ABC ≃DEF. Find the lengths of the given sides

ABC DEF. Find The Lengths Of The Given Sides

Answers

Answer 1

Answer:

BC = 8 and EF = 8.

Step-by-step explanation:

Since triangle ABC and DEF are congruent to each other, BC corresponds with EF (as determined by the triangle names).

Set BC and EF equal to each other.

x + 6 = 3x + 2

Subtract x from both sides.

6 = 2x + 2

Subtract 2 from both sides.

4 = 2x.

Divide 2 on both sides.

x = 2.

Substitute 2 for x.

BC = 2 + 6

BC = 8

Since we already know that EF is congruent to BC, EF is also 8.

EC = 3(2) + 2

EC = 6 + 2

EC = 8


Related Questions

Which expression is equivalent to 4 (5X + 3y)

Answers

Answer:

20x + 12y

Step-by-step explanation:

=> 4(5x + 3y)

=> 20x + 12y

Since we can't simplify this further, 20x + 12y is out answer.

Hoped this helped.

whoever answers ets brainliest, 5 stars, and a thanks. pls help asap!

evaluate: (5/6 + 2/3) - (3/4 + 1/12)

answer as a fraction in simplest form

Answers

Given info:- Evaluate: [(5/6 + 2/3) - (3/4 + 1/12)] and find the Evaluated form = ?

Solution:-

Given fractional expression: [(5/6 + 2/3) - (3/4 + 1/12)]

Take the LCM of denominator 3 and 6 is 6.

Again take the LCM of denominator 4 and 12 is 12.

so,

⟼ [(5+4)/6 - (9+1)/12]

⟼ [9/6 - 10/12]

Now, take the LCM of the denominator 9 and 12 is 36.

⟼ [(54-30)/36]

Now, reduce the fraction by extracting and cancaling out with 2.

⟼ [24÷2/36÷2]

⟼ 12/18

⟼ 6÷3/9÷3

⟼ 2/3

Answer

Therefore, Evaluated form is 2/3.

Read more:

Similar questions

Question 1 Evaluate (5 + 2)2 − 40 + 3 6 11 12 34 -------------------------------------------------------------------------------- Question 2 Evaluate 7 + 52 • 4...

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Will the answer to the subtraction problem below be odd or even?
5291 - 4070 = ?

Answers

Answer:

1221

Step-by-step explanation:

here you go ...........

even because the answer is 1221

In which quadrant does the point (13 , -6) lie?
A.
Quadrant III
B.
Quadrant I
C.
Quadrant IV
D.
Quadrant II

Answers

Answer:

C

Step-by-step explanation:

i hope you'll find these useful......

Answer:

C, quadrant IV

Step-by-step explanation:

The X (13) is positive meaning the point is on the right side of the graph, and Y (-6) is negative so it's below the x axis

Estimate the total of 56.213, 7.983, and 0.344 by rounding each value to the nearest hundredth

Answers

Answer:

64.53

Step-by-step explanation:

56.213 rounds to 56.21

7.983 rounds to 7.98

0.344 rounds to 0.34

Next you do 56.21 + 7.98 + 0.34 = 64.53

All the numbers after rounding each value to the nearest hundredth are 56.21, 7.98, and 0.34.

When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Here, the question said the nearest hundredth, so I had to look at the value in the thousandth place.

Here the numbers are,

56.213

Since the value in the thousandth place is 3 which is less than 5.

Hence round the number down.

56.21

7.983

Since the value in the thousandth place is 3 which is less than 5.

Hence round the number down.

7.98

0.344

Since the value in the thousandth place is 4 which is less than 5.

Hence round the number down.

0.34

To learn more about rounding numbers visit:

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Please help!

Find the equation of this line.

Answers

Answer:

y = 1/3x + 2

Step-by-step explanation:

Slope - Intercept Form = y = mx + b

y - intercept = b = 2 (point of intersection of the y-axis)

m = slope

Slope = Change in Y/Change In X

You can see that as the graph goes up by 1, it goes to the right 3, so slope = 1/3

Equation : y = mx + b

Equation : y = 1/3x + 2

-Chetan K

Answer:

Step-by-step explanation:

Equation : y = mx + b

Equation : y = 1/3x + 2


The table shows information about some children.
Age 11
Age 12
Total
Girls
7
a
b
Boys
с
5
8
Total
d
9
e
A pupil is selected at random.
What is the probability of selecting a boy?
Give your answer in its simplest form.

Answers

I wrote this on a document in my previous years in school.

Without graphing, classify the system of equations as either consistent or inconsistent.
−7x+8y=9

21x/8−3y=−6

Answers

How you know if a system is consistent or inconsistent or dependent without graphing:

If a consistent system has a infinite number of solutions, it is dependent. When you graph the equation, both equations represent the same line. If a system has no solution, it is said to be inconsistent. If the graphs of the lines do not intersect, the graphs are parallel and there is no solution.

Hope this helps.

The graph of function f is shown below. Find f(-4)

Answers

Answer:

pls give the correct question the question is not correct

A radio station runs a promotion at an auto show with a money box with 12 $100 tickets, 11 $50 tickets, and 11 $25 tickets. The box contains an additional 20
"dummy" tickets with no value. Three tickets are randomly drawn. Find the probability that exactly two $100 prizes and no other money winners are chosen.

Answers

Answer:

I wanna have fun sike lol

Step-by-step explanation:

The GDP per capita of ten arab countries is given in US Dollars. Find the median: 22865, 37749, 3046, 5738, 69687, 3980, 29266, 3345, 17791, 1249 (1 Point 12057 O None of these 0 11764.5 O 17791​

Answers

Answer:

11764.5

Step-by-step explanation:

Given numbers:

22865, 37749, 3046, 5738, 69687, 3980, 29266, 3345, 17791, 1249

Put the numbers in ascending order:

1249, 3046, 3345, 3980, 5738, 17791, 22865, 29266, 37749, 69687

Since the set is even, the median is the average of the middle numbers:

(5738 + 17791)/2 = 11764.5

Describe a real life example of any one of Newton's Laws. It cannot be an example already listed in this portfolio. Make sure you're adequately describing your example and how it represents the law(s). (4-5 sentences)

Answers

Newton's first law of motion states that; An object continues to be in its state of rest or uniform motion unless acted upon by an external force in which case, it acts otherwise.

An example of this law is an orange placed on a table.

In essence, the orange continues in its state of rest unless acted upon by a force of push or otherwise by an individual or perhaps wind as the case may be.

Read. more;

https://brainly.com/question/10454047

what is the equation of the line in the slope-intercept? write your answer in simplest form.​

Answers

Answer:

y=-6x

Step-by-step explanation:

Slope intercept form is y=mx+b where b is the y intercept and m is the slope. In this particular example, the y intercept is at (0,0), the origin, so b=0. y=mx+0 or just y=mx. Now, to determine the slope, we must look at the graph. It appears the graph intersects the point (-10, 60) as well as the point (0,0). Other than just calculating it quickly in your head, the way to get slope from that is y1-y2/x1-x2. Setting that up, 60-0/-10-0, which is 60/-10, which is equal to -6. Put that into the equation and you get y=-6x

The graph shows that the solution to 2 = 0.5^x is X = -1 What is the solution to 2 = 0.5^x - 4
Answer in Complete Sentences

Answers

Step-by-step explanation:

2 = 0.5^x - 4 is the same as

6 = 0.5^x

x is the logarithm of 6 to the base of 0.5.

which is the same as

log(6)/log(0.5) = -2.584962501...

cuanto es 3/5 menos 1/2

Answers

Answer:

1/10

Step-by-step explanation:

(3/5) - (1/2)

3/5 = 3*2/ 5*2 = 6/10

1/2 = 1*5/ 2*5 = 5/10

(6/10) - (5/10)

= (6-5) / 10

= 1/10

the answer to your question is 1/10

3 bombas de agua llenan una piscina en 10 días trabajando 5 horas diarias.

Si hay 5 bombas de agua, ¿cuántos días demoran en llenar la misma piscina, si trabajan 8 horas diarias?

Answers

5 bombas deben trabajar durante 4 dias para llenar la piscina.

¿cuántos días demoran en llenar la misma piscina, si trabajan 8 horas diarias?

Cada bomba trabaja a un rate (razon de trabajo) R.

Sabemos que 3 bombas, trabajando 5 horas diarias por 10 días (un total de 50 horas), llena una piscina, entonces:

(3R)*50 horas= 1 piscina.

R = (1 piscina)/(150 horas).

Es decir, una sola bomba tarda 150 horas en llenar una piscina.

En el caso de que 5 bombas trabajen, tenemos que para llenar una piscina tienen que trabajar un tiempo T.

5*((1 piscina)/(150 horas))*T = 1 piscina.

(1 piscina)/(30 horas)

Resolviendo para T, obtenemos:

T = 1 piscina*(30 horas)/(1 piscina) = 30 horas.

Y sabemos que trabajan 8 horas diarias, es decir, las bombas deben trabajar durante:

30/8 = 3.75 ≈ 4 días.

5 bombas deben trabajar durante 4 dias para llenar la piscina.

Sí quieres aprender más sobre razones de trabajo.

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what's
- 5 3/4 + (-4 5/6) in simplest form​

Answers

Answer:

-(127/12)

Step-by-step explanation:

-23/4 -29/6 = -254/24

-254/24 = -127/12

Order from least to greatest -0.4, -1/5, and -0.65

Answers

least to greatest:
-0.65, -0.4, -1/5.

Tell me if want step by step!!

Hope this helped. :(

Need help! attachment below. will give brainlist

Answers

Answer:

In the graph locate the point (3,0) and draw a line parrallel to Y-axis passing through (3,0) .

Then your line will cut the graph of f(x) at some point, that point's y-coordinate will be your value of f(3).

Step-by-step explanation:

Hope it helps!

Find the point on the line y=x that is closest to the point (-4,8)

Answers

Answer:

(2,2)

Step-by-step explanation:

please help me mathematics = x²+2x-24=0​

Answers

Answer:

x=4

or

x=-6

Step-by-step explanation:

did you know u can solve that equation on your calculator without much struggle?

Answer:

Factors = > (x - 4) (x + 6)Value = > x = 4, -6

Step-by-step explanation:

= > x^2 + 2x - 24

= > x^2 + 6x - 4x - 24

= > x(x + 6) - 4(x + 6)

= > (x - 4) (x + 6)...ans

x = -6 , 4

Hope it helps you!!

The ratio of the number of hamsters to the number of mice in a pet store is 3 to 2. How many hamsters are there, if there are 12 mice?

Answers

Answer:

18

Step-by-step explanation:

you can do 12/2 to get 6 (the scale factor) and then multiply 3 by 6 and get 18

Eddie's overtime is figured on a 40-
hour work week. Last week he
worked the following hours:
Monday = 9.7
Tuesday = 8.3
Wednesday = 8
Thursday = 9.1
Friday = 8.6
=
He is paid time and a half for
overtime and makes $14.40 for
regular hours. What is Eddie's gross
pay?

Answers

Answer:

597.6 Dollars

Step-by-step explanation:

Answer:

$655.92

Step-by-step explanation:

Total number of hours worked:

9.7 + 8.3 + 8 + 9.1 + 8.6 = 43.7

Overtime hours:

43.7 - 40 = 3.7

Gross payment:

40*14.4 + 3.7*14.4*1.5 = 655.92

what is 282.74 in terms of pi

Answers

Answer:

90π

Step-by-step explanation:

282.74 / π

282.74 / 3.14159 = 90

282.74 = 90π

Write the product as a power.
18 x 18 x 18 x 18 =

Answers

Answer:

[tex]18^{4}[/tex]

Step-by-step explanation:

You multiply it by itself 4 times, therefore being 18 to the power of 4

Answer:

[tex]18^{4}[/tex]

Step-by-step explanation:

A power is simply how many times a number is multiplied by itself. Since the question is 18 multiplied by itself four times (count the number of 18s), the power is 4.

I need help on this please help

Answers

Answer:

4

Step-by-step explanation:

[tex]\sqrt[3]{64}[/tex] = [tex]\sqrt[3]{4*4*4}[/tex]=4

The answer is 4 because if you multiply 4 three time you will get 64

Step by step
4x4=16
16x4=64

Edgar Elementary
School is having a reading contest. Six
fourth-grade classes each set a goal to read
1,266 pages. Six fifth-grade classes each
set a goal of 2,212 pages. How many more
pages does each fifth-grade class have to
read than each fourth-grade class?

Answers

Answer:3333

Step-by-step explanation:

Multiplications that give 48 as a result

Answers

Answer:

1 ×48=48

2×24=48

3×16=48

4×12=48

6×8= 48

Which expression is the additive inverse of -5/8?

A) 8/5
B) 5/8
C) -5/8
D) -8/5

Answers

Answer:

b

Step-by-step explanation:

You supervise the feeding of dogs at a kennel you use an average of 10 1/2 pounds of dog food each day.at the rate how many pounds of dog food will you use In 7 days

Answers

Answer:

73.5 pounds of dog food in 7 days

Step-by-step explanation:

10 1/2 x 7

10x 7 =70

1/2 x 7 = 3.5

70 + 3.5 =73.5 pounds of dog food in 7 days

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