Answer: 51
Step-by-step explanation: (sqrt(2))^2 + 7^2
The squareroot and square cancel, leaving 2. 7^2=7*7=49
49+2=51
Answer:
The length in centimeters is (24-x) centimeters
Step-by-step explanation:
Mathematically, we are told that the equation linking the length, width and perimeter is as follows;
2(length) + 2(width) = 48
But in this case, we are told that the width is x centimeters
2(length) + 2(x) = 48
2(length) = 48-2x
length = (48-2x)/2
length = 24 - x
Answer:
The expression that matches the situation is 90.00 - 3x ⇒ 1st answer
Step-by-step explanation:
Let us solve the question
∵ You went to the mall with $90.00
→ That means the total money with you = $90.00
∴ The total money = 90.00 dollars
∵ You bought three shirts that cost x dollars each
∴ The cost of a shirt = $x
∴ The number of shirts = 3
→ Find the total cost of the three shirts
∴ The cost of the shirts = 3 × x
∴ The cost of the shirts = 3x dollars
∵ The money left = the total money - the cost of the shirts
→ Substitute the value of total money and the cost of the shirts
∴ The amount of money left = 90.00 - 3x
∴ You have left with 90.00 - 3x dollars
∴ The expression matches the situation is 90.00 - 3x dollars
Answer: Mark has 28 marbles while Don has 85 marbles.
Step-by-step explanation:
Let x represent the number of marbles that Mark has.
Let y represent the number of marbles that Don has.
If Don has 1 more than 3 times the number of marbles Mark has, it means that
y = 3x + 1
The total number of marbles is 113. It means that
x + y = 113- - - - - - - - - - - - 1
Substituting y = 3x + 1 into equation 1, it becomes
x + 3x + 1 = 113
4x + 1 = 113
4x = 113 - 1 = 112
x = 112/4
x = 28
y = 3x + 1 = 3 × 28 + 1
y = 85
Answer:
Check explanation
Step-by-step explanation:
I'll give you my way of solving it and you can figure it out from there.
<CEA = <DEB due to vertical angles
AE = ED due to midpoint theorem
<CAD = <ADB due to alternating angles theorem
thus two triangles congruent due to ASA
