If triangle GHJ is isosceles find the value of x

If Triangle GHJ Is Isosceles Find The Value Of X

Answers

Answer 1

Answer:

x = 5

Step-by-step explanation:

Because an isosceles triangle's angles will always add up to 180, it's quite simple plugging in angle J into a formula to find our answer.

Before we begin, recall that the bottom two angles of an isosceles triangle are equal to the other. Thus:

Unknown angle (H) = 14x+1

So...

38 + 14x + 1 + 14 x + 1 = 180

40 + 28x = 180
-40             -40
28x = 180

28x/28 = 180/28

We get:
x = 5

If Triangle GHJ Is Isosceles Find The Value Of X
Answer 2

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Note that:

Base Angles Of An Isosceles Triangle Are Equal.

Calculating For the Value Of X

Since Base Angles are Equal

(14x + 1)° + (14x +1)° +38° = 180°

Removing Brackets

14x + 1 + 14x + 1 + 38 = 180°

28x + 2 + 38 = 180°

28x + 40 = 180°

collecting like term

28x = 180 - 40

28x = 140

x =5

Therefore the value of x is 5


Related Questions

. A drawing of a tree and a wall are in the image below.
24 fl
What is the height of the tree?
A. 1 foot
C. 36 feet
B. 16 feet
D. 22 feet

Answers

Height of the tree is 16ft

There is a tree and a wall.

height of the wall = 4ft

Base of the wall = 6ft

tanθ for wall = height of the wall/Base of the wall

                     =  4/6

                     = 2/3

Height of the tree be h

base of the tree = 24ft

tanθ for tree= h/24

tanθ for wall = tanθ for tree

2/3 = h/24

h=(2/3)(24)

 = 16ft

Height of the tree is 16ft.

Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or between a base and something above it. Height is something measured vertically, whether it is high or low.

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how's ur day going? Also any tips on geometry?

Answers

It’s going alright. What do you need help with?

Joel is training for a marathon. He records the number of miles that he ran each day for a week. In two weeks he plans on increasing the distance he runs on Monday and Tuesday by 1 mile, and the amount he runs on Friday, Saturday and Sunday by 2 miles. How will this affect the MEAN number of miles he runs in a week?

Answers

The mean will increase by 1.6 miles.

How to calculate the mean?

It should be noted that from the information, in two weeks he plans on increasing the distance he runs on Monday and Tuesday by 1 mile, and the amount he runs on Friday, Saturday and Sunday by 2 miles.

The mean will be:

= (1 × 2) + (2 ×3) / 5

= (2 + 6)/5

= 8/5

= 1.6

The mean will increase by 1.6 miles.

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a have a box of d chocolates. i eat 7 of them. how many chocolates are left?

Answers

Answer:

d-7 would be the equation. If you don't know what D is, use the variable "D"

HELP, find the domain.

Answers

the domain of the graphed function is D: [-5, 3]

How to identify the domain of the function?

For a function f(x), we define the domain as the set of the inputs of the function.

So, to identify the domain, we need to look a the horizontal axis.

Doing that, we can see that the first value in the horizontal axis is x = -5, and the last value is x = 3.

Notice that in both cases we have solid dots, which means that these values do belong to the domain.

Then the domain of the graphed function is D: [-5, 3]

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<7 is a supplement of <8, and m<7 =109 . find m<8

Answers

It is 81 becuase 109+81 equals 180 which is a supplementary angle!

question add 113 (−56) using the number line. select the location on the number line to plot the sum.

Answers

The addition of 113 and -56 using the number line gives the answer as 57.

the two numbers to be introduced are 113 and -56.A fine variety indicates we have to move within the proper course at the range line. A negative variety suggests we have to pass within the left course at the wide variety line. We continually begin from the neutral cost, i.e., zero.We circulate 113 unit steps closer to the right of zero and mark that point.We now need to move fifty six unit steps towards the left of the ultimate marked factor, i.e., from 113 to mark it as our final result of addition.in this way, we can upload any two numbers the usage of the variety line.

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What is the (square root of A)*(cube root of A)

Answers

Step-by-step explanation:

[tex] = \sqrt{a} \times \sqrt[3]{a} \\ = {a}^{ \frac{1}{2} } \times {a}^{ \frac{1}{3} } \\ = {a}^{ \frac{1}{3} + \frac{1}{2} } \\ = {a}^{ \frac{5}{6} } [/tex]

I CONVERTED THE TERMS TO BE IN A POWER FORM TO SOLVE THIS EASILY

AND USED THE LAW OF EXPONENT..MULTIPLYING POWERS OF THE SAME BASE WE KEEP ONE BASE AND ADD THE EXPONENTS.

suppose that a water fountain produces a stream of water that follows the shape of a parabola. assigning the origin of a coordinate system to the point where the water stream emerges from the fountain, a measurement shows that the maximum height of the stream occurs at the point (6, 5). use symmetry to identify a third point and find a quadratic regression equation for the stream of water.a.y

Answers

Quadratic equation for stream of water; (x-6)² = -36/5(y-5)

Using symmetry;

if (0,0) is taken as origin and maximum height is reached by stream at (6,5); the stream will strike the ground at (12,0);

Equation of a parabola whose mouth is open toward negative y- axis;

x² = -4ay

Parabola vertex shifted from (0,0) to (6,5);

(x-6)² = -4a(y-5);

Put x = 0, y = 0, as it lies on parabola;

36 = -4a(-5);

36 = 20a;

a = 36/20;

Quadratic equation for stream of water; (x-6)² = -36/5(y-5);

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38) "the quotient of a number and 2, increased
by 9 is -15"

Answers

Answer: x=48

i know the answer bc i just did it

how many area codes (abc) would be possible if all three digits could be any value 1-9? question 5 options: 27 30 729 1,000

Answers

Answer:729

Step-by-step explanation:someone else said it

3(k + 5) = -2(3k - 6)

Answers

Answer:

k = -1/3

Step-by-step explanation:

1. Simplify by distributing

3k + 15 = -6k + 12

Move -6 onto the left side by adding 6k onto both sides =

9k + 15 = 12

Now subtract 15 on both sides=

9k = -3

Now divide both sides by 9=

k = -1/3

Answer:

k=-1/3

Step-by-step explanation:

3k+15=-6k+12

15-12=-6k-3k

3=-9k

k=-1/3

If 6x/7 = 10y/9 then what dose x/y =

Answers

Answer:

x = 35y/27

y = 27x/35

Hi
Check out the attached photo

given cosine of x is equal to negative square root of 3 over 2 comma what is the value of cos(x π)?

Answers

Value of cos(x+π) = [tex]\bold{\frac{\sqrt{3} }{2}}[/tex]

Given cosine of x = [tex]-\frac{\sqrt{3} }{2}[/tex]

i.e., cos(x) =  [tex]-\frac{\sqrt{3} }{2}[/tex]

Also cos([tex]\frac{\pi}{6}[/tex]) =  [tex]\frac{\sqrt{3} }{2}[/tex]. So x = [tex]\frac{\pi}{6}[/tex].

We need to find cos(x+π) = cos([tex]\frac{7\pi}{6}[/tex]).

But its value is not easy to find. So we use trigonometric formulas.

We have the trigonometric formula, cos (x+π) = - cos(x) = -  [tex]-\frac{\sqrt{3} }{2}[/tex] =  [tex]\bold{\frac{\sqrt{3} }{2}}[/tex]

Cos(x+π) lies in the 3rd quadrant. So there cosine has negative values. That is why, cos (x+π) = - cos(x).

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Is the mixed number 1 1/6 rational or irrational?

Answers

Answer:

rational

Step-by-step explanation:

1 1/6 can also be expressed in the form 7/6

any number that can be expressed in a form of a/b is a rational number

Aiyana draws figures JKLM and PQRS on the grid.
PART A Aiyana dilates figure JKLM to form image JK'L'M'. She uses a scale
factor of 1 and point J as the center of dilation. How are the original figure and
its image related?
(I also need help placing JK’L’M’

Answers

The relationship between the figure JKLM and it's image, J'K'L'M' following a dilation by a scale factor of 1 is that JKLM and J'K'L'M' have the same dimensions, and location

J'K'L'M' should be placed at the same lol as JKLM

What are scale factors?

Scale factors are numbers that are used to multiply a quantity to scale it by a given rate.

Part A

In order to easily describe the relationship between the image J'K'L'M' and the original figure JKLM, the point J can be taken as the origin such that the image vertices are obtained by dilating the points on the original figure in their original direction relative to J using the specified scale factor.

The coordinates of the vertices of JKLM relative to J are;

J(0, 0), K(6, 0), L(6, -6), M(0, -6)

Distance of K from J = 6 - 0 = 6 units to the right of K

Therefore, using a scale factor of 1;

Distance of K' from J = 1 × 6 units = 6 units to the right

The distances of the vertices of square J'K'L'M' from point J are the same and in the same direction as the distances of the vertices of square JKLM from point J.

JKLM and J'K'L'M' have the same dimensions following the dilation of JKLM by a scale factor of 1

The vertices of J'K'L'M' using a scale factor of 1 are therefore located at the same coordinates as the vertices of square JKLM

J'K'L'M' should therefore placed in the same location as JKLM

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Which set of numerical values represents the lower quartile, the median, and the upper quartile, in that order, of the box plot of this data set? 11, 12, 12, 13, 14, 15, 16, 18, 19, 19, 20

Answers

For the given data set the lower quartile is 12 , the median is 15 and the upper quartile is 19 .

In the question ,

the data det is given as {11, 12, 12, 13, 14, 15, 16, 18, 19, 19, 20}

the median is the central value , that is 15.

For lower and upper quartile ,

the set is divided into two halves ,

the lower half is {11,12,12,13,14}

the median of the lower half (lower quartile) = 12

the upper half is {16,18,19,19,20}

the median of the upper half(upper quartile) = 19.

Therefore , for the given data set {11, 12, 12, 13, 14, 15, 16, 18, 19, 19, 20},  the lower quartile is 12 , the median is 15 and the upper quartile is 19 .

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(1/a)+(1/b)-(1/c)=4 for c

Answers

The value of the c is obtained as; c = ac/(b + a - 4ab).

What is defined as the equation?

A mathematical equation can be defined in a variety of ways. In its most basic form, an equation is a statement that demonstrates that two formulas are equal.

3x + 5 = 24, for example, is an equation in which 3x + 5 and 24 are two declarations kept separate by a 'equal' sign. In mathematics, the most basic as well as simple algebraic formulas consist of one or more variables.A linear equation can have multiple variables. A linear equation is one in which the variable's highest power is always 1. A one-degree equation is another name for it.

Now, for the given equation in three variables;

(1/a)+(1/b)-(1/c) = 4

Bring the quantity to be find on one side and others on the other side.

1/a + 1/b - 4 = 1/c

Taking LCM on the left hand side.

(b + a - 4ab)/ab = 1/c

Taking the reciprocal on the both side.

c = ac / (b + a - 4ab)

Thus, the solution of the given equation in the terms of the c is;

c = ac / (b + a - 4ab).

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10. janet and david are playing with a pair of dice. if janet rolls two numbers whose sum is less than 6, david wins and gets to roll next. however, if janet rolls two numbers whose sum is 6 or greater, she gets to keep rolling. is this a fair method for their game? this is a fair method. this is not a fair method. not enough information.

Answers

Considering the probabilities of each outcome, it is much more likely that Janet wins than David, hence this is not a fair method.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The 36 total outcomes for the roll of two dice are given as follows:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6).(2,1), (2,2), (2,3), (2,4), (2,5), (2,6).(3,1), (3,2), (3,3), (3,4), (3,5), (3,6).(4,1), (4,2), (4,3), (4,4), (4,5), (4,6).(5,1), (5,2), (5,3), (5,4), (5,5), (5,6).(6,1), (6,2), (6,3), (6,4), (6,5), (6,6).

