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Sladkaya [172]
2 years ago
14

What can you conclude about the intersection of a chord and the radius that bisects it

Mathematics
1 answer:
IRINA_888 [86]2 years ago
4 0

Answer: The radius and the cord must be perpendicular to each other.

Step-by-step explanation:

A cord is a line from a point of circumference of a circle to another point of the circumference of the circle without passing through the centre.

A radius is a line from the centre of a circle to the circumference of the circle.

When the radius line intersect and bisects a cord of a circle, the radius and the cord must be perpendicular to each other.

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Determine if the two expressions are equivalent and
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  yes. Commutative Property of Addition

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Figure TUVS is a parallelogram.
poizon [28]

Angles T and V of the parallelogram are equal to 91°.

Calculating the Value of x

In the parallelogram TUVS, adjacent angles U and V are given as,

U = 4x+9

V = 6x-29

Since U and V are adjacent angles, and as per the properties of a parallelogram, sum of adjacent angles is equal to 180°.

4x+9 + 6x-29 = 180

10x - 20 =180

10x = 200

x = 20

Calculating the Angles of the Parallelogram

∠U = 4x + 9

∠U = 4(20) + 9

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∠V = 6x - 29

∠V = 6(20) - 29

∠V = 120 - 29

∠V = 91°

According to the properties of a parallelogram, opposite angles are of equal measure.

∴ ∠T = ∠V and ∠S = ∠U

⇒ ∠T = 91° and ∠S = 89°

Learn more about a parallelogram here:

brainly.com/question/1563728

#SPJ1

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72 divided by negative 9
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