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,

Using angle sum of property in triangle ADB we get,


.
Draw a line segment AO.
In triangle AOD, AO=OD, so

Using angle sum property in triangle AOD,



Therefore length of arc AD is 40°.
The angle AOD and AOB are supplementary angles.



Therefore length of arc AB is 140°.
4/5 is the slope of all lines parallel
Answer:
Option A.
Step-by-step explanation:
While proving a number to be irrational, we usually start with the assumption that the number is rational . In the same way here , we will assume the opposite of the inequation to be proved , that is, x < 3 .
Answer:
x=5
Step-by-step explanation:
1) Group like terms which will then make the equation 4x-2(x-5)=5x-5
2) Expand the equation (multiply) which will make it 4x-2x+10=5x-5
3) Add similar elements; 2x+10=5x-5
4) Subtract 10 from both sides; 2x=5x-15
5) Subtract 5x from both sides; -3x=-15
6) Divide by 3; x=5