find the measurement of angle E

Find The Measurement Of Angle E

Answers

Answer 1

Answer:

Measurement of angle E is 55°.

Step-by-step explanation:

By applying triangle sum theorem in ΔACE,

m∠A + m∠E + m∠C = 180°

(6x - 15)° + (4x)° + m∠E = 180°

m∠E = 180° - (10x - 15)

        = (195 -10x)°

Similarly, in ΔBDE,

(5x - 1)° + (4x)° + m∠E = 180°

(9x - 1)° + m∠E = 180°

m∠E = 180 - (9x - 1)

         = (181 - 9x)°

By equating both the measures of angle E,

(195 - 10x) = (181 - 9x)

195 - 181 = 10x - 9x

x = 14

m∠E = (195 - 10x) = 195 - 10(14)

                            = 195 - 140

                             = 55°

Therefore, measurement of angle E is 55°.


Related Questions

Describe the location of the point having the following coordinates.

negative abscissa, positive ordinate

Quadrant I
Quadrant III
Quadrant II
Quadrant IV

Pleaseee help :(

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Answer:

Step-by-step explanation:

If -x,y that would be Quadrant 2

There are 325 seventh graders in 12 classes. Determine the unit rate

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Answer:27

Step27-by-step explanation:

I don’t get it I need help solving this math problem I

Answers

Answer:

Step-by-step explanation:

you know the total angle is 180° from A to D

and you know that ∠BEC is 90°

also you are told that ∠CED is 18°

and that ∠AEB is 4x°

so just put that all together

180=90 + 18 +4x

now solve for X

180-90-18=4x

72=4x

18 = x

so now you know X

now solve ∠AEB

4(18) = 72°

∠AEB= 72°

:)

9.6 x 10^9 as a normal number

Answers

Answer:

9,600,000,000

Step-by-step explanation:

I am not sure it right but I hope it's helpful.

Which expression is equivalent to -3(4-2g)-6?

Answers

Answer:

6g-6 will be the answer

Step-by-step explanation:

[-3(-2g)+(-3)(4)]-6

6g(-12-6)

6g-6

The cafeteria sells, at most 200 meals at day. The daily profit is moderate by p (m)=2.25m-85 where the profits a function of the number of meals sold. If the cafeteria sold 189 meals ,how much profit did they make?

Answers

Answer:340.25

Step-by-step explanation:

Given

Daily profit is given by

[tex]p(m)=2.25m-85[/tex]

If the number of meals sold is 189

Put [tex]m=189[/tex] in profit function

[tex]\Rightarrow p(189)=2.25\times 189-85\\\Rightarrow p(m)=425.25-85=340.25[/tex]

need help with this one 105.6+37.1

Answers

Answer: 142.7

Step-by-step explanation:

If you deposit $300 in an account with a 6% interest rate, how much will be in your account after 1 year? $


If you leave this money in the account, how much will be in your account after 2 years?

Answers

Answer:

336

Step-by-step explanation:

The first year added $18 so just double the lat 2 digits

The amount $300 after 1 year and 2 year become $318 and $337.08 respectively.

It is given that the deposit amount is $300 in an account with a 6% annual interest rate.

It is required to find the money after 1 year and 2 year.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A= P(1+r)^t[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          t = How long the money is deposited or borrowed (in years)

We have P = $300

               r = 6% = 0.06

               t = 1 years

Putting the values in the formula, we get;

[tex]\rm A= 300(1+0.06)^1\\\\\rm A = 300(1.06)\\\\\rm A = \$318[/tex]

After 2 year:

[tex]\rm A= 300(1+0.06)^2\\\\\rm A = 300(1.06)^2\\\\\rm A = \$337.08[/tex]

Thus, the amount $300 after 1 year and after 2 year become $318 and $337.08 respectively.

Learn more about the compound interest here:

brainly.com/question/26457073

Which number is larger? (1 mark)

0.67 or
2/3

Answers

Answer:

0.67

Step-by-step explanation:

2/3= to 0.66 which means 0.67 would be technally larger than 0.66

which fraction are equivalent to 1/8

Answers

Answer :

2/16 or 4/32

Step by Step explanation :

Your Numbers are; 25, 75, 50, 1, 9, 3 and your Target is 386 How do i get to 386 using only these numbers once and I can use Subtraction, Addition, multiplication, ad division.

Answers

Answer:

You must order the operations  in the way that it unfolds in the explanation;:

Step-by-step explanation:

(25 x 9) +75 + 50+ 9 x ( 3 + 1)

When performing the operations we have the following results:

(25 x 9) =225 +75= 300+50 = 350+9 = 359 x (3+1 )

Now we must solve the following: 359 x (4) = 386

If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what
is the equation of the new function?
A. g(x) = 4.2%
B. g(x) = 24
C. g(x) = . 2*
D. g(x) = 2 .4*

Answers

Answer:

A. g(x) = 4.2%

Step-by-step explanation:

If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what

is the equation of the new function?

A. g(x) = 4.2%

B. g(x) = 24

C. g(x) = . 2*

D. g(x) = 2 .4*

im not sure

The vertical stretch of the transformation of the function is g ( x ) = 4 ( 2 )ˣ

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 2ˣ

Now , the vertical stretch of a factor of 4 is given by

The transformed function is g ( x )

g ( x ) = 4 f ( x )

On simplifying , we get

g ( x ) = 4 ( 2 )ˣ

Hence , the transformed function is g ( x ) = 4 ( 2 )ˣ

To learn more about transformation of functions click :

https://brainly.com/question/26896273

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The complete question is attached below :

If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what

is the equation of the new function?

A. g(x) = 4.2%

B. g(x) = 24

C. g(x) = . 2*

D. g(x) = 2 .4*

At a competition 24 of 40 members of a middle school band won a metal. What percentage of the members of the band won a medal

Answers

Answer:

Step-by-step explanation:

24/40=60%

The percentage of the members of the band won a medal is 60%.

Given that, at a competition 24 of 40 members of a middle school band won a metal.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The fraction for 24 of 40 members is

24/40

So, the percentage

= 24/40 ×100

= 60%

Hence, the percentage of the members of the band won a medal is 60%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ5

(GIVING BRAINLIEST!!!!!!!!!)

What is the sum of the lengths of the shortest and longest ski trial?

Answers

Answer: Use a calculator

Step-by-step explanation:

Ti-83


Determine the unknown side of the similar triangle.
A)
2
B)
3
D)
5

Answers

I think it is C so it would be 4
the answer would be c. 4

A circle has a diameter with endpoints at -2 + i and -6 -11i. What is the center of the circle?

Answers

Answer: -4 -5i

Step-by-step explanation:

Edg

Answer:

B

Step-by-step explanation:

Edge2021

Help I will be marking brainliest!!!

A. 102.5°
B. 310°
C. 77.5°
D. 53.5°

Show work, if possible. Thanks❤️

Answers

Answer:

brainliest please

okay so angle O is connected to arc GU. to find angle O you musit find Arc GU

if Arc GO is 48 degrees and arc OU is 107 degrees, then you add those together.

107 +48=155

a circle has a total of 360 degrees

so 360-155= 205

205 is arc GU

205 divided by 2 will give you angle O

O is 102.5 degrees

Step-by-step explanation:

Solve -2/5t = 20
A. t = 8
B. t = -8
C. t = 50
D. t = -50

Answers

you would multiply both sides by 5/-2

5/-2*-2/5t= 5/-2*20
which would then give you an answer of
t=-50

Hiya everyone , Can you guys help me if you want answer one question each . I’m giving brainlist and points

Answers

Answer:

I think its 60x?

Step-by-step explanation:

HELP PLS THIS IS DUE TOMORROW WHICH IS IN 3 HOURS

Answers

Answer:

Is that your answer ☺️☺️☺️

Step-by-step explanation:

The answer for the above question is 5.75

Belinda bought a car one year ago.
The value of this car has decreased by 15% to $14025.
Calculate how much Belinda paid for the car.

Guys please help me with the homework it’s available for me during the day only.

Answers

Answer:

$16,500

Step-by-step explanation:

The computation of the amount that should be paid for the car is shown below:

Since the car would be purchased one year ago

And, the value of the car would be decreased by 15% to $14025

So the amount that should be paid is

= $14025 × 100 ÷ (100 - 0.15)

= $16,500

Guys please, please help!!
Answer properly!!

1. What is the domain? range?

2. Does the relation represent a liner equation? Why?

Answers

9514 1404 393

Answer:

  1. domain and range are all real numbers

  2. the relation is linear

Step-by-step explanation:

When the graph of a function is a straight line, the relation is linear. (That's what linear means.)

A linear relation is of degree 1, so has odd degree. Any odd-degree polynomial function has a domain and range of "all real numbers."

Answer:

1. Domain : all the real numbers

Range = all the real numbers

yes, this relation represents a linear function. (linear functions are always a straight line when graphed.)

graph the new image jkml after a dilation with a scale factor of 1/4 centred at the origin

Answers

Answer:Perform a Dilation of 4 on point A (2, 3) which you can see in the picture below. Multiply the coordinates of the original point (2, 3), called the image, by 4. Image's coordinates = (2 * 4, 3 * 4) to get the coordinates of the image (8, 12).

Step-by-step explanation:

A dog shelter housed 24 puppies last month. This month, 39 puppies are at the shelter. What is the percent of change?

Answers

Answer:

62.5%

Step-by-step explanation:

can i have brainliest

Answer:

62.5%

Step-by-step explanation:

39 - 24 = 15 ÷ 24 = 0.625 x 100 = 62.5%

:)

MY BRAIN LITERALLY ISNT WORKING ANYMORE

Answers

Answer:

Try using a website calculator, or just try and ask a parent guardian for help

Divide
R18000 into
2:3??

Answers

Answer:

3000

Step-by-step explanation:

I hope this answer will help you

Answer:3000 would be the answer.

Step-by-step explanation:

Combine like terms to create an equivalent expression.


Answers

Answer:

1/6a - 1/6

Step-by-step explanation:

Answer:

1/6a-1/6

Step-by-step explanation:

only first two terms are alike

tammy has 5 cookies john took 3 how many cookies does tammy have now​

Answers

2 if Tammy starts out with 5 and then John took 3-5 is 2

Answer:

Tammy has 2 cookies.

Step-by-step explanation:

Subtract 5-3.

8 is what percent of 40

Answers

Answer:

20%

Step-by-step explanation:

[tex]\frac{8}{40}*100=2*10=20\\[/tex]%

Answer:

8 is 20% of 40

A group of friends wants to go to the amusement park. They have no more than $ 100 to spend on parking and admission. Parking is $ 8, and tickets cost $ 23 per person, including tax. Write and solve an inequality which can be used to determine x, the number of people who can go to the amusement park.

Answers

Answer:

Step-by-step explanation:

Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:

8 + 23(x) ≤ 100

8 + 23x ≤ 100

23x ≤ 100 - 8

23x ≤ 92

x ≤ 92/23

x ≤ 4

The number of people that can go to the amusement park will be at most 4

Answer:

560≥19.75x+19.25

Step-by-step explanation:

i just figured

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