In the figure below, m angle a=3x+5;m angle b=5x-18 , and m angle c=7x-2 .

Answer:

4(6 + 5)

Step-by-step explanation:

Given summation:

             24 + 20

The greatest common factor:

  Factors of:

                   24  = 1, 2, 3, 4, 6, 8, 12 and 24

                   20 = 1, 2, 4, 5, 10 and 20

the gcf  = 4;

     24 + 20  = 4(6 + 5)

This shows the gcf and distributive property

Answer:

The y-coordinate of the point is approximately 2.42.

Step-by-step explanation:

From the figure attached below the statement we derive the following equation to calculate the y-coordinate ([tex]y[/tex]), dimensionless, of the point in terms of the x-coordinate ([tex]x[/tex]), dimensionless, and angle of the line ([tex]\theta[/tex]), measured in sexagesimal degrees:

[tex]y = x\cdot \tan \theta[/tex] (1)

If we know that [tex]x = 6[/tex] and [tex]\theta = 22^{\circ}[/tex], then the y-coordinate of the point is:

[tex]y = 6\cdot \tan 22^{\circ}[/tex]

[tex]y\approx 2.42[/tex]

The y-coordinate of the point is approximately 2.42.

Answer:

The value  is  [tex]n = 384 [/tex]

The correct option is a

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =  0.05

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of   is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally since the sample proportion is not given we will assume it to be

      [tex]\^ p = 0.5[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>   [tex]n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5) [/tex]

=>   [tex]n = 384 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

Generally if the level of confidence increases,  the critical value of  [tex]\frac{\alpha }{2}[/tex]  increase and from the equation for margin of error we see the the critical  value varies directly with the margin of error , hence the margin of error  will increase also  

So  If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.

Answer:

B

Step-by-step explanation:

3(2+1)

3(3)

9

that how i solved it

Answer:

$0.75

Step-by-step explanation:

$3.45 ÷ 34 lb. = $0.10 per pound (rounded)

$0.10 x 7.5 = $0.75

It would cost $0.75 to buy 7.5 lbs of chopped walnuts

I'm sorry if wrong! You are loved and you are beautiful/handsome!

-Bee

bro my teacher be making us do questions and when i search them up they arent answered like tfk ughhh

Answer:

28 – 16 ÷ 8 – 4382224 = -4382198

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplifying

28 + 12x = 8x + -4

Reorder the terms:

28 + 12x = -4 + 8x

Solving

28 + 12x = -4 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

28 + 12x + -8x = -4 + 8x + -8x

Combine like terms: 12x + -8x = 4x

28 + 4x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0

28 + 4x = -4 + 0

28 + 4x = -4

Add '-28' to each side of the equation.

28 + -28 + 4x = -4 + -28

Combine like terms: 28 + -28 = 0

0 + 4x = -4 + -28

4x = -4 + -28

Combine like terms: -4 + -28 = -32

4x = -32

Divide each side by '4'.

x = -8

Simplifying

x = -8

Answer:

what is

Step-by-step explanation:

The sample proportion of the teenagers 13 to 17 years of age who use social media​ is 0.236.

Sample proportion is defined as the proportion of something from a given sample which has a particular characteristic.

The formula to calculate the sample proportion is,

p = Number of successes in a particular sample / Sample size

Given that,

a random sample of n = 330 teenagers 13 to 17 years of age was asked if they use social media.

Sample size = 330

Of those surveyed, 252 stated that they do use social media.

We have to find the proportion of teenagers 13 to 17 years of age who use social media​.

Number of failures = 252

Number of successes = 330 - 252 = 78

Sample proportion = 78 / 330 = 0.236

Hence the sample proportion is 0.236.

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Answer:

Congurent triangles are those which map onto them selves perfectly. This means they share the same angle measurements and side lengths. Therefor we can figure out the side lengths by using the information in both triangles.

AD=5x+11

in the congurent triangle, the corresponding side equals:

CM=7x-3

CM and AD are congurent triangles meaning their sidelengths equal the same. Therefore...

5x+11=7x-3

Now we just solve to find the length of AD and CM (equal lengths)

5x+11=7x-3

11=2x-3

14=2x

7=x

x=7

If x=7 then we can plug it in for AD to find the side length.

5(7)+11=46

Notice that CM equals the same 7(7)-3=46

This is because... they are congruent triangles.

