Three lines intersect at a common point. In the figure below, m∠1=x°, m∠2=2x°, and m∠3=75°


Which equations can be used to determine the value of x? Select all that apply.

Answer:

4 glasses, point is (32,4)

Step-by-step explanation:

Really tired but if you want an explanation, do tell me.

Answer:

The bigger angle is 135, and the smaller angle is 45.

Step-by-step explanation:

First, you have to know that supplementary angles add up to 180°.

We have no equations for the angles, so I will use the variable x for the value of the smaller x.

The reason for this: the problem gave the value of the bigger angle, but relative to the smaller angle. Therefore, it would be safe to assume the use of a variable for the smaller angle.

Since the bigger angle is 3 times as large as the smaller, we can say that the bigger angle is 3x, or 3 times x.

Now, we can put this in an equation: 3x+x=180. Like I said before, both of the angles add up to 180 degrees.

To solve the equation:

1. Combine like terms

4x=180

2. Divide both sides by 4

x=45

Now that we have the value of x, we can plug that in to 3x and x to find the angles.

3*45=135, which is the bigger angle

45, which is the smaller angle.

Answer:

- SWIMMING POOLS A swimming pool is 30 feet long by

12 feet wide by 4 feet deep. A cubic yard of water is

27 cubic feet. How many cubic yards of water can the

pool hold? Round to the nearest tenth.

M

Given:

The area model for [tex]2.1\times 3.2[/tex].

To find:

The value of [tex]2.1\times 3.2[/tex] and the missing values in the area model.

Solution:

2.1 can be written as 2 and 0.1 on the left side of the area model.

3.2 can be written as 3 and 0.2 on the top of area model.

Area of the four parts of the area model are:

[tex]2\times 3=6[/tex]

[tex]2\times 0.2=0.4[/tex]

[tex]0.1\times 3=0.3[/tex]

[tex]0.1\times 0.2=0.02[/tex]

The complete area model is shown below.

After adding all areas of the area model, we get

[tex]6+0.4+0.3+0.02=6.72[/tex]

Therefore, the value of [tex]2.1\times 3.2[/tex] is 6.72 and the missing values of the area model are 0.3 and 0.02 respectively.

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Step-by-step explanation:

Exact Form:

[tex]x=-\frac{1}{2} , \frac{4}{3}[/tex]

Decimal Form:

x=-0.5, -1.¯3

Hope this helps     :)

Answer:

H) 45,000 + 2,500 x = 54,000 + 1,500x

Step-by-step explanation:

Let the number of years be represented as x

For Jerry

Jerry has a new job and earns a salary of $45,000.Jerry will receive a salary increase of $2,500 per year,

The equation is

45,000 + 2,500x

Victoria has a new job and earns a salary of $54,000. and Victoria will receive a salary increase of $1,500 per year.

The equation is :

54,000 + 1,500x

The equation that can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria is given as

Equation for Jerry = Equation for Victoria

45,000 + 2,500x = 54,000 + 1,500x

Option H is the correct option

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

(1 - 4)/(2 -3) = -3/-1 = 3 is the slope

The length of the 1 inch nail weighing 18 mg is 25.4 mm

An equation is an expression showing the relationship between numbers and variables.

Weight is the quantity of matter stored in an object. The SI unit of weight is the kilograms.

1 inch = 0.0254 meter

1 m = 1000 mm

Given the nail is 1 inch, hence:

1 inch = 0.0254 m

0.0254 m = 0.0254 m * 1000 mm/m = 25.4 mm

The length of the nail is 25.4 mm

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Answer:

60 degrees

Step-by-step explanation:

s = r (theta)

(theta) = s/r

= 1 / (3/π) = π/3

as a degree π/3 x 180/π = 60

60 degrees

*Circumference = 2πr

6 = 2πr

r = 6/2π = 3/π

Answer:

The answer is "0.274 and 0.841"

Step-by-step explanation:

Given:

In this question, let X  the binomial random variable with the parameters:

[tex]n = 1000\\\\P = 0.193[/tex]

Calculating the random variable Z:

[tex]Z= \frac{X - np}{\sqrt{np(l - p)}}=\frac{x -193}{12.48}[/tex]

is an approximately regular, cumulative random variable with [tex]\Phi[/tex] specified in the back of the book in the tables.

Using the continuity and tables to calculate:

[tex]\to \mathbb{P} (X > 200) = \mathbb{P} (X\geq 200.5) \approx \mathbb{P}(Z\geq 0.6)=1- \Phi(0.6) \approx 0.274 \\\\\to \mathbb{P} (180 < X < 300) = \mathbb{P} (180.5 \leq X \leq 299.5) = \approx \mathbb{P} (-1 \leq Z\leq 8.53) = \approx 1- \Phi(-1) \approx 0.841[/tex]

(a) The probability that more than 200 persons throughout the sample have a disability will be "0.08691".

(b) The probability that between 180 - 300 people throughout the sample have a disability will be "0.85122".

