Find the unknown length given that the triangles are similar.

Find The Unknown Length Given That The Triangles Are Similar.

Answers

Answer 1

Answer:

20 is the answer.

Step-by-step explanation:

1. Make a proportion.

Set the numbers equal to each other.

I chose the numbers 9, 12, 15, and of course x.

Make the fractions in a way that the x is in the numerator if you want to make your life easier.

15/9 = x/12

2. Simplify

Cross multiply the numbers.

This will give you the equation of

9*x and 15*12

3. Make an equation

Simplify the numbers by mulitplying them

9x = 180

4. Divide both sides by 9

9x = 180

/9      /9

x = 20

Hope this helped,

Kavitha Banarjee


Related Questions


[tex]4x -3 = 11x[/tex]

Answers

The answer is : -3/7

You move the terms so it looks like: 4x = 11x + 3

Then you collect like terms so you should have -7x = 3

After that just divide both sides by -7x and x should equal -3/7

Answer:

[tex]x=-\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]4x-3=11x\\\\4x-3+3=11x+3\\\\4x=11x+3\\\\4x-11x=11x-11x+3\\\\-7x=3\\\\\frac{-7x=3}{-7}\\\\\boxed{x=-\frac{3}{7}}[/tex]

Hope this helps.

If Dominik completes a project by himself, it will take him 8 hours. Working with Katarina, it will take them 5 hours. If they work together, what is the missing value from the table that represents the part of the project Dominik will complete? 8r 8(5) r (5)

Answers

Hello soldier!! The answer is D! Have a great day <3

Answer:

The answer is: D / 1/8(5)

Step-by-step explanation:


Of the 50 U.S. states, 4 have names that start with the letter W.
What percentage of U.S. states have names that start with the letter W?

Answers

Answer:

0.08 percent

Step-by-step explanation:

Answer:

0.08%

Step-by-step explanation:

i just did 4/50. i know this works because i use it to find my grade percentages.

a team of divers assembles at an elevation of -10 ft relative to the surface of the water. Then the team dives at a rate of the water. Then the team dives at a rate of -50ft/min. Write a rule that represents the teams depth d as a function of time t. What is the team's depth after 3 minutes?

Answers

Answer: The team will be 160 feet below sea level after 3 minutes.

Step-by-step explanation:

If the team is at -10 ft relative to sea level then it means that they are 10 feet below sea level, and if they also going  -50 ft per minute, it also means that they are still going below sea level.

The rule will be,     d= -50t -10        

If t is the time, input 3 minutes into  the equation for t and solve for d to find their depth.

d= -50(3) - 10

d= -150 - 10

d= -160

How many 2.25-pound containers can you fill with 24.75 pounds of almonds?

Answers

Answer:

You can fill 11 containers.

Step-by-step explanation:

This problem is asking you to divide 24.75 pounds among 2.25 pound holding containers.

So all you must do is divide 2.25 by 24.75. This leaves us with a quotient of 11.


Why is it impossible to represent a vertical line using the slope-intercept form and the point-slope form of a linear equation?

Answers

Answer:

Both equations include the slope, which is undefined for a vertical line.

Step-by-step explanation:

it just is lol

What is the slope between (3,5) and (3,14)

Answers

Answer:

the slope between (3,5) and (3,14) is a positive slope

Step-by-step explanation:

Answer: The slope would be a positive slope.

Write an inequality to equal y < -5

Answers

Answer:

2y - 3 < -13

Hope this helps

Sally spins a fair spinner numbered 1 - 6 and flips a fair coin. What is the probability of obtaining a multiple of 3 and a tail?

Answers

The probability is 1/6

The likelihood of Sally spinning a multiple of 3 is 2/6 (or 1/3).

The likelihood of her flipping a tail is 1/2.

To find the probability of two independent events, multiply said individual probabilities together.

