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Marina CMI [18]
1 year ago
14

PLS HELP GIVING 11 POINTS

Mathematics
2 answers:
Svetradugi [14.3K]1 year ago
8 0

Answer:

3. 40 4. 132

Step-by-step explanation:

you multiply the length and the width

Virty [35]1 year ago
5 0

Answer:

3. 40. 4. 132

Step-by-step explanation:

You find the area by doing base x height so 10 x 4 is 40 and 12 x 11 is 132.

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2 years ago
Given: measure of arc ED = 50° m∠EDK = 80° Find: ∠DSK
svetoff [14.1K]

Answer:

75°

Step-by-step explanation:

∠ESK is the supplement of ∠EDK, so is 100°. ∠ESD = 1/2·arc ED, so is 25°. Since ...

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100° = 25° + ∠DSK . . . . fill in known values

75° = ∠DSK . . . . . . . . . . subtract 25°

_____

Regarding opposite angles of an inscribed quadrilateral

Chord EK divides the 360° circle into two arc: major arc EDK and minor arc ESK. The sum of those arcs is 360°. Each of the inscribed angles that intercepts those arcs has half the measure of the arc. That is, ∠ESK intercepts arc EDK, so has half its measure. Likewise, ∠EDK intercepts arc ESK, so has half its measure. The sum of those opposite angles will be the sum of half the measures of the arcs, so half the sum of the arcs, or 1/2·360° = 180°.

This is why we can say ∠ESK is the supplement of ∠EDK.

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