According to the question,

Majority percentage, P = 19.3% or,

                                       = 0.193

Sample person, n = 1000

Q = 1 - P

   = 1 - 0.193

   = 0.807

By using Normal approx. to Binomial,

→ Mean, E(X) = n × P

By substituting the values,

                     = 1000 × 0.193

                     = 193

Standard deviation, X = √n × p × Q

                                      = √1000 × 0.193 × 807

                                      = 12.4800  

(a)

Z = [tex]\frac{X - \mu}{\sigma}[/tex]

  = [tex]\frac{210-193}{12.48}[/tex]

  = 1.36

The probability be:

→ P(X > 210) = 1 - P (Z < 1.36)

                    = 1 - 0.9131

                    = 0.08691

(b)

Z = [tex]\frac{X - \mu}{\sigma}[/tex]

  = [tex]\frac{180-193}{12.48}[/tex] or, [tex]\frac{300-193}{12.48}[/tex]

  = 8.57

hence,

The probability be:

→ P (180 < X < 300) = P(Z < 8.57) - P(Z < -1.04)

                                = 1 - 0.1488

                                = 0.85122  

Thus the answers above are correct.

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Answer:

3a+5b

Step-by-step explanation:

Variable 1:  a = candy corn

Variable 2: b = chocolate

Inequality 1:  60 ≥ 3a + 5b

Inequality 2: 20 ≤ 3a + 5b

The inequalities are as such because Josh needs to spend no greater than $60.  He must also buy at least 20 bags of candy.  The candy corn costs $3, while the chocolate costs $5.  An expression for the total cost of the candy would be 3a + 5b.

Complete question :

Find the balance in the amount after the given period. 5000 principal earning 7% compounded annually for 7 years

Answer:

8,028.91

Step-by-step explanation:

Given :

Principal, P = 5000

Rate, r = 7% = 0.07

Period, t = 7 years

Using the compound interest formula :

A = P(1 + r/n)^nt

A = final amount ; n = number of compounding times per period

A = 5000(1 + 0.07/1)^(1*7)

A = 5000(1 + 0.07)^7

A = 5000(1.07)^7

A = 5000 * 1.60578147647843

A = 8028.90738239215

Amount saved = 8,028.91

Answer: problem 1 A

Step-by-step explanation:

Answer:

slope 1/2

Step-by-step explanation:

Answer: A. 40%

amount achieved: 600/1000 = 3/5

amount not achieved = 2/5

2/5 as percent is 40%

Answer:

10.93

Step-by-step explanation:

5.9 ÷ 0.54 = 5.9 x 1/0.54 = 5.9/0.54 = 10.93

Answer:

25; 15^2+20^2=625. 25^2=625, therefore the answer is 25.

Answer:

2x² + 7x + 6

Step-by-step explanation:

To solve this polynomial, you need to distribute/multiply, (x+2) with (2x+3).

You would first multiply (x) with 2x and 3. This would give you 2x² and 3x. You would then multiply 2 with 2x and 3. This would give you 4x and 6. You then add the like-terms, which are 3x and 4x, which gives you 7x. This would give you your final expression of 2x² +7x + 6.

(x+2)(2x+3)

2x²+ 3x + 4x + 6

2x² +7x + 6

Answer:

2x^2+7x+6

Step-by-step explanation:

Expand the polynomial (An algebraic expression) using the FOIL (First, Outer, Inner, Last) method.

2x^2+7x+6

(x+2)(2x+3)

First, multiply the variables (x).

(x)(2x) = 2x^2

Then, multiply the whole numbers (2, 3).

(2)(3) = 6

Now, you're not done. You need to multiply the variables and the whole numbers (that weren't already multiplied together)

(x)(3) = 3x

(2)(2x) = 4x

Finally, add them all together, and simplify.

2x^2 + 6 +3x + 4x

=

2x^2+7x+6

Answer:

the variability of the sample results will be reduced, giving greater precision in the estimate.

Step-by-step explanation:

this worked on edg for me!

Answer:

x/x+1

Step-by-step explanation:

[tex]\frac{4n}{4n-4} * \frac{n-1}{n+1}[/tex]

start by reducing the 4n-4 by distributing the 4 to make it 4(x-1)

So the fraction would be 4n/4(x-1)

Now that you have done that you can easily take off the 4 as well as the x-1 thats now in the parentheses

The new equation would be

n*n-1/n+1

Now just multiply:

x/x+1

Answer:

B.) n/(n+1)

Step-by-step explanation:

Answer:

20.4

Step-by-step explanation:

The answer is 2011.4

Answer:B i think if wrong im so sorry

Step-by-step explanation:

Answer:

B 75+25h

Step-by-step explanation:

$75 is the first charge for the service and is constant. $25(per hour) is not constant and changes as the time (hours) changes. That's why it has a h next to it, the h is the variable to hold the place for the hours that would be multiplied in the problem.

Answer:

x = 6

Step-by-step explanation:

3x + 4 = 22

subtract 4

3x = 18

divide by 3

x = 6

Answer:

x=6

Step-by-step explanation:

Subtract 4 from each side of the equation to get 3x=18. divide 18 by 3 to get 6, and divide 3x by 3 to get x. x=6

Answer:

4 1/7

Step-by-step explanation:

16 4/7 ÷ 4 = 4 1/7

Hope this helps!

Answer:

Step-by-step explanation

Remark

The likelihood of an event happening is 28 times out of a hundred.

The chances of it not happening is 72 chances out of a hundred.

Answer:

Unlikely!

Step-by-step explanation:

Answer:

8 feet²

Step-by-step explanation:

A = lw

A = 4(2) = 8 ft squared

Answer:  8 feet squared

Step-by-step explanation:

area=lw

area=4x2

area=8

Answer:

4/9

Step-by-step explanation:

He ate 1/3 of what he found. 2/3 or the 2/3 were left in the fridge.

2/3 · 2/3 = 4/9

Fourth ninths of the pizza is in the fridge.