The number of outcomes in which the sum is less than 6 is:

10.

Hence the probability that David wins is:

p = 10/36.

Janet winning is complementary to David, hence the probability she wins is:

p = 26/36.

From the probabilities, it is much more likely that Janet wins than David, hence this is not a fair method.

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For g (x)=x^2 + 6 find g(2)

Answers

Answer:

plug in the 2 for x so its 2^2+6 2^2 is 4 plus 6 is 10

Step-by-step explanation:

Jason uses 3 1/2 cups of uncooked pasta to make a pot of macaroni and cheese. if he has 18 1/2 cups of pasta, how many pots of macaroni and cheese can jason make?

Answers

He can make 5 pots of  macaroni and cheese.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Jason uses 3 1/2 cups of uncooked pasta.

He has= 18 1/2 cup of pasta

So, the numbers pots he can make

=18 1/2 ÷ 3 1/2

=37/2 ÷ 7/2

=37/2*2/7

=37/7

=5.28

= 5 pots

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permutation p-values should never be zero: calculating exact p-values when permutations are randomly drawn

Answers

Permutation P-values should never be zero: calculating exact P-values when permutations are randomly drawn

This is a research paper whose authors are Belinda Phipson , Gordon K Smyth,

Abstract:

Permutation tests are among the most extensively used statistical procedures in current genomic research, and they include randomly permuting the sample or gene labels to assign p-values to test statistics. However, permutation p-values reported in the genomic literature are frequently estimated improperly, understating the number of permutations by roughly 1/m. When Monte Carlo simulation is used to assign p-values, the same thing frequently happens. Although the p-value understatement is generally small in absolute terms, the repercussions in a multiple testing situation might be severe.The underestimation stems from the intuitive but incorrect notion of using permutation to estimate the tail probability of the test statistic. Instead, we propose that permutation should be understood as yielding an exact discrete null distribution. The relevant literature, some of which is likely to have been relatively unavailable to the genetic community, is reviewed and summarised.

Conclusions:

When permutations are selected at random, a computing approach is established for accurate p-values. The approach works for any number of permutations and samples. Some basic guidelines are offered for the practical application of permutation testing.

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Gina Wilson Unit 7 Homework 2 . answers for all please

Answers

1) 72 + 18 =90. Therefore the angles are complementary angles

2) Angles one and two are a pair of opposite angles made by two intersecting lines. Those are called vertical angles.

3) Those two are right angles, and two right angles add up to 180. So they are right angles and supplementary angles.

4) Adjacent angles

5) Vertical angles and supplementary (because both are right angles)

6) Right angles, supplementary, linear, adjacent angles.

7) Complementary and adjacent angles.

8) Angle of a straight line is 180. So 180-21 should equal x. x=159

9) As stated in number 2, vertical angles are congruent. x=129

10) 38 and x are complementary angles. (it shows a box on the angle formed by both of them, which means it is a right angle.) 90-38 = 52

11) Vertical angle rule. y = 93. The sum of 93, y, x, and z is 360, because the degree of a full circle is 360 degrees. so, 360-93-93 is 174. However, because of the vertical angle rule we will know that x=z. so 174/2 is 87.

x=87 and z=87

12) If you read the question, it states m∠PQR is 147, and ∠PQR is consisted of 119 and x. So, 147-119 is x. x=28

13) W and 34 are linear angles. Linear angles add up to 180 degrees. So, 180-34. w=146. Angle x is labeled with a box at the vertex of the angle. That indicates it is a right angle. x=90. The angle formed with 34 and z is labeled with a box at the vertex, indicating 34+z is 90. Therefore, 90-34=z. z=56. Finally, because angle x is linear with angle (y+z), we will know that y+z is equal to 90. Therefore, y+z=90, y+56=90, y=90-56, y=34

