant I - The coordinates are in the form of (x, y)

Quadrant II - The coordinates are in the form of (x, -y)

Quadrant III - The coordinates are in the form of (-x, -y)

Quadrant IV - The coordinates are in the form of (-x, y)

If we rotate C = (1, 2) counterclockwise 90 degrees about the origin, the angle C will be in the IV quadrant.

So,

C = (1, 2) will become C = (-1, 2)

Thus,

If the triangle is rotated counterclockwise 90 degrees about the origin, the angle C = (1, 2) will become C = (-1, 2).

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

What is the equation of the linear function represented by the table?

x y
–5 14
–2 11
1 8
4 5
y = negative x + 9
y = negative x + 13
y = x + 13
y = x + 9

Answers

Answer:

Answer:

a y=  -x+9

Step-by-step explanation:

Answer:

A.) y = -x + 9





Step-by-step explanation:

Have a great rest of your day
#TheWizzer

what is the slope of 3,2 -1,2​

Answers

Answer: m = 0

..........................

6(2x - 4) = 12w
solve for x

Answers

Answer:

x = w + 2

General Formulas and Concepts:

Order of Operations: BPEMDAS

Distributive Property

Step-by-step explanation:

Step 1: Write equation

6(2x - 4) = 12w

Step 2: Solve for x

Distribute 6:                                       12x - 24 = 12wSubtract 24 on both sides:               12x = 12w + 24Divide 12 on both sides:                    x = (12w + 24)/12Factor GCF:                                        x = 12(w + 2)/12Simplify:                                              x = w + 2

For the bake sale, connie baked 144 cookies. Esther bakes 49 more cookies than Connie.

Answers

Answer:

it is 198 i beleive

Step-by-step explanation: because there's 144 plus 49 so that makes 198

Choose the mixed number that is equivalent to this decimal 3.242424...

Answers

Answer:

3.24 = 3 6/25

Step-by-step explanation:

- Rewrite the decimal number as a fraction with 1 in the denominator.

- Multiply to remove 2 decimal places. Here, you multiply top and bottom by  100

- Find the Greatest Common Factor (GCF) of 324 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 4

- You should end up with that answer..

Open the parallel lines translation application. The right set of parallel lines is a translation right 10 units of the left set of parallel lines. Drag the left set of parallel lines and try to move them onto the right set. Are the two sets of parallel lines the same? What does this mean about how parallel lines change when you translate them?

Answers

Answer:

when translation appears on the axises for any shape or line, the same line would not compare each other.  Just like the parallel lines that I used.  These two lines are not compared to each other.

Step-by-step explanation:

PLEASE HELP ASAP!!!!!!!!!! YOU WILL GET BRAINLEST!!!!!!!!!!!!!!!!

The model represents an equation. What value of x makes the equation true?
A) 3/4
B) 9/2
C) −3/4
D) −9/2

Answers

Answer:

I am not completely sure I think it is A im not positive but I think

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

On the left, we have 7 -Xs and 7 1s. So, the left can be represented by the expression:

[tex]-7x+7[/tex]

On the right, we have 5 (positive) Xs and 16 1s. So, the right can be represented by the expression:

[tex]5x+16[/tex]

They are equal to each other. So:

[tex]-7x+7=5x+16[/tex]

Solve for x. Add 7x to both sides:

[tex]7=12x+16[/tex]

Subtract 16 from both sides:

[tex]-9=12x[/tex]

Divide both sides by 12:

[tex]x=-9/12[/tex]

Reduce:

[tex]x=-3/4[/tex]

So, our answer is C.

What is the measure of angle A?

Answers

Answer: B. 15 degrees. Hope it helped you :) please mark as brainliest!

Simplify the expression
(7v^2 )(10u^3v^5)(8uv^3)

Answers

Answer:

[tex]560v^{10}u^{4}[/tex]

Step-by-step explanation:

Simplify the expression.

NEED HELP PLEASE WORTH 78 POINTS!!!

