Is there enough information to conclude that the two triangles are congruent? if so, what is a correct congruence statement? question 18 options: yes;   δcab   ≅ δdac yes; δabc   ≅ δacd yes;   δacb   ≅ δacd no, the triangles cannot be proven congruent.

Yes,  Δ ACB  ≅ Δ ACD

Step-by-step explanation:

Since, Here ABD is a triangle in which AB = AD

Therefore, ABD is the isosceles triangle,

Also, AC is altitude of the  isosceles triangle ABD.

Therefore, AC will be the median of the triangle ABC ( By the property of isosceles triangle )

Thus, BC = CD

Now, In Δ ACB and Δ ACD,

AB ≅ AD (given)

CB≅CD ( Because CB= CD)

And, AC≅AC  ( Reflexive)

Therefore By SSS postulate of congruence,

Δ ACB ≅Δ ACD

Thus, Third Option is correct.

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!