1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ArbitrLikvidat [17]
1 year ago
10

Find m∠DEA if m∠DEA= x + 30, m∠AEF= x + 132, and m∠DEF= 146 degrees

Mathematics
1 answer:
nevsk [136]1 year ago
6 0

The numerical sum of the degree measures of m ∠DEA and m ∠AEF and  m ∠DEF is 360°; The numerical measures of the angles is,

m ∠DEA = 56°

m ∠AEF = 158°

m ∠DEF = 146°

Based on the given data,

m ∠DEA= x + 30,

m ∠AEF= x + 132, and

m ∠DEF= 146 degrees

If the sum of two linear angles is 360° then, they are known as supplementary angles.

∠A + ∠B + ∠C = 360°, (∠A and ∠B and ∠C are linear angles.)

So,

We can write,

m ∠AEF + m ∠DEA + m ∠DEF = 360°

( x + 132) + (x + 30) + 146  = 360°

x + 30 + x + 132 + 146  = 360°

2x + 308 = 360°

2x = 360° - 308

x = 52/2

x =26

Now, we will substitute the value of x = 26° in the ∠DEA and ∠AEF, hence we get:

m ∠DEA = x + 30

m ∠DEA = 26 + 30

m ∠DEA = 56 degrees

Also,

m ∠AEF = x + 132

m ∠AEF = 26 + 132

m ∠AEF = 158

Hence,

m ∠DEA + m ∠AEF + m ∠DEF = 360°

56 + 158 + 146 = 360°

360° = 360°

Therefore,

Therefore, the numerical sum of the degree measures of m ∠DEA and m ∠AEF and  m ∠DEF is 360°; The numerical measures of the angles is,

m ∠DEA = 56°

m ∠AEF = 158°

m ∠DEF = 146°

To learn more about information visit Supplementary angles :

brainly.com/question/17550923

#SPJ1

You might be interested in
Kylie can afford a $1310-per-month house loan payment. If she is being
Lesechka [4]

Answer:

The amount which she borrow as house loan is $ 48514.56

Step-by-step explanation:

Given as :

The house loan per month afford by Kylie = $1310

The period of loan = 25 Years

The annual rate compounded monthly = 8.4%

Principal  = $ P

∵ The per month loan afford amount = $1310

So, The amount afford in 25 years = $1310 × 25 × 12

Or, The amount afford in 25 years = $393,000

<u>Now, from compounded method</u> :

Amount = Principal × (1+\frac{Rate}{12\times 100})^{12\times Time}

Or, $393,000 = $ P × (1+\frac{8.4}{12\times 100})^{12\times 25}

Or, $393,000 = $ P × (1.007)^{300}

Or, $393,000 = $ P × \frac{393,000}{8.10066}

∴   P = $ 48514.56

Hence The amount which she borrow as house loan is $ 48514.56  Answer

8 0
3 years ago
Students at Nelson middle school are planning a end of a year event of the 150 students in the school 100 would like an athletic
aleksley [76]

Answer:450

Step-by-step explanation: If you add 150 to 150 that will give you 300.If you add 300 to 100 that will give you 400.Finally if you add 400 to 50 that will give you 450.

                Your answer is: 450 students

               

4 0
3 years ago
Changes in airport procedures require considerable planning. Arrival rates of aircrft are important factors that muct be taken i
Irina18 [472]

Answer:

a) 0.1558

b) 0.7983

c) 0.1478

Step-by-step explanation:

If we suppose that small aircraft arrive at the airport according to a <em>Poisson process</em> <em>at the rate of 5.5 per hour</em>  and if X is the random variable that measures the number of arrivals in one hour, then the probability of k arrivals in one hour is given by:

\bf P(X=k)=\displaystyle\frac{(5.5)^ke^{-5.5}}{k!}

(a) What is the probability that exactly 4 small aircraft arrive during a 1-hour period?

\bf P(X=4)=\displaystyle\frac{(5.5)^4e^{-5.5}}{4!}=0.1558

(b) What is the probability that at least 4 arrive during a 1-hour period?

\bf P(X\geq4)=1-P(X

(c) If we define a working day as 12 hours, what is the probability that at least 75 small aircraft arrive during a working day?

If we redefine the time interval as 12 hours instead of one hour, then the rate changes from 5.5 per hour to 12*5.5 = 66 per working day, and the pdf is now

\bf P(X=k)=\displaystyle\frac{(66)^ke^{-66}}{k!}

and we want <em>P(X ≥ 75) = 1-P(X<75)</em>. But

\bf P(X

hence

P(X ≥ 75) = 1-0.852 = 0.1478

7 0
3 years ago
Emma is building a wall around her garden. It has take 45 minutes,and she is 75% done what is the told time it will take Emma to
kicyunya [14]
Ok so first we need to write a fraction. 

75 percent/45 mins

then we convert that into a unit rate

1.67 percent/1 min

so, now that we have the unit rate, we know exactly how fast she is moving.

Now, we divide 25 by 1.67 because 25%  is the distance between the completion of the gate and current state of the gate. 

So we get 14.97, which we can safely round up to 15.

It will take her 15 mins more to finish the gate, and it has already taken 45, so 45+15=60

60 MINS TOTAL/ 1 HOUR



8 0
3 years ago
Slope intercept form (1, -4), y=-3x-3
IRINA_888 [86]

Answer:

x = 1/3 and y = -6

Step-by-step explanation:

(x, y) so 1 = x and -4 = y

plug in one at a time.

y = -3 ( 1 ) - 3

y = -3 -3

y = -6

and then,

-4 = -3x -3

add 3 on both sides

-1 = -3x

divide by -3 both sides

1/3 = x

7 0
3 years ago
Other questions:
  • 11) 19, 13, 7, 1...
    14·1 answer
  • If s(x)=x-7 and t(x) =4x^2+3 which expression is equivalent to (t×s)(x)​
    10·1 answer
  • Rewrite the radicand as two factors, one of which is a perfect cube.
    14·2 answers
  • Find the product of 51 and -2.5
    6·2 answers
  • What's 1.5 :- 56<br><img src="https://tex.z-dn.net/?f=%20%5Cdiv%2052" id="TexFormula1" title=" \div 52" alt=" \div 52" align="ab
    12·2 answers
  • Uriel's hiking stick is 3 2/3 feet long, and Nat's is 3 3/8 feet long. Whose walking stick is longer and by how much?
    12·1 answer
  • Mrs. Link's homeroom class wants to win their school's canned food drive competition. There are 24 students in their class. At t
    6·1 answer
  • chris and Michelle are professional divers. During one of their dives, Chris goes 40 meters below the surface of the water, and
    9·1 answer
  • PLEASE HELP!! will mark brainliest!
    6·1 answer
  • The algebraic expression that represents 2 less than 3 of n is:
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!