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

Solve the following inequality

Answers

Answer:

14<x<20

Step-by-step explanation:

14<x<20 is your required answer

Order -3,5, 16, and -10 from least to greatest.
Then order the same numbers from closest to
zero to farthest from zero. Describe how your
lists are similar.

Answers

Least to greatest: -10, -3, 5, 16
Closet to farthest from 0: -3, 5, -10, 16

The product of two rational numbers is 117/40. If one of them is - 13/5, find the other.​

Answers

Answer:

= - 9/8

Step-by-step explanation:

(-13/5) * x = 117/40    multiply both sides by  - 5/13

     x =  117 / 40  *  - 5/13  = - 9/8

A’B’C’ is a reflection of ABC over the y_axis. What is the length of A’C’?

Answers

~Denki~

Answer:

the length of "AC" should be the same as it was before it was reflected over the y-axis.

(there is no picture so i cant get as specific as intended)

hope this helps :D

WORTH 80 sorry its zoomed out but is there cluster or outliers where and explain why

Answers

Answer:

15.42, 25.49, 46.19

Step-by-step explanation:

although 32.28, 40.40 could also be considered

The probability that the sample will accurately represent the target group within the margin of error is called the Group of answer choices confidence level. polling bias. margin of error. random sample.

Answers

Answer:

What is the probability of a sample mean?

The Probability of a Sample Mean The Probability of a Sample Mean We saw in the previous section that if we take samples, the distribution of the sample means will be approximately normal. This will hold true even when the underlying population is not normally distributed, provided we take samples of n=30 or greater.p-by-step

Find the y-intercept and the slope of the line. y=-5/4x+3

Answers

Answer:

y intercept is (3,0) and slope is -5/4

Step-by-step explanation:

Look at the equation and know y=mx+b formula

What type of ballots are used when voting for president in the United States?

preference ballots

traditional ballots

alternative ballots

conventional ballots

Answers

Answer:

preference ballot

Step-by-step explanation:

A preference ballot is a ballot in which the voter ranks the choices in order of preference.

Answer:

Traditional ballots

Step-by-step explanation:

i took the test

Work out the equation of the line which has a gradient of 2 and
passes through the point (2, 5)

Answers

Answer:

y=2x+1

Step-by-step explanation:

You use the equation y=mx+b and substitute m for the slope/gradient. Then you use (2,5) to subtitue for y and x. Solve the equation for b. Then you have your slope and b, and you can make your equation from this.

8th grade mathe help8th grademath heelp

Answers

Answer:So for number 35 you will put the qwestion in a calculator... now you have your answer so put that ansor to the side, and solve all of the ones in the answer choices and see which one has a common answer from the one in the problem

Step-by-step explanation:

Which is the recursive formula for this arithmetic sequence? an = an – 1 7 where a1 = –10 an = an – 1 17 where a1 = –10 an = 7an – 1 - 17 where a1 = –10 an = an – 1 – 7 where a1 = –10.

Answers

Answer: 1. 10

2. an = an - 1 + 7 where a1 = -10

Step-by-step explanation:

Answer: A. an = an – 1 + 7 where a1 = –10

Step-by-step explanation:

The prism below has dimensions 2 inches by 3 inches by 4 inches. To the right of the prism, shade the number of prisms necessary, if stacked on top of each other as shown, to create a new prism with a surface area between 100 square inches and 130 square inches.
HELPPPPPPPPPPPP

Answers

The area of the stacked prism is the amount of space on it

To create a total area between 100 square inches and 130 square inches, 2 to 2.5 prisms

How to determine the number of prisms?

The dimension of the prism is given as:

2 inches by 3 inches by 4 inches

The surface area of the prism is calculated as:

A = 2 * (LW + WH + LH)

This gives

A = 2 * (2 * 3 + 3 * 4 + 2 * 4)

Evaluate the product

A = 52

When the prisims are stacked onto one another, the surface area is between 100 square inches and 130 square inches.

So, the number of prisms (n) needed is:

100/ 52 < n < 130/52

Evaluate the quotient

1.9 < n < 2.5

Approximate

2 < n < 2.5

Hence, 2 to 2.5 prisms are needed to create a total area between 100 square inches and 130 square inches.

Read more about areas at:

https://brainly.com/question/24487155

The length of a rectangle is twice its width, The perimeter of the rectangle is 36ft. what are the length and width of the rectangle?​

Answers

Answer:

length is 12 feet and the width is 6 feet

Step-by-step explanation:

w=width  l=length

l=2w

2l+2w=36ft

4w+2w=36ft

6w=36ft

w=6ft

l=2*6=12ft

Fiona is studying how income taxes impact various families and their finances. She creates a table with various amounts of taxes owed and estimates that this represents 9% of each family’s gross income.

Answers

Using proportions, it is found that the values that complete the table, from top to bottom, are given by: $670, $920, $1500, $2100.

What is a proportion?

A proportion is a fraction of a total amount.

Considering that the amounts in taxes correspond to 9% of the gross income, we have that for each family, we will find the incomes as follows:

Family 1:

0.09I = 60.30.

I = 60.30/0.09

I = $670.

Family 2:

0.09I = 82.80.

I = 82.80/0.09

I = $920.

Family 3:

0.09I = 135.00.

I = 135.00/0.09

I = $1500.

Family 4:

0.09I = 189.00.

I = 189.00/0.09

I = $2100.

More can be learned about proportions at https://brainly.com/question/24372153

Write 2 In 6 + 3 In 4 - 5 In (1/3) as a single logarithm

Answers

Answer:

ln 559872

Step-by-step explanation:

2 In 6 + 3 In 4 - 5 In (1/3) = ln 6² + ln 4³ - ln (⅓)⁵

= ln 36 + ln 64 - ln 1/243

= ln [(36×64)/(1/243)]

= ln 559872

The following points lie on a certain line.
х, у
-2, -11
1. -5
4, 1
6, 5
What is the equation of the line?
Oy=-3x + 3
Oy - 2x - 3
Oy - 2X-7
o y = -4x + 2

Answers

[tex]y = 2x - 7[/tex]

should be it

What is the multiplier for a 12% increase

Answers

Answer:

d

Step-by-step explanation:

d because 12% is = to 0.12

so D

Use the image below to find the missing side lengths.

Answers

Answer:

Step-by-step explanation:

Find the binomials that created the generic rectangle below.

Answers

I think the answer is 12x* - 14x +4

The change in the x-coordinates of any two points on a line in the xyplane is
the
O A. slope
B. rise
C. run
D. angle
SUBMIT

Answers

Answer: The change in the x-coordinates of any two points on a line in the XY plane is the:RUN

Step-by-step explanation:

i need answer please a 78 b 204 c 102 d 51​

Answers

[tex]\bold{ANSWER:}[/tex]
OPTION A: 78

[tex]\bold{EXPLANATIONS:}[/tex]

ayuda porfa, quien entiende???

Answers

Answer:

c

Step-by-step explanation:

the right answer is c it good

Using the function f(x) = 32 * (3/4)z, evaluate the following mentally.
f(3) =

Answers

Answer:

I also need help with this I'm new to this app so id

NEED HELP ASAP!!! GIVING BRAINLIEST+20 POINTS TO B4ST ANSWER FOR THESE 2 QUESTIONS!! YOU CAN DO IT! :D


1. Solve two thirds times two thirds.

1.two ninths

2.two sixths

3.four ninths

4.four over one



2. Matt is painting a mural on a 1-square meter section of a wall. He has completed a rectangular part of the mural that is four sixths of a meter wide and two fifths of a meter tall. What part of the mural has been completed?

1. four fifths
2. eight sixths
3. six elevenths
4. eight thirtieths

Answers

Answer:

See below ↓↓

Step-by-step explanation:

1.

2/3 x 2/3Numerator (N) = 2 x 2 = 4Denominator (D) = 3 x 3 = 9Fraction = N/D = 4/9⇒ 3. four ninths

2.

Area completed = 4/6 x 2/5Numerator (N) = 4 x 2 = 8Denominator (D) = 6 x 5 = 30Fraction = N/D = 8/30 ⇒ 4. eight thirtieths

Explanation:

[tex]\bold{two \ third \ refers \ to }\ \ \boxed{\sf \frac{2}{3}}[/tex]

[tex]\hookrightarrow \sf \dfrac{2}{3} *\dfrac{2}{3}[/tex]

[tex]\hookrightarrow \sf \dfrac{2*2}{3*3}[/tex]

[tex]\hookrightarrow \sf \dfrac{4}{9}[/tex]

answer: four ninths

2nd

area of the finished part:

Length * Width

[tex]\hookrightarrow \sf \dfrac{4}{6} * \dfrac{2}{5}[/tex]

[tex]\hookrightarrow \sf \dfrac{4*2}{6*5}[/tex]

[tex]\hookrightarrow \sf \dfrac{8}{30}[/tex]

answer: eight thirtieths

Select the correct answer. Which graph represents this equation? y − 4 = -3(x + 5) A. B. C. D.

Answers

D is the graph closest to the one shown

Rectangular pyramid B is the image of rectangular pyramid A after dilation by a scale factor of 33. If the surface area of rectangular pyramid B is 1215 cm^2
2
, find the surface area of rectangular pyramid A, the preimage.

Answers

After dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²

To find the area of rectangular pyramid A given rectangular pyramid B, we need to know its scale factor.

What is scale factor?

Scale factor is the ratio of the corresponding sides of two objects.

Now, since rectangular pyramid B is the image of rectangular pyramid A, we have that (since we are dealing with areas)

(Scale factor)² = surface area of rectangular pyramid B/surface area of rectangular pyramid A

Surface area of rectangular pyramid A

So, surface area of rectangular pyramid A = surface are of rectangular pyramid B/(scale factor)²

Since

scale factor = 33 and surface area of rectangular pyramid B = 1215 cm²

surface area of rectangular pyramid A = surface area of rectangular pyramid B/(scale factor)²

So, substituting the values of the variables into the equation, we have

surface area of rectangular pyramid A = 1215 cm²/33²

= 1215 cm²/1089

= 1.12 cm²

So, after dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²

Learn more about scale factor here:

https://brainly.com/question/26467371

I need help with this problem?

Answers

Answer:

Step-by-step explanation:

Volume of cylinder:

[tex]\boxed{\text{Volume of cylinder=$\pi r^{2}h$}}[/tex]

Bottom cylinder:

1 inch = 2.54 cm

 diameter = 14 in

r = 14/2 = 7 in

r = 7 *2.54 = 17.78 cm

h = 4 in = 4*2.54 = 10.16 cm

Volume = 3* 17.78 * 17.78 * 10.16

             = 9635.59 in³

Upper cylinder:

diameter = 12 in

r = 12/2 = 6in

r = 6*2.54 = 15.24 cm

h = 12 in = 12*2.54 = 30.48 cm

Volume = 3 * 15.24 *15.24 * 30.48

             = 21237.63 in³

Volume of the object = 9635.59 + 21237.63                  

                                     = 30873 cm³

Mr. Potter's class will take a test for 1\dfrac121 2 1 ​ 1, start fraction, 1, divided by, 2, end fraction hours. They need to finish by half past 111111 to get to lunch on time. What is the latest time the class can start the test to get to lunch on time?

Answers

Answer:

is it half past one or another no?

how many students are involved in the school music program but not school sports

Answers

Answer:

45% of the school because some will sign up

On Saturday, Mark sold 2 7/8 gallons of lemonade.On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, in gallons, did Regan sell?

Answers

The quantity of lemonade that Regan sold on saturday given the amount sold by Mark is 1 11/12 gallons.

What are fractions?

Fractions are non-integers that consist of a numerator and a denominator. A proper fraction is a fraction in which the numerator is less than the denominator. e.g. 2/3. A mixed fraction is made up of a whole number and a proper fraction. An example is 2 7/8.

How much lemonade did Regan sell?

2 7/8 x 2/3

23/8 x 2/3 = 23/12 = 1 11/12 gallons

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

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