Solve for X. Thank you

Solve For X. Thank You

Answers

Answer 1

Answer:

x = 4

Step-by-step explanation:

The segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other two sides , that is

[tex]\frac{15}{20}[/tex] = [tex]\frac{x+2}{14-(x+2)}[/tex]

[tex]\frac{3}{4}[/tex] = [tex]\frac{x+2}{14-x-2}[/tex] = [tex]\frac{x+2}{12-x}[/tex] ( cross- multiply )

4(x + 2) = 3(12 - x) ← distribute parenthesis on both sides )

4x + 8 = 36 - 3x ( add 3x to both sides )

7x + 8 = 36 ( subtract 8 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4


Related Questions

Calculate the sum of the integers from 52 to 108

Answers

Answer:

4560

Step-by-step explanation:

On a coordinate plane, a line goes through (negative 3, negative 4) and (3, 0).
What are the necessary criteria for a line to be perpendicular to the given line and have the same y-intercept?

The slope is Negative three-halves and contains the point (0, 2).
The slope is Negative two-thirds and contains the point (0, −2).
The slope is Three-halves and contains the point (0, 2).
The slope is Negative three-halves and contains the point (0, −2

Answers

Answer:

The slope is Negative three-halves and contains the point (0, 2).

Step-by-step explanation:

(-3,-4)(3,0)

M= -4/-6 = 2/3

⊥M = -3/2

0 = 2/3(3) + B

B=2

If (2x - 3) is a factor of mx^2 - 11x - 6, find the other factor.​

Answers

Answer:

(2x - 3) ^2 - 11x - 6

Step-by-step explanation:

what is the binary 11110-10101​

Answers

the binary is 1001 hope it helps

Write down five numbers so that:the mean is 6,the median is 5 and the mode is 4

Answers

Answer:

4 , 4 , 5 , 6 , 11

Step-by-step explanation:

Mode = 4

So at least two times 4 should be there in the data.

And median is 5. So the middle term ( 3rd term} should 5.

Let x and y be the 4th term and 5th term

Data set:

4 , 4 , 5 , x , y

Mean =6

[tex]\frac{4+4+5+x+y}{5}=6\\[/tex]

4+4+5 +x + y = 6*5

13 + x + y = 30

     x + y = 30 - 13

     x + y = 17

x ,y can be any numbers that sum up to 17.

x , y  can be  10 , 7   or  6, 11

Data set: 4 , 4 , 5 , 6, 11

Please help with (ii). thank you!!!

Answers

Answer:

Exact surface area = 500+20pi square cm

=============================================================

Explanation:

A = area of the bottom face = 10*12 = 120B = area of the left face = 7*12 = 84C = area of the right face = 7*12 = 84D = area of the front face = 7*10-0.5*pi*2^2 = 70 - 2piE = area of the back face = 7*10-0.5*pi*2^2 = 70 - 2piF = area of the top face = 2*3*12+0.5*2*pi*2*12 = 72+24pi

All areas mentioned are in square cm, which can be abbreviated to cm^2.

Faces A,B,C are straight forward as they are simply rectangles. The remaining 3 other faces are a bit tricky.

Faces D and E involve subtracting off the area of a semicircle of radius 2 from a 7 by 10 rectangle area. The formula pi*r^2 is the area of a full circle, while 0.5*pi*r^2 is the area of a semicircle. From there, I then plugged in r = 2.

The top face is really a combination of 3 different pieces (two flat, one curved in the middle). Each flat part is of area 3*12 = 36, so that doubles to 2*3*12 when accounting for both flat parts. The curved portion will involve the lateral surface area of a cylinder formula which is

LSA = 2*pi*r*h

but since we're only dealing with half the lateral area, we multiply that by 0.5 to get 0.5*2*pi*r*h. From there, I plugged in r = 2 and h = 12.

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

In summary we have these six areas for the faces

bottom = 120left = 84right = 84front = 70 - 2piback = 70 - 2pitop = 72 + 24pi

Add up those sub areas to get the full surface area of this particular 3D solid.

120+84+84+(70-2pi)+(70-2pi)+(72+24pi)

(120+84+84+70+70+72)+(-2pi-2pi+24pi)

500+20pi

This is the exact surface area in terms of pi. If you want the approximate version of this, then you could replace pi with 3.14 and compute to get 562.8 cm^2

Use more decimal digits in pi to get a more accurate value. If you use your calculators version of pi, then you should get somewhere around 562.831853 cm^2

In this case, I think it's better to stick with the exact surface area (unless your teacher instructs otherwise).

____ more than 3455 is two hundred seventy -eight thousand five hundred eighty three​

Answers

278, 538 is the answer

Answer:

275 128

Step-by-step explanation:

You have to subtract 3455 from two hundred seventy eight thousand five hundred eighty three(278 583) so you will get the answer 275 128.

278 583-3455=275 128

I'm sure with this answer

to make sure you can add 3455 to 275 128 and you will get the answer as 278 583

Find a number such that if 16 is added to it, the ratio of the result to the original number is 4:3

Answers

Answer:

48

Step-by-step explanation:

let the number be x and x + 16 the result of adding 16 to it, then

the ratio of the result to the original is

[tex]\frac{x+16}{x}[/tex] = [tex]\frac{4}{3}[/tex] ( cross- multiply )

4x = 3(x + 16)  = 3x + 48 ( subtract 3x from both sides )

x = 48

Can you help me with this question? It’s in the photo

Answers

Answer:

Option (d), (e) and (f) are correct.

Step-by-step explanation:

In triangle MNP, angle P = 90 degree

Cos M = 7 / 12

Now according to the right angle triangle

[tex]NP^2 = NM^2 - PM^2\\\\NP^2 = 12^2 - 7^2\\\\NP = \sqrt95[/tex]

Now

[tex]Sin M = \frac{sqrt95}{12}\\\\Cos N = \frac{95}{12}[/tex]

y = RootIndex 3 StartRoot x EndRoot. y = negative (0.4) RootIndex 3 StartRoot x minus 2 EndRoot
Which of the following describes the graph of the transformed function compared with the parent function? Select all that apply.

Answers

Answer:

- Reflected over the x-axis  

- Compressed by a factor of 0.4.

- Translated 2 units left

Step-by-step explanation:

Given

[tex]y = \sqrt[3]{x}[/tex]

[tex]y' = -(0.4)\sqrt[3]{x-2}[/tex]

Required

The transformation from y to y'

First, y is reflected over the x-axis.

The transformation rule is:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]y = \sqrt[3]{x}[/tex] becomes

[tex]y' = -\sqrt[3]{x}[/tex]

Next, it was compressed by a scale factor of 0.4

The rule is:

[tex]y' = k * y[/tex]

Where k is the scale factor (i.e. k = 0.4)

So, we have:

[tex]y' = 0.4 * -\sqrt[3]{x}[/tex]

[tex]y' = -(0.4)\sqrt[3]{x}[/tex]

Lastly, the function is translated 2 units left;

The rule is:

[tex](x,y) \to (x-2,y)[/tex]

So, we have:

[tex]y' = -(0.4)\sqrt[3]{x - 2}[/tex]

Answers:

-reflected over the x-axis

-translated 2 units right

-compressed by a factor of 0.4

Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds. Compare the speeds if he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.​

Answers

Answer:

The two speeds are equal

Step-by-step explanation:

The speed is the distance divided by the time

100 meters / 9.75 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth  10.26 meters per second

200 meters / 19.5 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth  10.26 meters per second

The two speeds are equal

[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]

⠀Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds.⠀⠀⠀he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.

[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]

Compare the speeds⠀⠀⠀⠀

[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]

we know that,

[tex]\boxed{\sf{speed=\dfrac{distance}{time}} }[/tex]

In the 100-meter race in the 2012 Olympics he takes 9.75 sec

speed=100/9.75speed =10.2564...speed=10.26

BUTTT,

he ran the 200-meter race in 19.5 seconds.

speed=200/19.5speed=10.2564..speed=10.26

According to the question,

we have to compare the speed

100-meter race in the 2012 Olympics he takes 9.75 sec=200-meter race in 19.5 seconds.

