A student said that the sum of the measures of a pair of adjacent angles must equal 180°. Is the student correct?
Choose the correct answer and explanation
OA) The student is correct; adjacent angles must share a common vertex and sum to 180°
OB) The student is not correct; two adjacent angles form a right angle, so the sum is always equal to 90°
OC) The student is correct; any pair of adjacent angles forms a straight line, and the angle measure of a straight line is 180°
D) The student is not correct; a pair of adjacent angles must share a common vertex, share a common side, and not overlap. They
may equal 180° but do not have to

Answer:

X = 7.8

Step-by-step explanation:

First I will mark all the Information given to us:

Angle 1: 52 Degrees

Angle 2: 90 (Marked by the box) Degrees

Angle 3: 180-(90+52) Triangle Angle Sum Therom

Simplified Angle 3: 38 Degrees

Height: 10

Base: X
Hypo: ? (we will call this y)

In order to solve this problem we must use basic trig functions such as sin, cos and tan.

I will be applying sin for the degree measure of 52 as it is applicable there.

(Sin for refrence sin(angle measure)= side opposite to angle/hypo)

So this would be in our case:

Sin(52)=10/y

Simplify

y sin(52) = 10

y = 10/sin(52) (use a calculator make sure sin is in degrees not radians)

y=10/0.78801

y=12.69018 (We have our hypo value)

We can now apply a²+b²=c²

a²+10²=12.69018²

a²+100=161.040668432 (Calculator)

a²=61.040668432

a=√61.040668432 (calculator)

a=7.81285277168

Rounded to the nearest tenth

7.8 =a=x (X is the a value in this equation)

The journal entry to record payroll expenses is ​Salaries and Wages Expense: $23,400 debit; Salaries and Wages Payable: $6,350 credit.

In order to record the salaries and wages, the journal entry is to debit the Salaries and Wages Expense account. This is because money is leaving the company account.

The total deductions represent future payments. Thus it would be credited to the Salaries and Wages Payable account.

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Answer: C. Salaries and Wages Expense: $23,400 debit; Salaries and Wages Payable: $17,050

Step-by-step explanation:

The equation represents the cost (in dollars) and shipping a package that weighs x pounds is y = 2(x - 1) + 6.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound.

Let x be the number of pounds and y be the total cost, then we have

y = 2(x - 1) + 6

This is the required equation that describes the condition.

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Answer:

Its A on edge, f(x)=6+2[x-1]

Step-by-step explanation:

, where x > 0

For the regression equation and e the number of kilowatt-hours, in thousands, for a six-room house  is mathematically given as

Y = 1.33-0.667X and  5.3332

Generally, the equation for the  standard deviation  is mathematically given as

[tex]s[/tex]ₓ =[tex]\sqrt{\frac{\sum\(X-\=X)^2}{n-1} }[/tex]

= [tex]\sqrt{\frac{66.9}{10-1} }[/tex]

= 2.72

[tex]s_y[/tex] = [tex]\sqrt{\frac{36.4}{10-1} }[/tex]

= 2.01

therefore correlation coff

r = [tex]\frac{44.6}{(10-1)(2.72)(2.01)}[/tex]

r = 0.9038

In conclusion the regression equation is given

b = r_sy/sx

b = (0.9038)(2.01/2.72)

 = 0.667

intercept

a = 7.4-0.667(9.1)

a = 1.33

The regression equation is

Y = 1.33-0.667X

(b) number of kilowatts x = 6 house

Y = 1.33-0.667X

Y = 1.33-0.667(6)

 = 5.3332

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Answer:

no. so the first answer I got was 4.12 and the other 16

Step-by-step explanation:

4×(1+3%)

3%=0.03

0.03+1= 1.03

1.03*4= 4.12

4*(1+3)

1+3=4

4*4=16

I hope that helps you

Answer:

6

Step-by-step explanation:

1st You have to find what percent is 7 for 28. (25%)

2nd You have to use that 25% in the 24. You have to find what is 25% of 24 (6)

There is your answer

Have a good day!

Using the scale factor, the volume of the larger similar shaped box is 497.6in³.

A scale factor is simply the ratio of the corresponding sides of two similar objects. A scale factor of 4 simply means that the new shape is multiply four times the size of the original shape.

Given the data in the question;

Since scale factor of 4 means that the new shape is multiply four times the size of the original shape.

Volume of the larger box V = V° × SF

V = 124.4in³ × 4

V = 497.6in³

Therefore, using the scale factor, the volume of the larger similar shaped box is 497.6in³.

