Answer:
y = x + 12
y + x = 52
x = 20
y = 32
Step-by-step explanation:
Make a system of linear equations using x and y to represent the players on the soccer and field hockey team respectively:
y = x + 12 (this shows how many players are on the hockey team)
y + x = 52 (this shows that there are 52 players total from both teams)
Solve for the variables using either elimination or substitution:
y + x = 52
(x + 12) + x = 52
2x + 12 = 52
2x = 40
x = 20
Then plug x into the first equation:
y = x + 12
y = (20) + 12
y = 20 + 12
y = 32
Answer:
115°
Step-by-step explanation:
See the attached diagram for this answer.
Line j and Line k are parallel to each other and Line t crosses them diagonally.
Now, the angles formed are named according to the problem.
Here, angle ∠ 7 is given to be 65° and we have to find the angle ∠ 6.
Now, line t being a straight line, ∠ 7 and ∠ 6 are supplementary and
∠ 6 + ∠ 7 = 180°
⇒ ∠ 6 + 65° = 180°
⇒ ∠ 6 = 180° - 65°
⇒ ∠ 6 = 115° (Answer)
Answer:
39°
Step-by-step explanation:
Opposite angles of a parallelogram are congruent.
The answer is 171.25.
Hope this helped!
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