Step-by-step explanation:
If PQRS is a quadrilateral inscribed in a circle, then the opposite angles of the quadrilateral are <u>supplementary</u><u>.</u>
y + 68° = 180° { being opposite angles of cyclic quadrilateral }
y = 180° - 68°
y = 112°
x + 82° = 180° { being opposite angles of cyclic quadrilateral }
x = 180° - 82°
x = 98°
Hope it will help :)❤
Answer:
9/10
Step-by-step explanation:
90%
Answer:

Step-by-step explanation:
1) if the point A has coordinates (-1;10) and the point B - (5;2), then it is possible to write common view of the required equation of the line:

2) if to substitute the coordinates of A&B into the common equation, then:

3) finally, in slope-intersection form:
3y= -4x+26; ⇔ y= -4/3 x +26/3.
P.S. the suggested way of the solution is not the only one.
Answer:
The points are: (16.12,0),(-8.12,0).
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



Distance between two points:
Suppose we have two points,
and
. The distance between them is given by:

Find all points on the x-axis that are 14 units from the point (4, -7).
Being on the x-axis mean that they have y-coordinate equal to 0, so the point is (x,0).
The distance is 14. So






So 



The points are: (16.12,0),(-8.12,0).
We know that for each triangle made up by dashed line segment forms 30° angles, so, for example, ∠GOH is 30° and then ∠HOI is 30°
Rotating the shape 240° around the centre is the same as counting in 30°
The triangle GOH will first fit the triangle HOI then triangle IOJ and so on until it has completed 8 times 30° turn. Its final position is shown in the diagram below