10.26=10.26

the speeds are equal

⠀⠀⠀

[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]

The two speeds are equal of Yohan Blake.

1
What is the value of x in the equation x - y = 30, when y = 152
200

Answers

[tex]\displaystyle\bf 1) \ if\ y=152 \Longrightarrow x=30+152=182 \\\\2) \ if \ y =200 \Longrightarrow x=200+30=230\\\\3) \ if \ y=80 \Longrightarrow x=30+80=110\\\\4) \ if \ y=4 \Longrightarrow x=4+30=34 \\\\5)\ if \ y=8 \Longrightarrow x=30+8=38[/tex]

instructions: state what additional information is required in order to know that the triangle in the image below are congruent for the reason given.

Given: AAS

Answers

Answer:

QP ≈ HG

Common side between those angles are QP and HG

so, they should be congruent to prove AAS

Answered by GAUTHMATH

Which property of math is the young student learning with the following equation? 3 x (4 + 7) = (3 x 4) + (3 x 7)

Answers

The property of math they are learning is the distributive property

On a standard baseball field, consecutive bases are 90 feet apart. How far does the catcher have to throw the ball to get from home plate to 2nd base

Answers

I think the answer is 90 and the square root of 2, hope this helps

A line has slope 3 and y–intercept 4.

Which answer is the equation of the line?

Answers

Answer:

y= 3x+4

Step-by-step explanation:

Slope-intercept form of an equation is

y=mx+b

m=slope

b=y-intercept

Just plug the values in and you get y=3x+4

Solve the equation to find a positive value of c: 3^2 + 4^2 = c^2

Answers

Answer:

The answer is c=5,-5

c= -5, 5

3^2 + 4^2 = c^2
9 + 16 = c^2
25= c^2
then you square each side and you should get c= -5, 5

please help!!
The length of side AC is | 3,4,5,6 | units.
The area of triangle ABC is | 5,10,15,20 | square units.

Answers

Look at ∠A, the angle which resides on (1, 3). If we count 5 units down, you find the other endpoint on side AC. Hence, the length of side AC is 5 units. This figure is equal to the height of the graphed triangle.

If we mirror this process with the figure representing the triangle's length, side BC, we get 4 units.

The formula for calculating a triangle's area is [tex]\frac{1}{2}bh[/tex]. In this context, the base of the triangle is the same as the length. Now, let's plug in the base and the height.

[tex]\frac{1}{2}(4)[/tex] × [tex](5) = 10[/tex]

The area of triangle ABC is 10 squared units.

Answer:

first box: 5      second box: 10

Step-by-step explanation:

50 pts pls help
What is the range of the function shown on the graph above?

Answers

572^ the answer above is correct!!!!!

Answer:

[0, 7]

Step-by-step explanation:

The range is the set of y-values.

The graphed function has its range between 0 and 7, both inclusive.

So the range is:

y ∈ [0, 7]

17.27. How many Social Security numbers (see Exercise 8.12) have their nine digits in strictly increasing order

Answers

Answer:

"10 possibilities" is the appropriate response.

Step-by-step explanation:

The numbers will be:

⇒ [tex]123 \ 456 \ 789[/tex]

Now anyway we commence with right and afterwards remove nine from eight and seeing as maintain the sequence growing.

then,

[tex]012345678[/tex][tex]012345679[/tex][tex]012345689[/tex][tex]012345789[/tex][tex]012346789[/tex][tex]012356789[/tex][tex]012456789[/tex][tex]013456789[/tex][tex]023456789[/tex]

Thus, the above is the correct answer.

Choose the smallest number. 3/18 10/3

Answers

Answer:

3/18

Step-by-step explanation:

3/18= 0.16

10/3= 3.33

Answer:

3/18

Step-by-step explanation:

3/18 , 10/3

Simplify it to the smallest size

3/18 , 10/3

1/6 , 10/3

1/6 = 3/18

the quantity of the square of the sum of 4 times
x and 3, divided by the difference of x and 10

Answers

Answer:

Step-by-step explanation:

(4x+3)²÷(x-10)

=(16x²+24x+9)÷(x-10)

x-10) 16x²+24x+9 (16x+184

       16x²-160x

       -      +

   ------------------

               184x+9

               184x-1840

              -      +

             ----------------

                       1849

              ----------------

       

PLEASE HELP! PLEASE SHOW WORK
Use the following expression to answer this three part question:
f(x) = 2x2 + 4x − 6

Part A: What are the x-intercepts of the graph of f(x)? Show your work.

Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.

Answers

Answer:

Step-by-step explanation:

The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.

Which statement about these two restaurant meals is correct? A. Neither meal contains any nutrients. B. Meal A is the more healthful choice. C. Meal B is the more healthful choice. D. Both meals are healthful choices.​

Answers

Answer:

D. Both meals are healthful choices

Carlos and Maria drove a total of 197 miles In 3.8 hours. Carlos drove the first part of the trip and averaged 55 miles per hour. Maria drove the
remainder of the trip and averaged 47 miles per hour. For approximately how many hours did Maria drive? Round your answer to the nearest tenth if
necessary.

Answers

Answer:

1.5 hours

Step-by-step explanation:

Carlos = x

Maria = y

55x + 47y = 197

x + y = 3.8

x = 3.8 - y

55(3.8 - y) + 47y = 197

209 - 55y + 47y = 197

-8y = -12

y = 3/2 = 1.5

Será - 12 esta noche. El meteorólogo predice que mañana al mediodía hará 25 ° más de temperatura. ¿Cuál será la temperatura mañana al mediodía?

Answers

Respuesta:

13 °

Explicación paso a paso:

La temperatura de esta noche = - 12

La temperatura prevista para mañana = 25 ° más cálida que la temperatura de esta noche

La temperatura prevista para mañana será;

La temperatura de esta noche + 25 °

Temperatura prevista para mañana = (-12 ° + 25 °)

Temperatura prevista para mañana = 13 °

a. 65
b. 67
c. 43
d. 23

Answers

The answer for this problem is a A.65

Battle is making fruit baskets, which include apples and bananas to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit but the fruit should weigh no more than 80 ounces total. On average each apple weighs 5 ounces and each banana weighs 7 ounces.

Answers

Answer:

there are 2 apples in the basket

there are 10 banana in the basket

Step-by-step explanation:

According to the Question,

We have, Battle is making fruit baskets, which include apples and bananas to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit.

let x for apple And y for banana So, x+y=12---Equation 1

And, the fruit should weigh no more than 80 ounces total. On average each apple weighs 5 ounces and each banana weighs 7 ounces.

Thus, 5x+7y=80 ----Equation 2

Now, (Equation 1) × 5 Subtract with (Equation 2) We get,

2y = 20 ⇒ y=10 (there are 10 banana in basket)

Put value of y=10 in Equation 2 we get

5x+70=80 ⇔ x=2(there are 2 apples in basket)

simplify 2a+5b/4+3a+2b/8​

Answers

Answer:

Step-by-step explanation:

Combine like terms

[tex]2a + \frac{5b}{4}+3a + \frac{2b}{8}=2a + 3a +\frac{5b}{4}+\frac{2b}{8}\\\\ = 2a + 3a + \frac{5b}{4}+\frac{b}{4}\\\\= 5a + \frac{5b+b}{4}\\\\= 5a +\frac{6b}{4}\\\\= 5a + \frac{3b}{2}[/tex]

Answer:

[tex]2a+5\frac{b}{4}+3a+2\frac{b}{8}[/tex]

First multiply by 8

[tex]2\cdot8a+5\cdot8\cdot\frac{b}{4}+3\cdot8\cdot a+2\frac{b}{8}\cdot8[/tex]

We multiple and divide where we can

[tex]16a+10b+24a+2b[/tex]

And now it's simple

30a+12b

Help me with this problem

Answers

6x=180
180/6 = 30
x = 30

Answer:

x = 30

Step-by-step explanation:

If A parallel to B , then

2x and 4x are same- side interior angles and sum to 180° , that is

2x + 4x = 180

6x = 180 ( divide both sides by 6 )

x = 30

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