The measure of angle 7 is 61 degrees by the Alternate interior angles theorem.
The alternate interior angles theorem states that, the alternate interior angles are congruent when the transversal intersects two parallel lines. Hence, it is proved. Alternate interior angles can be calculated by using properties of the parallel lines.
Answer: $20
Step-by-step explanation:
Let 'x' be the cost of a ticket at Haynes
Let 'y' be the cost of a ticket at Valley
Since the total cost from both schools are the same, we can write it as:
Since the cost of tickets at Valley was $5 less than Haynes, we can write it as:
Now we have two equations, we can use to substitute into the other expression:
we substitute y in this equation with the other equation
Therefore the cost of the ticket at Haynes is $20 and the cost of the ticket at Valley is $15.
Half the cards are even, 70/2 = 35 even cards.
The probability of picking an even card = 35/70, which reduces to 1/2
Answer:
x + 6 = 33
Step-by-step explanation:
6 more than x means there's an increment in the value of x by addition of 6
x + 6 = 33
This leads to an algebraic linear equation. x is an unknown variable and can be solved for
we subtract 6 from both sides of the equation
x + 6 - 6 = 33 - 6
x = 27
Therefore, we can say 6 more than 27 is 33
Well the answer is -2y-4 but the different terms in this problem are 4 and 5y and 3y where 5y and 3y are like terms