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tino4ka555 [31]
2 years ago
6

Need help with inscribed angles If M

Mathematics
1 answer:
Cloud [144]2 years ago
4 0

Given:

In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and m\angle BCD=30^\circ.

To find:

The m\angle AOB.

Solution:

If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

We have, DC is parallel to BA and BC is the transversal line.

\angle OBA\cong \angle BCD        [Alternate interior angles]

m\angle OBA=m\angle BCD

m\angle OBA=30^\circ

In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.

The base angles of an isosceles triangle are congruent. So,

\angle OAB\cong \angle OBA      [Base angles of an isosceles triangle]

m\angle OAB=m\angle OBA

m\angle OAB=30^\circ

Using the angle sum property in triangle AOB, we get

m\angle OAB+m\angle OBA+m\angle AOB=180^\circ

30^\circ+30^\circ+m\angle AOB=180^\circ

60^\circ+m\angle AOB=180^\circ

m\angle AOB=180^\circ-60^\circ

m\angle AOB=120^\circ

Hence, the measure of angle AOB is 120 degrees.

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kaheart [24]

Answer:

Line FN.

Step-by-step explanation:

A chord is a line whose endpoints both lie on the circle.

All the other lines' endpoints are on the circle.

In line FN, point N is on the circle but point F is not.

This makes line FN not a chord.

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arlik [135]

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(x_{1},x_{2}) : (4.5,1.5)

k = x_{1}x_{2} = 4.5 \times 1.5 = 6.75

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1 year ago
What is the value of 3-6(z-2) if z=-2
krek1111 [17]

Answer:

27

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

3 - 6(z - 2)

z = -2

<u>Step 2: Evaluate</u>

  1. Substitute in <em>z</em>:                   3 - 6(-2 - 2)
  2. (Parenthesis) Subtract:      3 - 6(-4)
  3. Multiply:                              3 + 24
  4. Add:                                    27
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Step-by-step explanation:

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PLEASE HELP ME I AM SO DUM I CANT EVEN FIGUER IT OUT PLEASSE HELP ME PLEASE I REALLY NEED HELP.Its baking season for Mrs. Jackso
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Answer:

The values are given below.

Step-by-step explanation:

Mrs. Jackson bakes cookies for her family and colleagues at work. The number of cookies she bakes on the x-th day of December is given by,

f(x) = \mid (x - 24) \mid  until 24-th of December.

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0          24

4          20

8           16

12          12

16           8

20          4

24           0

28          unknown

31`           unknown

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