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
malfutka [58]
3 years ago
11

PLEASE HELP ASAP Given: m∠DEA=46°, m∠P=14°Find the measurements of arc AD and arc BC.

Mathematics
2 answers:
antoniya [11.8K]3 years ago
8 0

Answer:

The measurement of arc AD is 53°

The measurement of arc BC is 39°

Step-by-step explanation:

Let

x----> the measurement of arc AD

y---> the measurement of arc BC

we know that

The measure of the internal angle is the semi-sum of the arcs comprising it and its opposite

so

m∠DEA=(1/2)[x+y]

substitute the value

46°=(1/2)[x+y]

92°=[x+y] -----> equation A

The measurement of the external angle is the semi-difference of the arcs which comprises

m∠P=(1/2)[x-y]

substitute the value

14°=(1/2)[x-y]

28°=[x-y] -----> equation B

Adds equation A and equation B

92°+14°=2x

x=106°/2=53°

Find the value of y

substitute in the equation A the value of x

92°=[53°+y]

y=92°-53°=39°

Nady [450]3 years ago
7 0

Answer: 32 and 60

Step-by-step explanation:

You might be interested in
Given the information in the diagram below, find the measure of angle N. Use RACE and complete sentences to show how you found t
Sonja [21]

Answer:

m<N = 76°

Step-by-step explanation:

Given:

∆JKL and ∆MNL are isosceles ∆ (isosceles ∆ has 2 equal sides).

m<J = 64° (given)

Required:

m<N

SOLUTION:

m<K = m<J (base angles of an isosceles ∆ are equal)

m<K = 64° (Substitution)

m<K + m<J + m<JLK = 180° (sum of ∆)

64° + 64° + m<JLK = 180° (substitution)

128° + m<JLK = 180°

subtract 128 from each side

m<JLK = 180° - 128°

m<JLK = 52°

In isosceles ∆MNL, m<MLN and <M are base angles of the ∆. Therefore, they are of equal measure.

Thus:

m<MLN = m<JKL (vertical angles are congruent)

m<MLN = 52°

m<M = m<MLN (base angles of isosceles ∆MNL)

m<M = 52° (substitution)

m<N + m<M° + m<MLN = 180° (Sum of ∆)

m<N + 52° + 52° = 180° (Substitution)

m<N + 104° = 180°

subtract 104 from each side

m<N = 180° - 104°

m<N = 76°

4 0
3 years ago
Plz help <br> What does “|” mean in mathematical term <br> Thanks
vova2212 [387]

Answer:

Step-by-step explanation:

If you meant " | ", as in |x|, that's "absolute value."  The domain of this function is "all real numbers," and the range is "all real numbers zero or greater."

8 0
3 years ago
A rectangular garden has length and width as given by the expressions below.
Helen [10]
2[4 − 7(3x + 4y)] + 2[3x(−2y)]
2[4 - 21x -28y] + 2[-6xy]
8 - 42x - 56y -12xy

the perimeter of given rectangular garden is (8 - 42x - 56y -12xy).
4 0
3 years ago
Which association best describes the scatter plot?
exis [7]
No association because the dots are just scattered all over the graph

Negative association would be when the dots are going toward downwards

Positive association would be when the dots are going toward upwards
3 0
3 years ago
Please help and thanks!
Leokris [45]

Answer:    D: 17.3

Step-by-step explanation:

I believe its D because the house and the ground is a 90 degree angle, and at 60 degree angle is a 20 foot ladder. alright then 90 plus 60 = 150 degrees.

then add the twenty foot ladder with each choice for the answer:

A: 20 + 6.1 = 26.1

B: 20 + 10.0 = 30

C: 20 + 14.1 = 34.1

D: 20 + 17.3 = 37.3

The answer would be D because it is the closer number to 150. Because it says " which is the closest height up the house the ladder reaches?" The answer is D the closest number. I HOPE THIS HELPS YOU! =D

4 0
2 years ago
Other questions:
  • Which of the following graphs represents a function help ASAP!!!
    13·1 answer
  • What is 5/9 times 32?
    9·1 answer
  • Find the coordinates of the midpoint of the segment with the given endpoint S(-1,5) and T(7, -2)
    6·1 answer
  • What is ten + ten • 2
    15·2 answers
  • Ehhh... idk okay?? Help me
    7·1 answer
  • How many fish is there if there are 4 fish in a bag and 16 fish in the tank.
    11·1 answer
  • From the sum of 4a + b + c and 9a - c subtract the sum of 18a - b - c and 14a - 2b - c
    15·2 answers
  • A variety of energy bar regularly sells for $1.35, but for one week they were on sale for $0.95.
    13·2 answers
  • The graph below shows the number of books the students in Mrs. Harold's class read this semester. Which two students together re
    6·1 answer
  • Factor completely.x2 + 3xy - 4y2 - 5y + 5x
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!