Simplify: x + (x-y) + y + (y-x)

Answer:

140° and 40°

Step-by-step explanation:

let x be one angle then the other is [tex]\frac{1}{2}[/tex] x - 30

Since the angles are a linear pair, theis sum is 180° , then

x + [tex]\frac{1}{2}[/tex] x - 30 = 180, that is

[tex]\frac{3}{2}[/tex] x - 30 = 180 ( add 30 to both sides )

[tex]\frac{3}{2}[/tex] x = 210 ( multiply both sides by 2 to clear the fraction )

3x = 420 ( divide both sides by 3 )

x = 140

and [tex]\frac{1}{2}[/tex] x - 30 = [tex]\frac{1}{2}[/tex] (140) - 30 = 70 - 30 = 40

The 2 angles are 140° and 40°

Answer:

because they have 3 sides

Step-by-step explanation:

Answer:

The correct answer is where red goes to orange.Blue goes to green and yellow goes to green

Answer:

The correct answer is where red goes to orange.Blue goes to green and yellow goes to green:

Answer:

19. 4(x-4)

20. 6(3k+7)

21. prime

22. 4(5m-2n)

23. 14p-14= 14(p-1)

24. 35+5r= 5(7+r)

25. 10x - 14y= 2(5x- 7y)

Step-by-step explanation:

19.4(x-4)

20. 6*3k + 7*6

6(3k+7)

22. 2*5m - 2 * 4n

2(5m - 4n)

23. 9p + 5p -6-8

14p - 14

Answer:

60 sides

Step-by-step explanation:

The formula for the sum of the interior angles of a polygon with n sides is 180(n -2). The problem also tells you that each angle is 174, so the sum of the interior angles would also be 174n.

Then, you get the equation

180(n - 2) = 174n

180n - 360 = 174n

6n = 360

n = 60 sides.

Answer:

answer is 42 in²

:-)))

....

Answer:

23 marbles

Step-by-step explanation:

Number of children = 10

Number of marbles = 180

Since Betsy gets the most and no 2 children gets the same number of marbles

The least number of marbles Betsy could get will be x ; with the other 9 children receiving 1 less each

That is :

Betsy = x

9th child = x - 1

8th child = x - 2,... 1st child = x - 9

Hence,

(x + x - 1 + x - 2 + x - 3 + x - 4 + x - 5 + x - 6 + x - 7 + x - 8 + x - 9) = 180

10x - 45 = 180

10x = 180 + 45

x = 225 / 10

x = 22.5

x = 23

Hence, the least Betsy could get is 23 marbles

Answer:

x ≥ -7

Step-by-step explanation:

Divide both sides by 6

Then to graph it, you can make a number line

Answer:

Step-by-step explanation:

Solve 6x ≥ − 42for x by dividing both sides by 6.  We get:

x ≥ − 7

Now draw a vertical line (solid) through x = -7.

Finally, shade the area including and to the right of x = -7.

Answer:

Def. D

Step-by-step explanation: Hope this helps!!!

Answer:

-64

Step-by-step explanation:

If i'm not mistaken and this is times then it is just

-32 times 2

which is -64.

-

Have a wonderful day and best of luck!

Answer:

1. Look at the screenshot below.

2. If a line intersects a parabola at a point, the coordinates of the intersection point must satisfy the equation of the line and the equation of the parabola.

Since the equation of the line is y = c, where c is a constant, the y-coordinate of the intersection point must be c.

It follows then that substituting c for y in the equation for the parabola will result in another true equation: c = −x^2 + 5x.

Subtracting c from both sides of c = −x^2 + 5x and then dividing both sides by −1 yields 0 = x^2 − 5x + c.

The solution to this quadratic equation would give the x-coordinate(s) of the point(s) of intersection.

Since it’s given that the line and parabola intersect at exactly one point, the equation 0 = x^2 − 5x + c has exactly one solution.

A quadratic equation in the form 0 = ax^2 + bx + c has exactly one solution when its discriminant b 2 − 4ac is equal to 0. In the equation 0 = x^2 − 5x + c, a = 1, b = −5, and c = c.

Therefore, (−5)^2 − 4(1)(c ) = 0, or 25 − 4c = 0.

Subtracting 25 from both sides of 25 − 4c = 0 and then dividing both sides by −4 yields c = 25/4 .

Therefore, if the line y = c intersects the parabola defined by y = −x^2 + 5x at exactly one point, then c = 25/4 .

Either 25/4 or 6.25

Answer:

Step-by-step explanation:

13:6

Another way to write this is 13/ or 13: or 13 to 6.

Step-by-step explanation: Here is my work:

It pretty sloppy but as long as it helps you!

