AB is parallel to CD.
AB = BC∠ BCD = 20°.
Work out x explaining each stage of your working in the comment box.

DIAGRAM IS NOT TO SCALE

Answer:

the pattern seems to be to multiply by 4 so the answer would be 524,288

Step-by-step explanation:

8×4= 32×4= 128×4= 512×4= 2048×4= 8192×4= 32768×4= 131072×4= 524,288

The 9th term of the given geometric sequence is 524288.

Geometric Progression is a series/sequence in which every term is a product of its previous term and a constant. The first term is taken as 'a' and the constant is taken as 'r'. So the series goes on like a, ar, ar², ar³, ......, arⁿ⁻¹, where arⁿ⁻¹ represents the nth term.

We are said that the given sequence is a geometric progression.

We take the first term as a.

∴ a = 8.

The second term is given as 32. This term is the product of the first term 'a' and the constant 'r', that is, this term is ar. To find the value of r, we divide this term by a.

r = ar/a = 32/8 = 4.

The 9th term in the sequence can be found using the formula of the nth term given by,

nth term = arⁿ⁻¹.

∴ 9th term = 8*4⁹⁻¹ = 8*4⁸ = 8*65536 = 524288.

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Answer:

Step-by-step explanation:

the graph correspond to the function f :

Answer:

[tex]s^2t^2[/tex]

[tex]4(s\cdot t)[/tex]

[tex]-6(s^2+t)[/tex]

Step-by-step explanation:

We want to select all the terms that are not considered to be like terms with [tex]-6s^2t[/tex].

The terms that are like terms with [tex]-6s^2t[/tex] must have [tex]s^2t[/tex].

It doesn't matter the coefficient.

So we can easily see that all the following are not like terms with [tex]-6s^2t[/tex]:

[tex]s^2t^2[/tex]

[tex]4(s\cdot t)[/tex]

[tex]-6(s^2+t)[/tex]

Answer:

2. 1/13     3. 6/11     6. no, it would be about 66 people, which is less.

Step-by-step explanation:  2. since there is 4 7's you would have 4/52, -52 is how many cards total there are- and then you would simply 4/52 and get 1/13     3. there is a total of 11 marbles and 6 of them are blue so you have a 6/11 chance of getting a blue one.     54% of 124 is 66.96 which is about 66, and less than 82. ( sorry I don't know what 5 is )

Answer:

[tex]m\angle CAB=102\dfrac{6}{7}^{\circ}\\ \\m\angle ABC=51\dfrac{3}{7}^{\circ}\\ \\m\angle ACB=25\dfrac{5}{7}^{\circ}[/tex]

Step-by-step explanation:

AK is angle A bisector, then

[tex]m\angle BAK=m\angle KAC=x^{\circ}[/tex]

BL is angle B bisector, then

[tex]m\angle ABL=m\angle CBL=y^{\circ}[/tex]

Consider triangle ABL. The sum of the measures of all interior angles in this triangle is [tex]180^{\circ},[/tex] then

[tex]m\angle BAL+m\angle ALB+m\angle LBA=180^{\circ}\\ \\2x+2y+y=180\\ \\2x+3y=180[/tex]

Consider triangle ABK. In this triangle,

[tex]m\angle AKB=180^{\circ}-2x^{\circ} \ [\text{Supplementary angles}][/tex]

The sum of the measures of all interior angles in this triangle is [tex]180^{\circ},[/tex] then

[tex]m\angle BAK+m\angle AKB+m\angle KBA=180^{\circ}\\ \\x+(180-2x)+2y=180\\ \\2y-x=0[/tex]

Hence,

[tex]x=2y\\ \\2(2y)+3y=180\\ \\4y+3y=180\\ \\7y=180\\ \\y=\dfrac{180}{7}=25\dfrac{5}{7}\\ \\x=\dfrac{360}{7}=51\dfrac{3}{7}[/tex]

Find the measures of the triangle ABC:

[tex]m\angle CAB=2x^{\circ}=102\dfrac{6}{7}^{\circ}\\ \\m\angle ABC=2y^{\circ}=51\dfrac{3}{7}^{\circ}\\ \\m\angle ACB=180^{\circ}-102\dfrac{6}{7}^{\circ}-51\dfrac{3}{7}^{\circ}=25\dfrac{5}{7}^{\circ}[/tex]

The problem is asking to find all angles of an isosceles triangle ABC with angle bisectors AK and BL. The given conditions imply that the triangle has angles of 45°, 45°, and 90°.

The student is asking about an angle bisector problem in triangle geometry. In triangle ABC, the angle bisectors AK and BL are drawn such that m∠BAC = m∠AKC and m∠ABC = m∠ALB. To solve this problem, we need to use the properties of angle bisectors and triangles.

Since AK is an angle bisector, it bisects ∠BAC into two equal angles. Similarly, BL bisects ∠ABC into two equal angles. We also know that the sum of angles in a triangle is 180 degrees.

