AC and DG are parallel. Find the value of x, show CLEARLY how you got your answers with reasons

Answer:

a) 5x - 9 = 3x + 3

5x - 3x = 3 + 9

2x = 12

x = 12 / 2

x = 6

b) x + 6 = 34 - x

x + x = 34 - 6

2x = 28

x = 28 / 2

x = 14

[tex] \: (a)5x - 9 = 3x + 3 \\ 5x - 9 - 3x = 3 \\ 2x - 9 = 3 \\ 2x = 3 + 9 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6 \\ (b) \: x + 6 = 34 - x \\ x + 6 + x = 34 \\ 2x + 6 = 34 \\ 2x = 34 - 6 \\ 2x = 28 \\ x = \frac{28}{2} \\ x = 14[/tex]

Answer:

1  11/21

Step-by-step explanation:

Use common denominator of 3 * 7 = 21

2/3 * 7/7 = 14/21

6/7 * 3/3 = 18/21

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

14/21 + 18/21 = 32/21

Reduce

32/21 = 1  11/21

Answer: 1 11/21

Step-by-step explanation:

Data: 2/3+6/7=x

Step one, Find the common denominator

(2/3)x7(for each number)=14/21

(6/7)x3(for each number)=18/21

Reason: To add fractions, you always have to find the common denominator(so you can make the denominator the same for each fraction). The common denominator of 3 and 7 is 21 and since what you do to the bottom has to be done to the top, you multiply 2 by 7 and 6 by 3 to end up with 14/21 and 18/21.

Step two, add

14/21+18/21=32/21=1 11/21

Reason: Since we have our common denominators, we just have to add and, with fractions, you only add the top(numerator) and not the bottom(denominator) you end up with 32/14 but when made into a mixed fraction(by dividing the bottom into the top and leaving the remainder on the top) you get 1 11/21 which can't be simplified.

So since it can't be simplified, it's your answer

I hope this helps!

Answer:

The First answer

Step-by-step explanation:

56 divided by 2 is the radius which is 28 and that squared times pi is 2464

Answer:

x = 0

Step-by-step explanation:

-2(x-4)=4x+2x+8

Distribute

-2x +8 =4x+2x+8

Combine like terms

-2x+8 =6x+8

Add 2x to each side

-2x+2x+8 =6x+2x+8

8 = 8x+8

Subtract 8 from each side

8-8 = 8x+8-8

0 = 8x

Divide by 8

0=x

Answer:

x = 0

Step-by-step explanation:

-2(x-4) = 4x+2x+8

-2x+8 = 6x+8

8-8 = 6x+2x

0 = 8x

x = 0

Hope this will help and if so, then please mark me as brainliest.

Answer:

12/25 = 48/100 = .48 = 48%

Step-by-step explanation:

Answer:

Step-by-step explanation:

(1).

(a). 1 m ≈ 3.28 ft.

128 m ≈ 419.84 ft.

(b). 1 yd. ≈ 0.0009144 km

3910 yd. ≈ 3.58 km

(2). 1 m ≈ 0.0006214 mi.

10 000 m ≈ 6.2 mi.

Answer:

The angle measurement is 61.218°

Step-by-step explanation:

I used a triangle calculator

Answer:

£9000

Step-by-step explanation:

= £10 000× 5 ×2

100

= 1000

= £10 000-1000

= £9000

Answer:

X'(-3, -2), Y'(-5, 1), and Z'(2, -3)

Answer:

k=.25068

Step-by-step explanation:

450 = 100 [tex]e^{6k}[/tex]

4.5 =   [tex]e^{6k}[/tex]

ln(4.5) = 6k

k= ln(4.5)/6

k=.25068

The number of bacteria after 13 hours will be 2579.

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent," it can be represented as 2x2x2x2=25 for the number 32. This phrase should be understood as "two to the fifth power."

Given that a biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts one hundred bacteria into what he has determined to be a favourable growth medium. Six hours later, he measures 450 bacteria.

The bacteria after 13 hours will be calculated as,

[tex]N=100(e)^{13\times 0.25)[/tex]

[tex]N = 100\times e^{3.25}[/tex]

N = 2579.

Therefore, the number of bacteria after 13 hours will be 2579.

To know more about an exponential expression follow

https://brainly.com/question/12940982

#SPJ2

Answer:

the answer is A

Step-by-step explanation:

sorry if im worng

Answer:

6

Step-by-step explanation:

sqrt(36)

sqrt(6^2)

6

Answer:

6

Step-by-step explanation:

18 * 2 = 64

√64 = 6

Answer:

w

Step-by-step explanation:

Monday = 4

Tuesday = 1/3 w  (where w is the miles walked on Wednesday)

Wednesday = w

Total = 24

4 + 1/3 w + w = 24

Combine like terms

4 + 4/3 w = 24

Subtract 4 from each side

4/3 w = 20

Multiply each side by 3/4

w = 20 *3/4

w = 15

In the equation when we start, we need to put the variable, not the solution

At the end we have the solution

B : 7.9......................

Answer:

7.9

Step-by-step explanation:

15 + 12 + 5 + 9 + 7 + 2 + 5

55

55 ÷ 7

[tex]\frac{55}{7}= 7\frac{6}{7}=7.85714285714[/tex]

7.85714285714 rounds to 7.9

Answer:

x = 18

Step-by-step explanation:

The 2 angles lie on a straight line and sum to 180° , then

x - 6 + 8x + 24 = 180

9x + 18 = 180 ( subtract 18 from both sides )

9x = 162 ( divide both sides by 9 )

x = 18

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND :}}}[/tex]

The value of [tex]x[/tex].

[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { x\:=\:18}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

➪ [tex]x[/tex] - 6 + 8[tex]x[/tex] + 24 = 180°

➪ 9[tex]x[/tex] + 18 = 180°

➪ 9[tex]x[/tex] = 180° - 18

➪ 9[tex]x[/tex] = 162

➪ [tex]x[/tex] = [tex]\frac{162}{9}[/tex]

➪ [tex]x[/tex] = 18

Therefore, the value of [tex]x[/tex] is 18.

Now, the two angles are:-

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]

✒ 12° + 168° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\sf\blue{Hence\:verified.}[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]

Step-by-step explanation:

my answer is an image above

Answer: 0.3 repeating as a fraction is equal to 1/3explanation:

Answer:

8428

Step-by-step explanation:

According to the Question,

We have a number sequence  13, 18, 23, ...

Substitute the given values into the equation to solve for the sum of the 56 rows of seats.

[tex]S_56= \frac{56}{2}[2(13)+(56-1)(5)]\\S_{56}=28\left[26+275\right]\\S_{56}=28\left[301\right]\\S_{56}=8428[/tex]

Therefore, there are 8428 seats in all.

Answer:

Step-by-step explanation:

The discriminant comes from the quadratic formula. We use the discriminant to determine, before factoring, what types of solutions we can expect when we do factor. In the quadratic formula, the discriminant is under a square root sign. If the number under a square root sign is negative (meaning the discriminant is negative), we will not have real number solutions because you can't have a negative number under a square root. So a is your choice.

Answer:

a

Step-by-step explanation:

Answer: 13 dots

Step-by-step explanation:

You're basically adding 4 each time around, so number 1 is 1 dot, then number 2 is 5 dots because you added 4, number 3 is 9 dots because you added 4, etc.

Answer:

T4 = 13

Step-by-step explanation:

Using arithmetic progression

Tn = a + (n - 1)d

Where a - first term

n - n^th term

d - common difference

Answer:

y = 1/3 x +4

Step-by-step explanation:

m = 1/3

3 = 1/3(-3) + b

3 = -1 +b

b=4

Answer:

x = -7       y = 35

Step-by-step explanation:

-5x = -7x - 14

2x = -14

x = -7

y = -5(-7)

y = 35

Answer:

3000

Step-by-step explanation:

30%×100=3000

then the profit is=

4200-3000=1200

Answer:

$189.74

Step-by-step explanation:

Since the sales tax is 6%,

179x0.06=10.74

Add to the starting price, 179.00+10.74=189.74!

I hope this helped!

Answer:

(-5/2, 4)

Second quadrant

Step-by-step explanation:

Mathematically, we can calculate the midpoint using the formula;

(x,y) = (x1 + x2)/2, (y1 + y2/2

We have;

(x,y) = (-4-1)/2, (3+5)/2

(x,y) = (-5/2, 4)

to get the quadrant, as we can see, this is negative x and positive y and that makes it the 2nd quadrant

Answer:

f=1

Step-by-step explanation:

Answer:

Then vaule of f is 1

Step-by-step explanation:

The vaule of f is 1 because 7 x 1 = 7 - 1 =6

Answer:

intercepts are (-6/11 , 0) and ( 6,0 )

Answer:

1. (4,1,2,3,5)

Step-by-step explanation:

Since all the members of set A are present in "1"

Answer:

50 boys

Step-by-step explanation:

The number of groups = 24

The average number of children = 16

The new average number of children when one group is added = 18

The ratio of boys to girls in the group that just joined = 5:6

The initial number of boys = 220

Let the initial number of children

The initial total number of children = 24 × 16 = 384

The initial number of girls = 384 - 220 = 164

The final number of children = 25 × 18 = 450

The number of children in the group that joined in the game = 450 - 384 = 66

The ratio of boys to girls in the group = 5:6

Therefore, we get;

The number of boys = 66 × 5/11 = 30

The number of girls = 66 - 30 = 36

The number of boys at the end = 220 + 30 = 250

The number of girls at the end = 164 + 36 = 200

The number of more boys than girls at the end = 250 - 200 = 50

The number of more boys than girls at the end = 50 boys