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
mamaluj [8]
3 years ago
8

Given: measure of arc ED = 50° m∠EDK = 80° Find: ∠DSK

Mathematics
1 answer:
svetoff [14.1K]3 years ago
6 0

Answer:

75°

Step-by-step explanation:

∠ESK is the supplement of ∠EDK, so is 100°. ∠ESD = 1/2·arc ED, so is 25°. Since ...

∠ESK = ∠ESD + ∠DSK

you have ...

100° = 25° + ∠DSK . . . . fill in known values

75° = ∠DSK . . . . . . . . . . subtract 25°

_____

Regarding opposite angles of an inscribed quadrilateral

Chord EK divides the 360° circle into two arc: major arc EDK and minor arc ESK. The sum of those arcs is 360°. Each of the inscribed angles that intercepts those arcs has half the measure of the arc. That is, ∠ESK intercepts arc EDK, so has half its measure. Likewise, ∠EDK intercepts arc ESK, so has half its measure. The sum of those opposite angles will be the sum of half the measures of the arcs, so half the sum of the arcs, or 1/2·360° = 180°.

This is why we can say ∠ESK is the supplement of ∠EDK.

You might be interested in
What is the answer <br> (x³)^4
Fofino [41]

Answer:

the answer is x^12

Step-by-step explanation:

multiply 3 by 4 and you get 12

8 0
3 years ago
Read 2 more answers
3x – y = -1 x – 2y = -12
Leviafan [203]

The solution to the system of equation is (2, 7)

<h3>System of equation</h3>

Given the  system of equation expressed as:

3x – y = -1  * 2

x – 2y = -12 * 1

________________

6x – 2y = -2

x – 2y = -12

Subtract to have;

6x-x = -2-(-12)

5x = 10

x = 2

Substitute x = 2 into 2 to have:

2 - 2y = -12

-2y = -14

y = 7

Hence the solution to the system of equation is (2, 7)

Learn more on system of equation here: brainly.com/question/25976025

#SPJ1

8 0
1 year ago
Can someone help me with math? I DO NEED help with questions 13, 11, 9, 8, 7, 5, 3. PLEASE HELP ME!!!!! I need these answered by
jek_recluse [69]
Absolute value is just how many integers rhat number is away from 0. i say this because it’s not too hard of a thing to learn and it’s very important in the higher grades.

3 is 2 6/7
5 is a greater than symbol >
7 is 1/3 and negative 1/3 so -1/3
8 is 14 and -14
9 is 21 and -21
11 is | -75 |
i’m not sure about 13 but i believe it could be | -8 |
i hope this helped
8 0
3 years ago
As a member of a music club, you can order CDs for $14.99 each. The music club also charges $4.99 for each shipment. The express
KATRIN_1 [288]
I hope this helps you

6 0
4 years ago
HELP HELP HELP HELP ME!!!!!!!!!!!!!!!
leonid [27]

Answer:

l=\frac{A-\frac{1}{2} \pi w^2}{2w}

Step-by-step explanation:

We essentially need to solve for l; in other words, we must isolate it to one side.

First, notice that the term \frac{1}{2} \pi w^2 doesn't have any l terms in it, so we can just move this to the left side by subtracting both sides by \frac{1}{2} \pi w^2:

A - \frac{1}{2} \pi w^2 = 2lw

Now, the right side has 2lw, so we must divide both sides by 2w to isolate l:

l=\frac{A-\frac{1}{2} \pi w^2}{2w}

<em>~ an aesthetics lover</em>

4 0
3 years ago
Other questions:
  • 6 men can complete a job in 20 days.if the men work at the same rate.how many more are needed to complete the job in 12 days
    10·1 answer
  • An 8-pound bag of tomatoes costs $5.60. At the same rate, what would be the cost of 11 pounds of tomatoes?
    6·1 answer
  • What is the square root of 169/225 in fraction?
    15·2 answers
  • These prisms have different shapes as end faces
    5·1 answer
  • String a is 3 3/5 meters long string b is 2 1/4 meters long. What’s the total length of both strings?
    6·2 answers
  • 6x-2y=-2
    14·2 answers
  • Brady has $180 and makes $6 an hour. Nick has no money but makes $8 an hour.
    10·2 answers
  • 12 pleaseeeee help meeeee!
    7·2 answers
  • Can someone answer this quick
    10·1 answer
  • An item is regularly priced at 20$ . Hong bought it at a discount of 65% off the regular price . how much did Hong pay ?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!