Let's denote m∠BAC and m∠AKC as 'x'. Similarly, let's denote m∠ABC and m∠ALB as 'y'. Since AK and BL are bisectors, m∠BAK = m∠CAK = x and m∠ABL = m∠CBL = y. Hence, ∠ACB would be 180 - 2x - 2y (sum of angles in a triangle).

We are given that m∠BAC is equal to m∠AKC and m∠ABC is equal to m∠ALB. This implies that the triangle is isosceles with the following angle measurements: m∠BAC = m∠ABC = x (equal base angles in an isosceles triangle), and m∠ACB = 180 - 2x.

Now, since m∠BAC and m∠ABC are equal, we can say that 2x + (180 - 2x) = 180. Simplifying, we find that x = 45 degrees, and thus, all angles of triangle ABC are 45°, 45°, 90°.

The required difference is 160-yard average drives after two lessons.

The percentage is defined as a ratio expressed as a fraction of 100.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been given that before lessons, her drive averaged 240 yards.

Here her drive average = 240 yards

After her first lesson, her drives increase by 25%.

Therefore her drive 2 = 240 + 0.25(240) = 320 yards

After her second lesson, they increase another 25%.

Therefore her drive 3 = 320 + 0.25(320) = 400 yards

So, the required difference in yards of average drives after two lessons

⇒ 400 - 240 = 160 yards

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The first four terms of sequence is 20, -10, -40, -70

Solution:

Given that we have to find the first four terms of sequence

Given recursive formula is:

[tex]a_n = 20 - 30(n-1)[/tex]

To find the first term, substitute n = 1

[tex]a_1 = 20-30(1-1)\\\\a_1 = 20-30(0)\\\\a_1 = 20[/tex]

Thus the first term of sequence is 20

To find the second term, substitute n = 2

[tex]a_2 = 20-30(2-1)\\\\a_2 = 20-30(1)\\\\a_2 = 20-30\\\\a_2 = -10[/tex]

Thus the second term of sequence is -10

To find the third term, substitute n = 3

[tex]a_3 = 20-30(3-1)\\\\a_3 = 20-30(2)\\\\a_3 = 20-60\\\\a_3 = -40[/tex]

Thus the third term of sequence is -40

To find the fourth term, substitute n = 4

[tex]a_4 = 20-30(4-1)\\\\a_4 = 20-30(3)\\\\a_4 = 20-90\\\\a_4 = -70[/tex]

Thus the first four terms of sequence is 20, -10, -40, -70

Answer:

The return of My Chemical Romance.

Answer:

It means...EVERYTHING.

Step-by-step explanation:

Answer:

Step-by-step explanation:

6/8 - 1/7

And 6/8 = 3/4

The LCM of 7 and 4 = 28

3/4 - 1/7 = {7(3) - 1(4)}/28

= (21 - 4)/28

= 17/28

Answer:

Step-by-step explanation:

∠AOB = 90 degree.

∠BOC = 52 degree.

Arc CDE = 180 degree, since CE is the diameter.

Hence, Arc EAC = 180 degree.

Besides, Arc EAC = Arc EA + Arc AB + Arc BC = Arc EA + 90 + 52 = Arc EA + 142.

Thus, Arc EA = 180 - 142 = 38 degree.

Arc ADC = 180 + 38 = 218 degree.

Answer:

B

Step-by-step explanation:

[tex]5+7.50+8.25+8+9.75+10.25+11+10.75 = 70.5[/tex]

[tex]70.5 \div 8 = 8.8125[/tex]

Answer:

1.63

Step-by-step explanation:

first we find the average of the numbers listed...do this by adding up all the numbers, then dividing by how many numbers there are.

(5 + 7.5 + 8.25 + 8 + 9.75 + 10.25 + 11 + 10.75) / 8 = 70.5 / 8 = 8.8125

now find the distance between the average and each of ur numbers.... IGNORE ALL NEGATIVE SIGNS

5 - 8.8125 = 3.8125

7.5 - 8.8125 = 1.3125

8.25 - 8.8125 = 0.5625

8 - 8.8125 = 0.8125

9.75 - 8.8125 = 0.9375

10.25 - 8.8125 = 1.4375

11 - 8.8125 = 2.1875

10.75 - 8.8125 = 1.9375

now take the average of those numbers

(3.8125 + 1.3125 + 0.5625 + 0.8125 + 0.9375 + 1.4375 + 2.1875 + 1.9375) / 8 =

13/8 = 1.625...rounds to 1.63 <=== this is ur MAD

Jessica have 98 paint brush.

Along with addition, subtraction, and division, multiplication is one of the four fundamental arithmetic operations. The repeated addition of groups of equal size is referred to as multiplying in math.

Given Jessica has 7 times brushes as Mike,

Mike has 14 Brushes,

let Jessica have x brushes,

equation for problem is x = 7m

where m is no. of brushes Mike have

x = 7 × 14

x  = 98

Hence the number of paint brushes Jessica have is 98.

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Answer: 3x + 1 < 5 which has the same scale as x < 4/3

Step-by-step explanation:

Scale balance involves operating on each side of an equation or inequality, by adding, subtracting, multiplying, or dividing by a certain quantity, without changing the equilibrium of the equation or inequality.

The rules are easy,

* Everything you add to, subtract from, divide with, or multiply by one side of an equation or inequality must be done to the other side.

On Inequalities <, >, ≥, and ≤

* Anything you add, subtract, divide or multiply by the left hand side, the same must be done to the right hand side.

* Anytime you divide by a negative quantity, the inequality changes, and you must change the inequality sign.

Change < to > and vice versa.

Change) ≤ to ≥ and vice versa.

Example

Consider the following inequality.

3x + 1 < 5

subtract 1 from both sides of the inequality

3x + 1 - 1 < 5 - 1

3x < 4

Divide both sides of the inequality by 3

3x/3 < 4/3

x < 4/3

Here is another example.

Consider the following inequality

2y + 1 ≤ 5y + 9

Subtract 1 from both sides

2y + 1 - 1 ≤ 5y + 9 - 1

2y ≤ 5y + 8

Subtract 5y from both sides

2y - 5y ≤ 5y + 8 - 5y

-3y ≤ 8

Divide both sides by -3, but remember, DIVIDING BY A NEGATIVE QUANTITY CHANGES THE INEQUALITY .

-3y/-3 ≥ 8/(-3)

y ≥ -8/3 or -2⅔

I hope this helps, good luck.

Answer:

x

Step-by-step explanation:

Answer:

A. 3.5 × 100

Step-by-step explanation:

( 7 × 10⁵ ) × ( 5 × 10⁻⁴ )

(7×5) ×10^(5+(-4))

(7×5) × 10^(5-4)

35 × 10

350

350 is equivalent to 3.5 × 100

Standard form , or standard index form, is a system of writing numbers which can be particularly useful for working with very large or very small numbers.

It is based on using powers of 10 to express how big or small a number is.

Standard form uses the fact that the decimal place value system is based on powers of 10:

10^0 = 1

10¹ = 10

10² = 100

10³ = 1000

10⁴ = 10,000

In laws of indices a² × a³ = a^(2+3)

6x−4−4x+8 = 6x+−4+−4x+8 and then combine like terms =6x+−4+−4x+8

=(6x+−4x)+(−4+8)

Answer: 2x+4

Answer:

2x + 4

Step-by-step explanation:

(6x-4) + (-4+8)

combine like terms:

6x - 4x

-4 + 8

(6x - 4x) + (-4+8)

= 2x +4

plz mark brainliest i just need 3 more until expert plz plz plz

I think the answer would be (0,0).

Hope this helps! ;)

Answer: (0,0)

Step-by-step explanation: Just confirming, this is the right answer :)

Answer:

work is shown and attached

9514 1404 393

Answer:

  C)  $47

Step-by-step explanation:

The arrowhead on the graph shows the discount of an item with an original price of 8 is 4. That is, the discount is half the original price.

The discount on $94 will be half that price, or ...

  $94/2 = $47 . . . discount on $94

Answer:

An expression

Step-by-step explanation:

Answer:

D) 7/30

Step-by-step explanation:

5/6-3/5=25/30-18/30=7/30

To isolate b, add a and subtract c to the entire equation:

D - a + c = -b

Muliply b by -1 to eliminate the negative:

-D + a - c = b

Answer:

x = -1/4 = -0.250

Step-by-step explanation:

To find the value of f(-1), substitute -1 into the given function and evaluate it to get 42.

To find the value of f(-1) for the given function f(x) = (2/3) * 3(3x + 12), we substitute x = -1 into the function and evaluate it.

Plugging in x = -1, we have f(-1) = (2/3) * 3(3(-1) + 12).

Simplifying further, f(-1) = (2/3) * 3(9 + 12).

f(-1) = (2/3) * 3(21).

f(-1) = (2/3) * 63 = 42.

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Answer:

x= all real numbers

Step-by-step explanation:

the absolute value of x is always 0. and 0 is greater than -9

Answer:

7.6667

Step-by-step explanation:

46÷6=7.6667

brian buys 7.6667 apples i believe.

but please round depending on question

Answer:

Becky scored 28

Min scored 14.  Together = 42

Step-by-step explanation:

The points scored by Becky will be equal to 28.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The points scored by Becky will be calculated as:-

Let Min score M points and Becky score B points. so the equation will be given as from the given data:-

B  =  2M

B  +  M   =  42

Now put the value of B in the second equation:-

2M   +   M  = 42

3M   =  42

M  =   14

B  +  M =  42

B  =  42  -  14  =  28

Therefore the points scored by Becky will be equal to 28.

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Answer:

110

Step-by-step explanation:

Subtract the greater value (115) by the smaller value (105) and this gives you the answer 10. So the distance between the two values is 10. Divide this by 2 to find the midpoint, and you get 5. You can either add 5 to the smaller value, or subtract 5 from the bigger value, either way you would get the answer of 110.

Answe110

Step-by-step explanation: