In the figure below, what value of x makes G the incenter of JKL?

In The Figure Below, What Value Of X Makes G The Incenter Of JKL?

Answers

Answer 1

Answer:

x=8.

Step-by-step explanation:

For triangle GTL

h²=p²+b²

or, 13²=p²+12²

or, 169=p²+144

or, p²= 25

or, p=5

so, GT = 5

now

for triangles GTL and GTJ

<GTL=<GTJ(both are 90° because GT is perpendicular to JL)

<JGT=<LGT=90° (GT is perpendicular to JL so it bisects G)

GT=GT(common)

so

triangles GTL and GTJ is congruent by A.S.A axiom

JT=12(correspong side of congruent ttriangle are equal)

now

JG= 13(corresponding side of congruent triangles are equal)

now

for triangle JGT, it is a right angled triangle as <JGT = 90°)

Let <JGT be G.

tanG=p/b

or, tanG=12/5

G= 67.4°

<JGT=67.4°

now

<JGR=<JGT=67.4°(JG is at midpoint bisecting <RGT)

in JGR,

<JRG=90°(RG is perpendicular to JK as <GRK is 90°)

now

JGR is a right angled triangle so

cosG=b/h

or, cos67.4=(x-3)/13

or, cos67.4(13)=x-3

or, 4.99=x-3

or, 5 = x-3

so, x = 5+3

so, x = 8


Related Questions

Hi!! When we do percents could decimal way be sufficient or will fraction way be?

Answers

Answer:

fraction way would be

Step-by-step explanation:

The answer will be the number that turnings into fractions

shows some values of a linear function f and an exponential function g. find exact values (not decimal approximations) for each of the missing entries. x 0 1 2 3 4 f(x) 10 ? 20 ? ? g(x) 10 ? 20 ? ?

Answers

The missing entries for f(x) are 20, 30, and 40, and the missing entries for g(x) are 40, 80, and 160.

The missing entries for f(x) can be found by knowing that f is a linear function and using the values given. A linear function has the form f(x) = ax + b, where a is the slope and b is the y-intercept. Since f(0) = 10 and f(1) = 20, we can use these two points to find a and b.

Putting x = 0 in the equation, we get:

f(0) = 10 = a(0) + b

Putting x = 1 in the equation, we get:

f(1) = 20 = a(1) + b

Solving these two equations simultaneously, we find:

a = 10

b = 0

So, the equation for f is:

f(x) = 10x + 0 = 10x

Using this equation, we can find the missing entries for f(x) in the table:

f(2) = 10x = 10(2) = 20

f(3) = 10x = 10(3) = 30

f(4) = 10x = 10(4) = 40

So the missing entries for f(x) are 20, 30, and 40.

To find the missing entries for g(x), we need to know the form of the exponential function g. A common form for exponential functions is g(x) = ab^x, where a is the y-intercept and b is the growth factor. Since g(0) = 10 and g(1) = 20, we can use these two points to find a and b.

Putting x = 0 in the equation, we get:

g(0) = 10 = a(1)^0 = a

So, a = 10.

Putting x = 1 in the equation, we get:

g(1) = 20 = 10b

Solving for b, we find:

b = 2

So, the equation for g is:

g(x) = 10(2^x)

Using this equation, we can find the missing entries for g(x) in the table:

g(2) = 10(2^2) = 10(4) = 40

g(3) = 10(2^3) = 10(8) = 80

g(4) = 10(2^4) = 10(16) = 160

So the missing entries for g(x) are 40, 80, and 160.

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--The given question is incomplete; the complete question is

"The table below shows some values of a linear function f and an exponential function g. find exact values (not decimal approximations) for each of the missing entries.                                                                                    x      0  1  2  3 4                                                                                                                                             f(x)  10 _ 20 _ _                                                                                                                                 g(x) 10 _ 20 _ _"--

What is the domain of the following relation?
{(-3, 3), (1, 1), (0, -2), (1, -4), (5, -1)}

Answers

-3,0,1,5

Step-by-step explanation:

in coordinates, x is domain and y is range. however if u have 2 or more of a number of x, just put it once. for example

(2,5) (5,8) (1,4) (2,3) (1,2)

domain: 1, 2, 5

range: 2, 3, 4, 5, 8

hope this helps

two square are congruent ,if they have same _____​

Answers

Answer:

Two squares are congruent if they have the same side length

Step-by-step explanation:

The dimensions of a square are the side length of the square and in a square, all sides are equal

Therefore, given that two quadrilaterals are squares, and the side length of each of the given quadrilateral are equal, the quadrilateral are said to be congruent.

Can someone help me? I had the notes in my notebook but I threw it away when it got full, not thinking that I was ever gonna need these notes again.. ;,)

Can someone help me? I had the notes in my notebook but I threw it away when it got full, not thinking

Answers

1. The mistake is in the second line (didn't fully distribute)
2. The mistake is in the second line (didn't properly add 4p and 7p)

The following probability model gives the distribution of student loan debt (in thousands of dollars) for the graduating
class of a large law school.
The probability that a randomly selected graduate owes between $25,000 and $49,999 is
The probability that a randomly selected graduate owes between $50,000 and $149,999 is
The probability that a randomly selected graduate does not owe $150,000 or more is

The following probability model gives the distribution of student loan debt (in thousands of dollars)

Answers

Answer:

a

b

c

Step-by-step explanation:

just got this question on edge

Which is not a statistical question? * 1 point how much did the corn plants grow last week? what is the height of the tallest corn plant? how much water did the corn plants get each day last month? how tall are the corn plants?

Answers

The option that is not a statistical question is D. how tall are the corn plants?

What is a statistical question?

A statistical question is one that may be answered by gathering data and for which the data will vary. Questions answered with a single data point are not statistical questions since the data utilized to answer the question is not variable.

A statistical question is one that can be answered by gathering varying amounts of data. A statistical inquiry is one that yields varying responses and outcomes (data). It must be collected on more than one person and there must be room for the facts to vary.

Therefore, based on the information illustrated, the correct option is D. It was too general and not specific

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Lisa puts $8,000 in an account that earns 12% simple annual interest. If she leaves her money in the account for 4 years, how much interest will she earn?

Answers

Answer:

392000

Step-by-step explanation:A=p(1+

Which figure is a translation of figure 1?

Which figure is a translation of figure 1?

Answers

Answer:

triangle 4.

Step-by-step explanation:

A translation only moves vertically or (and) horizontally our image.

This means that a translation does not change the size

A translation does not rotate the image.

Then a translation of triangle 1 needs to have the same size than triangle 1, and the same "direction" (in triangle 1 we can see that the hypotenuse is at the right side, then in the translated triangle we also should have the hypotenuse at the right side).

Then the only option that seems correct is triangle 4

Answer: Which figure is a translation of figure 1? figure 4

Step-by-step explanation: correct on edge 2021

DO NOT JUST GIVE ME A NUMBERRRRRR !!!! SHOWWWW STEPSSSS

3r-8=-32

Answers

Answer:

The answer is -8

Step-by-step explanation:

First, add 8 to both sides to separate the 3r from the rest of the terms. Now you have 3r = -24. Divide both sides by 3, and now you have r = -8

Answer:

r = -8

Step-by-step explanation:

3r-8 = -32

add 8 to -32

3r = -24

divide 3 by -24

and you get -8

what is the location of the point on the number line that is 3/7 of the way from A=6 to B=20?

Answers

Answer:

12

Step-by-step explanation:

20-6=14 (Distance between points) then 14*3/7=6.

3/7 of the distance from A=6 to B=20 is 6. Thus, we find the point that is

3/7 of the distance from A=6 to B=20 by adding 6 to 6.

6+6= 12

Therefore, the point that is

3/7 from A=6 to B=20 is 12.

PLEASE HURRY
Simplify:

PLEASE HURRYSimplify:

Answers

6m/m-3    + m/m+1

Simplify

Identify the common factor

{6m/m-3 + m/m+1

(m+1) . (6-3) /(m+1)  +  (m-3)/ (m+1)

Add fractions with the same denominator together.

terms to put constants on the left and reorder them

Solution

7m^{2}+3m   /  m^2-2m-3

The answered are 7  3  2 3

What does the algebraic expression M mean?

The slope of a line is represented by the letter "m" in algebra. A line's slope defines both its direction and steepness.

The order in which you perform operations in arithmetic and algebra is governed by a number of laws. The Commutative, Associative, and Distributive Laws are the three that receive the most attention. People have discovered over time that adding or multiplying doesn't depend on the order of the numbers

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arrange the number in order size from small first 2/7, 0.3, 4/9​

Answers

They are already in ascending order. 2/7, 0.3, 4/9

Find the distance from point B to point A.
Enter as a decimal rounded to the nearest tenth.
A
34°
608 m
B
BA = [?] m
C

Find the distance from point B to point A.Enter as a decimal rounded to the nearest tenth.A34608 mBBA

Answers

Answer:

BA ≈ 410.1 m

Step-by-step explanation:

using the tangent ratio in the right triangle

tan34° = \(\frac{opposite}{adjacent}\) = \(\frac{BA}{BC}\) = \(\frac{BA}{608}\) ( multiply both sides by 608 )

608 × tan34° = BA , then

BA ≈ 410.1 m ( to the nearest tenth )

A quadratic function is shown on the graph.

a downward opening parabola beginning with open circle at negative 3 comma negative 7 increasing to a vertex at 0 comma 2 and then decreasing to a closed circle at 2 comma negative 2

What is the range of the function?

{y | −7 < y ≤ 2}
{y | −7 ≤ y ≤ 2}
{x | −3 ≤ x ≤ 2}
{x | −3 < x ≤ 2}

Answers

The range of the quadratic function represented with the given parameters is {y | −7 < y ≤ 2}

What is the range of a function?

The range of a function is the set of output values of the graph. This in other words mean the range of a function is the set of y values of the graph.

What are quadratic equations?

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

How to determine the range of the function?

From the question, we have the following parameters:

The parabola opens downwardVertex = (0, 2)Open circle points = (-3, -7) and (2, -2)

Write out the vertex

So, we have

Vertex = (0, 2)

Remove the x value

y = 2

From the question, we have

The parabola opens downward

This means that the vertex is a maximum

So, the range is

y ≤ 2

Rewrite properly as

{y | −7 < y ≤ 2}

Hence, the range of the quadratic function is {y | −7 < y ≤ 2}

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Answer:

Answer is A :)

Step-by-step explanation:

The path to addiction includes steps that occur in the following order:

A. Addiction, Experimentation, Tolerance, Dependence


B. Experimentation, Tolerance, Dependence, Addiction


C. Tolerance, Addiction, Social Use, Experimentation

D. Experimentation, Addiction, Tolerance, Recovery

Answers

Answer:

D. Experimentation, Addiction, Tolerance, Recovery

Explanation:

First all the drug addicts try the drug, also refereed as experimentation.

Then they soon get addicted to it because it contains harmful substances attracting it and cannot control themselves.

Then tolerance which means, endure pain and resist from taking the drug.

Then the person gradually recovers and starts living off without the drug.

Use the distributive property to write an expression that is equivalent to: 3(x + 5)

PLZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPP

Answers

Answer:

3x + 15

Step-by-step explanation:

when distributing, multiply the number outside of the parentheses by the numbers inside the parentheses.

Hey there!


3(x + 5)


DISTRIBUTE 3 WITHIN the PARENTHESES

= 3(x) + 3(5)


= 3x + 15


Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

plz help me on this

plz help me on this

Answers

the figure is a collinear figure
3rd one is correct.

he highest recorded temperaturein the world was 38.0\deg C in El Azizia , Libya, on September 13, 1922. Calculate in degrees farenheit.

Answers

The highest recorded temperature in the world, 38.0°C in El Azizia, Libya, on September 13, 1922, is equivalent to 100.4°F.

The Fahrenheit scale divides the temperature range between these two points into 180 equal divisions or degrees. Each degree Fahrenheit is 1/180th of the temperature difference between the freezing and boiling points of water.

To convert Celsius to Fahrenheit, we use the formula:

°F = (°C × 9/5) + 32

Given that the temperature is 38.0°C, we can substitute this value into the formula:

°F = (38.0 × 9/5) + 32

°F = (342/5) + 32

°F = 68.4 + 32

°F = 100.4

Therefore, the highest recorded temperature in El Azizia, Libya, on September 13, 1922, was 100.4°F.

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A watering can contains 8 quarts of water. Theo uses 6 cups to water his houseplants.

How many cups of water are left in the watering can?

Answers

The amount left in the can is an illustration of subtraction or differences

There are 2 quarts of water left in the watering can

How to determine the amount left in the watering can?

The given parameters are:

Content = 8 quarts

Used = 6 quarts

To calculate the amount of water left, we use:

Content = Used + Left

Substitute known values

8 = 6+ Left

Subtract 6 from both sides

Left = 2

Hence, there are 2 quarts of water left in the watering can

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Answer:
correct answer is 26 cups


What is the factor of 8x2 12x?

Answers

The factors of the polynomial 8x^2 + 12x are (4x) and (2x + 3x).

A factor of a polynomial is a polynomial that when multiplied by another polynomial results in the original polynomial. The factor of 8x^2 + 12x is a polynomial that when multiplied by another polynomial results in 8x^2 + 12x.

To find the factors of 8x^2 + 12x, we can use different methods such as the factoring by grouping or by finding the common factor.

One possible factorization of 8x^2 + 12x is (4x)(2x) + (3x)(4x).

Taking out the common factor 4x :

8x^2 + 12x = (2x + 3x)(4x)

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Triangle DOG is an isosceles triangle. DO = OG mO = 126° What is mG? A. 27° B. 39° C. 54° D. 64°

Answers

Answer:

A. 27

Step-by-step explanation:

mG=(180-126)/2=27

Use the image to answer the question. A coordinate plane with four quadrants shows the x- and y-axes ranging from negative 5 to 5 in increments of 1. A solid line and a dotted line intersect each other. The equation of the solid line is x minus 5 y equals 3. The equation of the dotted line is 3 x minus 2 y equals negative 4. The intersection of both lines is shown at negative 2 on the x-axis and negative 1 on the y-axis in quadrant 3.

Review the graphs of a system of two linear equations in two variables: x−5y=7 and 3x−2y=−4. Find the solution to both equations.(1 point)
The intersection point is ()

Answers

The equations given are x - 5y = 3 and 3x - 2y = -4. To find the solution to this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

Find the solution to both equations?

One way to solve this system of equations is by substitution. We can solve one equation for x or y, and then substitute that expression into the other equation to eliminate one variable. Let's solve the first equation for x:

x - 5y = 3

x = 5y + 3

Now we can substitute this expression for x into the second equation:

3x - 2y = -4

3(5y + 3) - 2y = -4

15y + 9 - 2y = -4

13y = -13

y = -1

We can now substitute this value for y back into either equation to find the value of x:

x - 5y = 3

x - 5(-1) = 3

x + 5 = 3

x = -2

Therefore, the solution to the system of equations x - 5y = 3 and 3x - 2y = -4 is (-2, -1). This is the point where the solid line and dotted line intersect, as shown in the image.

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In interval estimation, as the sample size becomes larger, the interval estimate.

Answers

The interval estimate becomes narrower.

An interval estimate is the use of sample data to calculate an interval of possible (or probable) values ​​of an unknown population parameter, as opposed to a point estimate, which is a single number.

Estimation is a method of drawing conclusions about an unknown population parameter from a sample. An estimate is a statistic that is used to calculate the value of a parameter that is not defined. Intervals are statistical estimation approaches that use survey data to generate ranges of values ​​that are likely to contain the population value of interest. Point estimates, on the other hand, are single-valued estimates of the population value. Confidence intervals are the most familiar of the various forms of statistical intervals. Certain types of analysis and scenarios, on the other hand, require the use of different scopes that provide different details.

Hence in interval estimation, as the sample size becomes larger, the interval estimate becomes narrower.

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The variance of a sample or a population cannot be _____. a. zero b. calculated c. negative d. less than1

Answers

The variance of a sample or a population cannot be negative. This means that option c, negative, is the correct answer.

Variance is a statistical measure that quantifies the dispersion or spread of data points around the mean. It tells us how much the individual data points deviate from the average. The variance is always a non-negative value because it is calculated by summing the squared differences between each data point and the mean, divided by the total number of data points.
If the variance were negative, it would imply that the sum of the squared differences between each data point and the mean is less than zero. However, this is not possible because squared differences are always positive or zero.
On the other hand, options a, zero, and d, less than 1, are incorrect. The variance can be zero if all the data points in the sample or population are the same, indicating no dispersion. Additionally, the variance can be any positive value, including values less than 1.
To summarize, the variance of a sample or a population cannot be negative, making option c, negative, the correct answer.

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At PetSmart, zebra fish cost $1.85 each and neon tetras cost $2.10 each. Nicolas bought 11

fish for a total of $21.60 (not including tax). How many of each fish did he buy?

Separate your answer list with a comma, for example: 30 neon tetras, 20 zebra fish.

Answers

Answer:

5 Neon tetras

6 Zebra Fish

Step-by-step explanation:

21.60/2=10.80

Neon Tetras: 2.10*5=10.50

Zebra fish: 1.85*6=11.10

10.50+11.10= 21.60

a right angle triangle has the perimeter of 96cm. the length of its sides are in the ratio of 6:8:10. work out the area of the triangle

Answers

Answer:

384 centimeters squared.

Step-by-step explanation:

96/(6+8+10)

96/24 = 4

6×4 : 8×4 : 10×4

24:32:40

The length of its sides are in the ratio of 24:32:40

The longest side is the hypotenuse which is 40.

The area is base × height × 1/2 of a triangle.

32 × 24 × 1/2

768 × 1/2

=384

The area of the triangle is 384 cm squared.

Answer:

Area = 384 cm²

Step-by-step explanation:

Perimeter = 96 cm

Ratio = 6:8:10

So,

6x+8x+10x = 96

=> 24x = 96

Dividing both sides by 24

=> x = 4

So, The sides are

=> 24 cm

=> 32 cm

=> 40 cm

Now the area using Heron's Formula

Area = \(\sqrt{s(s-a)(s-b)(s-c)}\)

Where s is the semi-perimeter = 48 cm, a , b and c are the sides

Area = \(\sqrt{48(48-24)(48-32)(48-40)}\)

Area = \(\sqrt{48(24)(16)(8)}\)

Area = \(\sqrt{147,456}\)

Area = 384 cm²

class 9
if (x+1) is a factor of x³+2x²-5x-6, then factorise it.

please give me the answer fast...​

Answers

9514 1404 393

Answer:

  (x +3)(x +1)(x -2)

Step-by-step explanation:

A graphing calculator is a good tool for finding factors fast. Each zero (p) gives rise to a factor (x -p).

The graph shows zeros at -3, -1, and 2, so your factorization is ...

  (x +3)(x +1)(x -2)

class 9if (x+1) is a factor of x+2x-5x-6, then factorise it.please give me the answer fast...

if a = b and b = c then a = c. true or false

Answers

Answer: true

Step-by-step explanation:

Answer: True

Step-by-step explanation: Has to be true if a b and c are all numbers

what is the positive value of a in the complex number a + 7i

Answers

The imaginary unit number is used to express the complex numbers, where i is defined as imaginary or unit imaginary. We will explain here imaginary numbers rules and chart, which are used in Mathematical calculations.

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