(1/3)(1/2) = 1/6

Write an equation of the line that passes through a pair of points:
(-3,1). (-2,-5)

Answers

Answer:

[tex]y=-6x-17[/tex] (B)

Step-by-step explanation:

[tex]y=mx+b\\m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{1--5}{-3--2} = \frac{6}{-1} = -6\\y=-6x+b\\[/tex]

Plug in one of the two points for X and Y

(-3,1)

[tex]1=-6(-3)+b\\1=18+b\\b=-17\\\\y=-6x-17[/tex]

Blake and Josh are both saving money for a new bike. The ratio of Blake's savings to Josh's savings is 3:1. If they have saved $400, how much has each boy saved?

Answers

Given:

Total savings = $400

Ratio of savings of Blake and Josh = 3:1

To find:

The saving of each.

Solution:

Let the savings of Blake and Josh are 3x and x respectively.

According to the question,

[tex]3x+x=400[/tex]

[tex]4x=400[/tex]

Divide both sides by 4.

[tex]x=100[/tex]

Now,

Savings of Blake = 3(100)=300

Savings of Josh =100

Therefore, the savings of Blake and Josh are $300 and $100 respectively.

identify property for -9/7 x -7/9 = 1

Answers

Answer:x = −112/81

Step-by-step explanation:


Please answer as soon as possible! Thanks
Transformation Questions)

Answers

Answer:

A = 1,1 ; 2,3 ; 5,3 ; 4,1 B = 1,-1 ; 2,-3 ; 5,-3 ; 4,-1

use the law of exponents to rewrite (5^9)^2

will give brainiest and 50 point bet u do not get it right

Answers

Answer:

I'm pretty sure it's:

5x5x5x5x5x5x5x5x5 x 2x2


Which function could this graph represent?

A) an even-degree function with two relative extrema

B) an odd-degree with three relative extrema

C) an even-degree function with three relative extrema

D) an odd-degree with two relative extrema

Answers

Answer:

Option (A)

Step-by-step explanation:

From the graph attached,

Right and left ends of the graph are moving downwards.

Ends moving upwards or downwards (In the same side of x-axis) tells the graph to be an even function.

There are two maximum points (points having maximum y-values)represent the two relative extrema of the function.

Therefore, Option (A) will be the correct option.

Witch fraction is not in simplest form 5/15 or 5/12

Answers

5/15, it can still be divided by 5
5/15 in simplest form is 1/5

Help me again!!!!!!

!!!!

Answers

The answer is D. $15a+$10c=$225

Answer:

D

Step-by-step explanation:

the part two shows that 20 tickets were purchased adult and child

adults were 15 dollars and added with the childs10 dollar tickets added togethor to get 225 dollars.

Given: ΔDFE is isosceles with base FE; FB ≅ EC. Prove: ΔDFB ≅ ΔDEC Triangle D F E is shown. 2 lines drawn down from point D to points C and B on the base of the triangle to form 3 triangles. Complete the missing parts of the paragraph proof. We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because . Segment DF is congruent to segment by the definition of isosceles triangle. Since these segments are congruent, the base angles, angles , are congruent by the isosceles triangle theorem. Therefore, triangles are congruent by SAS.

Answers

answer picture answer picture

Answer:

1. it is given

2. DE

3. DFE and DEF

4. DFB and DEC

Which equation represents the graph shown below
A) y=2x+3
B) y=3x+2
C) y=2/3x+b
D) y=5x

Answers

A.) y=2x+3
Since the y intercept is 3

Answer:

A  Y=2X +3

Step-by-step explanation:

Y=mx +b

y=2x + 3

slope is 2

y intercept is 3


Need this answer ASAP cuz im dumb.


Mr. Scott likes to pose interesting problems to his Mathematics classes. Today,
he started with the expression 6
2020 + 72020. He stated that the expression was
not equivalent to 132020 and that he was not interested in the actual sum. His
question to his class and to you is, “What are the final two digits of the sum?”

Answers

Answer:

40. This is so easy yet so dumb. Why is this even a question?

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

True or False: |18 - 7| = |18|+ |-7|

Answers

Answer:

False.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

|Absolute Value| - makes any number positive

Step-by-step explanation:

Step 1: Define

|18 - 7| = |18| + |-7|

Step 2: Check

Subtract:                    |11| = |18| + |-7|Evaluate:                    11 = 18 + 7Add:                           11 ≠ 25

Here we see that 11 does not equal 25.

∴ The statement is false.

