7.00
Explanation:
Area of a circle
A
=
π
r
2
, where r is the radius.
Given
A
=
154
,
⇒
154
=
π
⋅
r
2
⇒
r
2
=
154
π
=
49.02
⇒
r
=
√
49.02
=
7.00
Answer: The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>Number of boys added: 18
</em>
- <em>Ratio of boys to girls: 5:4
</em>
So, the total number of boys is:
x + 18
Number of girls = y
Number of boys / number of girls = 5/4
(x+18) /y = 5/4
Solving for "y"
4 (x +18) =5 y
4x +72 = 5y
(4x +72) /5 = y
The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5
Answer:
because AC and BD bis => AX = XC; BX = XD
ΔAXD ≅ ΔCXB (SAS) because: AX = CX
DX = BX
m∠AXD = m∠BXC ( 2 opposing angles)
because ΔAXD ≅ ΔCXB (SAS)
=> AD = BC and m∠DAX = m∠BCX
because m∠DAX = m∠BCX => AD//BC
ABCD has AD = BC and AD//BC => ABCD is a parallelogram
Step-by-step explanation:
