Dennis and Eduardo are studying transformations using triangles. Triangle ABC and triangle DEF are plotted in a coordinate plane. Dennis notices that if he reflects triangle ABC across the y-axis and then translates it down 4 units, the result is triangle Def. Eduardo says that he can first translate triangle ABC down 4 units and then reflect it across the y-axis in order to get triangle Def. Is Eduardo correct? Explain your answer and tell whether triangle abc and def are congruent.

idk

step-by-step explanation:

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west