Answer:
<u>Option B. Side YZ is the same length as side Y'X'.</u>
Step-by-step explanation:
XYZ is reflected across the y-axis and then translated down 6 units to form X'Y'Z'.
So, X' is the image of point X
Y' is the image of point Y
Z' is the image of point Z
And ΔXYZ ≅ ΔX'YΔ'Z'
And the corresponding length are congruent
We will check the options:
A. X has the same measure as X'. ⇒ True
B. Side YZ is the same length as side Y'X'. ⇒ Wrong
Because YZ will be translated to Y'Z'
C. Z has the same measure as Z'. ⇒ True
D. Side XZ is the same length as side X'Z'. ⇒ True
<u>So, The answer is option B. Side YZ is the same length as side Y'X'.</u>
<span>You did not include the equations that you want to assess whether they can be used to solve for the radius (r).
Likely, the equation of the circumference, C = 2*Pi*r is included, if so => r = C / (2*Pi).
If you round Pi to 3.14, the equation may be written r = C / 6.28.</span>
Answer:
-37/15
Step-by-step explanation:
-4/5+(-5/3)
-4/5-5/3
-12/15-25/15
-37/15
The probability that the major of one student that is selected at random is engineering can be calculated by the total number of engineering major divided by the total number of students
p = engineering / total students
p = 300 / ( 300 + 700 + 500)
p = 0.2 is the probability of the major of one student is engineering