using the similar triangles below, solve for x !

Using The Similar Triangles Below, Solve For X !

Answers

Answer 1

Answer:

Step-by-step explanation:

Remarks.

This can be solved as a proportion. A proportion is 2 ratios making a total of 4 parts. If we know 3 of the parts, we can solve for the 4th.

63/(8x - 2) = 49 /42

Notice that the given parts of the top triangle are the numerators of the ratios. The 2 parts of the bottom triangle are the denominators of the proportions

Proportion

63/(8x - 2) = 49 /42

Solution

63/(8x - 2) = 49 /42                        Cross Multiply

(8x - 2)*49 = 63 * 42                       Combine the right.

(8x - 2)*49 = 2646                           Divide by 49

8x - 2 = 54                                        Add 2 to both sides

8x -2+2=54+2                                   Combine

8x = 56                                              Divide by 8

8x/8 = 56/8                                        

Answer: x = 7


Related Questions

Help me with this please

Answers

Step-by-step explanation:

x > 4

you see the line covers everything to the right (larger than) of +4.

the large empty circle at 4 means this value is not included.

that is the reason why we cannot use x >= 4.

to include the value the market has to be sold (not empty).

What is the volume of this container? (image below)

Answers

Answer:

480 in³

Explanation:

Volume of Rectangular Prism = Length * Height * Width

Front Volume:

4 * 4 * 580 in³

Behind Volume:

5 * 8 * 10400 in³

Total volume:

400 in³ + 80 in³480 in³

Both are cuboids

#1

L=8B=10C=5

Volume:-

LBH8(10)(5)400in³

#2

L=4B=4H=5

Volume:-

4(4)(5)80in³

Total:-

400+80=480in³

Sonnie deposited $2,500 into an account that earns simple interest. After 5 years, she earned $375 in interest. What was the interest rate of the account?

Answers

Answer:

  3%

Step-by-step explanation:

The interest on the account is given by the simple interest formula:

  I = Prt

where I is the interest, P is the principal invested, r is the annual rate, and t is the number of years

  375 = 2500r(5) . . . . . . using the given values in the formula

  375/12500 = r = 0.03 . . . . . divide by the coefficient of r

Sonnie's account had a 3% interest rate.

The radius,R, of a sphere is8.2mm . Calculate the sphere's volume,V .
Use the value 3.14 for[tex]\pi[/tex] , and round your answer to the nearest tenth. (Do not round any intermediate computations.)

Answers

( Sphere’s volume ) = 4 x 3.14 x r^3 / 3

The answer is 2308.4

Find the volume of a cone with a height of 6yd and a base radius of 4yd.
Use the value 3.14 for [tex]\pi[/tex] , and do not do any rounding.
Be sure to include the correct unit in your answer.

Answers

Formula : V = πr²h/3

Fill in the values.

(3.14)(4)^(2)(6/3)

V=100.48 yd^3

Find the surface area of the above solid.
O A 72 cm
O B 73 cm.
C. 70 cm
O a 62cm
Help quickly

Answers

I believe it is A because if you find the volume and area of each shape, you get 72

Three 3-digit numbers are formed using the digits 1 through 9 exactly once each. The hundreds digit of the first number is 1. The tens digit of the second number is 8. The units digit of the third number is 5. The ratio of the first number to the second number to the third number is 1:3:5, respectively. What is the sum of the three numbers?

Answers

Answer:

  1161

Step-by-step explanation:

We can solve this using what we know about multiples of 3 and 5. Multiplying the first number by 3 will give the value ...

  1?? × 3 = 38? . . . . where ? is an unknown digit

The two least significant digits in the first number must be ones that give 80-something when multiplied by 3. They will be between 80/3 = 26 2/3 and 90/3 = 30. The requirement that the least significant digit be odd* means the choices are 27 or 29.

When the first number is 127, its triple is 381. The 1 in the least significant digit is disallowed by the requirement that the 9 digits of these numbers be unique. (127 already has 1 as its most-significant digit.)

So, the first number is 129, making the second number be 3×129 = 387, and the third number be 5×129 = 645.

The numbers have the ratios ...

  129 : 387 : 645 = 1 : 3 : 5 . . . . . . . as required.

