ablakely21 ablakely21

07-05-2019
Mathematics

contestada

65 Points - I have class in 1hr and I still can't figure this out... pls give full explanation and correct answer or else you'll be reported for "point greediness" --- thx ya'll

AB is tangent to the circle k(O) at B, and ADis a secant, which goes through O. Point O is between A and D∈k(O). Find m∠BAD and m∠ADB, if measure of arc BD is 110°20'.

Respuesta :

LammettHash LammettHash

07-05-2019

Sounds like the situation in the sketch below...

There is a theorem that says the angle (BAD) formed by a tangent (AB) and a secant (AD) to a circle (O) is half the difference of the intercepted arcs (BD and BD'):

[tex]m\angle BAD=\dfrac{110^\circ20'-69^\circ40'}2=40^\circ40'[/tex]

Triangle BAD is a right triangle, so

[tex]m\angle ADB=90^\circ-m\angle BAD=49^\circ20'[/tex]

Ver imagen LammettHash

Answer Link

Otras preguntas

Which prism has an area of 6 cubic units?

Let f (x )equals x squared minus 10 x plus 6. a. Find the values of x for which the slope of the curve yequalsf(x) is 0. b. Find the values of x for which the

The predetermined overhead rate is multiplied by the actual allocation base incurred by a job to find: a. actual overhead b. overhead applied to the job c. the

The alignment of ancient Chinese cities toward the cardinal directions (north, south, east, west) best illustrates the importance of which of the following fact

Why did England develop a constitutional monarchy while absolute monarchies ruled in France, Spain, and Russia?

A 0.290 cm diameter plastic sphere, used in a static electricity demonstration, has a uniformly distributed 30.0 pC charge on its surface. What is the potential

After completing the closing entries for Revenues and Expenses, the Income Summary account has a credit balance of $1,500. The journal entry to close out the $1

Explain the four criteria for proving the correctness of a logical pretest loop construct of the form "while B do S end". And prove the correctness of the follo

When customers have their groceries scanned at the supermarket checkout counter, the data are collected and processed by tracking services such as IRI's InfoSca

"The duty of the principal to hold an agent "harmless," and to pay any judgments for which the agent becomes liable while carrying out the principal's orders, i