Question

Need help on 3/4 please help me fast please read it and help me !!!!!!!!!fast!!!!!!!

Answer 1

1. x = 31

2. 74

3. 14

4. x = y = 17

Explanation:

1. AB = JK

2x + 12 = 4x - 50

2x = 62

x = 31

2. 2(31) + 12 = 74

3. DE = AB

4y + 2 = 6y - 4

2y = 6

y = 3

AB = 6(3) - 4 = 14

4. Angle D = Angle A

5x + 2 = 87

5x = 85

x = 17

Angle C = Angle F

Angle F = 180 - 87 - 42 = 51

3y = 51

y = 17

Answer 2

Answers and Step-by-step explanations:

3. When we have congruent triangles, the corresponding sides are the same. Here, we know that ABC is congruent to DEC and since ED and AB are corresponding sides (my assumption), then they are equal. Set them equal:

4y + 2 = 6y - 4

2y = 6

y = 3

Plug this back into the equation for AB:

6 * 3 - 4 = 18 - 4 = 14

So, AB is 14 units.

4. Congruent triangles also have congruent corresponding angles. Here, angles ACB and DEF are congruent, while angles BAC and EDF are congruent. So, set them equal:

3y = 42

and

87 = 5x + 2

Then, y = 42/3 = 14 and x = (87 - 2)/5 = 85/5 = 13.

x = 13, y = 14

Hope this helps!