A child designs a flag in the shape of a rhombus, as shown in the diagram below. Which expression can be used to determine the s

Solution:

x=8

Detailed explanation:

This isosceles triangle consists of two right triangles with sides equal to 8,, and y

Considering we possess two sides of a right triangle, determining the third side can be achieved using the Pythagorean Theorem

Because it is an isosceles triangle, these two right triangles are the same, thus x=2y

Hence, x=2(4)=8

Answer:

F' = (7, 6)

R' = (-1, 7)

I' = (-2, -5)

O' = (6, -6)

Step-by-step explanation:

The reflection rule across the y-axis states that (x, y) ---> (-x, y). Thus, all x coordinates must be converted to their negative counterparts. The -7 from F becomes 7, the 1 from R becomes -1, the 2 from I turns into -2, and the -6 from O changes to 6.

Answer:

x = 11.33 years

Step-by-step explanation:

The equation for rainbow smelt is Y1 = −19.76x + 227

For bloater fish, the equation is Y2 = –92.57x + 1052

To find where these populations are equal:

–19.76x + 227 = –92.57x + 1052

Combine like terms:

-19.76x + 92.57x = 1052 - 227

72.81x = 825

Now divide by 72.81:

x = 825 / 72.81

Thus,

x = 11.33 years