Find the length of x of the side of the larger triangle. (Assume that the two triangles are similar, and use the fact that corresponding sides of similar triangles are proportional)
X=

Find The Length Of X Of The Side Of The Larger Triangle. (Assume That The Two Triangles Are Similar,

Answers

Answer 1

Similar triangles may or may not be congruent

The value of x that makes both triangles similar is 4.5

The equivalent ratio of both triangles is:

[tex]\mathbf{2 : 1 = 9 : x}[/tex]

Express the above equivalent ratio as a fraction

[tex]\mathbf{\frac 12= \frac x9 }[/tex]

Multiply both sides of the fraction by 9

[tex]\mathbf{\frac 12\times 9 = \frac x9 \times 9 }[/tex]

Cancel out common factors

[tex]\mathbf{\frac 12\times 9 = x}[/tex]

Divide 12 by 9

[tex]\mathbf{4.5 = x}[/tex]

Rewrite the above expression as:

[tex]\mathbf{x = 4.5 }[/tex]

Hence, the value of x is 4.5

Read more about similar triangles at:

https://brainly.com/question/14926756


Related Questions

Graph the line with slope 1 passing through the point (-3, 1).​

Answers

Answer:

[tex]y = x + 4[/tex]

Step-by-step explanation:

[tex]1 = 1(- 3 )+ b \\ 1 = - 3 + b \\ b = 4 \: \: \: \: y - intercept[/tex]

​NEED HELP ASAP RIGHT ANSWER ONLY 69 POINTS
In two or more complete sentences, determine the appropriate model for the given data and explain how you made your decision.

(2,−1), (3,0.5), (6,1.5),

Answers

Answer:

A Least Square Regression Line is the best thing to use for this because there is inconsistencies and no direct equation to be able to fill all of these points. They may be outliers and therefore we should use a calculator for a Regression Line to be calculated to find the residual.

Step-by-step explanation:

is 78.50 is the same as 78.5

Answers

Answer:

yes, 78.50 is the same as 78.5

Step-by-step explanation:

You can consider 78.50 as 78.5, cause we basically remove the 0 from it.  The whole point is, they are both the same.

Hello there!

Yes, 78.50 is the same as 78.5 because you can remove the 0 and the numbers will be identical.

Hope this helps!

~Just a joyful teen

[tex]SilentNature\\(GraceRosalia)[/tex]

20000 divided by 2 x 56 x 7898 - 100
First to Answer gets brainliest!!!
NO LINKS PLEASE!!!!

Answers

Answer:

0.0226122585576093

Select all of the terms that are "like." 1/2 xy x 2 2xy -xy xy 2 2x 2y

Answers

Answer:

not sure about it this one is tuff

I need help, how do i solve the equations and get the degree for the circle

Answers

Answer:

D 130º

Step-by-step explanation:

3x-70=x+10

so 2x-70=10

x=40

The answer is 130
3x-70=x+10
3x=x+80
2x=80
X=40

Sowy about all my questions b-b-but please help with another one?

Answers

Answer:

A

Step-by-step explanation:

count both sides divide by missing pieices

C: infinitely many solutions, help solve fast pls

Answers

it is c: infinitely many solutions

because you end up with the same teem on both sides so it is infinitely many

Completely Factor the following equations.
a) 3x^3 + 15x^2 + 18x

Answers

Common factor
3x^3 + 15x^2 + 18x

3(x^3+5x^2+6x)
Find one factor
3x(x^2+5x+6)
Factor by grouping
3x(x+2)(x+3)
Solution
3x(x+2)(x+3)

A loan used for buying a home is called a mortgage. The Fortunato family is borrowing $430,000 to buy a home. They are taking out a 30-year mortgage at a rate of 3.55%. a. Compute the monthly payment to the nearest cent. fill in the blank 1 b. Find the total of all of the monthly payments for 30 years. fill in the blank 2 c. What is the total interest? fill in the blank 3 d. Which is greater, the interest or the original cost of the home?

Answers

Using compound interest, it is found that:

a) The monthly payments are of $3,401.49.

b) The total of all monthly payments for 30 years is of $1,224,536.

c) The total interest is of $794,536.

d) The total interest is greater.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.

For the parameters, we have that:

The Fortunato family is borrowing $430,000 to buy a home, hence P = 430000.30-year mortgage, hence t = 30.Rate of 3.55%, hence r = 0.0355.Yearly compounding, hence n = 1.

For practicality, first we are going to solve item b.

Item b:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(30) = 430000\left(1 + \frac{0.0355}{1}\right)^{30}[/tex]

[tex]A(30) = 1224536[/tex]

The total of all monthly payments for 30 years is of $1,224,536.

Item a:

$1,224,536 is paid in 30 x 12 = 360 months, hence:

1224536/360 = $3,401.49.

The monthly payments are of $3,401.49.

Item c:

The interest is the total subtracted from the principal, hence:

1224536 - 430000 = $794,536.

The total interest is of $794,536.

Item d:

Loan of $430,000, interest of $794,536, hence the total interest is greater.

You can learn more about compound interest at https://brainly.com/question/25781328

What is the value of 7x (3 + x/4) when x = −8?

Answers

Answer:

Third option

Step-by-step explanation:

[tex]7x (3 + \frac{x}{4}) = -56 * (3 + -\frac{8}{4}) = -56 * (3 - 2) = -56 * 1 = -56[/tex]

When converted to a household measurement, 9 kilograms is approximately equal to a

Answers

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

What is the answer to this equation

Answers

Answer:

-34/45

Step-by-step explanation:

first step you wanna do is Multiply the numbers -1/5- 1 (-2/3)- (5/6)= -1/5 and -5/9 then subtract those two fractions and you get -34/45 since both of the fractions were negative the answer results as a negative aswell


Peter Piper picked 3 pecks of pickled peppers in 2.5
hours. How many pecks of pickled peppers does
Peter pick in 15 hours?

Answers

18

double the peppers from 3 to 6 and add another 2.5 to 2.5 and you get 5. multiply the 6 peppers and 5 hours by 3 and you get 18 peppers in 15 hours. picture of math is attached

How would I be able to simplify 12/3? Please explain step by step

Answers

Answer:

4/1

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 12 and 3 is 3.

12 ÷ 33 ÷ 3.

Reduced fraction: 41. Therefore, 12/3 simplified to lowest terms is 4/1.

Answer:

i think you divide 12/3 and you get the answer of 4

Step-by-step explanation:

Data was recorded for the temperature, in degrees Celsius, of a cup of coffee over a 30-minute period. Given the regression equation, , what is the predicted temperature after 3 minutes?
33.45 oC
62.24 oC
65.17 oC
66.69 oC

Answers

Answer:

62.24

Step-by-step explanation:

The predicted temperature after 3 minutes will be 62.24 °C. Then the correct option is B.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

A cup of coffee's temperature was measured over a 30-minute period in degrees Celsius.

Let T be the temperature and t be the time. Then the regression equation is given as,

ln T = 4.20 - 0.023 t

Then predicted temperature after 3 minutes is given as,

ln T = 4.20 - 0.023 x 3

ln T = 4.20 - 0.069

ln T = 4.131

T = 62.24 °C

The predicted temperature after 3 minutes will be 62.24 °C. Then the correct option is B.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ5

Find g(x) for each x value in the table

Answers

Answer:

-2 = -2/7

-1= -1/7

0=0

1= 1/7

2= 2/7

Step-by-step explanation:

it gives you a function of 1/7 so you multiply it by x and u get the g(x) also know as Y

x+2y-z=5
-X-y+2z=-13
2x+y-2z=14

Answers

Answer:

[tex]x+2y-z=5 ...(1)\\ -x-y+2z=-13...(2) \\ 2x+y-2z=14...(3) \\ \\ add \: (2) + (3) \\\boxed{x= 1} \\ 2 \times (1) + (2) \\ x + 3y = - 3 \\ 1 + 3y = - 3 \\ 3y = - 4 \\ \boxed{y = - \frac{4}{3} }\\ solve \: for \: z \\ x + 2y - z = 5 \\ 1-\frac{4}{3}(2)-z=5\\3-8-3z=15\\3z=-20\\\boxed{z = - \frac{20}{3} }[/tex]

convert 1040 weeks to months with solution

Answers

Answer:

1040 x 0.229984 = 239.18336

months = 239

I know how to do it just then one’s a bit confusing

Answers

Answer:

208 ft^3

Step-by-step explanation:

Let the plane through the 4 ft X 4ft square at the top of the figure break the figure into 2 boxes, one has dimensions (8-7) by 3 by 4 = 1ft X 3ft X 4ft, and the other has dimensions 7 by 7 by 4 = 7ft X 7ft X 4ft.

They have volumes of (1)(3)(4) = 12 ft^3, and (7)(7)(4) = 196 ft^3, respectively, so the total volume = 12 + 196 = 208 ft^3, the answer.

there are 270 sixth grade students and 45 chaperones going on a field trip. how many students will be with each chaperone if the groups are divided equally.

Answers

Answer:

6

Step-by-step explanation:

270 divided by 45

=6

Can you please Help me?

