Vlad tried to solve an equation step by step.
2 answers:
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Answer:
∠EGB and ∠AGF are congruent;
Transitive Property of Equality
Step-by-step explanation:
The vertical angles theorem is about the angles that are opposite to each other. These angles are formed when two lines cross each other
Vertical angles are congruent i.e their measures are equal
Look at the attached graph
Given:
AB // CD
E , G , H , F are col-linear
The line which contains points E , G , H , F is a transversal for the parallel lines AB and CD
∵ AB and EF intersected at point G
∴ m∠EGB = m∠AGF ⇒ by the vertical angles theorem
When lines AB and EF intersected at G they formed opposite angles like angles EGB and AGF, then angles EGB and AGF are congruent ( vertical angle theorem)
∵ AB // CD and EF is a transversal
∴ m∠AGF = m∠CHF (corresponding angles theorem)
Transitive Property of Equality: if one angle is equal to two other angles, then the two other angles are equal
Therefore, If a = b and b = c, then a = c
∵ m∠EGB = m∠AGF
∵ m∠AGF = m∠CHF
∴ m∠EGB = m∠CHF (transitive property theorem)
∠EGB and ∠AGF are congruent; Transitive Property of Equality
Answer:
The height of Julio greater than the height of Frieda .
Step-by-step explanation:
Given height as :
The height of Frieda = 5 ft
The height of Julio = 5 ft
So, The height of Frieda = 5
= 5 +
=
= feet
∴ The height of Frieda = 5.25 feet
And The height of Julio = 5 ft
So, The height of Julio = 5
= 5 +
=
= feet
∴ The height of Julio = 5.83 feet
Since 5.83 feet 5.25 feet
So the height of Julio the height of Frieda
Hence The height of Julio greater than the height of Frieda . Answer