Answer:

false

Step-by-step explanation:

because th abosulte value of negative 7 is positive 7 then the equation would not be equal

Which equation represents a line parallel to ?
A. 2x-4y=28
B. 4x+2y=10
C. 4x-2y=10
D. 2x+4y=10

Answers

Answer:

b

Step-by-step explanation:

Brianna bought a bicycle for $275.It is now on sale for $150. Find the percent of change of change in the price. Round to the nearest percent.

Answers

Answer:

45%

Step-by-step explanation:

First we find the difference between the prices,

[tex]275-150[/tex]

is 125

and

[tex]125/275=0.454545454545.....[/tex]

which in percentage is

[tex]45.4545454...[/tex]

and that rounds to 45%

please help I am doing a timed test I will choose brainliest

Write the standard form of the equation of a line with a slope of 3 passing through the point (-5, -6).

Select one:
a. -x + 3y + 13 = 0
b. -3x + y - 9 = 0
c. 3x - y + 9 = 0
d. x - 3y - 13 = 0

Answers

Answer:

Step 1: We need to first find the equation of the line in slope-intercept form by finding b, or the y-intercept.

[tex]-6 = 3(-5) + b\\\\-6 = -15 + b\\\\9 = b[/tex]

Step 3: We now need to write the equation of the line in slope-intercept form.

[tex]y = 3x + 9[/tex]

Step 3: Now we convert the above equation from slope-intercept form to standard form.

[tex]y = 3x + 9\\\\-3x + y = 9\\\\-3x + y - 9 = 0[/tex]

Our equation in standard form is: B. -3x + y - 9 = 0.

[tex](-4)(-2)-6(2-5)[/tex]

Answers

Answer:

26

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define expression

(-4)(-2) - 6(2 - 5)

Step 2: Evaluate

Parenthesis (Subtract):                    (-4)(-2) - 6(-3)Multiply:                                            8 + 18Add:                                                  26

I need help asap no rocky

Answers

I think its 2346483

Step-by-step explanation:

The Advanced Drama Club is selling tickets for Annie. Pre-registered tickets cost $6 and tickets at the door cost $8.50. The total number of tickets sold was 355. The total amount received was $2,580. Write a system to determine how many of each type of ticket was sold. Use p for pre-registerd and d for tickets purchased at the door. Solution: (pre-registered tickets, door tickets)

Answers

6/8.50=2 we get 35 ticket did help

Tommy is thinking about entering a contest at the local gas station. Some of Tommy's friends explained to him that the probability of winning the free tank of gas was 0.27. Tommy understands probabilities better when they are given in ratio form. (For example 1 out of every 6 will win. Give Tommy your estimate of 0.27 probability in ratio form

Answers

Answer:

[tex]\dfrac{27}{100}[/tex]

Step-by-step explanation:

The number [tex]0.27[/tex] can be attained by the following expression

[tex]0.27=\dfrac{k27}{k100}[/tex]

Where

[tex]k[/tex] = any positive positive integer.

Let us take the minimum ratio

[tex]0.27=\dfrac{1\times 27}{1\times 100}[/tex]

[tex]=\dfrac{27}{100}[/tex]

where [tex]k = 1[/tex]

So, the probability estimate in ratio form is [tex]\dfrac{27}{100}[/tex].

8% of $40 is $
plzzz help

Answers

Answer:

$3.2

Step-by-step explanation:

so there's a strategy to do this its very helpful!

100%-$40

8%-x

~cross multiply~

100x=320

÷100     ÷100

________________

x=$3.2

Hope this helps :D

Suppose that y is inversely proportional to the 4th power of x, and that y=15 when x=5. What is y when x=7? Round your answer to two decimal places if necessary.

Answers

Answer:

y = 3.91 when x =7

Step-by-step explanation:

y = k / x⁴

Where,

k = constant of proportionality

y=15 when x=5

y = k / x⁴

15 = k / 5⁴

Cross product

15 × 5⁴ = k

15 × 625 = k

9,375 = k

What is y when x=7?

y = k / x⁴

= 9,375 / 7⁴

= 9,375 / 2401

= 3.9046230737192

Approximately

y = 3.91

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