Answers

27.  1,3,5,15

28.  1,2,3,5,6,10,15,30

29.  1,2,3,6,9,18

30.  1,17

--------------------------------------

31.  30x30=900

32.  12x12x12x12= 20,736

33. 11x11x11= 1331

Your Welcome, have a nice day, and please consider giving me Brainliest! :)

9514 1404 393

Answer:

  27.  15 = 1×15 = 3×5

  28.  30 = 1×30 = 2×15 = 3×10 = 5×6

  29.  18 = 1×18 = 2×9 = 3×6

  30.  17 = 1×17

  31.  base: 30; power: 2; value: -900

  32.  base: 12; power: 4; value: 20,736

  33.  base: 11; power: 3; value: 1,331

Step-by-step explanation:

27-30: The factor pairs can be found by looking at the unique subsets of the set of prime factors. The product of the elements of each subset will be a divisor. The "empty" set can be considered to contain 1. When divisors are listed in numerical order, the factor pairs can be found by pairing factors from each end of the list, working toward the center. If the number is a perfect square, there will be an odd number of divisors, and the center number will be used twice

Examples:

  18 = 2×3×3 (prime factorization).

Subsets of these factors are  {}, {3}, {3}, {3,3}, {2}, {2,3}, {2,3}, {2,3,3}. Then the divisors are 1, 2, 3, 6, 9, 18. The factor pairs are 1×18, 2×9, 3×6.

  25 = 5×5 (prime factorization).

Unique subsets are {}, {5}, {5,5}. Divisors are 1, 5, 25. Factor pairs are 1×25, 5×5.

__

The purpose of an exponent is to indicate repeated multiplication. That is, just as 2×3 means 2+2+2 (repeated addition), the use of an exponent means repeated multiplication: 2³ means 2×2×2.

This idea can be extended to give several rules of exponents--rules for multiplication, division, powers, and roots. All of these rules derive from the basic idea of repeated multiplication.

The number that is repeatedly multiplied is called the base. The exponent is called the power.

In plain text, the caret (^) symbol is used to signify an exponent. If an exponent is other than a single number or variable, it must be enclosed in parentheses, so that there is no confusion regarding what the exponent consists of. (This is an "order of operations" issue, since exponentiation must happen before any other operation.) In typeset math expressions, an exponent is rendered in superscript text.

31. -30^2 = -900 . . . base is 30, power is 2. The minus sign is not part of the base. Again, this interpretation is based on the "order of operations".

32. 12^4 = 20,736 . . . base is 12, power is 4.

33. 11^3 = 1,331 . . . base is 11, power is 3

Find the surface area of the square pyramid (above) using its net (below). *4 by 3* CAN SOMEONE PLZ HELP ME ASAP!!!???

Answers

Answer:

24 units squared

Step-by-step explanation:

you have to first find the area of the base, which is 4 * 4 which is 16. then, to find the area of the triangles, you multiply the base by height, 4 * 3 = 12, and since we have 4 triangles, and one triangle would be (1/2) * base * height, you can multiply this result by 2, which would equal 24

Students make 58.5 ounces of liquid soap for a craft fair. They put the soap in 4.5 ounce bottles and sell each bottle for $5.50. How much do the students earn if they sell all the bottles of liquid soap?

Answers

Step-by-step explanation:

first you want to divide the ounces of liquid soap we have by the ounce bottles we have (58.5 / 4.5 = 13 )

so now we know we have 13 bottles of liquid soap

then you want to multiply the 13 bottles of soap by how much they sell each bottle for ( 13 x 5.50 = 71.50 )

the answer: the students would earn $71.50 if they sell all the bottles of liquid soap

hope that helps :)

1. Consider the following system of equations.
x+y=5
2x-y=-2
The solution to the system of equations: (12,7)
Create a third equation that could be added to the system so that the solution does not change.

Answers

Answer:

x + 5 = 5

Step-by-step explanation:

Solution doesn't change as the x in the equation is 0 and the answer totals as 5 due to 5 plus 0 being 5

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