Mathematics High School

If triangle ABC is similar to triangle DEF, what is the value of x?

12 cm

36 cm

15 cm

5 cm

Answers

Answer 1

Answer:

x = 15 cm

Step-by-step explanation:

If triangle ABC is similar to triangle DEF, then:

[tex]\dfrac{AC}{DF}=\dfrac{BC}{EF}[/tex]

Therefore:

[tex]\dfrac{x}{5}=\dfrac{12}{4}\\\\\dfrac{x}{5}=3\\\\x=15[/tex]

Related Questions

Which equation could be used to find the length of the hypotenuse?

Answers

The answer is A. The formula to this is A^2 + B^2 = C^2

Simplify the expression by combining like terms.
15 + 12z– 5z + 4y- 7

Answers

Answer: = 4y + 7z + 8

Answer:

7z+4y+8

Step-by-step explanation:

Collect the like terms so 12z-5z would be 7z, then since there is only 1 y term it would be 4y, and -7 + 15= 8

What is the yyy-intercept of y=5x-1y=5x−1y, equals, 5, x, minus, 1?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
(-1,0)(−1,0)left parenthesis, minus, 1, comma, 0, right parenthesis

(Choice B)
B
(0,-1)(0,−1)left parenthesis, 0, comma, minus, 1, right parenthesis

(Choice C)
C
(5,0)(5,0)left parenthesis, 5, comma, 0, right parenthesis

(Choice D)
D
(0,5)(0,5)

Answers

Answer:

B.(0,-1)

Step-by-step explanation:

Answer:

B.(0,-1)

Step-by-step explanation:

i just got it right

A bike path is 8 miles.Max is 40% if the way to the end.How far is max on the path

Answers

Answer:

3.2

Step-by-step explanation:

0.42*8 =3.2

A 20 foot ladder is leaning up against the side of a house. The construction worker who put it there followed the directions on the ladder's specifications which said to make sure the ladder was at least 8 feet away from the base of the wall to ensure safety. Say we want to re-word the directions and specify the angle of elevation of the ladder instead. What could the directions say about the angle of elevation?

Answers

Answer:

Keep the ladder at a 66 degree angle of elevation at most.

Step-by-step explanation:

Hypotenuse is 20 feet

Adjacent side is 8 feet

We use inverse cosine to find the angle

arccos(8/20) = 66.4 deg

e^2 x e^3=? jbdbiuevdeqdkjufwdufhdkfbskdjbfwjrbfkuwvkusnaer

Answers

Answer:

e^5

Step-by-step explanation:

When you multiply with exponents you add ONLY the exponents and multiply the variables

CAN SOMEONE HELP ME WITH THIS PLEASE!!

Answers

Answer:

Step-by-step explanation:

the money increases hourly so A and C are wrong. and it is constant so the answer is B

Will give brainliest!! Please help!!
Brian is playing a game with the spinner shown below. Each section is the same size.

What is the probability that the arrow will land on a number that is divided by 3 if Brian spins it one time?.

Answers

the probability would be 2/8 or 25%

10x – 2 – 6x = 3x – 2 + x
A. one solution
B. no solutions
C. infinitely many solutions

Answers

Answer:

Step-by-step explanation:

4x-2=4x-2

when u simplify the equations you get 4x-2=4x-2 therefore they are the same line which results in infinitely many solutions.

(pls mark brainliest)

Answer:

there is one solution

Step-by-step explanation:

what answer this is ?

Answers

Answer:

A and C

Step-by-step explanation:

If the fraction is negative either the numerator or the denominator can be marked negative and it stays the same

Which of the following is divisible by 3?

Answers

Answer:

108 and 150

Step-by-step explanation:

108/3=36

150/3=50

Mary read six books in January, four books in February, and eight books in March.What
was the average number of books read each month?

Answers

On average she read 6 books per month because 6+4+8=18 then you divide 18 by 3 which equals out to 6

Mr. Gonzalez invested $4,200 into an account that earns a simple interest rate of 3% per year.

What is the amount of interest Mr. Gonzalez will earn at the end of one year?

Answers

Answer:

4326

Step-by-step explanation:

4200/100x3=126

4200 + 126=4326

Answer:

Step-by-step explanation:

4326

Which one is correct :)

Answers

Answer:

Top Left Again :D

Step-by-step explanation:

yes

HELP ASAP I DONT HAVE TIME AND IT ALSO DETECTS IF ITS RIGHT OR WRONG

Answers

Answer:

24 games can be played for $20

Answer:

20 ≥ 8 + 0.50g

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Help me edjdhvsvjwjsjdhsb

Answers

Answer:

Step-by-step explanation:

C is wrong! The answer is B, it is asking for the range, not domain so you need to go off of the y-axis.

Determine the intercepts of the line

Answers

Answer:

x-int: (-40, 0)

y-int: (0, 15)

General Formulas and Concepts:

Algebra I

The x-intercept is the x value when y = 0. Another way to reword that is when the graph crosses the x-axis. The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.

Step-by-step explanation:

According to the line on the graph, it passes the x-axis at x = -40 and it passes the y-axis at y = 15.

Therefore, our x-int is (-40, 0) and our y-int is (0, 15)

Work out the 3rd term of the sequence 3n +5.
a. 11
b. 14
c. 17

Answers

The third term:n=3 . So “3n+5” means 3*3+5=9+5=14
So the answer is 14.

ABC=DBC, AB=10, mA=44

mD = ?

Answers

Answer: 44

Step-by-step explanation:

Since ABC=DBC. that means A=D so that would mean 44=D since A=44 and they’re both congruent (equal)

Answer:

its 44

Step-by-step explanation:

find value for x please and thank you

Answers

Answer:

x = - 3

Step-by-step explanation:

Given

3(x - 6) + 6 = 5x - 6 ← distribute and simplify left side

3x - 18 + 6 = 5x - 6

3x - 12 = 5x - 6 ( subtract 5x from both sides )

- 2x - 12 = - 6 ( add 12 to both sides )

- 2x = 6 ( divide both sides by - 2 )

x = - 3

**NEED THIS WITHIN 5 MINS** Stan’s employer pays for 45% of his annual health insurance premium of $4,567.00. Stan pays the remaining balance by having it deducted in equal amounts from his 26 paychecks throughout the calendar year. How much will Stan have deducted from each paycheck?

Answers

Answer:

$88.3

Step-by-step explanation:

Here 42% of annual health premium($5450)=*5450

=$2289

This amount is being paid by the company means it is deducted amount in one year.

One year has 26 paychecks so above amount divided by 26 is rebate amount in each paycheck.

Deducted amount=

=$88.30

ASAP PLZ HELP WILL MARK AS BRAINLSIT

Answers

mark me brainlist first queen

Answer:

Step-by-step explanation:

18/2=9

log(x - 3) + log(x + 4) – log x = log 5

Answers

Please find attached photograph for your answer.

Please help!!!! ASAP

Answers

Answer:

Step-by-step explanation:

I just put the first one in desmos to see if it was the same

onsider the line y=-5+6.
find the equation of the line perpendicular to this line and passes through the point (-2,-3)
find the equation of the is parallel to this line and passes through the point (-2,-3)

Answers

Answer:

The equation of the line perpendicular to the given line is

[tex]y=\frac 1 5 x + \frac {-13}{5}[/tex].

The equation of the line perpendicular to the given line is

[tex]y=-5 x -13[/tex].

Step-by-step explanation:

The given line is y=-5x+6

The slope of the given line, [tex]m_1=-5[/tex]

Let [tex]y= m_2 x + C_2[/tex] be the slope of the line perpendicular to y=-5x+6,

where [tex]C_2[/tex] is constant.

