Answer:
x = 7, arc DE = 198°
Step-by-step explanation:
Inscribed angles from the same arc are congruent.
∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus
12x + 15 = 3x + 78 ( subtract 3x from both sides )
9x + 15 = 78 ( subtract 15 from both sides )
9x = 63 ( divide both sides by 9 )
x = 7
Thus
∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°
The inscribed angle DCE is half the measure of its intercepted arc, thus
arc DE = 2 × 99° = 198°
We are asked to determine the unit multipliers in order for us to convert 630 square yards to into square inches. Well, first we need to convert square yards to square feet and secondly, we convert square feet to square inches.
square yards -> square feet -> square inches
We also take note the following:
1 yard = 3 feet
1 foot = 12 inches
The solution in converting the unit is shown below:
630 yards² * (3 feet / 1 yard)² = 5670 feet²
5670 feet² * (12 inches / 1 foot)² = 816,480 inches²
The answer is 816,480 inches².
Answer:
1/64
Step-by-step explanation:
The probability of landing on a 7 is 1/8.
The probability of landing on a 2 is 1/8.
Answer:
See below.
Step-by-step explanation:
7 ) 29.0
= 4 1/7
= 4.142857142857.........
The 142857 repeats itself without bounds.
