Answer:
Answer:x=
−3z−1
0
Step-by-step explanation:x=
Step 1: Add -2x to both sides.
2x+3z+4+−2x=2x+3+−2x
3z+4=3
Step 2: Add -3z to both sides.
3z+4+−3z=3+−3z
4=−3z+3
Step 3: Add -4 to both sides.
4+−4=−3z+3+−4
0=−3z−1
Step 4: Divide both sides by 0.
0
0
=
−3z−1
0
x=
−3z−1
0
<h3>Answer:</h3>
Yes, ΔPʹQʹRʹ is a reflection of ΔPQR over the x-axis
<h3>Explanation:</h3>
The problem statement tells you the transformation is ...
... (x, y) → (x, -y)
Consider the two points (0, 1) and (0, -1). These points are chosen for your consideration because their y-coordinates have opposite signs—just like the points of the transformation above. They are equidistant from the x-axis, one above, and one below. Each is a <em>reflection</em> of the other across the x-axis.
Along with translation and rotation, <em>reflection</em> is a transformation that <em>does not change any distance or angle measures</em>. (That is why these transformations are all called "rigid" transformations: the size and shape of the transformed object do not change.)
An object that has the same length and angle measures before and after transformation <em>is congruent</em> to its transformed self.
So, ... ∆P'Q'R' is a reflection of ∆PQR over the x-axis, and is congruent to ∆PQR.
Answer:
but it is already in cm
5.8 cm is 5.8 cm but if you want mm
5.8 cm is 58 mm
Step-by-step explanation:
Women can be seated in 89 ways.
Let Sn be the number of possible seating arrangements with n women. Consider n≥3 and focus on the rightmost woman. If she goes back to her seat, then there are Sn−1 ways to seat the remaining n−1 women. If he is sitting in the penultimate seat, then the woman who was sitting there before must now sit in the rightmost seat.
This gives us Sn−2 ways to seat another n−2 woman, so we get the recursion Sn=Sn−1+Sn−2. Starting with S1=1 and S2=2 we can calculate S10=89.
For more information about permutation, visit brainly.com/question/11732255
#SPJ4
Answer: d) 0.31
Step-by-step explanation:
Given : In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes.
i.e. 
and 
It is assumed that this is a normally distributed variable.
Let x denotes the time spend by a person on treadmill.
Then, the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.
Hence, the required probability = 0.31
Thus , the correct answer = d) 0.31
