Question

identify the conclusion of the following conditional statement: she will go to work if she recovers from her cold.
a) she doesnt recover from her cold.
b) she recovers from her cold.
c) she wont go to work.
d) she will go to work.
question 8 (5 points)
listen
which of the following is true for two complementary angles ∠rst and ∠tsu?
a) m∠rst = m∠tsu
b) m∠rst = ½ × m∠tsu
c) m∠rst + m∠tsu = 180°
d) m∠rst + m∠tsu = 90°

Explanation:

First Question (Conditional Statement)

A conditional statement "If \( p \), then \( q \)" has \( p \) as the hypothesis and \( q \) as the conclusion. The given statement "She will go to work if she recovers from her cold" can be rephrased as "If she recovers from her cold, then she will go to work." Here, "she recovers from her cold" is the hypothesis, and "she will go to work" is the conclusion. So the conclusion is "She will go to work."

Question 8 (Complementary Angles)

By definition, two angles are complementary if the sum of their measures is \( 90^\circ \). So for complementary angles \( \angle RST \) and \( \angle TSU \), \( m\angle RST + m\angle TSU = 90^\circ \). Option A is incorrect as complementary angles don't have to be equal. Option B is incorrect as there's no such fixed ratio. Option C is the definition of supplementary angles (sum to \( 180^\circ \)), not complementary.

Answer:

D) She will go to work.