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
Arisa [49]
3 years ago
5

Find the measure of angle E

Mathematics
1 answer:
Bad White [126]3 years ago
5 0

Answer:

E = 76°

Step-by-step explanation:

Exterior angle B = 116°

So ABC = 180° - 116°

= 64°

In triangle ABC , AC = BC ( given )

So angle BAC = angle ABC = 64° ( Opposite angle of two same sides of a triangle are equal )

According to Angle Sum Property of a Triangle ,

BAC + ABC + ACB = 180°

=> ACB + 64° + 64° = 180°

=> ACB = 180° - 128°

= 52°

Also , angle ACB = angle ECD = 52° ( Vertical Opposite Angles are equal )

In triangle ECD ,

EC = ED ( given )

So, angle ECD = angle EDC = 52° ( Opposite angle of two same sides of a triangle are equal )

According to Angle Sum Property of a Triangle ,

ECD + EDC + CED = 180°

=> 52° + 52° + CED = 180°

=> CED = 180° - 104°

= 76°

You might be interested in
A helicopter hovers at 1000 feet in the air
Westkost [7]

Answer:

That’s a good helicopter

Step-by-step explanation:

6 0
3 years ago
Small sample: During an economic downturn, companies were sampled and asked whether they were planning to increase their workfor
leva [86]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The confidence level interval is  0.016 \le C \le 0.404

Step-by-step explanation:

The sample size is  n =  20

The number planning to increase workforce is  x =  3

 The confidence level is  c  = 98%

The value of proportion for a plus 4 method is

      p = \frac{x+2}{n+4}

substituting values

      p = \frac{3+2}{20+4}

       p =0.21

The z-critical value at confidence level of 98% is

     z_{c}=z_{0.98} =  2.33

This values is obtained from the standard normal table

The confidence level interval can be mathematically represented as

      C =p \ \pm z_{c} * \sqrt{\frac{p(1-p)}{n+4} }

substituting values

      C = 0.21 \pm 2.33 * \sqrt{\frac{0.21(1- 0.21)}{20 +4} }

       C = 0.21 \pm 0.194

=>   0.016 \le C \le 0.404

7 0
3 years ago
Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machin
aev [14]

Answer:

The answer to your question is letter C

Step-by-step explanation:

This is a problem with the inverse rule of three because we expect that more machines can complete the same work in fewer days.

                              6 machines ------------------  12 days

                              x machines -------------------  8 days

               x machines = \frac{(8 days)(6 machines)}{12 days}

                            x machines = \frac{48 machines}{12}

                                   x = 4 machines

3 0
3 years ago
Right answer gets brainlist !!
slava [35]

Answer: 7,833

Step-by-step explanation:

8 0
3 years ago
Write how many thousands in 655,000
Ostrovityanka [42]
Five thousands
    
    hope this helped!
3 0
3 years ago
Read 2 more answers
Other questions:
  • I reeaalllly need help ASAP PLS
    12·1 answer
  • At the start of the day there was £129.75 in the till
    13·1 answer
  • Multiply each polynomial <br> (x - 7)(x - 4)
    6·1 answer
  • Graph the system. Tell whether the system has one solution, no solution, or infinitely many solutions. y = –2x + 1 y = –2x – 3
    5·1 answer
  • Prove that if -5(x+4)=70, then x=-18
    8·1 answer
  • Judy needs a mean (average) score of 86 on four tests to earn a midterm grade of B. If the mean of her scores for the first thre
    15·1 answer
  • Find the limit of the geometric series.<br> 1+1/2+1/4+1/8 a. 1 b.0 c. 1/2 d. 2
    8·1 answer
  • According to the video, this career offers a good opportunity to do what?
    14·1 answer
  • 6 m
    7·2 answers
  • Which fractions 1/3, 5/6, 3/4, 3/8 are closer to 0 than to 1?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!