M < PQS + m < RQS = 180° because they are supplementary angles.
Therefore:
(3x + 3) + (x + 19) = 180
3x — 3 + x + 19 = 180
4x + 16 = 180
Subtract 16 from both sides
4x — 16 = 180 — 16
4x = 164
Divide both sides by 4:
4x/4 = 164/4
x = 41
Therefore, the correct answer is x = 41
Answer:
The volume of a cone is:
V=(hπr^2)/3, where h=height and r=radius
V=(7π4^2)/3
V=112π/3 ft^3
V≈117.29 ft^3 (to nearest hundredth of a cubic foot)
Step-by-step explanation:
Answer:
D. 73°
Step-by-step explanation:
The inside angles of a triangle always equal 180° so if we know that a right angle is already 90° we only need one more angle to know all of them:
1. 90° + 17° + ?° = 180
2. 90° + 17° = 107°
3. 180° - 107° = 73°
4. 90° + 17° + 73° = 180
5. XD
Answer:
y = -
x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = -
, thus
y = -
x + c ← is the partial equation
To find c , substitute (4, - 5) into the partial equation
- 5 = - 2 + c ⇒ c = - 5 + 2 = - 3
y = -
x - 3 ← equation of line
Julian is 24, Kira is 34. The total of both equals 58.