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3 years ago

Find the measure of b. (Explain how you found it please!)

Mathematics

1 answer:

Allisa [31]3 years ago

5 0

Answer:

125 deg

Step-by-step explanation:

Keep these three rules in mind:

1) A central angle (vertex is the center of the circle) has the same measure as the arc it intercepts.

2) The measure of an inscribed angle (vertex is point on circle) is half the measure of the intercepted arc.

3) Opposite angles of a rectangle inscribed in a circle are supplementary.

110 deg is a central angle.

By rule 1), the arc intercepted by the central angle 110 deg also measures 110 deg.

a is an inscribed angle that intercepts an arc of 110 deg.

By rule 2), the measure of an inscribed angle is half the measure of the intercepted arc.

angle a measures 55 deg.

Rule 3) Angles a and b are supplementary.

a + b = 180

55 + b = 180

b = 125

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Read 2 more answers

Leah is creating satin bows for a wedding. From a 15-meter-long ribbon, she first cuts a piece meters long. Then she cuts a piec

GrogVix [38]

This question is incomplete

Complete Question

Leah is creating satin bows for a wedding. From a 15-meter-long ribbon, she first cuts a piece 3 4/9 meters long. Then she cuts a piece 6 5/9 meters long from the remaining ribbon. How much ribbon does Leah have left?

A.) -12 meters

B.) -5 meters

C.) 5 meters

D.) 12 meters

Answer:

C.) 5 meters

Step-by-step explanation:

From a 15-meter-long ribbon, she first cuts a piece 3 4/9 meters long. Then she cuts a piece 6 5/9 meters long from the remaining ribbon.

Step 1

3 4/9 meters + 6 5/9 meters

Least Common Denominator = 9

(3+ 6) + [ 4/9 + 5/9)

9 + [4 + 5/9]

9 + [9/9]

9 + 1

= 10 meters

This means, the total number of ribbons cut is 10 meters

The amount of ribbon Leah has left =

Initial length of ribbon - Amount of ribbon cut

= 15 meters - 10 meters

= 5 meters

Hence, Leah has 5 meters long of ribbon left

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