Carolyn was asked to solve the following system of equations. Her work is shown. Problem: 3x – 2y = 7 y = x + 2 Carolyn's Work: Step 1 3x – 2(x + 2) = 7 Step 2 3x – 2x + 4 = 7 Step 3 x + 4 = 7 Step 4 x = 3 Step 5 Step 6 y = x + 2 y = 3 + 2 y = 5 (3,5) What error did Carolyn make? Identify her mistake and explain the error.

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2