Answer:
x = 10 , y = 15
Step-by-step explanation:
8x - 10 and 7x are alternate angles and are congruent , then
8x - 10 = 7x ( subtract 7x from both sides )
x - 10 = 0 ( add 10 to both sides )
x = 10
Then
8x - 10 = 8(10) - 10 = 80 - 10 = 70
6y + 20 and 8x - 10 are same- side interior angles and sum to 180°, that is
6y + 20 + 70 = 180
6y + 90 = 180 ( subtract 90 from both sides )
6y = 90 ( divide both sides by 6 )
y = 15
Answer:
5/143
Step-by-step explanation:
Answer: The unit rate is $25
Step-by-step explanation: We know that the cost of cabin lodging is 25 dollars per lodger.
Then the equation y = 25x models this relation.
Here the cost is y, and the number of lodgers is x.
We want to find the unit rate.
The actual equation should be in dollars, and the number of lodgers is just a scalar number.
so the equation should be:
y = $25*x
Now, the unit rate is defined as the rate with 1 in the denominator, in this case, is the price for each unit of x (lodgers) so is the price per lodger.
We already know that the price per lodger is $25, so the unit rate is $25.
Answer:
120 degrees
Step-by-step explanation:
plugged into calculator
cos inverse of -1/2
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