Given triangle ABC is similar to triangle DEF , calculate the value of BC. Picture is below

Given Triangle ABC Is Similar To Triangle DEF , Calculate The Value Of BC. Picture Is Below

Answers

Answer 1

Hello! :)

Answer:

[tex]\huge\boxed{BC = 6.4 }[/tex]

Given ΔABC ~ ΔDEF, we can set up a proportion to solve for BC, where:

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

Let BC = x:

[tex]\frac{8}{15} = \frac{x}{12}[/tex]

Cross multiply:

[tex]8 * 12 = 15 * x[/tex]

[tex]96 = 15x[/tex]

[tex]x = 6.4[/tex]

Therefore, BC = 6.4 units.

Hope this helped you!


Related Questions

find the value of x if the measure of angle 2 is 12x+4​

Answers

Answer:

30

Step-by-step explanation:

From angle chasing, we know that the angle 2 is 180-56=124. So 12x+4=124, which means 12x=120 so x=30

Which expression has been simplified INCORRECTLY? * 1 point - (-9) = 9 - (+9) = -9 + (-9) = -9 + (+9) = -9

Answers

Answer:

+ (+9) = -9  

Step-by-step explanation:

- (-9) = 9 A negative times a negative is a positive

- (+9) = -9   A negative times a positive is a negative

+ (-9) = -9  A positive times a negative is a negative

+ (+9) = -9 A positive time a positive is a positive

Find an equation for the line of best fit for the table below.

Answers

Answer:

[tex]y = 0.4x + 3.8[/tex]

A rectangle has a length of 8ft and a width of 9ft. What is the area of the rectangle, in ft^2?​

Answers

Answer:

72ft

Step-by-step explanation:

A=wl=9·8=72ft²

Write an
equivalent expression by distributing the
""
"sign outside the parentheses:
-(-9.1d - 6f +9.1)
Answer:
Submit Answer

Answers

Answer:

[tex] - ( - 9d - 6f + 9.1) \\ = 9d + 6f - 9.1 \\ thank \: you[/tex]

find the following trigonometric values cos(240) and sin(240)

Answers

Answer:

cos(240) = -1/2

sin(240) = -√3/2

Which value of x satisfies the equation

Answers

Answer:

9

Step-by-step explanation:

5/3 (x + 1/2) = 95/6

5/3 × 1/2 = 5/6

5/3x + 5/6 = 96/6

         -5/6     -5/6

---------------------------

5/3x = 90/6

5/3x = 15

------    ----

5/3      5/3

x  = 9

percent increase formula

Answers

A = old value

B = new value

C = percent change

C = [ (B-A)/A ] * 100%

---------------------

Example:

Lets say we start at A = 10 and increase to B = 15. The percent change would be...

C = [ (B-A)/A ] * 100%

C = [ (15 - 10)/10] * 100%

C = (5/10) * 100%

C = 0.5 * 100%

C = 50%

The positive C value means we have a percent increase. Going from 10 to 15 is a 50% increase.

Find the value of a.

Answers

Answer: See below

Explanation:

6a + 11 = 2a + 83
6a - 2a = 83 - 11
4a = 72
a = 72/4
a = 18
Answer:

a = 18°

Step-by-step explanation:

we have opposite angles =>

=> 6a + 11 = 2a + 83

6a - 2a = 83 - 11

4a = 72

a = 72 : 4

a = 18°

What are the factors of the quadratic function represented by this graph?


A. 

(x − 1) and (x − 5)

B. 

(x + 1) and (x + 5)

C. 

(x − 1) and (x + 5)

D. 

(x + 1) and (x − 5)

Answers

The factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.

What is quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^2 + bx + c = 0,[/tex]

Here in the graph we can see that the x coordinate cut by the curve of the quadratic equation is in the negative side of x at -1 and -5.

So the factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.

To know more about quadratic equation follow

https://brainly.com/question/1214333

#SPJ2

Answer:

Check Screenshot

Step-by-step explanation:

AB =
Round your answer to the nearest hundredth.
B
?
2
25°
С
A

Answers

Answer:

? = 4.73

Step-by-step explanation:

Since this is a right triangle we can use trig functions

sin theta = opp / hyp

sin 25 = 2 / ?

? sin 25 = 2

? = 2 / sin 25

? =4.732403166

To the nearest hundredth

? = 4.73

Find the number of five-digit numbers which are not divisible by 5?

Answers

Answer:

72000

Step-by-step explanation:

First five digit number is 10000

And the last five digit number is 99999.

There are 99999-10000+1 five digits in all.

That simplifies to 89999+1=90000.

Any number whose units digit is 5 or 0 is divisble by 5.

10000 is the first five digit number that is divisble by 5.

10000+5k where k is a positive integer can be used to find any after.

The last five digit number divisible by 5 is 99995. What is k then?

10000+5k=99995

5k=89995

k=89995/5

k=17999

How many 5 digit numbers are divisble by 5?

So the first one happens at k=0 and the last one happens at k=17999.

How many numbers is that? 17999+1=18000.

So the number of 5 digit numbers that aren't divisble by 5 is 90000-18000=72000

A store sold 50 copies of a magazine for $150. Each copy of the magazine costs the same. Which equation and set of ordered pairs best represents the price, in dollars, of a certain number of copies of the magazine? (1 point) Select one: a. Y = 3x; (1, 3), (2, 6), (3, 9) b. Y = 4x; (1, 4), (2, 8), (3, 12) c. Y = 5x; (1, 5), (2, 10), (3, 15) d. Y = 6x; (1, 6), (2, 12), (3, 18) Plz answer quick!

Answers

Answer:

Option a. Y=3x

Step-by-step explanation:

Let us use cross multiplication method.

Let the cost of 1 magazine be x.

No. of copies                               Cost

1)50                                                $150

2)1                                                      x

50x=150 x 1               equation(1)

x=150/50

x=$3

Now see equation (1),

150=50x

150=50 x 3

Here let us represent the cost as y and no. of copies as x.

Y=3x

Therefore, a. Y=3x is the right answer.

Thank you!

                                             

the the diameter of a circular Garden is 140 metre . On its outside there is a road of 7 metre wide find out the outer circumference of the road ​

Answers

Answer:

484 meters

Step-by-step explanation:

diameter of a circular Garden = 140 metre

we know diameter = 2*radius

140 = 2*radius

radius = 140/2 = 70 meter

thus, radius of garden is 70 meter

Given that

On its outside there is a road of 7 metre wide

Thus, radius of garden along-with road will increase by 7 meters

Total radius of garden and road = 70 meter + 7 meter = 77 meter

 outer circumference of the road can be calculated using radius 77 meter.

we know that circumference = [tex]2\pi r[/tex]

we will use value of [tex]\pi = 22/7[/tex]

Thus, outer circumference of the road ​ with radius 77 m

= [tex]2\pi r \\=>2*22/7 *77\\=> 44*11 = 484[/tex]

Thus,

The outer circumference of the road ​is 484 meters.

The sqrt(98) falls between what two numbers on a number line?

Answers

Answer:

9 and 10

Step-by-step explanation:

9²=81

10²=100

98 lies between 81 and 100

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The interquartile range is determined by the formula _____________.
A. Third quartile – First quartile
B. Third quartile + first quartile
C. First quartile – third quartile
D. Maximum – minimum

Answers

Answer:

A-Third quartile-First quartile

Step-by-step explanation:

The interquartile range is found by taking the third quartile minus the first quartile. It is also found by taking the right side of the box in a box and whisker plot and subtracting the left side of the box in a box and whisker plot

Identify a transformation of the function f(x) = (x by observing the equation
of the function g(x) = VX- 19.

Answers

Answer:

1st option

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here g(x) = [tex]\sqrt{x}[/tex] - 19

The base graph f(x) has been shifted down 19 units

___________probabilities
are always the same given
the same total number of
trials.
A. Calculated
B. Experimental
C. Determined
D. Theoretical

Answers

Answer:

Determined

Step-by-step explanation:

Determined

An arc subtends an angle of 72 degrees at the centre of the circle find the length of the arc of the radius of the circle is 3.5cm take pie as 22 on 7

Answers

Answer:

4.4 cm

Step-by-step explanation:

Arc length = 2*pi*r*(central angle) / 360

Arc length = 2*(22/7)*3.5*(72/360)=4.4 cm

I need some help plsssssssssssss

Answers

Answer:

See below.

