Given that El bisects ZCEA, which statements must be
1 answer:
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
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J+S=24 and J=S+6 represents the relationship between ages.
John is 15 years old and Sally is 9 years old.
Step-by-step explanation:
Let,
John's age = J
Sally's age = S
According to given statement, the sum of their ages is 24;
Eqn 1
John is 6 years older than Sally means we will add 6 in Sally's age;
Eqn 2
Putting value of J from Eqn 2 in Eqn 1;
Dividing both sides by 2
Putting S=9 in Eqn 2
J+S=24 and J=S+6 represents the relationship between ages.
John is 15 years old and Sally is 9 years old.
Keywords: linear equation, substitution method
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