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Answer:
4 goats
Step-by-step explanation:
Let us represent
Number of quails = x
Number of goats = y
Quails have 2 legs
Goats have 4 legs
Hence:
There are 6 animals in the pen some are quails and some are goats
x + y = 6...... Equation 1
x = 6 - y
if there are 20 legs in all how many quails
2x + 4y = 20..... Equation 2
We substitute 6 - y for x in Equation 2
2(6 - y) + 4y = 20
12 - 2y + 4y = 20
Collect like terms
- 2y + 4y = 20 - 12
2y = 8
y = 8/2
y = 4 goats
The number of goats there are 4 goats
Question: Given that BE bisects ∠CEA, which statements must be true? Select THREE options.
(See attachment below for the figure)
m∠CEA = 90°
m∠CEF = m∠CEA + m∠BEF
m∠CEB = 2(m∠CEA)
∠CEF is a straight angle.
∠AEF is a right angle.
Answer:
m∠CEA = 90°
∠CEF is a straight angle.
∠AEF is a right angle
Step-by-step explanation:
Line AE is perpendicular to line CF, which is a straight line. This creates two right angles, <CEA and <AEF.
Angle on a straight line = 180°. Therefore, m<CEA + m<AEF = m<CEF. Each right angle measures 90°.
Thus, the three statements that must be TRUE are:
m∠CEA = 90°
∠CEF is a straight angle.
∠AEF is a right angle
Answer:
1665 hertz
Step-by-step explanation:
30 x 3.33 = 1 (1 meter) so 500 x 3.33 = 1665 (1 meter of movement)
The correct answer is b), the probability of B occurring given A has occurred.