As multiplication of slopes of two perpendicular lines equal to -1, so

[tex]m_1m_2=-1 \\\\\Rightarrow -5\times m_2= -1 \\\\\Rightarrow m_2= \frac {-1}{-5}= \frac 1 5[/tex]

So, the equation of the line perpendicular to the given line is

[tex]y=\frac 1 5 x +C_2[/tex] which passes through the point (-2,-3), so

[tex]-3=\frac 1 5 (-2) +C_2 \\\\\Rightarrow C_2 = -3 +\frac 2 5= \frac {-13}{5}[/tex]

Hence, the equation of the line perpendicular to the given line is

[tex]y=\frac 1 5 x + \frac {-13}{5}[/tex].

Now, let [tex]y=m_3 x +C_3[/tex] be the equation of the parallel line to y=-5x+6.

As the slopes of two parallel lines are the same, so [tex]m_3=-5[/tex].

So, the equation of the parallel line becomes

[tex]y=-5 x +C_3[/tex] which passes through the point (-2,-3), so

[tex]-3=-5 (-2) +C_3 \\\\\Rightarrow C_2 = -3 - 10 = -13[/tex]

Hence, the equation of the line perpendicular to the given line is

[tex]y=-5 x -13[/tex].

After a discount of 40%, the sale price of a ridepass at a fun park is $30 what was the orginal price

Answers

30 divided by 0.40 = 75
The original price was $75

on khan my progress wont go up and i need 50% and i have 44 help please

Answers

Answer:

watch 2 more videos

Step-by-step explanation:

Roy weighs 150 pounds and plans to lose 1.5 pounds a week. Luis weighs 200 pounds and plans to lose 2.5 pounds a week. Which equation shows when Roy and Luis will weigh the same? Use x for the number of weeks

150 −1.5x=200−2.5x150 −1.5x=200−2.5x

150 +1.5x=200−2.5x150 +1.5x=200−2.5x

150 +1.5x=200+2.5x150 +1.5x=200+2.5x

Answers

Answer:

Step-by-step explanation:

If im wrong im sorry bc the other ones are addition and they said looseing weight i jus picked da 1 dat made sense to meh.

There are 17 members in a travel group. The Venn diagram below shows members that have been to the United
States, Australia, both, or neither
Complete the following two-way frequency table.
Have been to the United States Have not been to the United States
Have been to Australia
Have not been to Australia
Australia
United States
5
2
6

Answers

Answer: 2 . 5

6 4

Step-by-step explanation:

The solution is

The equation of sets is given by n(A∪B) = n(A) + n(B) - n(A⋂B)

What is Set Theory Formula?

The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.

Given data ,

Let the equation be represented as A

The value of A is

n(A∪B) = n(A) + n(B) - n(A⋂B)

So , from the given Venn diagram , we get

The number of people who have been to the United States and Australia is given by A = 2

The number of people who have been to Australia and not been to United States is B = 5

The number of people who have not been to Australia but been to United States is C = 6

The number of people who have not been to Australia and not been to United States is D = 4

Hence , the equation is solved by sets

To learn more about sets click :

https://brainly.com/question/26397859

#SPJ2

Please help thanks !!!!

Answers

Answer:

x = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

6(x - 1) = -72

Step 2: Solve for x

Divide 6 on both sides: x - 1 = -12Add 1 to both sides: x = -11

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 6(-11 - 1) = -72Subtract: 6(-12) = -72Multiply: -72 = -72

Here we see that -72 does indeed equal -72.

∴ x = -11 is a solution to the equation.

Answer:

x = - 11

Step-by-step explanation:

Given

6(x - 1) = - 72 ← divide both sides by 6

x - 1 = - 12 ( add 1 to both sides )

x = - 11

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If triangle ABC is similar to triangle DEF, what is the value of x? 12 cm 36 cm 15 cm 5 cm

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If triangle ABC is similar to triangle DEF, what is the value of x?

12 cm

36 cm

15 cm

5 cm