Step-by-step explanation:

p: Atlanta is the capital of Georgia.

q: There are 4 feet in a yard.

p is true; q is false

11. p V q:

Atlanta is the capital of Georgia, or there are 4 feet in a yard.

Truth value: true since one of the statements is true.

12. p ▲ q:

Atlanta is the capital of Georgia, and there are 4 feet in a yard.

Truth value: false since not both statements are true.

13. p ▲ ~q:

Atlanta is the capital of Georgia, and there are not 4 feet in a yard.

Truth value: true since both of the statements are true.

11. ~p V q:

Atlanta is not the capital of Georgia, or there are 4 feet in a yard.

Truth value: false since both statements are false.

Answer:

Step-by-step explanation:

Please help me!! I'll give brainliest btw

Answers

Answer:

e. cannot be determined

Step-by-step explanation:

m = 1/2( x + x + 10) = 1/2(2x + 10) = x + 5

n = 1/2(x² + x + 10) =

m/n = (x+5)/(1/2(x² + x + 10))

Not enough information

Question 6 of 10
Which of the following graphs represents the equation y- 4 = 3(x - 1)?

Answers

Answer:

Graph D

Step-by-step explanation:

The following equation: y - 4 = 3 (x - 1) is written in Point-Slope Form.

In Slope-Intercept Form, it would look like this: y = mx + b where m = slope and b = y-intercept.
*****************************************************Point-Slope Form: y - y1 = m (x - x1)

Slope-Intercept Form: y = mx + b
*****************************************************
To graph the equation we’ll need it to be in Slope-Intercept Form.

y-intercept = 1 because when x reaches 0, y = 1

The first two points are: (0, 1) (1, 4) as we can see that from (1, 4) to (0, 1) or (0, 1) to (1, 4), the slope is 3

Therefore, the Slope-intercept form: y = 3x + 1

The graph that best represents the following equation is Graph D because it contains the point (1, 4)



please help :) Respecting and understanding different opinions promotes fill in the blank . answer choices : (value/tolerance)

Answers

Answer:

Tolerance

Step-by-step explanation:

Value in this situation doesn't make sense and you can search up the definition of tolerance on the web to verify.

Also, this doesn't seem like a math related question so you should have answered this in English or something.  

Find the commission on a sale of $600 with a 5% commission rate.

Answers

Answer: $30

Step-by-step explanation:

Answer:

$30

Step-by-step explanation:

10% of 600 = 60

5% of 600 = 30

URGENT HELP PLS AND THANK U

Answers

Answer: a= 1

Step-by-step explanation:

a * b = b

Divide by “b” on both sides

a= b/b

“b/b” is equal to 1

a=1

Hope that helps

Lmk if you need a better explanation.

1 because anything times 1 will equal it self so b times 1 will equal 1 there the answer is one. Hope this helps!

f(x) = x2. What is g(x)?

Answers

Answer:

g(x) = [tex](\frac{x}{3})^2[/tex] which is A.

Step-by-step explanation:

I did this before. You have to trust me.

What is the value of x?

Answers

Answer:

is it 15.8

Step-by-step explanation:

Mark all the relative minimum points in the graph.

Please help I don't understand what to do.​

Answers

Answer:

Step-by-step explanation:

The thing to remember is that absolute can be relative but relative can't be absolute. In other words, absolute min is the very lowest point on the graph and there's usually only one (unless there are 2 absolute mins that have the same y value) while relative mins can occur at several points on a graph. That means that the only relative min point on the graph occurs at (-3, 4); the absolute min occurs at (5, -6).

I need help with all the answers to 1 and 2

Answers

1a. 128

1b. 81

1c. 64

1d. 25

1e. 343

1f. 100000

1g. 64

1h. 0

1i. 13

1j. 1

2a. 243

2b. 64

2c. 36

2d. 625

2e. 1331

2f. 10000000

2g. 81

2h. 0

2i. 17

2j. 1

Andrés, in his shop, stores the buttons in bags. In box A, he has bags of 24 buttons each with no buttons left. In box B, he has bags of 20 buttons with no buttons left. The number of buttons that are in box A is equal to the number of buttons in box B. What is the minimum number of buttons in each box?

Answers

Answer:

120 buttons in each box

Step-by-step explanation:

What you are looking for is the least common multiple. List out what the multiples of each number are and when ever you find two numbers that match you have your answer.

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