8. ABCD is a quadrilateral. Work out the size of y.
B
2y
A
68°
y +48°
D
C​

Answer:

20

Step-by-step explanation:

If lines m and n are parallel, then the labelled angles would be considered alternate exterior angles. By definition, such angles are of the same value.

Thus, we set the two expressions of 4x - 23 and 2x + 17 equal:

4x - 23 = 2x + 17

Subtract 2x from both sides and add 23 to both sides:

2x = 23 + 17 = 40

Divide by 2:

x = 40/2 = 20

The answer is thus 20.

~ an aesthetics lover

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

Alternate exterior angles are a pair of equal angles on opposite sides of the transversal.

[tex]4x-23=2x+17[/tex]

[tex]4x-23+23=2x+17+23[/tex]

[tex]4x=2x+40[/tex]

[tex]4x-2x=2x+40-2x[/tex]

[tex]2x=40[/tex]

[tex]\frac{2x}{2}=\frac{40}{2}[/tex]

[tex]x=20[/tex]

Answer:

150°

Step-by-step explanation:

to find the individual angle of a REGULAR dodecagon (which means that all sides are equal), you'd use the equation I(individual angle)= (n-2)×180/n

N is number of sides. The number of sides on a dodecagon is 12. So, substitute N for 12

I= (12-2)×180/12 which simplifies to 10×180/12

10×180= 1800

1800/12 = 150

so, an individual interior angle of a dodecagon is 150°

Answer:

Neither, they have a solution

Step-by-step explanation:

Use a sheet of graphing paper and graph the equation using the y-intercept and slope.

Answer:

9

Step-by-step explanation:

2n+4=22

2n=18

n=9

Answer:

-8/9

Step-by-step explanation:

First of all you have to make -1/3 into a fraction that you can add with (-5/9).

-1/3 turns into -3/9.

-3/9 + (-5/9) is -8/9

Answer:

[tex] - \frac{8}{9} [/tex]

Step-by-step explanation:

We know that,

[tex]( + ) \times ( - ) = ( - )[/tex]

lets solve

[tex] - \frac{1}{3} + ( - \frac{5}{9} ) \\ - \frac{1}{3} - \frac{5}{9} \\ = \frac{ - 1 \times 3 - 5}{9} \\ = \frac{ - 8}{9} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

132 degrees is the measure of angle ABC.

Step-by-step explanation:

ABD = 180 because it is a straight line.

BCD = 48

ABD - BCD = 180 - 48

180 - 48 = 132

Answer:

ABC =132

Step-by-step explanation:

The two angles form a straight line so they add to 180

ABC + 48 = 180

Subtract 48 from each side

ABC +48-48 = 180-48

ABC =132

Answer: 195

Step-by-step explanation: 5*13*6=390

390/2=195

Answer:

195

Step-by-step explanation:

Answer:

x = -8

Step-by-step explanation:

4 (x − 1) − 4 (x + 2.5) = x − 6

Distribute

4x -4 -4x -10 = x-6

Combine like terms

-14 = x-6

Add 6 to each side

-14+6 = x-6+6

-8 =x

Answer:

-8 =x

Step-by-step explanation:

4 (x − 1) − 4 (x + 2.5) = x − 6

4x -4 -4x -10 = x-6  (Distribute )

-14 = x-6  (Combine like terms )

-14+6 = x-6+6 (Add 6 to each side)

-8 =x

I hope this helps!

Answer:

Equation:

21 = 1 + m

Solution:

20 = m

Step-by-step explanation:

What we know:

We know that Karim drank 21 cups of milk in a day. In an equation, that would look like this:

21 =

What does 21 equal?

The amount of milk Karim drank at breakfast plus the amount of milk Karim drank after breakfast.

21 = milk at breakfast + milk after breakfast

Let's substitute what we know into this equation:

21 = milk at breakfast + milk after breakfast

21 = 1 + m

Now that we have our equation, let's solve.

21 = 1 + m

-1    -1

20 = m

Therefore, Karim drank 20 cups of milk after breakfast.

For the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

Box and wishkers plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

The minimum and the maximum values in the box plot is plotted at the end points.

The following set of data which i s given in the problem.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

The minimum value in the given data is 3. Thus, the min is 3.

First quartile appears at 6. Thus, the value of Q1 is 6.

The middle value of the given data is 12 which appears at the center of all the values. Thus the med is 12.

Second quartile appears at 14.5. Thus, the value of  second quartile Q2 is 6.

The minimum value in the given data is 17 as shown in the image attached below. Thus, the min is 17.

Hence, for the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

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Answer:

y=-5/2x-1/2

Step-by-step explanation:

HOPE THIS HELPS:)

STAY SAFE:)

Answer:

8.25 pounds

Step-by-step explanation:

When you multiply 12 and 11 you get 132. So then you would have to divided the total amount of ounces by 16 to get the amount of pounds

Answer:

A

Step-by-step explanation:

Since the shape of both graphs is the parent parabola form, and g(x) is just shifted up 2 instead of 5, its equation is [tex]2-x^2[/tex], or answer choice A. Hope this helps!

