If δabc ≅ δfde, which of the following statements is true?
a) ∠a ≅ ∠e
b) ∠b ≅ ∠f
c) ∠a ≅ ∠d
d) ∠b ≅ ∠d

Option D) ∠B ≅ ∠D

Step-by-step explanation:

we know that

If two triangles are congruent, then the corresponding sides and the corresponding angles are congruent

so

If ΔABC ≅ ΔFDE

the corresponding angles are

∠A and ∠F

∠B and ∠D

∠C and ∠E

so

∠A ≅ ∠F

∠B ≅ ∠D

∠C ≅ ∠E

therefore

The statement that is true is ∠B ≅ ∠D

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

fjfjfhdhdhdhjjdjdjdjdjjd thats the answers

step-by-step explanation: