Answer:
RT = 86
Step-by-step explanation:
Here, we want to find the value of RT
looking at the given triangle, we can deduce that the smaller triangle SPQ is half the measure of the bigger triangle SRT
what this mean is that we have to multiply the dimensions on SPQ by 2 to get the equivalent dimensions of similar sides in SRT
Thus, we have it that;
2(15x -17) = 23x -6
30x - 34 = 23x -6
30x -23x = -6 + 34
7x = 28
x = 28/7
x = 4
So, we make a substitution
for RT;
23x-6
= 23(4) - 6 = 92-6 = 86
The mistake made by student is 6x(3) = 18x
because 18x + 6x = (18+6) x = 24x
D) I hope this answer helped :)
Answer:
The equation of perpendicular bisector of the line segment passing through (-5,3) and (3,7) is: 
Step-by-step explanation:
Given points are:
(-5,3) and (3,7)
The perpendicular bisector of line segment formed by given points will pass through the mid-point of the line segment.
First of all we have to find the slope and mid-point of given line
Here
(x1,y1) = (-5,3)
(x2,y2) = (3,7)
The slope will be:

The mid-point will be:

Let m1 be the slope of the perpendicular bisector
Then using, "Product of slopes of perpendicular lines is -1"

We have to find the equation of a line with slope -2 and passing through (-1,5)
The slope-intercept form is given by:

Putting the point (-1,5) in the equation

The final equation is:

Hence,
The equation of perpendicular bisector of the line segment passing through (-5,3) and (3,7) is: 
Answer:
a) 0.4164
Step-by-step explanation:
Mean lifespan (μ) = 18.8 days
Standard deviation (σ) = 2 days
For any given lifespan 'X', the z-score is:

For X=12.04 days:

A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.
For X=18.38 days:

A z-score of -3.38 falls in the 41.68th percentile of a normal distribution.
The probability that a butterfly lives between 12.04 and 18.38 days is
