Find the value of x in the figure.

Find The Value Of X In The Figure.

Answers

Answer 1

The value of the missing variable x in the diagram is; 4

How to find the side length of a similar triangle?

In mathematics, two triangles are said to be similar provided that they have the same ratio of corresponding sides and equal pair of corresponding angles.

Now, from the given image, we can see that DE bisects AC into 2 equal parts and by virtue of the concept of similar triangles, we can say that;

DE/BC = 1/2

We are given;

DE = x + 1

BC = 4x - 6

Thus;

(x + 1)/(4x - 6) = 1/2

Cross multiply to get;

2x + 2 = 4x - 6

4x - 2x = 6 + 2

2x = 8

x = 4

That value of x is the missing value required in conclusion.

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Related Questions

Passengers on many commercial flights may make calls from a telephone provided
by the airline. On a certain airline, a call costs $3 to connect plus $2 for each
minute. Which linear equation best represents c, the total cost for a call that lasts m
minutes?

Answers

Answer:

c = 3 + 2m

Step-by-step explanation:

Let c = total cost of call (in dollars)

Let m = number of minutes

Given:

Connection fee = $3Cost per minute = $2

⇒ c = 3 + 2m

find the perimeter of the rectangle

Answers

Answer:

22x + 24

Step-by-step explanation:

7x+9+7x+9+4x+3+4x+3

11x + 18 + 11x + 6

Mark brainliest please!

Answer:

perimeter of a rectangle

=2(L+B)

Therefore...

=2(7x+9+4x+3)

collect like terms

=2(7x+4x+9+3)

=2(11x+12)

using 2 to multiply everything in the bracket

=2×11x + 2×12

=22x + 24

A 12 sided die is rolled find the probability of rolling a two

Answers

Answer:

1/12

Step-by-step explanation:

so we know the total you have is a 12 dice cube yes? yes.

there fore you denomanator is the the total of everything-12.

there's only 1 #2 on the 12 sided dice this cause you to get 1/12

50 points each question. Please help. How do I solve?

Answers

[tex]\text{Given that,}\\\\~~~1+ \ln (3xy) = e^{3x-y}\\\\\\\implies \dfrac d{dx} \left[1 + \ln (3xy) \right] = \dfrac{d}{dx} \left(e^{3x-y} \right)\\\\\\\implies \dfrac{1}{3xy} \cdot 3 \dfrac{d}{dx}(xy) = e^{3x-y} \cdot \left(3 - \dfrac{dy}{dx} \right)\\ \\\\\implies \dfrac 1{xy} \left( x \dfrac{dy}{dx} + y \right)= e^{3x-y} \cdot \left(3 - \dfrac{dy}{dx} \right)\\\\\\\implies \dfrac 1y \dfrac{dy}{dx} + \dfrac 1x = 3e^{3x-y}- e^{3x -y} \dfrac{dy}{dx}[/tex]

[tex]\implies \dfrac 1y \dfrac{dy}{dx} + e^{3x-y} \dfrac{dy}{dx} = 3e^{3x-y} - \dfrac 1x\\\\\\\implies \left( \dfrac 1y+ e^{3x-y} \right)\dfrac{dy}{dx} = 3e^{3x-y} - \dfrac 1x\\\\\\\implies \dfrac{dy}{dx}=\dfrac{3 e^{3x-y} -\dfrac 1x}{\dfrac 1y+ e^{3x-y} }\\\\\text{At point}~ (x,y) = (1/3, 1), \text{slope of the tangent line,}\\\\m=\dfrac{dy}{dx} = 0\\\\\text{Hence the equation of tangent line,}\\\\~~~y-1 =0\\\\\implies y=1[/tex]

Use the Multiplication Law of Exponents to solve the expression below.

6 1/2 . 6 1/2= ​

Answers

The base of 6 is the same, so add 1/2+1/2 =1

6^1 = 6

Answer:

The asnwer is

The base of 6 is the same, so add 1/2+1/2 =1

6^1 = 6

Step-by-step explanation:

I hope i helped you very much

In the triangle, angle RST is 90°. RS= 4cm and ST=3 cm. What is the length of RT? R 4 cm S T 3 cm​

Answers

Step-by-step explanation:

RT^2=RS^2+ST^2

RT^2=16+9=25

RT=√25=5

The answer is 5

Find the volume will give brainlest

Answers

7693/3 is what i got i think it’s right

If you know the volume of a rectangular prism and the area of the base, how can you find the height?

Answers

I hope I can help you:)

Izzie bought 6 hoodies that
each cost the same amount
and a pair of shorts that
cost $23. The items she
bought cost a total of $194
before tax was added. What
was the cost of each
hoodie? (set up an equation
to solve)

Answers

Answer:

$ 28.50

Step-by-step explanation:

6 hoods + 23 = 194

6 hoods = 171

hood = $ 28 . 50

Michelle is rolling two six-sided dice, numbered one through six. What is the probability that the sum of her rolls is 5?

Answers

Answer:

13.8888888889% or 0.1388888888889

Step-by-step explanation:

Place these 5 possible results of 6 over the total number of possible outcomes for rolling 2 fair 6-sided dice to obtain 5/(6×6) or 5/36 equal to 0.1388888888889 or 13.8888888889% Probability

:) :) :) :) :) :) :)

Nevada is almost twice the size of which country?
A. Algeria
B. Mauritania
C. Kenya
D. Democratic republic of the Congo
Please help me

Answers

did you word this wrong? all of these are bigger than nevada

Selecting a black vehicle with a leather interior​

Answers

The answer is 1/8 hope this helps

Find the value of angle W​

Answers

Answer:

  w = 73°

Step-by-step explanation:

The relations involved in solving this figure are ...

linear pairs are supplementarythe angle sum for the quadrilateral is 360°

__

The linear pair at lower left gives us a relation we can solve for x:

  x +(3x -24) = 180

  4x = 204

  x = 51

Then the sum of angles inside the quadrilateral is ...

  w +(x +15) +(2x -10) +(3x -24) = 360

  w +(51 +15) +(2(51) -10) +(3(51) -24) = 360

  w +66 +92 +129 = 360

  w = 360 -287 = 73

Angle W is 73°.

_____

Additional comment

The remaining angles are supplementary to those inside the quadrilateral:

  v = 180° -w = 107°

  y = 180° -92° = 88°

  z = 180° -66° = 114°

  x = 51°

A boxplot is also known as a/an
A. side plot
B. box and whisker plot
C. stem and leaf plot
D. stemplot

Answers

B. box and whisker plot

A boxplot—sometimes called a box and whisker plot—is a dense display that aims to provide lots of context for any given dataset. The chart visually represents several summary metrics in a single view: minimum: the smallest value maximum: the largest value

Convert 3 4/9 to an improper fraction

Answers

Answer:

31/9 :)

Step-by-step explanation:

Lets convert!!

3 x 9 = 27

27 + 4 = 31

31/9

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

31/9

Step-by-step explanation:

how this mixed number shows is that you have 3 and 4/9. what you can do from there would be to multiply 3 by 9 so you can get the fraction 27/9, which is still equal to 3 (you are just changing the look of the number). Now, all you have to do is add that to 4/9 to get 31/9. Hope this helps!  

the mean temperature in Glens Falls for the month of february is 23 degrees with a standard deviation of 4.2 degrees. What is the z scores for temperature of 17 degrees?

Answers

Your answer is -1.43

The drug Lipitor is meant to lower cholesterol levels. In a clinical trial of 800 patients, 5% reported headaches.
Construct a 90% confidence interval estimate of the proportion of Lipitor users who will report headaches as a side effect. NO explanation needed or will be reported.

Answers

Using the z-distribution, it is found that the 90% confidence interval estimate is given by (0.0373, 0.0627).

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

The sample size and the estimate are given, respectively, by [tex]n = 800, \pi = 0.05[/tex].

Hence, the bounds of the interval are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 1.645\sqrt{\frac{0.05(0.95)}{800}} = 0.0373[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 1.645\sqrt{\frac{0.05(0.95)}{800}} = 0.0627[/tex]

The 90% confidence interval estimate is given by (0.0373, 0.0627).

More can be learned about the z-distribution at https://brainly.com/question/25890103

In the figure below, trapezoid WXYZ is isosceles, with WZ XY.
If mXWZ = 125° and mWXZ = 27°, what is mXZY?
A.
27°
B.
35°
C.
20°
D.
55°

Answers

Answer: the answer is 27 degrees .

The figure shows the dimensions for a birthday gift. Find the minimum amount of wrapping paper, in square inches, needed to cover the gift. Round your answer to the nearest whole inch.


sqauare inches

Answers

The minimum amount of wrapping paper, in square inches, needed to cover the gift shown in the figure is 614 square inches.

What is of total surface area of the rectangular prism?

The total surface area of the rectangular prism is the space occupied by each of the face of it. It is the sum of area of all the faces of prism.

Total surface area of the rectangular prism is calculated with the following formula.

[tex]A=2(lb+bh+lh)[/tex]

Here, (b) is the breath of the base (l) is the length and (h) is the height of the rectangular prism.

The minimum amount of wrapping paper required to cover the gift is equal to the surface area of the figure.

The figure is made with different sides, The area of all the sides is equal to the surface area of the figure. The surface area of it is,

[tex]A=2(5\times8)+(15\times8)+(15\times10)+2(\dfrac{1}{2}3\times8)+(15\times5)+(15\times11)\\A=614\rm\;in^2[/tex]

Thus, the minimum amount of wrapping paper, in square inches, needed to cover the gift shown in the figure is 614 square inches.

Learn more about the total surface area of a rectangular prism here;

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The point (3,6) is represented on the graph. Which point also belongs on this graph?

Line graph. Line starts at (0, 0). One point plotted: (3, 6).

Answers

Answer:

Your answer would be (36,72)

Step-by-step explanation:

A function g is given as g(x) = ax + bx + c. It is known that g(0) = 1, g(1) = 2 and g(-1) = 4. (a) Find the values of a, b and c.