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Answer:

y = 150x

Step-by-step explanation:

If y = savings and they save $150 each month then you can just multiply $150 by each month to get the total savings

Answer:

to grow bacterial cultures

Answer:

A

Step-by-step explanation:

To show that circle A is similar to circle B the step required is Dilate circle A by a scale factor of 2 option (A) is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have two circles:

Circle A has a center of (2, 3) and a radius of 5

Circle B has a center of (1, 4) and a radius of 10

The standard circle's equation can be written as:

(x - h)² + (y - k)² = r²

The equation for circle A:

(x - 2)² + (y - 3)² = 5²

The equation for circle B:

(x - 1)² + (y - 4)² = 10²

To show that circle A is similar to circle B:

It is required to perform the geometric transformation:

Dilate circle A by a scale factor of 2.

The radius of circle A is 5 units and after dilation by a scale factor of 2, the radius of the circle becomes 10 which is the radius of circle B.

Thus, to show that circle A is similar to circle B the step required is Dilate circle A by a scale factor of 2 option (A) is correct.

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Answer: Explicit Rule: a_n=30,000 • 2^n-1

Recursive Rule: a_n = 2a_n-1; a_1 = 30,000

Step-by-step explanation: the explicit rule for a geometric sequence is a_n = a_1 • r^n-1 and the recursive rule is a_n= r • a_n -1.
a_1 is the first term of the sequence, which is this case is 30,000. R is the common ration, which is 2 since it doubles each time. Substitute those numbers into the formulas and that’s what you’ll get. Hope this helps. God bless you!!!

Answer:

your answer will be 13×14-34

148

Hope it helps.

Do comment if you have any query.

Answer:

452

Step-by-step explanation:

5424/12 is equal to 452

Each person pay $452.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A group of 12 friends bought a boat costing $5,424.

Now,

Since. A group of 12 friends bought a boat costing $5,424.

Hence, The cost of each person pay = $5,424 / 12

                                                         = $452

Thus, Each person pay $452.

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Answer:

6 inches

Step-by-step explanation:

1 inch = 2.54 cm.

 1 cm = 1/2.54 inches.

14 cm = 14/2.54

14 cm, when rounded to nearest inch, results in around 6 inches.

Answer:

(5, 1 )

Step-by-step explanation:

3x + 3y = 18 → (1)

5x + 3y = 28 → (2)

subtract (1) from (2) term by term to eliminate y

(5x - 3x) + (3y - 3y) = 28 - 18

2x + 0 = 10

2x = 10 ( divide both sides by 2 )

x = 5

substitute x = 5 into either of the 2 equations and solve for y

substituting into (1)

3(5) + 3y = 18

15 + 3y = 18 ( subtract 15 from both sides )

3y = 3 ( divide both sides by 3 )

y = 1

solution is (5, 1 )

[tex]x=6-y[/tex]

[tex]x=\frac{28-3y}{5}[/tex]

The equation of curve of best fit is y = -30.17x + 14.49. To find the curve of best fit, we would require two equations which are explained in details below.

Data;

The equation of straight line is y = ax + b

If we modify it to fit into this problem,

[tex]\sum y = na + b \sum X ... equ(i)\\\sum xy = a \sum x + b \sum x^2 ...equ(ii)[/tex]

Let's substitute the values into the equations and solve

[tex]\sum y = na + b \sum X ... equ(i)\\\sum xy = a \sum x + b \sum x^2 ...equ(ii)\\50.9 = 6*a + b*16 ...equ(i)\\24.6 = a*16 + b*35 ...equ(ii)\\50.9 = 6a + 16b ...equ(i)\\24.6 = 16a + 35b ...equ(ii)[/tex]

Let's solve both equation (i) and equation (ii)

[tex]50.9 = 6a + 16b...equ(i)\\24.6 = 16a + 35b ...equ(ii)\\a = -30.17, b = 14.49[/tex]

We can substitute the values of a and b into the equation

[tex]y = ax + b\\y = -30.17x + 14.49[/tex]

The equation of curve of best fit is y = -30.17x + 14.49

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Answer:

C = 12.57 inches

Step-by-step explanation:

C=2πr

C=πd=π·4≈12.56637in

The months where the difference in salinity of surface and bottom waters was the greatest was in April and September.

It should be noted that salinity simply means the accumulation of salt in land as well as water.

In this case, the months where the difference in salinity of surface and bottom waters was the greatest was in April and September.

This is because many events take place such as continuous flowing or river water into the sea, evaporation, and melting of ice.

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Answer:

135 degree is the measure of angle A

Answer:

[tex]\huge\boxed{\bf\: p = -4}[/tex]

Step-by-step explanation:

p/4 + 8 = 7

Bring 8 to the left side of the equation.

p/4 = 7 - 8

p/4 = - 1

Bring 4 to the other side.

p = - 1 * 4

p = - 4

[tex]\rule{150pt}{2pt}[/tex]

Answer:

Step-by-step explanation:

To find the value of p, isolate it on one side of the equation.

p/4+8=7

First, you have to subtract by 8 from both sides.

p/4+8-8=7-8

Solve.

p/4=-1

Then, you multiply by 4 from both sides.

