Answer:
Range for third side is
(
5
,
25
) cm.
Step-by-step explanation:
As two sides of triangle are 10 and 15
,
the third side would have to be less than the sum of other two sides i.e. less than 25 cm.
On the other hand if it is smaller one than this side plus side of length 10
should be greater than 15 and therefore
this side is greater than 15
−
10
=
5 cm.
Hence range is
(
5
,
25
)
Hope this answer helps you :)
Have a great day
Mark brainliest
The answer is 2.5 because the point is at the middle. Hope this’ll help
Answer:
20
Step-by-step explanation:
The lower quartile Q₁ is the value at the left side of the box, that is
Q₁ = 20
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.
-2x+3y=-6 Add 2x in both sides
3y=2x-6 Divide by 3 in both sides to isolate y
y=2/3x-6/3
The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.
y=mx+b Substitute the given point and the previous slope found
-2=(-3/2)(6)+b Combine like terms
-2=-9+b Add 9 in both sides to isolate b
7=b
The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.
This is never true. In a parallelogram, the diagonals will always bisect each other. Thus, each of these segments would always have to be equal.