Please show detailed steps. (Don't just write down the final answers) Tq​

Answers

Answer:

{2;-1;1}.

Step-by-step explanation:

it is possible to make up the system of three equations:

a) g(0)=1: c=1;

b) g(1)=2: a+b+c=2;

c) g(-1)=4: a-b+c=4;

2) the system has the only solution:

[tex]\left[\begin{array}{ccc}c=1\\a+b+c=2\\a-b+c=4\end{array} \ = > \ \left[\begin{array}{ccc}a= 2\\b=-1\\c=1\end{array}[/tex]

4) finally, a=2; b=-1 and c=1.

If 3 inches equals 4 feet how much does 4 inches equal

Answers

Step-by-step explanation:

so, hypothetically,

3 in = 4 ft

4 in = 4 × 1 in = 4 × 3 in / 3 = 4 × 4 / 3 = 16/3 =

= 5.333333333... ft or 5 1/3 ft

Logan calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: geography, math, English, and theat geography: MAD of 3.5
math: MAD of 1.36
English: MAD of 1.8
theater, MAD of 3.15
In which class were his scores the closest together?
geography
math
theater
English​

Answers

Using it's concept, it is found that due to the lowest Mean Absolute Deviation, his scores were closest together in Math.

What is the mean absolute deviation of a data-set?

The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation(MAD) of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean. Hence, lower values of the MAD means that the distribution is closer together.

Of the four classes, Math was the lower MAD, hence it has the scores that are closest together.

More can be learned about the Mean Absolute Deviation at https://brainly.com/question/3250070

To advance in a computer game, players need to open a door by choosing one number
on each of the dials. What is the probability that
the combination starts with 8?

Answers

Answer:

1/3 or 33.3333...%

Step-by-step explanation:

My understanding of this situation is that each dial represents a number in the combination. In order for the combination to start with 8, the first dial needs to land on 8. Since there are three numbers on the dial, the probability that the combination starts with 8 is 1/3. Hope I helped :)


Justin is on a road trip. Over the past 2 days, he has driven a total distance of 715 miles at an average speed of 65 miles per hour. If
Justin drove 2 hours today, how many hours did he drive yesterday?

Answers

Answer:

1 hour did he drive yesterday

Find the length of the unknown side round your answer to the nearest 10th

Triangle in picture above ☝️

Answers

Answer:

72.8

Step-by-step explanation:

I think it might be 87

10
Which inequalities are true? Select the four correct answers.
O V5 <2.3 0 V5 <24 < V6
O Vac5c √5.5
OVE <3 <3
O V <2.9 <
O4 <4.5<5

Answers

Answer:

  A, B, C, E

Step-by-step explanation:

Here, you're being asked to put sets of three numbers in order. In many cases, two of the three numbers are irrational square roots. It can work well here to recognize that the order doesn't change if the numbers are squared. By squaring the numbers involved we can make an easier comparison of rational numbers.

__

a) √5 < 2.3 < √6   ⇒   5 < (2.3² = 5.29) < 6 . . . . true

b) √5 < 2.4 < √6   ⇒   5 < (2.4² = 5.76) < 6 . . . . true

c) √4 < √5 √5.5   ⇒   4 < 5 < 5.5 . . . . true

d) √8 < 3 < √9   ⇒   8 < (3² = 9) < 9 . . . . false

e) √8 < 2.9 < 9   ⇒   8 < (2.9² = 8.41) < 9 . . . . true

f) √4 < 4.5 < √5   ⇒   4 < (4.5² = 20.25) < 5 . . . . false

what is the sum of two numbers is "-7." Two times the first number equals 4 the second number. Find the two numbers.

Answers

Answer:

[tex]\sf \text{The numbers are $\dfrac{-14}{3} $ and $\dfrac{-7}{3}$}[/tex]

Step-by-step explanation:

Let the numbers be x , y

Sum of two numers = -7

x + y = -7------------(I)

Two times the first number equals 4 the second number.

2x = 4y  ----------(II)

Divide both sides by 2

       [tex]\sf \dfrac{2x}{2}=\dfrac{4y}{2}[/tex]

        x = 2y

Subtitute x = 2y in equation (I)

2y + y = -7

      3y = -7

       y = -7/3

Plugin y = -7/3 in equation (II)

[tex]\sf 2x = 4*\dfrac{-7}{3}\\\\2x = \dfrac{-28}{3}\\\\x =\dfrac{-28}{3*2}\\\\x = \dfrac{-14}{3}[/tex]

Does anyone know how to solve this hard question without using a calculator

Answers

[tex]\bold{FULL ANSWER:}[/tex]

Answer:

sq rt 2/2

Step-by-step explanation:

Use unit circle to find the answer.

what is the missing term in the pattern?2, ?,18,54,162.... a.3 b.6 c.8 or d.9​

Answers

b.6 because 2 * 3 it will give us six then * it with 3 again it will give you 18

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