Answer:
m∠QRT = 90°
m∠QRT = m∠SRT
Step-by-step explanation:
Triangle QST is isosceles with QT ≅ ST. In isoscels triangle QST, angles STR and RTQ are congruent.
RT is angle T bisector, so angles QTR and STR are congruent.
Consider two triangles QTR and STR. In these triangles:
By SAS postulate, these two triangles are congruent. Two congruent triangles have congruent corresponding sides, so
Angles QRT and SRT are supplementary (add up to 180°). Since these two angles are congruent, they have the same measure equal to
So, true options are
m∠QRT = 90°
m∠QRT = m∠SRT
Answer:
1980
We can choose 2 men from 9 in 36 in ways.
We can choose 2 women from 11 in 55 ways.
For any arrangement of 2 men there are 55 ways of combining them with 2 women => 55 * 36 = 1980 total ways.
If you're wondering how i got the numbers i used the combination formula:
C(n, k) =
Answer:
Step-by-step explanation:
From the table we have to:
Probability of syrup is 0.96
Probability of waffles and syrup is 0.32
P (Waffles | Syrup) = P (Waffles and syrup) / P (syrup)
So:
If this equality is met, the probabilities are dependent, if on the contrary
P (Wafles | Syrup) = P (Wafles) then are independent probabilities.
So we have to:
The probabilities are dependent.
