Answer:
3 and 4
1 and 3
Step-by-step explanation:
This is because these are vertical angles so anything on one side is the same on the other in these words Congruent. Good luck.
If a square has an area of 45 square units its side has a length of
units. Is that a perfect length? I don't know, but I know it's perfect for a square whose area is 45.
Answer:
x= 15
Step-by-step explanation:
Since this is an isosceles triangle, the other angle is also 5x-6
The sum of the angles of a triangle is 180
42+ 5x-6 + 5x-6 = 180
Combine like terms
10x+30 =180
Subtract 30 from each side
10x+30-30 = 180-30
10x = 150
Divide by 10
10x/10 = 150/10
x= 15
Answer:
everything inside is potssiise but it doesn't affect the sorrouding ones
1. The first question is the equation of the line from point R as a median. It is a median if it intersects at the midpoint of the opposite length. This is represented as the red line. The midpoint is:
x,m = (4+-2)/2 = 1
y,m = (-1+7)/2 = 3
The midpoint is at (1,3). With this point and point R(9,9), the equation would be:
y = mx + b, where
m = (9 - 3)/(9 - 1) = 0.75
b is the y-intercept
Substituting any point,
3 = 0.75(1)+b
b = 2.25
Thus, the equation for the median is:
y = 0.75x + 2.25
2.) The altitude of the triangle from point r is a straight line from vertex R down to the opposite side which creates a right angle. As you can see in the picture, this is also the median. So, the equation is also y = 0.75x + 2.25.
3.) Yes, the answers for the median and altitude are the same, because the median also makes a perpendicular angle to the opposite length, which makes it the altitude.
4.) If the triangle is isosceles, then the length of sides QR and PR should be equal. Let's use the distance formula:
Between Q(-2,7) and R(9,9)
d = √(9 - ⁻2)² + (9 - 7)² = 5√5
Between P(4,-1) and R(9,9)
d = √(9 - 4)² + (9 - ⁻1)² = 5√5
Since the distances are equal, then the triangle is an isosceles.
