Answer:
The sale price is ![\$134.75](https://tex.z-dn.net/?f=%5C%24134.75)
The expression is ![\$175(0.77)](https://tex.z-dn.net/?f=%5C%24175%280.77%29)
Step-by-step explanation:
we know that
The sale price is equal to subtract the discount price from the original price
The discount price is equal to multiply the original price by the percent discount in decimal form
Let
x ----> the sale price
y ---> discount price
----> percent discount in decimal form
![y=\$175(0.23)=\$40.25](https://tex.z-dn.net/?f=y%3D%5C%24175%280.23%29%3D%5C%2440.25)
![x=\$175-y](https://tex.z-dn.net/?f=x%3D%5C%24175-y)
substitute
![x=\$175-\$40.25=\$134.75](https://tex.z-dn.net/?f=x%3D%5C%24175-%5C%2440.25%3D%5C%24134.75)
therefore
the expression is
![175-0.23(175)\\175(1-0.23)\\175(0.77)](https://tex.z-dn.net/?f=175-0.23%28175%29%5C%5C175%281-0.23%29%5C%5C175%280.77%29)
Hey There!!
The answer to this is: A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Which statement about the quadrilateral is true?" Line BC is parallel to line AD because their slopes is equal i.e. (0 - 0) / (7 - 2) = (5 - 5) / (8 - 3) which gives 0 / 5 = 0 / 5 giving that 0 = 0. We check whether line AB is parallel to line CD. Slope of line AB is given by (0 - 5) / (2 - 3) = -5 / -1 = 5. Slope of line CD is given by (5 - 0) / (8 - 7) = 5 / 1 = 5 We have been able to prove that the opposite sides of the quadrilateral are parallel which means that the quadrilateral is not a trapezoid. Next we check whether the length of the sides are equal. Length of line AB is given by sqrt[(0 - 5)^2 + (2 - 3)^2] = sqrt[(-5)^2 + (-1)^2] = sqrt(25 + 1) = sqrt(26) Length of line BC is given by sqrt[(0 - 0)^2 + (7 - 2)^2] = sqrt[0^2 + 5^2] = sqrt(25) = 5 Length of line CD is given by sqrt[(5 - 0)^2 + (8 - 7)^2] = sqrt[5^2 + 1^2] = sqrt(25 + 1) = sqrt(26) Length of line DA is given by sqrt[(5 - 5)^2 + (8 - 3)^2] = sqrt[0^2 + 5^2] = sqrt(25) = 5 Thus, the length of the sides of the quadrilateral are not equal but opposite sides are equal which means that the quadrilateral is not a rhombus. Finally, we check whether adjacent lines are perpendicular. Recall the for perpendicular lines, the product of their slopes is equal to -1. Slope of line AB = 5 while slope of line BC = 0. The product of their slopes = 5 x 0 = 0 which is not -1, thus the adjacent sides of the quadrilateral are not perpendicular which means that the quadrilateral is not a rectangle. Therefore, ABCD is a parallelogram with non-perpendicular adjacent sides. Thus, For (option A).
Hope It Helped!~ ♡
ItsNobody~ ☆
Answer:
Step-by-step explanation:
1+1=2
1+3=4
3+3=6
3+5=8
3+7=10