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4 years ago

Can a Math expert please solve this and explain their answers. Thanks

Mathematics

1 answer:

Rudik [331]4 years ago

3 0

Answer:

B
152°
B
A

Step-by-step explanation:

The measure of an arc is twice the measure of the inscribed angle that subtends that arc. A tangent is a special case where the chord that is one leg of the inscribed angle has a length of zero.

1. Short arc LJ is 2a°. Short arc LK is 2b°. Then arc JLK is 2(a+b)°, and short arc JK is ...

arc JK = 360° -2(a +b)° . . . . . matches choice B

2. Long arc WY is twice the measure of "inscribed" angle WYZ, so is ...

long ard WY = 2(104°) = 208°

Then short arc WY is ...

arc WXY = 360° -208° = 152°

3. The arc measures are double those of the corresponding inscribed angles. We can add up the arcs around the circle:

(arc AB +arc BC) = 2×70° = 140° . . . inscribed angle relation

(arc BC +arc CD) = 2×98° = 196° . . . inscribed angle relation

arc AB + arc BC +arc CD +arc DA = 360° . . . . sum around the circle

Adding the first two equations with arc DA, we have ...

(arc AB + arc BC) +(arc BC +arc CD) +arc DA = 360° +arc BC

140° +196° +80° = 360° +arc BC

416° -360° = arc BC = 56° . . . . . matches choice B

4. Angle C and angle A are supplementary in this inscribed quadrilateral.

angle C = 180° -98° = 82° . . . . . matches choice A

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3 years ago

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1 year ago

A company manufactures a part for which there is a desired weight. There is a tolerance of N%, meaning that the range between mi

aleksandrvk [35]

Answer:

Step-by-step explanation:

(A) Determine what the tolerance is for the desired weight 97

The tolerance N% is equal to 1.5% of 97

1.5/100 × 97 = 1.455

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Upper limit = 97 + 1.455 = 98.455

(B) Place the vector values into two groups;

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95.5, -97.2, 96.2, 96.1

- Variables higher than 97

98.2, 100, 99.9, 99.8

1. Value 97 is within the tolerance. As a matter of fact, it is the desired weight.

2. Value 98.2 is within the tolerance

3. Value 95.5 is within the tolerance

4. Value -97.2 is far below the tolerance bracket or lower limit

5. Value 96.2 is within the tolerance

6. Value 100 is outside the tolerance

7. Value 99.9 is outside the tolerance

8. Value 99.8 is outside the tolerance

9. Value 96.1 is within the tolerance

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stealth61 [152]

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Step-by-step explanation:

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