14) We are given that m∠AEC is 41. ∠AEC and ∠AED are linear angles. So, m∠AED = 180-41. m∠AEC=139

15) ∠DEF is a right angle, indicated by the box label at the vertex. ∠DEF and ∠CEF are linear angles, therefore m∠CEF = 180-90. m∠CEF=90

16) ∠DEB and ∠AEC are vertical angles. Therefore m∠AEC and m∠DEB are equal. ∠DEB=41

17) ∠DEB and ∠BEF form a right angle together. In question 16 we confirmed that m∠DEB is 41. Therefore m∠BEF is equal to 90-41.

m∠BEF=49

18) In question 15 we confirmed that m∠CEF is 90, and in question 17 we confirmed that m∠BEF is 49. So m∠CEB must be 90+49. m∠CEB=139

19) In question 15 we confirmed that m∠CEF is 90, and the direction states m∠AEC is 41. Therefore m∠AEF is 90+41. m∠AEF=131

20) Vertical angles are congruent. Therefore ∠PQR is the same degree measure as ∠SQT. m∠PQR=109

21) Complementary angles add up to 90. Therefore ∠2+∠3 = 90. And it is given that ∠2=24. Therefore ∠3 = 90-24.  ∠3=66

22) Supplementary angles add up to 180. Therefore ∠K+∠L= 180. And it is given that ∠K=56. Therefore ∠L = 180-56.  ∠L=124

Julie is making a punch for her birthday party. First, she pours a 2-liter bottle of ginger ale into her punch bowl. Then, she adds two 750-milliliter bottles of grape juice. How many liters of punch does Julie make in all?

Answers

Julie will make 3.5 litres of punch

How to calculate the amount of litres ?

Julie is making a punch for her birthday

She first pours 2 litres if ginger ale

She then adds 750 millilitres of grape juice

Convert 750 millilitres to litres

750/1000

= 0.75 × 2

= 1.5

Total number of litres= 1.5 + 2

= 3.5 litres

Hence Julie makes 3.5 litres of punch

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What is the value of the following expression?: 6+32-5-7
O a. 44
O b. -12
C. 398
O d. 68

Answers

Answer:

44

Step-by-step explanation:

The answer to your question is A.) 44

Simplify 4(11 - 6) + 2

Answers

Step-by-step explanation:

Distribution first y=44-24+2

Simplify y=22

Hope this helps!

If you have any other questions feel free to ask!

Answer:

22

Step-by-step explanation:

Hey there!

To solve this, you need to follow PEMDAS

We do Parenthesis first:

44 - 24 + 2

Now we can simplify:

20 + 2

22

Marissa says that lines a and d will eventually intersect. is she correct? explain. yes, because they are on the same plane yes, because they are perpendicular no, because they are parallel no, because they are skew

Answers

Marissa says that lines a and d will eventually intersect is a wrong statement as they are skew lines. Therefore option D is correct.

What are skew lines?

A and D are both in different planes, skew lines are line that will never intersect because they are noncoplanar, meaning they are never in  the same plane. If they aren't in the same plane, they can't intersect.

Two or more lines that doesn't have any intersections but they are not parallel.

Skew lines are also called as agonic lines. Since two lines in a plane must be parallel or intersect ,skew lines can only exist  in three dimensions or more dimensions.

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83. Which statement must be true if x is a whole number greater than 1?

Answers

Answer: A

You can substitute x with 2, since this follows the rule. With this in mind, it could be, 1/3>1/4.

Make a mapping diagram for the relation.
{(-3, 4), (1, 1), (3, -6), (4, -1)}

Answers

Check the picture below.

Insert three arithmetic means between
22
and
34
.

Answers

Answer:

22,25,28,31

N=5

A1= 22

an= 35

22-34

d= 5-1

22+3=25

25+3=28

28+3=31

31+3=34

mwheheheheh

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