Answer:
first answer
Step-by-step explanation:
the first symbols mean : congruent.
the second symbols mean : parallel.
therefore answer option 1 is the direct translation of "if opposite sides of a quadrilateral are congruent, then it is a parallelogram" (= each of the 2 pairs of opposite sides consists of parallel sides).
Answer:
(- 1, - 2 )
Step-by-step explanation:
Given the 2 equations
x - 3y = 5 → (1)
5x - 2y = - 1 → (2)
Rearrange (1) expressing x in terms of y by adding 3y to both sides
x = 5 + 3y → (3)
Substitute x = 5 + 3y in (2)
5(5 + 3y) - 2y = - 1 ← distribute left side
25 + 15y - 2y = - 1
25 + 13y = - 1 ( subtract 25 from both sides )
13y = - 26 ( divide both sides by 13 )
y = - 2
Substitute y = - 2 in (3) for corresponding value of x
x = 5 + (3 × - 2) = 5 - 6 = - 1
Solution is (- 1, - 2 )
Answer:
12 correct answers
Step-by-step explanation:
Since in the main part she scores 8.3 points for each question she answers correctly, we can assume that the number of questions she answers correctly=a
Therefor, the total number of points she achieved in the math test in the main part alone can be expressed as:
Total score(main part)=8.3×a=8.3a points
She also solved a bonus question worth=11 points
Consider expression 1 below
The total score in the whole test=Total score in the main part+Bonus points, where;
Total score in the whole test=110.6 points
Total score in the main part=8.3a points
Bonus points=11 points
Substituting the values in expression 1:
8.3a+11=110.6
8.3a=110.6-11
8.3a/8.3=99.6/8.3
a=12
Number of correct answers in the main part=a=12
Answer:
y is going back by 3's x is going back one
Step-by-step explanation:
Simplified: 13/50
Not Simplified: 26/100
