Answer:
y = 2
Step-by-step explanation:
Step 1: Equation
1/2 ( 6 - y ) = y
Step 2: Distribute
3 - 1/2y = y
Step 3: Isolate the y
3 = 1.5y
Step 4: Divide
3/1.5 = y
Answer:
y = 2
Hope This Helps :)
Applying the segment addition postulate:
x = 2.75
AB = 6x = 6(2.75) = 16.5 units
BC = 8x + 1/4 = 8(2.75) + 1/4 = 22.25 units.
<h3>What is the Segment Addition Postulate?</h3>
Based on the segment addition postulate, since B lies between points A and C on a line segment, then:
AB + BC = AC
AC = 38 3/4
AB = 6x
BC = 8x + 1/4
Substitute
6x + 8x + 1/4 = 38 3/4 [segment addition postulate]
14x + 1/4 = 155/4
14x = 155/4 - 1/4
14x = (155 - 1)/4
14x = 154/4
14x × 4 = 154
56x = 154
x = 154/56
x = 2.75
AB = 6x = 6(2.75) = 16.5 units
BC = 8x + 1/4 = 8(2.75) + 1/4 = 22.25 units.
Learn more about the segment addition postulate on:
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The converse of the statement would be
"If x ≤ 7, then x² ≤ 49"
but this is false. Take x = -8; while it's true that -8 ≤ 7, the second inequality is not, since (-8)² = 64 is not smaller than 49.
Answer:
2
Step-by-step explanation: