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>
Answer: q = 40
Step-by-step explanation:
Given the quadratic formula as
x = [-b +/-√(b^2 -4ac)]/2a
b = -14
a = 1
c = q
Difference d between the two roots.
d = [-b + √(b^2 -4ac)]/2a - [-b -√(b^2 -4ac)]/2a
d = 2√(b^2 -4ac)/2a
d = √(b^2 -4ac)/a
And d = 6
Substituting the values of a,b and c. We have;
6 = √[(-14^2) - (4×1×q)]
Square both sides
6^2 = 196 - 4q
4q = 196 - 36
q = 160/4
q = 40
The equation becomes
x^2 - 14x + 40 = 0
To find the amount of matches won:
120 – 50 = 70
So the baseball team has won 70 matches.
To convert this to a percentage:
(Matches won / Total matches ) x 100
(70/120) x 100 = 58.3% (rounded to 1 decimal place)
16--(3) $17
17--(3) $64
18--(2) $18
Hey There!
3×9=27
27-15=12
Teresa has 12 pieces of Chocolate left
Hope This Helps!!!!
