For what values of x and y are the triangles congruent? A. x = 2, y = −3 B. x = −2, y = 3 C. x = 3, y = −2 D. x = −3, y = 2

x = 2, y = 1

Step-by-step explanation:

Find the diagram attached

If both triangles are congruent, then;

x = y+1 and

x+2 = 4y

Substitute 1 into 2;

y+1 + 2 = 4y

y - 4y = -1-2

-3y = -3

y = -3/-3

y = 1

Since

x = y+1

x = 1 + 1

x = 2

Hence (x,y) is (2, 1)

Note that calculation is based on the attached diagram

a)  8x^2 + 4x + 9

Step-by-step explanation:

To find the total number of red and pink geranium pots, we need to add the two expressions given for the number of pots for red and pink respectively.

x (7x - 2) + (x + 3)^2

Expanding x (7x - 2) gives (7x^2 - 2x)

Expanding (x + 3)^2 gives (x^2 + 6x + 9)

Adding the like terms in these two expanded expressions:

(7x^2 - 2x) + (x^2 + 6x + 9)

= 7x^2 + x^2 + 6x - 2x +9

8x^2 + 4x + 9