Ifx < 5 and x > c, give a value of c such that there
are no solutions to the compound inequality.
explain why there are no solutions

For c=5 there are not solutions for the compound inequality

Step-by-step explanation:

we know that

In the compound inequality

-----> inequality A

-----> inequality B

The solution of the system of inequalities must satisfy inequality A and must satisfy inequality B

so

If c=5

then

There is no solution that satisfies both inequalities simultaneously.

therefore

For c=5 there are not solutions for the compound inequality

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.