Does (1, 1) make the inequality 2x + 17y ≥ 19 true?

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The point  (1, 1) makes the inequality true.

Step-by-step explanation:

Given inequality:

Point (1,1)

To check if the inequality is true for the given point.

Solution:

For a point to make the inequality true it must be a solution of the inequality.

To check if point (1,1) lies within the inequality range, we will plugin the and values of the point in the given inequality.

Plugging in and in the inequality.

Thus it satisfies the inequality as 19 is included in the inequality.

The graph of the inequality and the location of the point (1,1) is shown below.

From the graph, we can see that (1,1) lies on the line which is included in the solution of the inequality.

Thus, we say point  (1, 1) makes the inequality true.

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: