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Art [367]
3 years ago
13

Radius CS bisects chord AG what is measure CGF?

Mathematics
1 answer:
Murrr4er [49]3 years ago
7 0

Answer:

m∠CGF=25°

Step-by-step explanation:

we know that

In a circle, a radius that bisects a chord is perpendicular to the chord

so

CS is perpendicular to AC

The triangle GFC is a right triangle

Remember that the sum of the measures of the interior angles in a triangle must be equal to 180 degrees

m∠CGF+m∠GFC+m∠GCF=180°

we have

m∠GFC=90°

m∠GCF=65°

substitute

m∠CGF+90°+65°=180°

m∠CGF+155°=180°

m∠CGF=180°-155°

m∠CGF=25°

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Step-by-step explanation:

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The length of a rectangle is 3cm more than twice the width. The perimeter is 84 cm. Find the dimensions .
blsea [12.9K]

Width of the rectangle is 13 cm and length is 29 cm.

<u>Step-by-step explanation:</u>

Step 1:

Given perimeter of the rectangle = 84 cm. Let the width be x, then the length of the rectangle = 2x + 3. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.

84 = 2(2x + 3 + x) = 2(3x + 3) = 6(x + 1) [taking 3 as common factor outside)

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∴ x = 13

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3 years ago
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