The Hypotenuse Angle Theorem, similar to the HL Theorem, states that if the hypotenuse and one angle of a right triangle are congruent to the hypotenuse and corresponding angle of another right triangle then the triangles are congruent. Prove the HA theorem

Step-by-step explanation:

In order to proof the HA theorem, we consider two triangles  and   which are right angle triangles. The right angle lies at points  and   respectively.

We also consider that the hypotenuse are congruent meaning  and  .

Now we have taken that angle  and  .

Since  and  are 90 degrees, so angle B would be congruent to angle E i.e  

Hence by Angle, side and angle congruence in both triangles we can write as,  .

And this is what the HA thoerem states also

1 is c

2 is a

3 is a

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: