Solve for x. Each figure is a trapezoid.
12) MK = 23
LJ = 4x - 9

Answer:

1.2×10⁸ is greater than 6×10³ by a factor of 2×10⁴, or 20000.

Step-by-step explanation:

You can solve this simply by dividing the first one by the second one:

[tex]\frac{1.2\times 10^8}{6\times 10^3} \\\\= \frac{1.2}{6} \times \frac{10^8}{10^3} \\\\= \frac{12}{6} \times \frac{10^7}{10^3} \\\\= 2.0 \times 10^4 \\\\[/tex]

Answer:

put the value m=1/2

3m(4m+5)=3

⇒3×1/2(4×1/2+5)+3

⇒3/2(2+5)+3

⇒6/2+15/2+3

⇒37 ans.

Step-by-step explanation:

For the equation, (4m-5)(3m+3)=37 value of m are 2.21 and -1.96

Equation consist of 2 expression equivalent to each other.

Given the following equation:

(4m-5)(3m+3)=37

To calculate the value of m as follows:

4m(3m+3)-5(3m+3)=37

12m²+12m-15m-15=37

12m²-3m-52=0.................................m)

Using discriminant formula:

[tex]d=b^2-4ac.............................1\\x=\dfrac{-b\pm\sqrt d}{2a}............................2[/tex]

Here, from equation m)

a=12, b=-3, c=-52

Substituting in equation 1

d=(-3)²-4(12)(-52)

d=2505

√d=50.04

[tex]m=\dfrac{3\pm 50.04}{2\times 12}\\\\m=2.21 \text{\ and\ } m=-1.96[/tex]

Thus value of m are 2.21 and -1.96

Learn more about an equation, here:

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Complete question:

(4m-5)(3m+3)=37

Answer:

Option D will be your answer

▪ no solution

Step-by-step explanation:

hope it's helpful...

Answer:

Step-by-step explanation:

Using confidence interval concepts, it is found that:

a)

The 99% confidence interval for the proportion of all adult Americans who believe in astrology is (0.244, 0.296).

The interpretation is:

iii. We are 99% confident that this interval contains the true population mean.

b)

A sample size of 664 would be required.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm M[/tex]

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The interpretation of a x% confidence interval between a and b is that we are x% confidence that the true population mean lies in this interval, thus, option iii is correct.

In this problem:

Then:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 2.575\sqrt{\frac{0.27(0.73)}{2005}}[/tex]

[tex]M = 0.026[/tex]

The interval is:

[tex]M - \pi = 0.27 - 0.026 = 0.244[/tex]

[tex]M + \pi = 0.27 + 0.026 = 0.296[/tex]

The 99% confidence interval for the proportion of all adult Americans who believe in astrology is (0.244, 0.296).

Item b:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 2.575\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.05\sqrt{n} = 2.575(0.5)[/tex]

Dividing both sides by 0.05.

[tex]\sqrt{n} = 2.575(10)[/tex]

[tex](\sqrt{n})^2 = [2.575(10)]^2[/tex]

[tex]n = 663.1[/tex]

Rounding up:

A sample size of 664 would be required.

A similar problem is given at https://brainly.com/question/16807970

Midpoint, as the word suggests, means the point which lies in the middle of something.

The correct option is C. P cannot be the midpoint.

Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point which lies in the mid of the given line segment.

here, we have,

Since EN≅NG, therefore, the length of the two segments will be equal, which means P can not be the midpoint of the line segment EG.

Hence, the correct option is C. P cannot be the midpoint.

Midpoint, as the word suggests, means the point which lies in the middle of something.

The correct option is C. P cannot be the midpoint.

Learn more about Midpoint:

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complete question:

attached below.

Answer:

B. Distributive property

Step-by-step explanation:

Because (2 times 7) times 3 is the same as 2 times (7 times 3)

The numbers are just put different, and makes a different answer.

So, just because the answers are the same, doesn't make them commutative property,

Answer:

D

Step-by-step explanation:

It is because you can see the line pass through the value 0 in x-axis while 6 in y-axis which gives the first coordinate (x,y) = (0,6) and the line also past through the value of 5 in x-axis and 1 in y-axis which gives the second coordinate is (1,5).

So it is true that the line did go through at points (0,6) and (1,5).

Answer:

B

Step-by-step explanation:

Other guy is wrong

Answer:

According to the guideline from the Health Department, every over-weight child needs to take a fitness test.

Every ten over-weight children would be randomly grouped together to attend the fitness test. According to

the past experience

Step-by-step explanation:

Answer:

The plane went as as much in mph as he went in 2 hours

ex: 1mph =2 miles in 2 hours

ex2: 48mph =96 miles in 2 hours

Are you trying to solve the following:

Inequality of x or Solve for x or Graph

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x > 3

Interval Notation:

( 3 , ∞ )

Hope this helped and have a good one!

Answer:plot at 50 degres

Step-by-step explanation:

Answer:

4(x-8)(x-3)

Step-by-step explanation:

First take out a factor of 4:

4(x^2 -11x + 24)

Then factor the quadratic

4(x-8)(x-3)

Answer:

n x 2

Step-by-step explanation:

n x 2

4,8,16,32,64,128,256 , 512,1024,2048...

Answer:

1120 ounces

Step-by-step explanation:

1 pound=16 ounces

so 70 pounds =x

just multiply 70 by 16 then you will have the number of ounces

70pounds*16ounces=1120ounces

Answer:

1,120 onces is in 70 pounds

multiply the mass units by 16.

Answer:

point A

Step-by-step explanation:

Answer:

4/9

Hope it helps!!! :)

Answer:

12

Step-by-step explanation:

Answer:

The volume of a solid is the measure of how much space an object takes up

Answer:

Distance=123.28. Two decimal places is reasonable, because it gives a close approximate to the exact answer, while remaining short and easy to use.

Step-by-step explanation:

Use Pythagorean theorem.

90^2+90^2=c^2

8100+8100=16200

The square root of 16200 is 127.279220614

127.279220614~127.28

Answer:

Step-by-step explanation:

Answer:

801/1000 and 0.801

Step-by-step explanation:

A percentage is basically a number, with the decimal point moved to the right 2 places, so to convert the percent to a decimal, move the decimal point to the left twice, and then you will also get your fraction.

Hope this helps!

Answer:

$90.67

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The lines cross at (1,4)

I don't know sorry but I recommend using quizlet

Answer:

C is your answerrrr

can i have brainliest?

Step-by-step explanation:

Answer:

The answer is c

this is the answer because Find the least common denominator or LCM of the two denominators:

LCM of 3 and 8 is 24

Next, find the equivalent fraction of both fractional numbers with denominator 24

For the 1st fraction, since 3 × 8 = 24,

1/3 = 1/3 × 3/8 = 8/24

Likewise, for the 2nd fraction, since 8 × 3 = 24,

3/8 = 3/8 × 1/3= 9/24

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

8/24 < 9/24

or 1/3 < 3/8

Answer:

150 hours or 6.25 days

Step-by-step explanation:

5 days = 120 hours

120 hours × 1.25 hours = 150 hours

150 hours = 6.25 days

HOPE THIS HELPS!!!

-Silver

Answer:

6.25 hours

Step-by-step explanation:

1 ¼ × 5 = 6.25