Answer:

A. x

C. x – 5

D. x + 2

Step-by-step explanation:

From the question above, we are asked to find the factors of an algebraic expression that is given as:

x³ - 3x² - 10x

We would use the step of factorisation

Step 1

x(x² - 3x- 10)

The first factor of the algebraic expression has been obtained = x

Step 2

We factorise x² - 3x - 10

x² +2x - 5x - 10

(x²+2x) - (5x - 10)

x(x + 2) -5(x + 2)

(x + 2)(x - 5)

Step 3

x³ - 3x² - 10x

x(x² - 3x- 10)

(x)(x + 2)(x - 5)

Therefore, the factors of the algebraic expression are:

(x), (x + 2), (x - 5)

Answer:

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

by linear pair

(2x+4)+(x+23)=180

2x+4+x+23=180

3×+27=180

3x=180-27

x=153/3

×=51

Answer:

Step-by-step explanation:

2x + 4 + x + 23 = 180     {linear pair of angles}

3x + 27 = 180

3x = 180 - 27

3x = 153

x = 153/3

x = 51°

Answer: 15 degrees

Step-by-step explanation:

180 degrees - 165 degrees = 15 degrees

Answer:

(-1,-2)

Step-by-step explanation:

I graphed the equation on the graph below so you can see that (-1,-2) is a solution.

Answer:

Step-by-step explanation:

(h o g) (-5) means the composition of the two functions, or h [ (g(-5) ].

This is, you first calculate g(-5) and then h [ g (-5) ].

So, g ( -5) = 2 * ( - 5) = - 10

And h (-10) = (-10)^2 + 4 = 100 + 4 = 104.

The root index of 5 start root 13 cubed End root is [tex]13^\frac{3}{5}[/tex].

If 'n' is a positive integer that is greater than 1, and 'a' is a real number then "n √a = [tex]a^\frac{1}{n}[/tex]  where 'n' is root index, 'a' is base and '√' is radical".

According to the question,

5 start root 13 cubed end root can be written in root index form.

If 'n' is a positive integer that is greater than 1, and 'a' is a real number then "n √a = [tex]a^\frac{1}{n}[/tex]  where 'n' is root index, 'a' is base and '√' is radical".

= [tex]13^\frac{3}{5}[/tex].

Hence, the root index of 5 start root 13 cubed End root is [tex]13^\frac{3}{5}[/tex].

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Answer: D

Step-by-step explanation:

you're welcome

Answer:

10( 3/4x  * 9/500y ) = 10  

Step-by-step explanation:

We know 18% can also be found

when we take the x amount 75 x 0.18 = 13.50

We thereafter find 75-13.50 = 61.50 for Janella's hair cost plus $13.50 tip.

But for x = 750 x 9/500 = 10

We find  13.50 = 10

x= 1.5

18% coincidentally is 13.5 and 13.5 x 1.5 = 18

So we could redesign and use 18 in the equation

An equation that could be used to calculate the tip, y, for a bill total of x dollars is y=0.18x.

Given that, Janella has her hair styled and wants to tip her stylist 18%.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the tip be y and total bill be y.

So, tip y = 18% of total bill x

⇒ y = 18% of x

⇒ y = 18/100 × x

⇒ y = 0.18x

Therefore, an equation that could be used to calculate the tip, y, for a bill total of x dollars is y=0.18x.

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Answer:

maximum point: (0, 4)

x-intercepts: (2, 0), (-2, 0)

y-intercepts: (0, 4)

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

Explanation:

For me, it helps to graph everything on the same xy coordinate system. Start with the given graph and plot the points shown in the table. You'll get what you see in the diagram below.

The blue point C in that diagram is on the red parabola. This point is the x intercept as this is where both graphs cross the x axis. Therefore, they have a common x intercept.

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

Side notes:

Answer:

x= 9

Step-by-step explanation:

(3x + 4) and 50 are complementary angle

=> (3x + 4) + 50 = 90

-> 3x+4 = 40

-> 3x = 36

-> x= 9

Answer:

Distance of segments AB and CD = 12

Step-by-step explanation:

AB+BC + CD = 6+6+6 = 18inch

midpoint AB = 6/2 = 3

midpoint CD =6/2 = 3

Midpoint AB+Midpoint CD = 3+3 = 6

To solve we just 18-6 = 12

Distance of segments AB and CD = 12

Answer:

its 12

Step-by-step explanation:

Distance of segments AB and CD = 12

Answer:

-2019

Step-by-step explanation:

Well you can calculate it.

2018 * 2020 + 1 = 4076361

Square root is 2019.

Since x is negative, the answer is -2019

An equation is a mathematical assertion that is made up of expressions connected by an equal signal. as an instance, 3x – five = sixteen is an equation. solving this equation, we get the fee of the variable x as x = 7.

A variable is used to symbolize something unknown. for instance x, y, z. An expression no longer has an identical signal. as an instance 4 + 10. An equation is made up of 2 expressions and has an identical signal.

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Two thirds divided by one sixth is 4

Answer:

It is number four

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

17/12 = 1  5/12

1×12+5=17