These rules also apply for all angle measurements of congruent triangles:

The m<v is equal to the meaasure of E (corresponding angles in congrurent triangles are equal)

We already astablished what x was (x=7) meaning if we find the measure of E then we have the measure of V sicne they are corresponding angles in a congrurent triangle.

(6x7+1)=43°

therefore the m<v is equal to 43°

46 and 43° is your answer

Step-by-step explanation:

Answer:

30 full pages but you would have 13 stamps left

Step-by-step explanation:

Answer: 30 pages

Step-by-step explanation:

Answer:

120*3.5=420+180=600

Which means it took her about 4 and half days.

Step-by-step explanation:

Answer:

$8.28

Step-by-step explanation:

So, first we must find the price per ticket so we do

13.80/5 = 2.76

So the $2.76 per ticket

So now all we do to find the price of three tickets we times the price per ticket by 3

2.76 x 3 = $8.28

Answer:

50%

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

32 Divided by 2 equals 16

Answer:

Step-by-step explanation:

a

Answer: x > 5/-4

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The quadratic equation has two complex (nonreal) solutions option (B) is correct.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

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

We have a quadratic equation:

3x² + 4x = - 5

or

3x² + 4x + 5 = 0

D = b² - 4ac

b = 4, a = 3, c = 5

D = (4)² - 4(3)(5)

D = 16 - 60

D= -44

D < 0

Two complexes (nonreal) solutions

Thus, the quadratic equation has two complexes (nonreal) solutions option (B) is correct.

Learn more about quadratic equations here:

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Answer:

A. 2.50

Step-by-step explanation:

25 ÷ 2 = 12.5

15 - 12.5 = 2.50

Answer:

ADGTSGADADASDAWDSDWA

Step-by-step explanation:

AADASDWADS

Answer:

have one what ?

Step-by-step explanation:

also thats cute. when i was in sixth grade, i was homeschooled.

Answer

Ok good luck in school!

Answer:

One person collects $60  in a week what how many money will it have?

Step-by-step explanation:

Answer:

it's option 3, 1/10. Hope this helps

W is the time Woody family used sprinkler.

C is the time Carter family used sprinkler.

Time used total: 50 hours.

W+C = 50                                 (1)

Total water used is 1900 L.

Woody family used: 40W;

Carter family used 35C.

Equation showing how much water both families used:

40W + 35 C =1900.                   (2)

We have a system with two equations and two variables. We can use substitution method to solve the system. From equation (1) we express W:

W=50 - C.                                              (1a)

We substitute the variable in equation (2):

40(50 - C) +35C =1900.

We open the parenthesis

2000 -40C +35C =1900,

We combine like terms

2000 -5C =1900,

We subtract 2000 from both sides of the equation

-5C = 1900 - 2000,

We simplify

-5C = -100,

We divide by -5

C = 20.

We substitute the values of C in the equation (1a) and find the value of W:

W = 50 - C,

W = 50 -20 =30.

The Woody family used water for 30 hours and the Carter family used water for 20 hours.

We check our work to be sure we did not make any mistakes:

Total water used:

40 x 30 + 35 x 20 = 1200 + 700 = 1900 L.

Answer:

(a) 0.198 cm/s (b) 1 cm/s

Step-by-step explanation:

It is given that,

The rate of change of area of a cicle, [tex]\dfrac{dA}{dt}=5\ cm^2/s[/tex]

(a) The area of a circle is given by :

[tex]A=\pi r^2[/tex]

Differentiate both sides,

[tex]\dfrac{dA}{dt}=2\pi r\dfrac{dr}{dt}\\\\\text{Put the value of dA/dt and r = 4 cm}\\\\\dfrac{dr}{dt}=\dfrac{dA/dt}{2\pi r}\\\\\dfrac{dr}{dt}=\dfrac{5}{2\pi \times 4}\\\\\dfrac{dr}{dt}=0.198\ cm/s[/tex]

(b) Circumference, [tex]C=2\pi r[/tex] = 5 cm

[tex]\dfrac{dA}{dt}=2\pi r\dfrac{dr}{dt}\\\\\dfrac{dr}{dt}=\dfrac{dA/dt}{2\pi r}\\\\\dfrac{dr}{dt}=\dfrac{5}{5}\\\\\dfrac{dr}{dt}=1\ cm/s[/tex]

Hence,

(a) 0.198 cm/s (b) 1 cm/s

Answer:

120

Step-by-step explanation:

18/100 x 600 = 108

estimate = round 18 to 20

20/100 x 600 = 120