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°
(x2-y1)²+(2xy)1 =
x⁴-2x²y²+y⁴+4x²y² =
x⁴+2x²y²+y⁴=
(x²+y²)²
Answer: 4 miles per hour
Step-by-step explanation: Just divide 12 by 3 .-.
Answer:
x=14, y=37
Step-by-step explanation:
We know that (4y-10)° and 3x° are supplementary angles, meaning the total sum of the angles add up to 180°. (4y-10)° is also corresponding to the blank angle below (9x+12)°, making it a vertical angle. Since (4y-10)°=(9x+12)° because they are vertical angles, then that means we can solve for x:
Original Equation: (4y-10)°+3x°=180
New Equation: (9x+12)°+3x°=180
9x+12+3x=180
12x+12=180
12x=168
x=14
So x is 14
Because x=14, then y is:
4y-10+3(14)=180
4y-10+42=180
4y+32=180
4y=148
y=37
So y is 37
