Answer:
Step-by-step explanation:
PQRS is a parallelogram with QR = 6 cm, QT = 3 cm and ∠PSR = 115°.
a). By the property of a parallelogram,
"Diagonals of a parallelogram bisect each other"
QT = TS
QS = 2(QT)
= 2(3)
= 6 cm
b). "Adjacent angles of a parallelogram are supplementary"
m∠PSR + m∠SRQ = 180°
115° + m∠SRQ = 180°
m∠SRQ = 65°
c). Since, SQ = SR = 6 cm
m∠QSR = m∠SRQ [Opposite angles of the equal sides of an isosceles triangle]
m∠QSR = 65°
By applying triangle sum theorem in ΔQSR,
m∠SQR + m∠QRS + m∠QSR = 180°
m∠SQR + 65° + 65° = 180°
m∠SQR = 50°
Answer:
Step-by-step explanation:
Use the Pyhagorean theorem:
We have
Substitute:
<em>subtract 49 from both sides</em>
Answer:
The value of P( A and B ) is 0.08.
Step-by-step explanation:
When two events are independent then the probability of both occurring is equal to the product of probabilities of both events individually,
That is, If X and Y are independent events,
Then, P(X∩Y) = P(X) × P(Y),
or P(X and Y) = P(X) × P(Y),
Here, P(A) = 0.40 and P(B) = 0.20,
Hence, P(A∩B) = P(A) × P(B)
= 0.40 × 0.20
= 0.08
When a () is right next to a number such as the problem you have it means to multiply. so 77 times -1 equals -77. so i'm not sure why -77 isn't one of your answer choices. maybe you mistyped something?
