Need help with these two questions 31.
Given: AB || DC , AD || BC
Prove: ΔABC ≅ ΔCDA
Statements Reasons
1. AB || DC 1. Given
2. ∠BAC ≅ ∠DCA 2.
3. AD || BC 3. Given
4. ∠ACB ≅ ∠CAD 4.
5. AC ≅ AC 5.
6. ΔABC ≅ ΔCDA 6.

i dont know if this is right but i put

31)

2. alternate angles

4. alternate angles

5. reflexive property

6. ASA

32)

1. DEC, EDC, DC

2. AAS

3. def. of congruent triangles

4. ACE

5. def. of isosceles triangle

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)