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IceJOKER [234]
3 years ago
5

Half x + 10 equals quarter x + 54

Mathematics
1 answer:
IgorLugansk [536]3 years ago
5 0
½(x+10) = ¼(x+54)
Solving it

x/2 + 5 = x/4 + 13.5
x/2 - x/4 = 13.5 - 5
x/4 = 8.5
x = 8.5 × 4 = 34
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11111nata11111 [884]

The correct pair is option E, which is:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

<h3>What is the SAS Congruence Theorem?</h3>

The SAS theorems states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent included angles.

<h3>What is the Reflexive Property?</h3>

The reflexive property of geometry states that an angle or line will always be congruent to itself.

In the two column-proof, since FH = FH using the reflexive property, then both triangles are congruent to each other by the SAS congruence theorem.

The missing pair of reasons that completes the proof are:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

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brainly.com/question/2102943

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