Answer:

nine is a number added to four

Answer:

nine is a number added to four

Answer:

14 1/3 feet

Step-by-step explanation:

let 's' = shortest side

let '4s + 1' = longest side

let '3 + s' = middle side

s + 4s + 1 + 3 + s = 24

6s + 4 = 24

6s = 20

s = 20/6 or 3 1/3

longest side: 4 · 10 + 1

                             3

= 40/3 + 1

= 13/ 1/3 + 1

= 14 1/3

Answer:

  A, B, C, F, G

Step-by-step explanation:

The above-listed properties are inherited from a parallelogram. The properties not inherited from a parallelogram are ...

  D (diagonals are angle bisectors) is inherited from a rhombus

  E (congruent diagonals) is inherited from a rectangle

  H (perpendicular diagonals) is inherited from a rhombus

Answer:

its 120 degrees

Step-by-step explanation:

add up all the know angles (110.60,70) then take that number and subtract it from 360, (360 is the number you get if you add all sides four sided shape)  

The measure of the value of g is, 60° by definition of alternate angles of parallel lines.

Parallel lines are those lines that are equidistance from each other and never intersect each other. and, Parallel lines are lines in a plane that are always the same distance apart and never intersect. But Perpendicular lines are lines that intersect at a right (90 degrees) angle.

We have to given that;

Two parallel lines are shown in image.

And, The measure of b = 110°

Here,

By the figure, we have;

A transverse line cut the parallel lines.

And, Both angles 60 and g are alternate angles of parallel lines.

We know that;

The alternate angles of parallel lines are equal to each other.

Hence, The value of measure of g = 60°

So, We get by the definition of alternate angles of parallel lines,

⇒ The measure of g = 60°

Learn more about the parallel line visit:

brainly.com/question/30195834

#SPJ2

Step-by-step explanation:

You have to do first and second derivatives :

y = a sin 3x + b cos 3x

dy/dx = 3a cos 3x - 3b sin 3x

d²y/dx² = - 9a sin 3x - 9b cos 3x

Next, you have to compare it :

let d²y/dx² = ky,

-9a sin 3x - 9b cos 3x = k(a sin 3x + b cos 3x)

-9(a sin 3x + b cos 3x) = k(a sin 3x + b cos 3x)

Therefore, k is equals to 9.

Answer:

2. Isosceles triangle

3. Isosceles triangle

4. Isosceles triangle

5. Equilateral triangle

6. Scalene triangle or Isosceles triangle

Step-by-step explanation:

Answer:

2) Isosceles triangle

3) Scalene Triangle

4) Scalene Triangle

5)  Equilateral Triangle

6) Isosceles triangle

Step-by-step explanation:

the image should help you

Answer:

ASA (Angle-Side-Angle) Congruency Postulate

Step-by-step explanation:

In ΔCDE & ΔABF ,

∴ ΔCDE ≅ ΔABF by ASA congruency postulate.

Answer:

x intercept: -13/2

y intercept: 26

Step-by-step explanation:

x intercept of the line is the point where y = 0

Substitute y = 0 into the expression;

0 - 6 = 4(X+5)

-6 = 4x + 20

4x = -6-20

4x = -26

x = -26/4

x = -13/2

y intercept is the point where x = 0

y - 6 = 4(0+5)

y-6 = 20

y = 20+6

y = 26

Answer:

C.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point (5, 1)

Point (9, -6)

Step 2: Identify

x₁ = 5, x₂ = 9

y₁ = 1, y₂ = -6

Step 3: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Here,

two points are (5,1) and (9,-6)

So,

x1=5

x2=9

y1=1

y2= -6

we know that,

Distance formula:- [tex]\bold{D=\sqrt{(x_2 - x_1 )^2+(y_2 - y_1)^2} }[/tex]

According to the question,

Distance between (5,1) and (9,-6)

[tex]\bold{D=\sqrt{(5-9)^2+(1-\{-6\})^2} }[/tex]

[tex]\bold{D=\sqrt{(5-9 )^2+(1+6)^2} }[/tex]

so,

option C is correct..

Answer:

8

Step-by-step explanation:

7 = 2

× 4

28 = 8

hope this helps...

Answer:

200.000 because it's lower than 250

Step-by-step explanation:

pls give brainly

Answer:

226.67 is the answer

Answer:

15.51

Step-by-step explanation:

Answer:

15.51

Step-by-step explanation:

The calculator is $49.50.

The radio is $114.99.

First, we add them together.

49.50+114.99 = 164.49

that is the total cost of both the radio and calculator.

Next, we subrtact  180.00-164.49= 15.51.

Answer:

7

Step-by-step explanation:

To evaluate, substitute x = 2 into f(x), that is

f(2)= 2(2)² - 1 = 2(4) - 1 = 8 - 1 = 7