We note that the digits 1–9 are used exactly once each, as required.

The sum of the numbers is 1161.

_____

* Only odd numbers will give a product that ends in 5 when they are multiplied by 5. The requirement that the third number have a ones digit of 5 means the ones digit of the first number must be odd.

y=x^2-8x+6 complete the square to determine the vertex and maximum or minimum value. Determine the number of x-intercepts.

Answers

Answer:

Below in bold.

Step-by-step explanation:

y = x^2-8x+6

y = (x - 4)^2 - 16 + 6

y = (x - 4)^2 - 10

So the vertex is at (4, -10)

The coefficient of x^2 of this function is 1 ( positive) so there will be  a minimum value.

Minimum value = -10.

x-intercepts:

(x - 4)^2 - 10 = 0

(x - 4)^2   =   10

x -  4 =  +/- √10

x =  4 +/- √10

- therefore there are 2 x-intercepts.

What is the area of triangle PQR rounded to the nearest tenth of a square meter? Drawing is not to scale.

Answers

Answer:

A 31.3

Step-by-step explanation:

just took the test

Answer:

27.0m^2

Step-by-step explanation:

Use the formula A = 0.5 * a * b * sin (x)

this formula is used for obtuse angles where a & b are the sides (12,7) and x is the angle between them.

Fill in the blanks:

A = 0.5 * 12 * 7 * sin (40)

use demos scientific calculator

A= 26.99

round up

27.0 m^2

Which set of side lengths forms a right triangle?

A. 6,8,10
B. 2,4,6
C.1,2,3
D. 2,3,4

Answers

Answer:

A. 6,8,10

Step-by-step explanation:

For a right triangle the the values for the three sides we pick must satisfy the Pythagorean theorem:

a(2 + b(2= c(2

A. 6,8,10

6(2 + 8(2 = 10(2

36 + 64 = 100

100 = 100

Bingo!

(For example lets solve the rest)

B. 2,4,6

2(2 + 4(2 = 6(2

4 + 16 = 36

20 ≠ 36

Nope.

C. 1,2,3

1(2 + 2(2 = 3(2

2 + 4 = 9

6 ≠ 9

No again!

D. 2,3,4

2(2 + 3(2 = 4(2

4 + 9 = 16

13 ≠ 16

Not this one.

Therefore our answer is A.

what is the area of the parallelogram below if b=6.1? Round your answer to the nearest tenth.

Answers

The answer to this is 48.8

Using factor (2u – 1), sin(x) = Using factor (5u + 1), or sin(x) =

Answers

Answer:

sin(x)= 1/2 or sin(x)= -1/5

Answer: a c d e

Step-by-step explanation:2nd part

What is the common ratio for the sequence:
28, -14, 7, -3.5...

Answers

1/2,-1/2 is the answer

The Build-Your-Own-Sailboat booth that Althea visited gave her and hers friend the chance to make a sailboat model. Each boy chose a different quadrilateral for a sail. Althea chose a trapezoid, and her friend chose a parallelogram.

(a) Compose each shape into a rectangle to determine the area. The formula for area of a rectangle is A = lw . What is the area of each quadrilateral?

(b) Althea said that all quadrilaterals can be decomposed into triangles to find the area of the quadrilateral. Is this statement always true, sometimes true, or always false? Give two examples to support your answer.

Answers

A quadrilateral is a four sided figure. It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure

What is a quadrilateral?

A quadrilateral is a four sided figure. The images are not shown here so we don't know what the dimensionof each figure is.

It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure and find the area of the two triangles in order to obtain the area of the orginal figure.

Learn more about  quadrilateral: https://brainly.com/question/13805601

A caterer charges a setup fee of $40, plus $15 per
person. How much will the caterer charge if 22
people attend the party, and the customer has a
coupon for $100 off the total?

Answers

$270



22 times 15 is 330
330 + 40 is 370
370-100 =270

which one is the missing symbol.
4/5 ? 1/2
A. >
B. <
C. =

Answers

Answer:

[tex] \frac{4}{5} > \frac{1}{2} [/tex]

Step-by-step explanation:

[tex] \frac{4}{5} = 0.8[/tex]

[tex] \frac{1}{2 } = 0.5[/tex]

The answer is C. 4/5>1/2

I got a question saying 1 Billon times 43 Millon, how is anyone appost to know this

Answers

[tex]1000000000 \times 43000000 = 43000000000000000[/tex]


Does the point (-5, 10) satisfy the inequality y = 5x + 9?

Yes or no

Answers

Answer:

no

you can subsitute x = -5 into y= 5x+9 and the ans should be -16 instead of -10

so it does not satisfy

Hello!

In order to see whether or not a point satisfies an equation, just plug in the values:-

Instead of y, plug in 10:-

10=5x+9

Instead of x, plug in -5:-

10=5(-5)+9

Solve:-

10=-25+9

10=-16

See? We have a false statement.

Hence, this point does not satisfy the inequality.

I hope it helps you.

If you have any queries regarding my answer, please comment :)

[tex]\bf{CupcakeRealm8701~:)}[/tex]

GIVEAWAY!! QUICK QUESTION!!!

Mr. Segura told Ms. Chang that the coefficient of kk is 11. What would you tell one of your classmates that the coefficient of -k−k is? Type the number, don't write it out!

Answers

Answer:

-2

Step-by-step explanation:

Given :

An example of a coefficient ⇒ '11' in 11kk

Solving :

The coefficient is the part that precedes the variable(s)Therefore, on solving -k - k⇒ -2k⇒ -2 is the coefficient

Answer:

-2

Step-by-step explanation:

Given expression: -k - k

Combine like terms and simplify:

⇒ -k - k

⇒ -(k + k)

⇒ -(2k) = -2k

Determining the constant:

The constant of the term MUST be an integer. It CANNOT be a variable. In this case, the only constant that is a cooeficient of k is -2.

Thus, the cooeficient of -k−k is -2.

Could you also provide an explanation

Answers

Answer:

Equation: y=mx+b

sorry for taking so long! :)

AC) y=-1, because it is remaining constant and the slope is zero, the y intercept is -1.

AB) The slope is 1 and the y intercept is 1.

So, y=x+1

BC) The slope is -6. The y intercept is harder to find. You can use this equation however;

y-y(1)=m(x-x(1)

y-5=-6(x-4)

y=-6x+29

Help!!!!!

The midpoints of the slides of a square are joined to its vertices as shown. What is the ratio of the area of the shaded square inside to the area of the original square

Answers

Answer:

1/5

Step-by-step explanation:

It is easy to see a right triangle on each side of the original square with its hypotenuse on the side of the original square, each with an area of 2⋅A2=A. Thus the total area of the original square is 5A, or the ratio of the area of the shaded square to the original square is 1/5.

​The talent contest has a total of $1000 in prize money. What is the amount of money for each of the five prizes? Show your work. ​Enter your answers and your work in the box provided.

Answers

Answer:

1000/5=200?

There are five prizes?

Each one has an equal amount?

Megan is in charge of creating a five-digit code to lock and unlock a secure room. She can use any digit from 0 through 9, and she can use each digit as many times as she wants. She knows she wants to start the code with a 7.

How many possible codes that start with 7 could Megan create?


10,000 codes

70,000 codes

100,000 codes

700,000 codes

Answers

Answer:

The Answer Is 10,000 Codes

Proof :

Answer:

10,000

Step-by-step explanation:

Took k-12 quiz

The figure below is an isosceles trapezoid. Solve for x.

Note: the figure may not be drawn to scale.

Answers

Answer:

x = 3

Step-by-step explanation:

The diagonals of an isosceles trapezoid are congruent , then

4x - 1 + 4 = 2x + x + 6 , that is

4x + 3 = 3x + 6 ( subtract 3x from both sides )

x + 3 = 6 ( subtract 3 from both sides )

x = 3

Which construction uses the compass for only one step in addition to drawing the circle itself?


A) an equilateral triangle inscribed in a circle

B) a square inscribed in a circle

C) a regular hexagon inscribed in a circle

D) a diameter of a circle

Answers

Answer: A) an equilateral triangle inscribed in a circle

Step-by-step explanation:

       In the mathematical world, a compass is a mathematical tool used for drawing and constructing precise shapes. You have likely seen one of these before, I have attached a visual example of what one might look like.

       Out of these given options, the only one that utilizes a compass for one step in addition to drawing the circle itself is A:

          A) an equilateral triangle inscribed in a circle

Read more about using a compass here: https://brainly.com/question/27490907

If f(x)= 2x^3-12x^2+20x-16 and f(4)= 0, then find all the zeros of f(x) algebraically

Answers

Answer:

x = 4 is the only real zero

Step-by-step explanation:

Find the zero's of f(x)

2x³ - 12x² + 20x - 16 = 0x³ - 6x² + 10x  - 8 = 0x³ - 4x² - 2x² + 8x + 2x - 8 = 0x²(x - 4) - 2x(x - 4) + 2(x - 4) = 0(x - 4)(x² - 2x + 2) = 0(x - 4)(x² - 2x + 1 + 1) = 0(x - 4)[(x - 1)² + 1] = 0x - 4 = 0 ⇒ x = 4, we already know this(x - 1)² + 1 = 0 ⇒ (x - 1)² = - 1, no real solution as the square is never negative

Answer:

[tex]x=4, \quad x=1+i,\quad x=1-i[/tex]

(one real zero and 2 complex zeros)

Step-by-step explanation:

Given polynomial:

[tex]f(x)= 2x^3-12x^2+20x-16[/tex]

According to the Factor Theorem, if f(4) = 0 then (x - 4) is a factor of the given polynomial.

[tex]\implies f(x)=(x-4)(ax^2+bx+c)[/tex]

Expand the brackets:

[tex]\implies f(x)=ax^3+bx^2+cx-4ax^2-4bx-4c[/tex]

[tex]\implies f(x)=ax^3+(b-4a)x^2+(c-4b)x-4c[/tex]

Compare coefficients with the given polynomial:

[tex]\implies a=2[/tex]

[tex]\implies -4c=-16 \implies c=4[/tex]

[tex]\implies (b-4a)=-12 \implies b-8=-12 \implies b=-4[/tex]

Substitute the found values of a, b and c:

[tex]\implies f(x)=(x-4)(2x^2-4x+4)[/tex]

To find the zeros of f(x), set the function to zero and solve for x:

[tex]\implies (x-4)(2x^2-4x+4)=0[/tex]

[tex]\textsf{Therefore},\: (x - 4) = 0\: \textsf{ and }\: (2x^2-4x+4)=0[/tex]

[tex]\textsf{To solve}\: (2x^2-4x+4)=0\: \textsf{ use the quadratic formula}[/tex]

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

Therefore:

[tex]\implies x=\dfrac{-(-4) \pm \sqrt{(-4)^2-4(2)(4)} }{2(2)}[/tex]

[tex]\implies x=\dfrac{4 \pm \sqrt{-16}}{4}[/tex]

[tex]\implies x=\dfrac{4 \pm \sqrt{16 \cdot -1}}{4}[/tex]

[tex]\implies x=\dfrac{4 \pm \sqrt{16}\sqrt{-1}}{4}[/tex]

[tex]\implies x=\dfrac{4 \pm 4i}{4}[/tex]

[tex]\implies x=1 \pm i[/tex]

Therefore, the zeros of the function are:

[tex]x=4, \quad x=1+i,\quad x=1-i[/tex]

(one real zero and 2 complex zeros)

Find the measures of all angles and sides

Answers

Answer:

See attached image.  82 and 98 degrees.

Step-by-step explanation:

On attached document.


I need help finding the mean

Answers

Answer:

there is 5 jokers

Step-by-step explanation:

the dot plot shows that

What is the perimeter of this rectangle pls help

Answers

P=2L+2W
P=(2*4)+(2*8)
P=8+16
P=24

Answer:

24

Step-by-step explanation:

Perimeter of a shape = sum of all lengths of sides

⇒ Perimeter of a rectangle = (2 × width) + (2 × length)

From inspection of the rectangle:

width = 4length = 8

⇒ Perimeter = (2 × 4) + (2 × 8)

                     = 8 + 16

                     = 24

Would you please look at this question? ​

Answers

Answer:

The answer to this question is "x"-meter = 48 = B)

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