Answer + Step-by-step explanation:
1) D be the symmetric of B with respect to C then CD = BC
A the symmetric of C with respect to B then AB = BC
We obtain :
CD = BC
AB = BC
Then AB = CD
2) m∠SBA = 180 - SBC = 180 - SCB = m∠SCD
3) we have :
BA = CD
BS = CS
m∠SBA = m∠SCD
Then
the triangles SBA and SCD are congruent
4)
the triangles SBA and SCD are congruent Then SA = SD
Therefore SAD is an isosceles triangle.
Answer: x > 3
Step-by-step explanation:
We have the inequality:
-4*(2*x - 7) < 10 - 2*x
We want to find the possible values for x.
first, we expand the left side.
-8x + 28 < 10 - 2x
now we want to have all the terms with x in one side and the terms without x in the other side.
-8x + 2x < 10 - 28
-6x < -18
now we divide both sides by -6, as we divide by a negative number, the direction of the inequality changes:
x > 18/6 = 3
x > 3
This means that x must be larger than 3.
Answer:
C. -13
Step-by-step explanation:
Solve for g(x) by replacing x with each domain value in the set. Solving for g(x) will give you these numbers:
{20, 2, -4, -13}
-13 is the only value that appears in the range set and in the multiple choice solutions. Therefore, the answer is C. -13
