<h3>
Answer: x = 25</h3>
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Explanation:
Add up the parallel sides, and divide by 2
x = (15+35)/2
x = (50)/2
x = 25
The midsegment is the average of the two parallel sides.
Answer:
A. x² +y² -6x -16y +48 = 0
Step-by-step explanation:
The standard-form equation for a circle centered at (h, k) with radius r is ...
(x -h)² +(y -k)² = r²
For your circle, this is ...
(x -3)² +(y -8)² = 5²
To put this in general form, you subtract the constant on the right, and eliminate parentheses:
x² -6x +9 +y² -16x +64 -25 = 0
x² +y² -6x -16y +48 = 0 . . . . . rearrange to descending powers of x, y
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:
brainly.com/question/2134445
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Answer:
x= −1/5y + 2/5
Step-by-step explanation:
Let's solve for x.
y=−5x+2
Step 1: Flip the equation.
−5x+2=y
Step 2: Add -2 to both sides.
−5x+2+−2=y+−2
−5x=y−2
Step 3: Divide both sides by -5.