The difference in age between Brita and her daughter Eva is 30 years. The sum or their ages is 118. How old is Eva?
1 answer:
Answer: 44 years
Step-by-step explanation:
Let Brita's age be x and the daughter's age be y , then from the first statement :
From the second statement :
solving the resulting linear equation , add the two equations , we have
substitute 74 into equation 1 to find the value of y
Therefore :
Eva = 44 years
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Answer:
Therefore, HL theorem we will prove for Triangles Congruent.
Step-by-step explanation:
Given:
Label the Figure first, Such that
Angle ADB = 90 degrees,
angle ADC = 90 degrees, and
AB ≅ AC
To Prove:
ΔABD ≅ ΔACD by Hypotenuse Leg theorem
Proof:
In Δ ABD and Δ ACD
AB ≅ AC ……….{Hypotenuse are equal Given}
∠ADB ≅ ∠ADC ……….{Each angle measure is 90° given}
AD ≅ AD ……….{Reflexive Property or Common side}
Δ ABD ≅ Δ ACD ….{By Hypotenuse Leg test} ......Proved
Therefore, HL theorem we will prove for Triangles Congruent.
