Multiply total students by 2/3 to find how many like math:
Like math = 120 x 2/3 = 240/3 = 80 total students like math
Multiply total students by 3/5 to find number of boys:
120 x 3/5 = 360/5 = 72 boys
A) number of girls = total students - boys = 120 -72 = 48 girls
B) from above 80 students like math
C) number of boys that like math = number of students that like math minus girls that like math: 80- 35 = 35 boys like math
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°
X^2 + x = 5
hope that helps
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Answer:
And 6th day after day before yesterday, that is, 17 January. So, we just need to add 6 to 17 to get the desired date. Thus, the date 3 days after tomorrow is 23rd January.
Step-by-step explanation:
hope it hlp
