1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mariana [72]
3 years ago
10

Match the following items.

Mathematics
1 answer:
max2010maxim [7]3 years ago
3 0

Answer:

1. ∠ABD = 20°.

2.  Arc AB =  140°.

3.  Arc AD =  40°.

Step-by-step explanation:

Given information: ∠ADB = 70°. BD is diameter.

According to Central angle theorem, the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points.

By Central angle theorem,

\angle DAB=90^{\circ}

Using angle sum of property in triangle ADB we get,

\angle ADB+\angle DAB+\angle  ABD=180^{\circ}

70^{\circ}+90^{\circ}+\angle  ABD=180^{\circ}

\angle  ABD=20^{\circ}.

Draw a line segment AO.

In triangle AOD, AO=OD, so

\angle ODB=\angle OAD=70^{\circ}

Using angle sum property in triangle AOD,

\angle AOD+\angle ODA+\angle  OAD=180^{\circ}

\angle AOD+70^{\circ}+70^{\circ}=180^{\circ}

\angle AOD=40^{\circ}

Therefore length of arc AD is 40°.

The angle AOD and AOB are supplementary angles.

\angle AOD+\angle AOB=180^{\circ}

40^{\circ}+\angle AOB=180^{\circ}

\angle AOB=140^{\circ}

Therefore length of arc AB is 140°.

You might be interested in
In consecutive odd integers, three times the largest integer is fifteen less than two-thirds the smallest integer. find both int
aivan3 [116]

Value of both the integers as three times the largest consecutive integer is 15 less than 2/3 the smallest one is -7, -9.

As given,

Let x, x +2 be two consecutive odd integers

Three times largest integer=3( x+2)

15 less than 2/3 smallest integer=(2/3)x -15

Equation :

3(x+2)=(2/ 3)x -15

⇒ 3x +6=(2x -45)/3

⇒ 9x-2x= -18 -45

⇒ 7x=-63

⇒ x =-9

and x+2 =-7

Therefore, value of both the integers as three times the largest consecutive integer is 15 less than the 2/3 the smallest one is -7, -9.

Learn more about integers here

brainly.com/question/15276410

#SPJ4

3 0
1 year ago
Write the numbers 3,2,and 8 in an addition sentence.Show two more ways to find the sum.
drek231 [11]
3+2+8

Two other ways:

10+3
And
11+2
4 0
3 years ago
The equation of the axis of symmetry is x = 3. True or false
Vsevolod [243]

Answer:

true

Step-by-step explanation:

6 0
3 years ago
An angle that measures 82° is bisected. What is the measure of each resulting angle?
Leni [432]
When an angle is bisected, it is cut exactly in half.

82/2 = 41.

The resulting two angles will each be 41 degrees.

Your answer is C.
8 0
3 years ago
Read 2 more answers
Given the following mAB = mBC= mCD in circle F what is the measure of angle AFB
Svetach [21]
50° <span>is the measure of angle AFB</span>

8 0
3 years ago
Other questions:
  • What is the relationship between the area of ABCD and the area of EFGH? Quadrilateral ABCD with side measures 18 for AB, 24 for
    8·1 answer
  • In Seattle, the tax on a property assessed at $570,000 is $12,540. If tax rates are proportional in this city, how much would th
    11·1 answer
  • Harry Potter books have become popular with children and adults alike. A recent survey conducted in London revealed that 64% hig
    12·1 answer
  • Select all the equations that describe each situation and then find the solution.Han's house is 450 meters from school. Lin hous
    14·1 answer
  • Is 5.73773777....., -6 -3/2 0,9} rational or irrational?
    8·1 answer
  • Solve:(1/7)x +(1/6)y =3 ; (1/2)x - (1/3)y =5​
    15·1 answer
  • 2 Points
    6·1 answer
  • Daniel is organizing his rock collection of 18 rocks into equal groups. How many possible ways can Daniel line up his rock colle
    8·1 answer
  • A pyramid has a square base of length 4.8 m and a total surface area of 85 m². Find the volume of the pyramid.​
    11·1 answer
  • Please help! Due today
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!