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°
The smaller number is 15 and larger number is 36.
Step-by-step explanation:
Let,
Smaller number = x
Larger number = y
According to given statement;
The sum of two numbers is 51.
x+y = 51 Eqn 1
Four times the smaller number is 24 more than the larger number.
4x = y+24
4x - 24 = y
y = 4x-24 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 5
Putting x=15 in Eqn 2
The smaller number is 15 and larger number is 36.
Keywords: linear equation, substitution
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A five year old can do algebra. They can if they are one of those VERY rare children. By rare children I mean their brains can process work faster than others making them able to understand it yet being so young. Also maybe because they had learned quickly they had found a algebra book and started to self teach themselves how to do that. Because if a child has a strong mind and can grasp things and learn for themselves they can learn it from looking at complete problems. Then solve them. I have seen kids be able to do math like this at a young age because they were quick at grasping the information. Also it could be that they had copied a basic formula for algebra off of a website or math book and just put their numbers in and started solving it like that. Also it could just be that they had learned it form a parent or older sibling because they were smart enough they were able to already be learning. Finally it could just be that they are a mathematical genius and were able to complete things like that themselves.
Answer:
1. X = -2/3
2. T= 0.3125
Step-by-step explanation:
