12.08.2022

In circle N, KL = ML. What is the measure of JM?

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Faq

Mathematics

In circle N, KL ≅ ML. Circle N is shown. Line segments N J, N M, N L, and N K are radii. Lines are drawn to connect each point on the circle to create secants J M, M L, L K, and K J. M L and K L are congruent. The measure of arc J K is (5 x + 24) degrees, the measure of arc J M is (13 x + 2) degrees, the measure of arc M L is (8 x minus 3) degrees, and the measure of arc K L is (7 x + 7) degrees. What is the measure of Arc J M? 77° 90° 132° 154°

Step-by-step answer

P Answered by PhD

$arc\ JM=132^o$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

we know that

$arc\ JM+arc\ ML+arc\ LK+arc\ KJ=360^o$ ----> by complete circle

substitute the given values

(13x+2)^o+(8x-3)^o+(7x+7)^o+(5x+24)^o=360^o

solve for x

$(33x+30)^o=360^o\\33x=360-30\\33x=330\\x=10$

step 2

Find the measure of arc JM

$arc\ JM=(13x+2)^o$

substitute the value of x

$arc\ JM=(13(10)+2)^o=132^o$

In circle N, KL ≅ ML. Circle N is shown. Line segments N J, N M, N L, and N K are radii. Lines are d

Mathematics

Step-by-step answer

P Answered by Specialist

Step-by-step explanation:

Correct on ED

Mathematics

Step-by-step answer

P Answered by PhD

$arc\ JM=132^o$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

we know that

$arc\ JM+arc\ ML+arc\ LK+arc\ KJ=360^o$ ----> by complete circle

substitute the given values

(13x+2)^o+(8x-3)^o+(7x+7)^o+(5x+24)^o=360^o

solve for x

$(33x+30)^o=360^o\\33x=360-30\\33x=330\\x=10$

step 2

Find the measure of arc JM

$arc\ JM=(13x+2)^o$

substitute the value of x

$arc\ JM=(13(10)+2)^o=132^o$

Mathematics

In circle N, KL ≅ ML. What is the measure of ? 77° 90° 132° 154°

Step-by-step answer

P Answered by Specialist

132

Step-by-step explanation:

JUST TOOK THE TEST

Mathematics

In circle N, KL ≅ ML. What is the measure of ? 77° 90° 132° 154°

Step-by-step answer

P Answered by Master

132

Step-by-step explanation:

JUST TOOK THE TEST

Mathematics

In circle N, KL ≅ ML. What is the measure of Arc J M? 77° 90° 132° 154°

Step-by-step answer

P Answered by Specialist

es 132°

Step-by-step explanation:

KL ≅ ML, entonces triángulo KNL y NLM son similares ah Angle side Angle Theorom .

Entonces,{LNK ≅ LNM}

7x+7=8x-3 8x-7=7+3,x=10

13x+2=13*10+2=130+2=132°

La respuesta es 132°

Mathematics

In circle n, kl ≅ ml. what is the measure of ?

Step-by-step answer

P Answered by PhD

This is the concept of geometry, for us to get the value of JM we will requires to get the value of x first;
From the diagram we have been told that;
KL=ML
KL=7x+7
ML=8x-3
thus;
8x-3=7x+7
collecting the like terms we get;
8x-7x=7+3
x=10
But, JM=13x+2
substituting the value of x in JM we get:
JM=13(10)+2
JM=130+2
JM=132
The answer is 132°

Mathematics

In circle n, kl ≅ ml. what is the measure of ? 77° 90° 132° 154°

Step-by-step answer

P Answered by PhD

177

The answer

according to the figure,
we can find the value of angle delimited arc JM by following the method below:
since KL ≅ ML, so triagle KNL and NLM are similar by Angle Side Angle Theorem, it does mean that ∠LNK ≅LNM
therefore, 7x+7 = 8x -3, it implies 8x -7x = 7+3, x =10

consequently we can find the value of the angle ∠JNM

13x+2 = 13*10+2 =130+2=132° (because x=10)

so the answer is 132°

Mathematics

In circle N, KL ≅ ML. What is the measure of Arc J M? 77° 90° 132° 154°

Step-by-step answer

P Answered by Master

es 132°

Step-by-step explanation:

KL ≅ ML, entonces triángulo KNL y NLM son similares ah Angle side Angle Theorom .

Entonces,{LNK ≅ LNM}

7x+7=8x-3 8x-7=7+3,x=10

13x+2=13*10+2=130+2=132°

La respuesta es 132°

Mathematics