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
hjlf
3 years ago
12

What’s the correct answer for this?

Mathematics
2 answers:
garik1379 [7]3 years ago
8 0

Answer:

\fbox{\begin{minipage}{8.8em}Option D is correct\end{minipage}}

Explanation:

Here, we state again the definition of inscribed angle in circle:

(1) An inscribed angle has the vertex on the circle and the sides are chords.

=> In the picture shown, <u>angle ELK is inscribed angle</u> with vertex L and LE and LK are chords.

(2)An inscribed angle also creates an intercepted arc whose endpoints are on the angle.

=> Inscribed angle ELK creates <u>intercepted arc EK</u>.

(3) According to the Inscribed Angle Theorem, the measure of intercepted arc is twice as the measure of its inscribed angle.

=> Angle ELK = (1/2) arc EK

Arc EK, whose EK is diameter, is equal to measure of half of circle, or 180 degree, in other words.

=> Angle ELK = (1/2) x 180 = 90 deg

(4) As the property of sum of 3 angles inside a triangle, this sum is equal to 180 degree.

=> Considering triangle ELK:

ELK + LEK + LKE = 180 deg

or

90 + 55 + LKE = 180 deg

or

LKE = 180 - 90 - 55 = 35 deg

Hope this helps!

:)

eimsori [14]3 years ago
4 0

Answer:

D: <K = 35°

Step-by-step explanation:

<E = 55

<L = 90°

Now

<LKE = 180-90-55

<K = 35°

You might be interested in
Twelve out of 18 students in Mrs. Marlin's class buys pizza for lunch on Fridays.at this rate,if there are 240 students in the e
Bond [772]

I believe it’s 80 but I’m not sure

8 0
3 years ago
1 PERFORMANCE - Essay
Amiraneli [1.4K]

Answer:

Thus the length = 230 and width = 90.

Step-by-step explanation:

Farmer Fernanda wants to put a fence around her rectangular field. The length of the field is 40 feet less  than 3 times the width.

She has 320 feet of fencing.

Let the length of the rectangular fence be x and the width of the fence be y.

Then the relation between them is

x = 3y - 40

Also x + y = 320

Solving these equations,

320 - y = 3y - 40

4y = 360

y = 90

x = 230

Thus the length = 230 and width = 90.

7 0
3 years ago
A local store buys used video games. For each game bought, they will pay $18 less than the original price paid for the game. Whi
LenKa [72]

Answer:

d

Step-by-step explanation:

I already did this before

4 0
2 years ago
Find the missing number so that the equation has no solutions.<br> x - 18 = -3x - 8
Wewaii [24]

Answer: x = 5/2

Step-by-step explanation:

4 0
3 years ago
Compare.<br><br> Select &lt;, &gt;, or = .<br><br> 6 yd 216 in. Which is bigger
olganol [36]

6yd and 216in and both equal

7 0
2 years ago
Other questions:
  • Please help with 18-20, thank you
    12·1 answer
  • A sample in which every person object or event has a equal chance of being selected
    11·1 answer
  • Use a=5 b=-3 and c = -2<br> ab=<br><br> b+6=<br><br> a^c=
    10·2 answers
  • Find the next four terms in the arithmetic sequence. 6,11,16
    5·1 answer
  • What is 3+16-2×0+1 ?
    5·1 answer
  • For brainiest:):):):):):):):)
    7·2 answers
  • Use the function below to find f(2). f(x)=1/3•4^x
    8·2 answers
  • PLEASE HELP
    8·1 answer
  • Click on the photo to see it.
    11·2 answers
  • Simplify: square root negative three and square root negative 27
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!