Answer:
y = 1
d = 4
Step-by-step explanation:
8y - 2d = 0 ---------------(I)
5y + 4d = 26 1/4
5y + 4d = 105/4 ------------------(II)
(I)*2 16y - 4d = 0
(II) <u>5y + 4d = 105/4</u> {add (I) &(II)}
21y = 105/4

Substitute y =1 in equation (I)
8*1 - 2d = 0
8 - 2d = 0
-2d = -8
d = -8/-2
d = 4
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
Learn more about the SAS theorem on:
brainly.com/question/2102943
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Answer:
20 years
Step-by-step explanation:
20 is the lowest common multiple of 5,4,2