Answer:
40.5
Step-by-step explanation:
Since QS is an angle bisector then PQs and SQR are similar. Using the similarity theorem;
PQ/PS = QR/SR
45/20 = x/18
Cross multiply
20x = 45 * 18
20x = 810
x = 810/20
x = 40.5
Hence the value of x is 40.5
The answer would be B, which is negative two.
Answer:
(2,0)
Step-by-step explanation:
Answer:
m∠2 = 78°
Step-by-step explanation:
Two lines 'l' and 'm' are parallel and another line 'n' is a transverse.
Since ∠2 and ∠3 are the consecutive interior angles,
Therefore, sum of these angles will be 180°.
m∠2 + m∠3 = 180°
(18x + 6)° + (21x + 18)° = 180°
(18x + 21x) + ( 6 + 18) = 180
39x + 24 = 180
39x = 180 - 24
39x = 156
x =
x = 4
Since, m∠2 = (18x + 6)°
By substituting the value of x = 4,
m∠2 = (18×4) + 6
= 72 + 6
= 78°
Therefore, measure of angle 2 is 78°.
Answer:
30.4%
Step-by-step explanation:
Probability that the 5 chosen are not defective = (1 - 0.07)^5
= 0.93^5
= 0.696
So the probability that there is at least one defective = 1 - 0.696
= 0.304
= 30.4 %