Answer:
Step-by-step explanation:
Steps are below
step 1
4.5 + 5.9 equation
step 2
4.5 + 5.9 add them together by moving the points
4.5 + 5.9
10.4
Answer:
∠A = 45°
Step-by-step explanation:
◺ABC is a right angled triangle.
Sum of interior angles in a triangles is 180.
∠A + ∠B + ∠C = 180°
∠A + 90° + 45° = 180°
∠A = ( 180 - 90 - 45 )°
∠A = 45°
Note : -
□ is 90°
The line has a positive slope. Let's look at all the slopes:
1) -3
2) -3
3) 3
4)3
Which ones are positive? That's right, 3 and 4. We don't know which equation would be the equation of the line. That's where the other information comes in.
The line intersects the y-axis at at a point that has a negative y-coordinate. Lets write the last two equations in slope-intercept form.
1) y = -3/2x - 5/2
2) y = -3/2x + 5/2
We have to graph both of the lines now. The graphs are at the very bottom. Take a look at them. In the first one, the y-intercept is a negative and in the second one, the y-intercept is positive.
The third one AKA 3x + 2y = -5 is the equation of the line. I hope this helps! Let me know if I got it wrong or if you need any more help.
Answer:
1/2 or 0.5
Step-by-step explanation:
(y2-y1)/(x2-x1)
(4 - - 3)/ (8 - -6)
7/14
1/2 or 0.5
We know that the diagonals of a rectangle bisect each other.
So, If we draw the second diagonal of the rectangle, it will bisect the first diagonal, which is the hypotenuse of the triangle.
Also, in a rectangle, the bisectors of the sides and the diagonals are concurrent.
Hence, if we draw bisectors of the two sides of the given triangle, these bisectors and the second diagonal, which is the bisector of the hypotenuse, meet at a point.
Circumcenter of a triangle is nothing but the point of intersection of the bisectors of the sides of the triangle.
Since the above bisectors and the hypotenuse (the first diagonal of the rectangle) are concurrent, the circumcentre lies on the hypotenuse.
Hence, the circumcenter lies on the hypotenuse of the triangle.