Answer:
The product lies between the numbers
Step-by-step explanation:
we have
Solve the product
we know that
therefore
the product lies between the numbers
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).
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ItsNobody~ ☆
Answer: The area of the enlargement is 315cm.
Step-by-step explanation:
If the picture has 35cm as the area and it has a length of 7cm then we can find the width by dividing the area by the length.
w= 35/7
w = 5
So in this care the width of the picture in 5cm.
Now is saying that the picture's length has been enlarge or been dilated to 21 cm. To get from 7cm to 21cm you will have to multiply by 3.
In this situation, we will have to multiply the original picture's width by 3 to find it enlargement.
w= 5*3 = 15
The width is 15cm and the length is 21cm so multiply them to find the area.
A = 15 * 21
A = 315cm
Option A
Explanation:
Given that Crisply clover is a popular vegetarian restaurant.
It introduced a new menu
The new menu had 20% more dishes than the previous menu
Let the dish as per previous menu = D
Now added for new dish 20% = (20/100)D
Simplify to get 1/5 D
Hence new menu has = D+(20/100)D
= D+1/5 D
Thus we find that option A is the right answer,
Answer:
2
Step-by-step explanation:
this is cop which means you have to divide y/x or in this case 4/8 which is 0.5