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kumpel [21]
3 years ago
9

Parallel lines and tranvsveral

Mathematics
1 answer:
stiks02 [169]3 years ago
8 0

Answer:

105

Step-by-step explanation:

they are supplementary

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Need help with inscribed angles If M
Bogdan [553]

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.

We know that base angles of an isosceles triangle are congruent.

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

m\angle OAB=m\angle OBA

m\angle OAB=30^\circ

In triangle AOB,

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

Therefore, the measure of angle AOB is 120 degrees.

6 0
3 years ago
Please help me guys!!!
sdas [7]
I can't see the whole problem
3 0
3 years ago
A​ quilt's width is made up of 49 ​1-inch wide strips. How wide is the quilt in​ yards? (1 yd=36 inches) (Round answer to two de
Katyanochek1 [597]
1.36 yards total quilt
5 0
3 years ago
Read 2 more answers
Avis purchased a Jeep for $12,480. Her down payment was $3,600. She paid the remainder in 48 monthly payments. Write a numerical
MrMuchimi

9514 1404 393

Answer:

  (12480 -3600)/48

Step-by-step explanation:

Assuming a 0% interest rate, the monthly payment will be 1/48 of the amount remaining after the down payment:

  (12480 -3600)/48

_____

= 185

7 0
3 years ago
Imma keep on saying this I understand some of it but not all againnnn I’m sorryyy
Mariulka [41]

Answer:

6) The answer is 210p - 105

7) The answer is  -124q + 216

Step-by-step explanation:

1. Always Distributive Property first

6) -14 (8 - 15p)           7) -12 ( -18 + 10q)

    -112 +210p                 216 -120q

2. Combine like terms

6) -112  +  7  = -105   your full answer is 210p -105

7) -120q +   -4q  =  -124q  Your full answer is -124q +216.

Hope this helps.

6 0
3 years ago
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