Complete the proof that

Complete The Proof That

Answers

Answer 1

With the help of angles we can say that ∠HJI=∠FJG.

What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.

Acc to our question-

∠HJI=∠FJG=180 , they are forming linear pairs.due to transitive property of inequality we can say that-they both are equal and congruent.

Hence, ∠HJI≅∠FJG are equal and congruent.

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Related Questions

A model of a car is 1 feet wide and 3 feet long. If the actual car is 15 feet long, what is the width of the actual car?
A. 3 feet

B. 5 feet

C. 15 feet

D. 45 feet

Answers

45 feet I believe because it jus makes since in if it don’t then u need lots of help

Answer:

5 feet.

Step-by-step explanation:

if we see that 3 feet is the model and 15 feet is the actual, we find the ratio is 3:15 or 1:5. since the width is 1 foot, then we see the actual is 5 feet long.

Pls Help BrainliestBegging u PlsPLS!!!!!!!!!!!!

How many positive three-digit integers have at least one digit that is a 5 or a 7?

Answers

Answer:

452 integers

------------------------

Three-digit integer in the form of abc.

Possible numbers for each digit

a - 1 to 9, nine options,b and c - 0 to 9, ten options

Let a = 5 or 7, then for a we have 2, for b and c 10 options:

5bc or 7bc2*10*10 = 200

Let b = 5 or 7, then for a we have 9 - 2 = 7, for b 2 and for c 10 options

a5c or a7c7*2*10 = 140

Let c = 5 or 7, then for a we have 9 - 2 = 7, for b 10 - 2 = 8 and for c 2 options

ab5 or ab77*8*2 = 112

Total options200 + 140 + 112 = 452

the probability of spinning a1 is the same for both spinners ture or false​

Answers

The probability of spinning a 1 is the same for both spinners: False

How to determine the true statement?

The spinners that complete the question are added as an attachment

From the attached figures, we  have

Spinner 1

Number of 1 = 1

Sections = 4

Spinner 2

Number of 1 = 2

Sections = 6

The probability of obtaining 1 is calculated as

P(1) = Number of 1/Sections

So, we  have

Spinner 1

Number of 1 = 1

Sections = 4

P(1) = 1/4

Spinner 2

Number of 1 = 2

Sections = 6

P(1) = 2/6

By comparison

1/4 and 2/6 do not have the same value

Hence. it is false that the probability of spinning a 1 is the same for both spinners

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Dominic needs a new bike mirror. His old mirror was a square with a side length of 9 cm. He wants the new mirror to have an area as close as possible to his old bike mirror.

Answers

The new mirror must have at least 81 cm² of the area.

What is the area of the square?

The area of the square is defined as the product of the length and width.

As per the given question, we have

Dominic requires a new bicycle mirror. His old mirror was a square with a 9-cm side length.

He wants the replacement mirror to have an area that is as near to his previous bike mirror as feasible.

We have to determine the area of the previous bike mirror.

The area of the previous bike mirror = (side length)²

The area of the previous bike mirror = (9)² = 9 x 9

The area of the previous bike mirror = 81 cm²

So the new mirror must have greater than 81 cm² of area.

Thus, the new mirror must have at least 81 cm² of the area.

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Answer:

5 cm

Step-by-step explanation:

hope this helps

Can someone please help me

Answers

The proof that show show how ΔTRS ≅ ΔQRP by SAS congruence theorem is explained below.

What is the SAS Congruence Theorem?

The SAS congruence theorem states that if two triangles have one pair of corresponding included angles that are congruent, and two pairs of corresponding sides that are also congruent, then both triangles are congruent to each other.

Using the SAS, the proof that shows both triangles are congruent is explained below.

Statements                        Reasons                                          

1. SR ≅ PR                          1. Given

2. SP bisects TQ               2. Given

3. TR ≅ QR                        3. Definition of bisection

4. ∠TRS ≅ ∠QRP              4. Vertical ∠s theorem

5. ΔTRS ≅ ΔQRP              5. SAS congruence theorem

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pls help with this question

Answers

Answer:99

Step-by-step explanation:

1/2 x18x11

99

176? Not fully sure though

0.38 in expanded form

Answers

Answer:

0 + 0.30 + 0.08

Step-by-step explanation:

hope it helps :)

consider this confidence interval interpretation: we are 95% confident the mean sodium content for all beef hot dogs is between 353.2 and 449.1 mg. what needs to be done to fix this statement?

Answers

"We are 95% confident that the mean sodium content for all beef hot dogs is between 353.2 and 449.1 mg." is the correct statement.

The true parameter must be properly and contextually stated.

We are researching confidence intervals for population means rather than for particular observations. The parameter is, to put it in plain English, the average sodium content of all beef hot dogs. The phrase "We are 95% confident" would be a better translation.

Thus the correct statement is as mentioned above.

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a small radio transmitter broadcasts in a 20 mile radius. if you drive along a straight line from a city 27 miles north of the transmitter to a second city 24 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?

Answers

To solve the given problem first we need to find the equation for line then we have to find the intersection point on circle.

You will pick up a signal from the transmitter in 29% of the drive.

Given:

The radius is 53 mile.

The origin point of transmitter is .

Calculate the slope of line with point  and .

Substitute the value.

Write the general equation of line.

Now we got the equation of line,

Write the transmitter reach the area enclosed by the next circle.

Substitute the value of .

Further solving we get the point  and .Please refer the attached figure.Apply the Pythagoras theorem to find the total distance.Apply the Pythagoras theorem to find distance when the signal is picked up.Calculate the percentage of distance covered.

Thus, You will pick up a signal from the transmitter in 29% of the drive.

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Given the equation negative 28 equals y over 7, solve for y.

196
4
−4
−196

please help me.

Answers

The linear equation:

-28 = y/7

Can be solved by multiplying both sides by 7, to get y = -196

How to solve the equations?

Here we want to solve the equation:

-28 = y/7

And we want to solve this for the variable y.

To do so, we need to isolate said variable in one side of the equation, now remember that we can multiply both sides of the equation by the same number.

Then we can multiply both sides by 7 so we get:

-28*7 = (y/7)*7

-196 = y

The correct option is the last one.

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a yield sign measures 24 inches on each of its three sides. what is the area of the sign? (round your answer to one decimal place.)

Answers

A yield sign measures 24 inches on each of its three sides ( equilateral )then the area of the sign is 249.4

Given,

24 inches on each of its three side. (See in attached picture)

Consider ADB,

As it is an equilateral triangle, BD = BC/2 = 12 inches

By Pythagoras theorem,

AB^2 = BD^2 + AD^2

24^2 = 12^2 + AD^2

24^2 – 12^2 = AD^2

576-144 = AD^2

432= AD^2

20.78= AD

Area = ½ (base * height)

       = ½ (24*20.78)

       = 249.4

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One type of plant root splits 4 times while growing in the ground. The number of new roots after each split can be modeled by the function f(x)=3x, where x is the number of times the root splits. What is the domain of f(x)? CLEAR CHECK All positive integers All positive integers less than or equal to 4 All integers All positive integers greater than or equal to 4

Answers

The domain of the function f(x) = 3x is (b) All positive integers less than or equal to 4

How to determine the domain of the function?

From the question, we have the following equation of the function that can be used in our computation:

f(x) = 3x

In this case, the notations are given as

x = Number of splits

f(x) = number of new roots in each split

From the question, we have

Splits = 4

This means that the maximum value of x is 4

The other values of x would be

x = 1, 2, 3, 4

This can be represented as

0 ≤ x ≤ 4

The interpretation of the above notation is all positive values less than or equal to 4

Hence, the domain value is option (b)

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the faa now figures the average checked bag to weigh 30 pounds. this is up from a previous figure of 26 pounds. find the amount of increase and the percent of increase, to the nearest whole percent.

Answers

The amount of weight of bag increase is 4 pounds. The percent of increase is 13,33 %. The result is obtained by calculating the change of two numbers.

How to find the percent of change?

A number can increase or decrease to another number. This change can be counted by subtracting the first number from the second number. If the result is positive, it is an increase. If the result is negative, it is a decrease.

The percent of change would be the ratio of the amount of change to first number times 100.

Given the first figure of bag is 26 pounds and the last figure is 30 pounds.

What is the amount of increase?What is the  percent of increase?

The amount of increase is subtracting 26 from 30.

30 - 26 = 4 pounds.

The percent of increase is

[tex]= \frac{4}{30} \times 100[/tex] %

[tex]= 0.1333 \times 100[/tex] %

[tex]= 13.33[/tex] %

Hence, the amount of weight of bag increase is 4 pounds. The percent of increase is 13,33 %.

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Which of these equations represent functions where is x is the input and y is the output ?

Answers

The equations represent functions where x is the input and y is the output are y = 2x and x+y = 2

The 1st equation is x =2

Since there is no component of y and the value of x is fixed. So this is not the desired option.

The 2nd equation is y = 2

Since there is no component of x, and the value of y is fixed. So this is not the desired option.

The 3rd equation is y = 2x

In this equation, x is the input and y is the output. For different values of x, we will have different values of y.

Thus, this is the desired option.

The 4th equation is x =2y

In this equation, y is the input and x is the output. For different values of y, we will have different values of x.

The 5th equation is x+y = 2

So, x + y = 2

y = 2 - x

In this equation, x is the input and y is the output. For different values of x, we will have different values of y.

Thus, this is the desired option.

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Determine whether each of these functions from {a,b,c,d} to itself is bijection if it is than find f -¹.

f(a)=b, f(b)=a, f(c)=d, f(d)=c
f(a)=a, f(b)=b, f(c)=c, f(d)=d​

Answers

Only function (a) is one-to-one.

What is a one-one function?A mathematical function with individuality known as an injective function, injective, or one-one function never translates discrete components of its domain to equivalent elements of its codomain. We can say that each element of the codomain is only a representation of a single element in the domain.

acc to our question-

If every element of the range of the function corresponds to exactly one element of the domain, then the function is called one-to-one.

The elements of a function are

A = {a,b,c,d}

Therefore, this function is one-to-one.

(b).f (a) = b, f (b) = b, f (c) = d, f (d) = c.

Here, the value of function is b for x=a and x=b. For two domains the functions has same range.

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what is the acceleration of a softball if it had a mass of .50kg and has a force of 70N when it hits the catchers glove

Answers

Answer:

the answer is 1.4N/kg

J.5 unit rates
96 kilometers in 3 hours = ?

Answers

The unit rate for 96 kilometers in 3 hours  is 32 kilometer per hour.

What is unit rate?

A unit is one of a particular object. An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.

Given in the question,

96 kilometer in 3 hours,

In order to find unit rate we have to change given values in kilometers per hour.

Do, 96 kilometer = 3 hours

96/3 kilometer = 1 hour

Therefore, unit rate is 32 kilometer per hour.

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can someone answer this question really quick

Answers

c = 2.97r is the equation that describes the proportional relationship between r, the number of reams purchased and c, the total cost

How to write an equation that describes proportional relationships?

Two variables have a proportional relationship if all the ratios of the variables are equivalent

In order to write an equation that describes the proportional relationship r, the number of reams purchased and c, the total cost, we need to write a proportional equation using the variables:

c α r                  (Note: α is the proportion symbol)

c = kr

k = c/r

Where k is the constant of proportionality

As shown in the image, you can see that 4 reams cost $11.88 and 6 reams cost $17.82

k = c/r

k = 11.88/4 = 2.97 or 17.82/6 = 2.97

c = kr

c = 2.97r

Therefore, the equation that describes the proportional relationship between r, the number of reams purchased and c, the total cost is c = 2.97r. Enter c = 2.97r in the box

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Here is a correlation, does it also represent causation? Explain you answer.

The miles driven and the amount of gasoline used.

Answers

Yes the miles driven and the amount of gasoline used can be said to have a causation as well as a correlation.

What is causation in statistics?

The strength and direction of a relationship between two or more variables are described by the statistical measure of correlation, which is given as a number. However, a correlation between two variables does not necessarily imply that a change in one variable is the reason for a change in the values of the other.

There is a causal relationship between the two occurrences, which means that causation shows that one event is the outcome of the occurrence of the other event. This concept is also known as cause and effect.

When the amount of gasoline is small, it would cause the miles covered to be just a few miles. Or if there is no gas, then no mile would be covered.

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fill in the blank 96 inches = blank feet

Answers

Answer:

8 feet

Step-by-step explanation:

there's 12 inches in 1 foot so 12 x 8 = 96

basic trig, need help please

Answers

Answer: θ≈18,553°

Step-by-step explanation:

[tex]\displaystyle\\sin\theta=\frac{7\ cm}{22\ cm} \\\\sin\theta=\frac{7}{22}\\\\\theta=arcsin\frac{7}{22} \\\\\theta\approx18.553^0[/tex]

The graph of the absolute value parent function, f(x) = lxl, is stretched horizontally by a factor of 6 to creator the graph of g(x). What function is g(x)?​

Answers

The function g(X) will be of the form g(x) = |x/6| ,when stretched by a factor of 6.

The function is f(x)=|x| .

We know that for transformation of a function of the form horizontal stretch by a factor of 'a' is given by the g(x)= f(x/a)

So in this given function the horizontal stretch is by a factor of 6.

Therefore g(x) = f(x/6)

or, g(x) = |x/6|

In the graph attached the green represents the function f(x) while the red represents the function g(x).

A function transformation either "moves," "resizes," or "reflects" the graph of anything similar to the parent function. The following are the three main types of function transformations:

Dilation is the only one of these changes that modifies the size of the original shape; the other two just change its location.

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4u+8v=-3u+2v
pleaseeee

Answers

Answer:

solve for u= 6v/7

solve for v= 7u/6

Step-by-step explanation:

what is 12/40 as a percentage
what is 33/60 as a percentage

Answers

Answer:

To do percentages with fractions,

divide the numerator by denominator to get a decimal,

so for example, 12/40.

12/40 is 0.3 decimal, and then to make it percent,

we multiply by 100,

how does that work?

you move two places to the right because 100 has two zeros

so 0.3 would be 30,

therefore the percent of 12/40 would be 30%

number two same thing

33/60=0.55

0.55x100=55

so 55%

have a good day! <3

Answer:

30%55%

Step-by-step explanation:

Find the slope and reduce.
P=(-8, 3) Q=(-6, 2)
Slope
=

Answers

Answer:

2-3/-6-(-8)

= -1/2

Study each equation, then solve.

8) 5 + r = 6 - r

9) z - 16 = - 16

10) 7n - 7 = 0

Answers

The solution for r in equation 5 + r = 6 - r,   r =1/2

The solution for z in equation  z - 16 = - 16,  z= 0

The solution for n in equation 7n - 7 = 0 ,    n= 1

(8) 5 + r = 6 - r

Step 1: Rearrange the equation by collecting the like terms

r +r=6-5

Step 2: Simplify r +r=6-5

2r = 1

Step 3: Divide both sides by 2

2r/ 2 =1/2

r =1/2

9) z - 16 = - 16

Step 1; Add 16 to both sides

z-16 +16 = -16 +16

z= 0

10) 7n - 7 = 0

To solve for n

Step 1: Add 7 to both sides

7n - 7 +7 = 0+7

7n =7

Step 2: Divide both side by 7

7n/7 =7/7

n= 1

Therefore, the solution for r in equation 5 + r = 6 - r, r =1/2

The solution for z in equation  z - 16 = - 16,    z= 0

The solution for n in equation 7n - 7 = 0,   n= 1

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Given: AD
Prove: DE
A
D
BC and ZBCD ZADC
CE
C
Intro
B
Correct! Assemble the next
statement.
Angles Segments Triangles Statements Reasons
SAS
CPCTC
reflexive property
Statements
✓1. AD BC
✓ 2. ZDEA and CEB are
vertical angles
3. ZBCD
ZADC
vertical angles theorem
Reasons
1. given
2. def. of vertical angles
3. given

Answers

Triangle ADC and ΔBDC are congruent.     then DE ≅ CE

         

What do you mean by congruent?

It is claimed that two figures are "congruent" if they can be positioned exactly over one another. Both the shape and size of the bread slices are same if you lay one slice on top of the other. Congruent refers to having precisely the same form and size.

Given,

        AD ≅ BC

      ∠BCD ≅ ∠ADC

In triangle ADC and ΔBDC

                    AD ≅ BC    ( GIVEN )

      ∠BCD ≅ ∠ADC          ( GIVEN )

             DC = DC             ( Common line)

so  triangle ADC and ΔBDC are congruent.

             then DE ≅ CE

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events which can never occur together in probability theories then it is classified as? a. mutually exclusive events b. collectively exclusive events c. mutually exhaustive events d. none of these

Answers

In probability theories, events which can never occur together are classified as "mutually exclusive events" that is option A.

What is mutually exclusive event?

Two events are mutually exclusive or disjoint in logic and probability theory if they cannot both occur at the same time. The results of a single coin toss, which can result in either heads or tails but not both, serve as an obvious illustration. Events that do not take place at the same time are said to be mutually exclusive. For instance, if a coin is tossed, the outcome will either be head or tail; we cannot get both outcomes. Since they do not occur at the same time, such events are also known as disjoint events.

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tan(x+pie) + sin(x+pie) + sin (x-pie) = 0

Answers

Answer:

[tex]x=\dfrac{\pi }{3}+2\pi n, \quad x=\dfrac{5\pi }{3}+2\pi n,\quad x=2\pi n,\quad x=\pi+2\pi n[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.5 cm}\underline{Trigonometric Double Angle Identities}\\\\$\sin (A \pm B)=\sin A \cos B \pm \cos A \sin B$\\\\$\cos (A \pm B)=\cos A \cos B \mp \sin A \sin B$\\\\$\tan (A \pm B)=\dfrac{\tan A \pm \tan B}{1 \mp \tan A \tan B}$\\\end{minipage}}[/tex]

Given equation:

[tex]\tan (x + \pi) + \sin(x + \pi) + \sin(x - \pi)=0[/tex]

Simplify using the double angle identities:

[tex]\implies \dfrac{\tan x + \tan \pi}{1 -\tan x \tan \pi} + \sin x \cos \pi+\cos x \sin \pi + \sin x \cos \pi -\cos x \sin \pi=0[/tex]

[tex]\implies \dfrac{\tan x + 0}{1 -\tan x(0)} + \sin x (-1)+\cos x (0) + \sin x(-1) -\cos x (0)=0[/tex]

[tex]\implies \dfrac{\tan x}{1} -\sin x - \sin x=0[/tex]

[tex]\implies \tan x-2\sin x =0[/tex]

Use the tan identity to rewrite tan(x) in terms of sin(x) and cos(x):

[tex]\implies \dfrac{\sin x}{ \cos x}-2\sin x=0[/tex]

Multiply both sides by cos(x):

[tex]\implies \dfrac{\sin x\cos x}{ \cos x}-2\sin x\cos x=0(\cos x)[/tex]

[tex]\implies \sin x-2\sin x \cos x=0[/tex]

Factor out sin(x) from the left side of the equation:

[tex]\implies \sin x(1-2 \cos x)=0[/tex]

Apply the zero-product property.

Case 1

[tex]\implies \sin x=0[/tex]

[tex]\implies x=\sin^{-1}(0)[/tex]

[tex]\implies x=2\pi n, \; \pi+2\pi n[/tex]

Case 2

[tex]\implies 1-2 \cos x=0[/tex]

[tex]\implies 1=2 \cos x[/tex]

[tex]\implies \cos x=\dfrac{1}{2}[/tex]

[tex]\implies x= \cos ^{-1} \left(\dfrac{1}{2}\right)[/tex]

[tex]\implies x=\dfrac{\pi }{3}+2\pi n, \;\dfrac{5\pi }{3}+2\pi n[/tex]

Solution

[tex]x=\dfrac{\pi }{3}+2\pi n, \quad x=\dfrac{5\pi }{3}+2\pi n,\quad x=2\pi n,\quad x=\pi+2\pi n[/tex]

Trapezoid G is a scaled copy of trapezoid F.

Answers

Answer:

yes it is???

Step-by-step explanation:

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