If a diameter intersects a chord of a circle at a perpendicular then the chord is bisected.
<h3>What is the relation between the chord and diameter of a circle?</h3>
- The segments of a circle whose endpoints are on its perimeter are called chords.
- A circle's diameter is the chord that passes across its center.
- The circle's longest chord equals its diameter.
- Any line that is perpendicular to a chord on the circle cuts it in half and goes through the center.
The solution to the problem:
A circle's chord is intersected perpendicularly by its diameter, which also passes through the center of the circle. The chord and diameter are perpendicular. Any line that is perpendicular to a chord on the circle and passes through its center divides it. The chord is divided equally by the diameter.
Therefore, the chord is bisected.
Learn more about diameter and chord at: brainly.com/question/12934647
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23; 20+4+9+ 28
he can estimate by rounding the numbers
24;19.99+4.19+8.50+27.75=
24.18+ 8.25+28=
24.18+36.25=
$60.43
Answer:
$74.34
Step-by-step explanation:
<h3>
Answer: 16 miles</h3>
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Explanation:
x = time in hours spent going upstream
5-x = remaining time in hours spent going downstream
Those two quantities add to 5 hours total.
Let's find the expression for how far the fisherman went upstream
distance = rate*time
d = r*t
d = 2x
Do the same for the downstream portion
d = r*t
d = 8(5-x)
d = 40-8x
The values of d refer to the same distance because he came back to the starting point.
Set those right hand sides equal to one another and solve for x.
2x = 40-8x
2x+8x = 40
10x = 40
x = 40/10
x = 4
5-x = 5-4 = 1
He spent 4 hours going upstream, and the remaining 1 hour coming back downstream.
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If he spent 4 hours going upstream at 2 mph, then he traveled d = r*t = 2*4 = 8 miles.
The remaining 1 hour going downstream at 8 mph means he traveled d = r*t = 8*1 = 8 miles, which matches with the previous result. This confirms we have the correct one-way distance of 8 miles.
Therefore, the total round trip distance is 2*8 = 16 miles