Answer:
The measure of arc SQ is 95° ⇒ (1)
Step-by-step explanation:
- The measure of any circle is 360°
- The measure of the subtended arc to an inscribed angle is twice the measure of this angle
In the given circle
∵ S lies on the circumference of the circle
∴ ∠QSR is an inscribed angle
∵ ∠QSR is subtended by arc QR
→ By using the 2nd rule above
∴ m arc QR = 2 × m∠QSR
∵ m∠QSR = 95°
∴ m arc QR = 2 × 95
∴ m arc QR = 190°
→ By using the 1st rule above
∵ m of the circle = m arc QR + m arc SQ + m arc SR
∵ m arc SR = 75° and m arc QR = 190°
→ Substitute them in the equation above
∴ 360 = 190 + m arc SQ + 75
→ Add the like term in the right side
∴ 360 = 265 + m arc QS
→ Subtract 265 from both sides
∵ 360 - 265 = 265 - 265 + m arc SQ
∴ 95° = m arc SQ
∴ The measure of arc SQ is 95°
Multiply the monthly payment amount by the number of payments, minus the amount borrowed.
Step-by-step explanation:
Linear equations. Make 2 new equations from the question. Name the first number as x and the second as y...
Answer:
Weight gain = 84 lb 5 oz
Average weight gain = 6 lb 5 oz
Step-by-step explanation:
lb means pounds
16 oz = 1 pound
Convert the weight to pounds
Weight when she was born = 8 lb. 13 oz
= 8 pounds + 0.8125 pounds
= 8.8125 pounds
Present weight = 93 lb. 5
oz
= 93 pounds + 0.3125 pounds
= 93.3125 pounds
How much has she gained since birth
Weight gain = Present weight - Weight when she was born
= 93.3125 pounds - 8.8125 pounds
= 84.5 pounds
= 84 lb 5 oz
Weight gain = 84 lb 5 oz
what has been her average weight for each year if she is 13 year old
Average weight gain = Weight gain / 13
= 84.5 pounds / 13
= 6.5 pounds
= 6 lb 5 oz
Average weight gain = 6 lb 5 oz
Answer:
- triangle
- square
- hexagon
- dodecagon
Step-by-step explanation:
The 12 points marked can be divided into this many equal-size groups:
3, 4, 6, 12
so the figures that can be constructed are ...
- triangle . . . . connects every 4th mark
- square . . . . . connects every 3rd mark
- hexagon . . . .connects every other mark
- dodecagon . . connects every mark
_____
12 is also divisible by 1 and 2, but the minimum number of vertices in a regular polygon is 3.
