Answer:
The answer is 94
Step-by-step explanation:
divide 7/10 because thats the fraction = 0.7
divide 65.8 by 0.7
to get 94
to check
multiply 94 by 0.7
Answer: Vertical Line
Step-by-step explanation: The line x = -5 is a vertical line at -5. All of the coordinates on the line have an x value of value, which results in a vertical line.
Answer:
Option 3rd is correct
No,
she should have added 
and 
and compared that to 
Step-by-step explanation:
In a right angle triangle, we use Pythagorean theorem.
Pythagorean theorem states that
the sum of the squares of two sides must equal the square of the third side(the side facing the right angle).
i.e, 
Given a triangle with side lengths 6, 10, and 8.
If we square all the given sides, we get;
,
It can be seen that the sum of 36 and 64 is 100
⇒
which satisfies the Pythagorean theorem.
⇒ The triangle is right-angled with the side lengths 6 units and 8 units forming the right angle and the side length 10 units being the hypotenuse.
Therefore, her answer is incorrect, she should have added and and compared that to
Answer:
1) x = 40° & y = 50°
2) x = 100° & y = 80°
Step-by-step explanation:
1)
ABCD is a cyclic quadrilateral (∵ all the vertices of the quadrilateral are touching on the circle). As it is a cyclic quadrilateral , sum of it's opposite angles will be 180°.
⇒ ∠ADC + ∠ABC = 180°
⇒ 130° + y = 180°
⇒ y = 180 - 130 = 50°
In ΔABC ,
∠ACB = 90° (∵ AB is the diameter of the circle and a diameter subtends an angle of 90° on any point on circle.)
Using angle sum property of triangle ,
∠ABC + ∠ACB + ∠CAB = 180°
⇒ y + 90° + x = 180°
⇒ x + 50° + 90° = 180°
⇒ x + 140° = 180°
⇒ x = 180 - 140 = 40°
2)
ΔABC is an isosceles triangle (∵AB = AC). As it is an isosceles triangle , it's base angles will be equal. So , ∠ABC = ∠ACB = 50°
Using angle sum property of triangle ,
∠ABC + ∠ACB + ∠BAC = 180°
⇒ 50° + 50° + y = 180°
⇒ y + 100° = 180°
⇒ y = 180 - 100 = 80°
ABEC is a cyclic quadrilateral (∵ all the vertices of the quadrilateral are on the circle.). As it is a cyclic quadrilateral , sum of it's opposite angles will be 180°.
⇒ ∠BAC + ∠BEC = 180°
⇒ y + x = 180°
⇒ x + 80° = 180°
⇒ x = 180 - 80 = 100°