Answers

Answer:

D. 5i

Step-by-step explanation:

edge 2021

Question Choice Worth 2 points)
(02.06Derek has a bird that weighs 4 pounds. Use the double fine diagram below to help you determine approximately how many kilograms this bird weighs
3 5 7
Pounds
1 2 3
Kilograms
15 klograms
O2 xilogram
5 kilograms
7 kilograms

Answers

A is the Roth answer

from a piece 20m long ,100 pieces each 7.5cm are cut off how much remain​

Answers

Answer:100*7.5=750cm=7.5 m

left rope=20-7.5=12.5m

Step-by-step explanation:

Pa Brainliest Kung Pwede.

Answer:

12.5 metres

Step-by-step explanation:

→ Multiply the pieces by the length

100 × 7.5 = 750 cm

→ Convert to metres

750 cm = 7.5 metres

→ Minus from original length

20 - 7.5 = 12.5 metres

Write an equation that represents the line.
Use exact numbers.

Answers

Answer:

y = 1.5x + 3

Step-by-step explanation:

Take the two points marked by the blue dots.

(0,3), (2,6)

Start with (0,3). The zero makes the other number with it = to the y intercept.

So far what you know is

General equation: y = mx + b

b = 3

Partial equation: y = mx + 3

Givens

To get m, you need both points.

y2 = 6

y1 = 3

x2 = 2

x1 = 0

Equation

m = (y2 - y1)  / (x2 - x1)

m = (6 - 3) / (2 - 0)

m = 3 / 2

Entire equation

y = 3/2 x + 3

or

y = 1,5x + 3

A sales person at a car dealership earns a monthly salary of $2400 and $250 for each vehicle sold

3. The car dealership sets a goal for each salesperson to sell at least 12 cars per month. The salesperson
achieves this goal every month for the entire year. What is the minimum amount of money the
salesperson earns for the entire year? Show your work.
I

Answers

Answer:

8 vehicles

Step-by-step explanation:

Given: Monthly salary of salesperson is $2400

         Incentive of salesperson is $250 per vehicle sold.

First, lets compute income to earned apart from salary.

∴ Deduct salary from the target amount

$2000 need to be earned only through incentive, which is $250 per vehicle sold.

Now, solving to get number vehicles to be sold to earn $2000 as incentive.

Number of vehicle=

8 vehicles need to be sold by salesperson to get total earning as $4400.

hi pls help me!!! thank you

Answers

Step-by-step explanation:

Circumference (C):

[tex]C = 2\pi r = 2\pi(5\:\text{ft}) = 31.4\:\text{ft}[/tex]

Area (A):

[tex]A = \pi r^2 = \pi(5\:\text{ft})^2 = 78.5\:\text{ft}^2[/tex]

The time it takes a worker on an assembly line to complete a task is exponentially distributed with a mean of 8 minutes. a. What is the probability density function for the time it takes to complete the task? b. What is the probability that it will take a worker less than 4 minutes to complete the task? c. What is the probability that it will take a worker between 6 and 10 minutes to complete the task?

Answers

ounces is In the apothecary system of measurement, equal to one apothecary pound. a) eight O b) 16 c) 12 d) four

NO LINKS OR ASSESSMENT!!!!

Answers

Answer:

See below and attached

Step-by-step explanation:

1. There are infinite number of lines going from only one point (2, 5)

No definite solution for line A.

2. This is a proportional relationship, since line passes through the origin. The slope is -3.

The line B is:

y = -3x

3. Points (-3, -2) and (3, 10)

The slope:

m = (10 + 2)/(3 + 3) = 2

The y - intercept:

10 = 2*3 + b ⇒ b = 4

The line C is:

y = 2x + 4

4. The rate of change is m = 2.5

The y- intercept:

1 = 2*2.5 + b ⇒ - 4

The line D is:

y = 2.5x - 4

5. Line E has a slope of 4, no sufficient info to conclude.

y = 4x + b, with any value of b

6. Line F has m = -3/4 and passes through (8, -1).

The y -intercept is:

-1 = 8(-3/4) + b ⇒ b = 5

The line F is:

y = -3/4x + 5

7. G is not a linear relationship as the function increases exponentially with common ratio of 3.

Given f(x)=3x(to the scnd power)−5x−2. What is the value of f(−2/3)? 1 8/3 3 10/3

Answers

Given:

[tex]f(x)=3x^2-5x-2[/tex]; find f(-2/3)

Answer:

[tex]f(-\frac{2}{3} )=\frac{8}{3}[/tex]

Step-by-step explanation:

1. Insert [tex]-\frac{2}{3} \\[/tex] as X; [tex]f(-\frac{2}{3}) = 3 (-\frac{2}{3} )^2 - 5 (-\frac{2}{3}) - 2[/tex]

2. Solve equation; [tex]f(-\frac{2}{3} )=\frac{8}{3}[/tex]

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