MATHEMATICS HIGH SCHOOL

Mackenzie wrote the following paragraph proof for the Vertical Angles Theorem: Line segment NT intersects line segment MR forming four angles. Angles 1 and 3 are vertical angles. Angles 2 and 4 are vertical angles. The sum of angle 1 and angle 4 and the sum of angle 3 and angle 4 are each equal to 180 degrees by the definition of supplementary angles. The sum of angle 1 and angle 4 is equal to the sum of angle 3 and angle 4 _________________. Angle 1 is equal to angle 3 by the subtraction property of equality. Which phrase completes the proof? by construction using a straightedge by the definition of a perpendicular bisector by the transitive property of equality. by the vertical angles theorem

Answers

Answer 1
Answer:

by the transitive property of equality
Answer 2
Answer:

Answer:

the transitive property of equality

Step-by-step explanation:

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Pls help with this division
X/3 = 10 question 24 options: 10 3 30 7

Let P(x) = F(x)G(x) and Q(x) = F(x)/G(x), where F and G are the functions whose graphs are shown.(a) Find P '(2). (b) Find Q'(7).

Answers

Hello,

Very nice like question!

a)
F(2)=3 ; G(2)=2
F'(2)=0; G'(2)=1/2
P'(x)=F'(x)*G(x)+F(x)*G'(x)

P'(2)=0*2+3*1/2=3/2

b)
F(7)=5; G(7)=1
F'(7)=1/4; G'(7)=-2/3

Q'(x)=(F'(x)*G(x)-F(x)*G'(x)) / G²(x)

Q'(7)=(1/4*1-5*(-2/3))/1²=1/4+5/3=23/12

If one jar of glue weighs 1/12 pound, how many jars can Rickie getfrom 2/3 pound if glue?

Answers

Answer: 8


Step-by-step explanation:

2/3 divided by 1/12

2/3 * 12/1

24/3=8

hope i helped angel!

Answer:

I think it would be 8

Step-by-step explanation:

Divide 2/3 by 1/12.

(2/3) / (1/12) = 2/3 * 12/1 = 24/3 = 8

True or False. A sinusoid is a function whose values repeat based on positions of a point that moves around a circle.

Answers

The correct answer is:

True.

Explanation:

A sinusoidal function is based on the sine function, or sine wave.

The sine wave repeats based on its period. The period of the sine function is 2π, or 360°. Depending on the transformations applied to the function, the period of the transformed function may be different, but will always be based around this idea of repeating every 2π radians.

Since 2π = 360°, this corresponds with a circle. This means the graph repeats based on positions of a point that move around a circle.

Answer:

True

Step-by-step explanation:

A.P.E.X.

If the circumference of a baseball is 24 cm what is the volume of the object

Answers

2\pi R=24cm\ \ \ /:2\pi\n\nR=(24)/(2\pi)\n\nR=(12)/(\pi)\ (cm)\n\nV=(4)/(3)\pi R^3\n\nV=(4)/(3)\pi\cdot\left((12)/(\pi)\right)^3=(4)/(3)\pi\cdot(1728)/(\pi^3)=(2304)/(\pi)\ (cm^3)\approx=(2304)/(3.14)\approx733.76\ (cm^3)

Say that Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually. If the Thai government wants to raise $70 billion in tax revenue, approximately where should it set the income tax rate?

Answers

First we have to multiply the number of working people by their average annual salary: 35,709,487 * $8630 = $308,172,872,810. Then we have to calculate which percent of that sum represents $70,000,000,000. r = ( 70,000,000,000 / 308,172,872,810 ) * 100 = 22.7%. Answer; The income tax rate should be approximately 22.7%.

Answer:

c

Step-by-step explanation:The answer is c which is 23%

Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms of the equation: y=(x-1)(4x+2)-4x^2

Answers

The specified formula y = (x-1)(4x+2)A linear function, -4x² has a constant term of -2 and a linear term of 2x.

To determine whether the function y = (x-1)(4x+2)-4x^2 is linear or quadratic, we can analyze the equation and identify its terms.

Start with the equation:

y = (x-1)(4x+2)-4x²

Expand the equation by multiplying the terms:

y = 4x² + 2x - 4x - 2 - 4x²

Simplifying further,

y = 2x - 2.

Analyzing the equation, we can see that there is no x² term. This indicates that the function is linear.

Let's identify the terms of the equation:

Quadratic term: There is no x² term in the equation.

Linear term: The linear term is 2x.

Constant term: The constant term is -2.

Therefore, the given function y = (x-1)(4x+2)-4x² is a linear function with a linear term of 2x and a constant term of -2.

To learn more about quadratic equations follow

brainly.com/question/30164833

#SPJ3
Hello,

Multiplying (x-1) by (4x+2) the term in x² is x*4x=4x².
If we substract 4x² the term of y in x² will be 0.
The function is not quadratic.

Since 4x*(-1)+2*x=-2x (product of terms in x) : the function is thus linear.

Constant term is -1*2=-2
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