If m∠jkl = (8x – 6)° and measure of arc jml = (25x – 13)°, find measure of arc jml.

Question

01-03-2022
Mathematics

Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

If m∠jkl = (8x – 6)° and measure of arc jml = (25x – 13)°, find measure of arc jml.

Sagot :

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.

The Middle Kingdom of Assyria was located in an area also known as the (1) subcontinent (3) Fertile Crescent (2) Holy Land

Which process uses energy to combine inorganic molecules to synthesize organic molecules? (1) respiration (3) photosynthesis (2) digestion (4) decomposition

Why did many Federalists switch their support from the French to the new government during the course of the Saint-Domingue Revolution? They wanted to resume tr

One way in which Emperor Meiji of Japan and Kemal Atatürk of Turkey are similar is that they both (1) crushed secessionist movements (2) worked to

Which statement about Justinian's Code is not true? A. It replaced redundant and contradictory laws with a clear and consistent system. B. It helped unite the d

Which of the following events most influenced Confucius and his philosophy?

Cause: Conflicts arose states' rights and the Federal government Effect:

How did the experience of being "comfort women" affect women from Japanese-occupied countries? A. After the war, surviving comfort women were welcomed back into

Document 4 …The Chinese had long been opposed to the opium trade. The drug had been introduced into China by Dutch traders during the seventeenth

In the struggle to gain independence for their countries, both Kwame Nkrumah and Ho Chi Minh relied on (1) nationalist sentiments (2) trench warfar

akposevictor akposevictor · Answer 1 · 2022-03-04T03:44:02-05:00

Applying the angle of intersecting secants theorem, the measure of arc JML is: 262°.

What is the Angle of Intersecting Secants Theorem?

The angle of intersecting secants theorem states that when two lines form an external angle outside a circle, the measure of the angle is half the difference between the measure of the major and minor intercepted arcs.

Thus:

m∠JKL = (measure of arc JML - measure of arc JL)/2 => angle of intersecting secants theorem

m∠JKL = 8x - 6

measure of arc JML = 25x - 13

measure of arc JL = 360 - (25x - 13)

Plug in the values

8x - 6 = [(25x - 13) - (360 - (25x - 13))/2]

Solve for x

2(8x - 6) = [(25x - 13) - (360 - 25x + 13)]

16x - 12 = [(25x - 13) - (373 - 25x)]

16x - 12 = 25x - 13 - 373 + 25x

16x - 12 = 50x - 386

16x - 50x = 12 - 386

-34x = -374

x = 11

Measure of arc JML = 25x - 13

Plug in the value of x

Measure of arc JML = 25(11) - 13 = 262°

Learn more about angle of intersecting secants theorem on:

https://brainly.com/question/1626547

If m∠jkl = (8x – 6)° and measure of arc jml = (25x – 13)°, find measure of arc jml.

Sagot :

What is the Angle of Intersecting Secants Theorem?

Other Questions