4p/4=4(-1)

Solve.

Multiply the numbers from left to right.

4(-1)=-4

[tex]\Longrightarrow: \boxed{\sf{p=-4}}[/tex]

I hope this helps! Let me know if you have any questions.

The series of questions is based on the entire concept of chemical equations. This is shown by balanced reaction equations.

A reaction equation shows the reactants and the products in a reaction. We shall now answer the questions individually;

1) The reactants in this equation are CaO and CO2. The product is CaCO3.

2) The simplest molecule that is formed between carbon and hydrogen is CH4 with the structure shown in the image attached.

3) The balanced equations are;

a) Na3PO4 + 3HCl -----> H3PO4 + 3NaCl

b) 2KClO3 → 2KCl  + 3O2

4)

a. 2NaBr + Ca  ----->CaBr2 + 2Na

b. 2Mg + O2  ------->2MgO

5) 3H2SO4 + 2Al -------> Al2(SO4)3 + 3H2

6) CH4 + 202 ---->CO2 + 2H2O

7)

a. molar mass of sucrose = 12(12) + 22(1) + 11(16) = 144 + 22 + 176 = 342 g/mol

b. molar mass of glucose = 6(12) + 12(1) + 6(16) = 72 + 12 + 96 = 180 g/mol

c. There are 6 * 10^23 molecules 1 mole of sucrose

d.  There are 6 * 10^23 atoms 1 mole of sucrose

8) The equation of the reaction is; NaHCO3 + HC2H3O2 → NaC2H3O2 + H2O + CO2

Number of moles of baking soda= 42.00 g/84 g/mol = 0.5 moles

Since  the reaction is 1:1, 0.5 moles of CO2 is formed.

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Answer:

URMMM WHERE IS THE DIAGRAM...

By the definition of the polynomials, the expression  [tex]3.9x^3 - 4.1x^2 + 7.3[/tex] is the only polynomials.

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

a. [tex]\pi x -\sqrt{3} +5y[/tex]

This expression consists of 2 variables so this is not a polynomial.

b. [tex]x^{2} y^{2} -4xy^{3} +12y[/tex]

This expression consists of 2 variables so this is not a polynomial.

c. [tex]\frac{4}{x} -4x^{2}[/tex]

Here variable x is in the denominator in term 4/x so this is not a polynomial.

d. [tex]3.9x^3 - 4.1x^2 + 7.3[/tex]

This expression satisfies all conditions of being a polynomial hence this is a polynomial.

e. [tex]\sqrt{x} -16[/tex]

Here the power of variable x is not an integer so it's not a polynomial.

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Answer:

A B E

Step-by-step explanation:

cuz i know

The annual yield on Frances’s stock approximately will be 0.0758. Then the correct option is A.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Frances bought 144 shares of Dwyn horticulture for $7.73 apiece. her broker charged her a commission of $46.15 for the purchase.

Then the total amount spent by the company will be

→ 144 × $7.73 + $46.15 = $ 1159.27

If the yearly dividend on Dwyn horticulture is 61 cents per share, then the annual yield on Frances’s stock will be

[tex]\Rightarrow \dfrac{0.61 \times 144}{11592.27} \\\\\Rightarrow 0.07577[/tex]

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Answer:

[tex]\huge\boxed{\bf\: \frac{93}{20}=4.65}[/tex]

Step-by-step explanation:

[tex]3 \frac { 1 } { 4 } + 1 \frac { 2 } { 5 }[/tex]

Now,

[tex]3 \frac { 1 } { 4 } \\= \frac{4 * 3+1}{4}\\= \frac{13}{4}[/tex]

Then,

[tex]1 \frac { 2 } { 5 }\\= \frac{1* 5+2}{5} \\= \frac{7}{5}[/tex]

So,

[tex]3 \frac { 1 } { 4 } + 1 \frac { 2 } { 5 }\\= \frac{13}{4}+\frac{7}{5}\\ \\\mathrm{LCM = 20}\\\\= \frac{65}{20}+\frac{28}{20} \\=\boxed{\bf\: \frac{93}{20}=4.65}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

-24, -21, -19, -19, -19, -14, -13, -12, -7, -3, 2, 5, 6, 11, 11, 15

Step-by-step explanation:

Hey there!

To put the numbers in least to greatest form, you need to put the biggest numbers with a - sign in front of it

This means negative

Negative means below zero

Then after putting the big negative numbers, you put positive numbers going from smallest to largest

So the numbers in least to greatest is -24, -21, -19, -19, -19, -14, -13, -12, -7, -3, 2, 5, 6, 11, 11, 15