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°
Answer:
Step-by-step explanation:
A few suggestions:
Put the equations in y = mx + b format
create a table. choose some x and plug that in and solve for y
plot those point. connect the dots
Answer:
Step-by-step explanation:
yes the value of x and y of the intersection point is the solution.
Answer:
7x-5 = 9
x = 2
Step-by-step explanation:
Let x be the number
7x-5 = 9
Add 5 to each side
7x-5+5 = 9+5
Divide each side by 7
7x = 14
7x/7 = 14/7
x=2
Im not 100% sure but
A: 10
B: 5
C: 15
D: 30
for:
A: 30 x 1/3
B: 15 x 1/3
C: 5/ 1/3
D: 10/ 1/3
