AB and CF are parallel find x
Show CLEARLY how you got your answers with reasons

Answer:

x = 102

z = 21

Step-by-step explanation:

x and 78 are same side alternate exterior angles, so they are supplementary.

x + 78 = 180

x = 102

5z - 27 and x are a linear pair, so they are supplementary.

5z - 27 + x = 180

5z - 27 + 102 = 180

5z = 105

z = 21

Answer:

The price after a 30% discount would be 0.3p and the price after a 70% discount would be 0.7p.

Step-by-step explanation:

When you turn the percentages into decimals, 30% will be changed into 0.3, and when you change 70% into a decimal, it would be 0.7 (Move the decimal at the end two spaces over to the right like this: 70.% -> 7.0 -> 0.7)

Answer: x = 78°

opposite angles have the same value

Answer:

78 degree

Step-by-step explanation:

x = 78 degree (being vertically opposite angle)

Answer:

Step-by-step explanation:

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Answer:

684 in^2

Step-by-step explanation:

SA = 2 ( l*w + l*h+ w*h)

SA = 2( 6*15 + 6*12+ 15*12)

     = 2( 90+72+180)

    = 2(342)

    = 684 in^2

Answer:

We want to graph:

y = -4*sin(2*x) + 1

Such that the x-axis starts at x = 30

This is trivial to do if we use a program to graph or if we graph by hand, here we just need to draw the x-axis such that it crosses the y-axis at the point (30, 0)

Then let's graph the equation in that axis, we will get an image like the one you can see below.

Answer: c

Step-by-step explanation:

In order to be parallel, the slope must be the same. This means slope is 2

Now one of the point is 5,-1, so do 2x5 + x = -1, so x = -11

meaning b is -11

so the equation should be y=2x-11

Answer:

22, 25, 28, 31

Step-by-step explanation:

The question is mixed up. The only clear question is:

Given:

4, 7, 10, 13, 16, 19

Required

Write the next 4

Notice that the rule of the above sequence is to "add 3". So, the next 4 numbers is gotten by adding 3 to the previous number on the sequence.

The next 4 are:

[tex]19 + 3 = 22[/tex]

[tex]22 + 3 = 25[/tex]

[tex]25 +3 = 28[/tex]

[tex]28 + 3= 31[/tex]

The domain is set of all x-values. From an ordered pair (x,y) the domain would be the value of x. That means y-value is clear out since it is not domain but range or co-domain.

Given the set of relations below:

R = {(3,-2), (1,2), (-1,-4), (-1,2)}

The domain would be {3,1,-1} which if we arrange from least to greatest, we'd get {-1,1,3}. Remember that we don't write the repetitive numbers or same two numbers in the set.

Answer

Answer:

1428

Step-by-step explanation:

1700x0.04=68 (How much the car will decrease per year)

68x4=272 (How much the car will decrease in four years)

1700-272=1428 (Value of car in four years)

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer:

line r or MB

Step-by-step explanation:

Answer:

only line r

Step-by-step explanation:

the question is what is perpendicular to (has an angle of 90 degrees with) AM.

line r is.

line s has no right angle with AM (even the extended line beyond these points).

MB is parallel to AM. in fact it is on the same line. so, they have 0 degrees and not 90.

JK is just a part of line s, and the same as for line s applies.

Answer:

∠ 1 = 128°

Step-by-step explanation:

∠6 = 7x + 3                                 [ vertically opposite angles ]

∠6 = 4x + 24                               [ corresponding angles ]

7x + 3 = 4x + 24

7x - 4x = 24 - 3

3x = 21

x = 7

∠1 + ( 4x + 24 )= 180°                           [ straight line angles ]

∠1 + 4 ( 7 ) + 24 = 180°                      [ Substituting x = 7 ]

∠ 1 + 28 + 24 = 180°

∠ 1 = 180 - 24 - 28

∠ 1 = 128°

Answer:

All I know is it isn’t B. Sqrt 2^5

Step-by-step explanation:

Answer:

60 to 60

Step-by-step explanation:

It says 120 students passed in both and mathematics is only twice so 120 divided by 2 is 60

Answer:

-3x - 11

Step-by-step explanation:

4x - 8 - 7x - 3

Simplify by combining like terms

4x - 7x = -3x

-8 - 3 = -11

were left with -3x - 11

Answer:

[tex]-3x-11[/tex]

Step-by-step explanation:

4x - 8 - 7x - 3

Combine Like Terms

4x - 7x = -3x

Combine Like Terms

- 8 - 3 = - 11

Final Answer: -3x - 11

A

D

E

F

When solving a problem we must understand what variable represents as well as its units.We must also understand what types of numbers it could be,whether positive,negative,decimals,fractions,etc

Answer:

c

Step-by-step explanation:

Answer:

it's B (g+4)(g+10)

Step-by-step explanation:

you don't have to subtract when finding the dimensions

Answer:

15 cm²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Area of a Rectangle: A = lw

Step-by-step explanation:

Step 1: Define

Identify variables

l = 5 cm

w = 3 cm

Step 2: Find Area

Answer:

3/2

Explanation:

To divide by a fraction multiply by the reciprocal of that fraction

9/10×5/3

reduce the numbers with greatest common factor 3

3/10×5

reduce the numbers with the greatest common factor of 5

3/2 is your answer

The fraction 9/10 divided by 3/5, in simplest form, is 3/2.

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 3/5 is 5/3.

So, we have:

(9/10) ÷ (3/5) = (9/10) x (5/3)

Next, we multiply the numerators and denominators:

= (9 x 5) / (10 x 3)

= 45/30

To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 15:

= (45/15) / (30/15)

= 3/2

Therefore, 9/10 divided by 3/5, in simplest form, is 3/2.

Learn more about Fraction here:

https://brainly.com/question/10354322

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Answer:

300

Step-by-step explanation:

to find volume u will have to multiply the length x width x breadth which is 5x5x12=300

Answer:

a) 120

Step-by-step explanation:

B is twice the size of A

Answer:

Number of small boxes shipped = 7

Number of large boxes shipped = 15

Step-by-step explanation:

Let the number of small boxes = s

And the number of large boxes = l

Weight of small box = 25 pound

Weight of the large box = 50 pounds

Total weight of the shipment = 925 pounds

Therefore, equation for the weight of shipment will be,

25s + 50l = 925

s + 2l = 37 ----- (1)

Total number of boxes shipped = 22 boxes

Therefore, equation will be,

s + l = 22 ------(2)

Subtract equation (2) from equation (1)

(s + 2l) - (s + l) = 37 -22

l = 15

From equation (2)

s + 15 = 22

s = 7

Therefore, number of small boxes shipped = 7

Number of large boxes shipped = 15

Answer:

Surface area of sphere = 1,344.8 m² (Approx)

Step-by-step explanation:

Given:

Volume of sphere = 1,476π m³

Find;

Surface area of sphere

Computation:

Volume of sphere = [4/3]πr³

1,476π = [4/3]πr³

1,476 = [4/3]r³

[1,476][3/4] = r³

1,107 = r³

r = 10.35 m (Approx.)

Surface area of sphere = 4πr²

Surface area of sphere = 4(3.14)(10.35)²

Surface area of sphere = 4(3.14)(107.1225)

Surface area of sphere = 1,345.45

Surface area of sphere = 1,344.8 m² (Approx)

Answer:

D

Step-by-step explanation:

D on edg

Answer:

10

Step-by-step explanation:

-14+15 leaves a positive 1

-11+20 leaves a positve 9

add.

The correct answer for the equation is: solutions (2,0) and (5,3).

According to the question, the expression can be simplified by substituting the values in the expression:

Therefore the required expression can be written as:

(x = 2; y = 0) and (x = 5; y = 3)

[tex]y = x-2 = 2-2 =0[/tex]

[tex]y = x-2 = 5-2 =3[/tex]

Both the solutions satisfied the given expression.

(x = 2; y = 0) and (x = 5; y = 3)

[tex]y=x^{2} -6x+ 8 = 4 -12+8=0[/tex]

[tex]y=x^{2} -6x+ 8 = 25 -30+8=3[/tex]

Both the solutions satisfied the given expression.

Hence, the correct answer for the equation is: solutions (2,0) and (5,3).

What is simplification?

The word simplification is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.

To learn more about the simplification from the given link:

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