PLEAS EHELP ILL GIVE BRAINLIEST PLEASE SHOW WORK SO I CAN UNDERSTAND

Mathematics

2 answers:

vazorg [7]2 years ago

4 0

Answer:

The answer is B! I'm 100% sure!

Step-by-step explanation:

8% of $72.60 means 0.08*72.6 which equals 5.808. 20% of $72.60 means 0.2*72.6 which equals 14.52. 14.52+5.808=20.328. 20.328+72.6=92.928 which rounds up to $92.93. I hope this helps! Have a great rest of your day!

Novosadov [1.4K]2 years ago

4 0

Answer:

She paid a total of $92.93 at the salon

Step-by-step explanation:

Well it costed $72.60 but then she did the sales tax which is 8% of 72.60 and then she did a tip which was 20% of 72.60. 8% of $72.60 is 5.81 and 20% of 72.60 is 14.52. Then you would add them to get $20.33 and then you would add the $20.33 to the $72.60 to get $92.93. SO she paid a total of $92.93 at the salon.

$5.81 + $14.52 = $20.33

$20.33 + $72.60 = $92.93

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2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

<u>Slope:</u>

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

<u>Slope:</u>

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$