9514 1404 393
Answer:
A) The angles marked ∠7 and ∠8 are vertical angles.
B) The angles marked with expressions in y are also vertical angles, so those expressions are equal to each other. Stating this in equation form gives an equation that can be solved for y.
C) y = 24; ∠7 = ∠8 = 89°
Step-by-step explanation:
A) The angles marked ∠7 and ∠8 are vertical angles, comprised of opposite rays and having a common vertex.
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B) The angles marked with expressions in y are also vertical angles. Vertical angles are congruent, so those expressions are equal to each other. Stating this in equation form gives an equation that can be solved for y.
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C) (5y-29)° = (3y+19)°
2y = 48 . . . . . . . . . . . . divide by °, add 29-3y
y = 24 . . . . . . . . . divide by 2
Angles 7 and 8 are supplementary to the angles marked with expressions in y.
∠7 = ∠8 = 180° -(5y -29)° = 209° -5(24)°
∠7 = ∠8 = 89°
Answer:
$123
Step-by-step explanation:
The question isn’t complete, it is however completed below;
Mabel has a skating rink party for her birthday. The cost to rent the party room was $75. The cost of the ticket for each of the 6 people who came to the party was $8. What was the total cost of the party?
Let’s solve now!
In this question, we are asked to calculate the cost spent on a party if the room in which the part was hosted cost a certain amount and the 6 people invited paid a certain ticket fee.
To calculate this, we simply add the amount of the ticket plus the amount for the room.
The total amount paid for the ticket would be 6 * 8 = $48
Adding this to the room cost will yield ;
$48 + $75 = $123
Hence the party cost a total of $123
Answer:
(3, 7)
Step-by-step explanation:
Just substitute x = 3 into the equations.
2(3) + 4y = 34
6 + 4y = 34
4y = 28
y = 7
Answer:
given
Step-by-step explanation:
