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:
y = 15x + 30
Step-by-step explanation:
The $30 rental fee is a flat fee.
The $15 per day can be noted as 15x.
y = 15x + 30
Answer:
Slope = - 1/3
Step-by-step explanation:
Y2-Y1 / X2 - X1
Answer:
<h3>
HJ = 15</h3>
Step-by-step explanation:
To get the length of segment HJ if H lies at (-1,7) and J lies at (8,-5), we will use the formula for calculating the distance between two points as shown;
D = √(x₂-x₁)²+(y₂-y₁)²
From the coordinates x₁ = -1, y₁ = 7, x₂ = 8, y₂ = -5
HJ = √(8-(-1))²+(-5-7)²
HJ = √(8+1)²+(-12)²
HJ = √81+144
HJ = √225
HJ = 15
<em>Hence the length of segment HJ is 15 units</em>
I will go with B.
How the data spread out is measured by standard deviation. IQR is <span>measure of variability.</span>