Area = πr² ⇒
81π = πr² ⇒ 81 = r² ⇒ r = √81 = 9 in
<span>Circumference = 2</span>πr = 2*9*π = 18π in
The answer is 25 degrees.
This is how you solve the equation, first you must know that the straight like ABC=180, DBC is 130, so the remaining amount is 50 degrees, BE is a bisector of ABD which means it splits ABD right down the middle. So ABE+EBD=50 degrees, 25+25=50 since both sides MUST be equal in order for BE to be a bisector of ABD.
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Answer:
XY=8
Step-by-step explanation:
In △XYZ, XY=XZ
It is isosceles triangle whose equal sides are XY=XZ
We are given,
XY=2a
YZ=3a+1
XZ=5a-12
XY=XZ
So, 2a=5a-12
Solve for a,
2a-5a=-12
-3a=-12
a=4
Now we put a=4 into XY=2a
So, XY=2(4)=8
Answer: 1221
Step-by-step explanation:
Given : A 4-digit number is a palindrome .
If it has remainder 21 when you divide it by 100, then last two digits are 21.
So required palindrome = _ _ 21
since palindrome does not change if you write it backwards, so first two numbers should be reverse of 21 = 12
hence, the complete palindrome = 1221
So the number is 1221.
Answer:
B. 37 units
Step-by-step explanation:
DE = 4x + 1
AB = 11x - 25
DE is a midsegment of the ∆ABC
Therefore:
DE = ½(AB) => Triangle Midsegment Theorem
4x + 1 = ½(11x - 25)
2(4x + 1) = 11x - 25
8x + 2 = 11x - 25
Collect like terms
8x - 11x = -2 - 25
-3x = -27
-3x/-3 = -27/-3
x = 9
✔️DE = 4x + 1
Plug in the value of x
DE = 4(9) + 1 = 36 + 1
DE = 37
