Answer:
The measure of ∠QML is 90°
The measure of ∠PMN is 117°
Step-by-step explanation:
In circle O:
- MQ is a diameter
- LN is a tangent to circle O at point M
- PM and RQ are secants
- m∠PMO is 27°
- m∠MQR is 42
∵ MQ is a diameter of circle O
∵ LN is a tangent to circle O at point M
- A diameter is perpendicular to a tangent at the point of
contact between them (one of end-point of the diameter)
∴ QM ⊥ LN at point M
∴ m∠QML = m∠QMN = 90°
The measure of ∠QML is 90°
∵ m∠PMN = m∠PMO + m∠QMN
∵ m∠PMO = 27° ⇒ given
∵ m∠QMN = 90° ⇒ proved
∴ m∠PMN = 27 + 90
∴ m∠PMN = 117°
The measure of ∠PMN is 117°
No fewer than four female volunteers: x≥ 4.
A comedian needs up to ten volunteers: x+y ≤10.
y≥0
Answer:
Choice B is correct
Step-by-step explanation:
The Interquartile Range (IQR) for Florida, 11, is greater than the IQR for Australia, 4.
The spread of a data set is a measure of the dispersion or variability of the data set. The spread can be measured by various statistical quantities depending on the nature of the data (skewed or symmetric);
The IQR
Variance
Standard Deviation
Range
A box plot is a graphical representation of the five number summary;
The minimum, first quartile, median, third quartile, and the maximum value in that order.
The IQR is defined as;
third quartile - first quartile
With this definition, the Interquartile Range (IQR) for Florida is;
28 - 17 = 11
while the Interquartile Range (IQR) for Australia is;
14 - 10 = 4
Therefore, the Interquartile Range (IQR) for Florida, 11, is greater than the IQR for Australia, 4.
Answer:
step by step:
3x+5=-2
move constant to the right-hand side and change it's sign
3x=-2-5
Calculate the difference
3x=-7
Divided both sides of the equation by 3
Answer: 72 pesos.
Step-by-step explanation:
Supongamos que al principio tenias X, donde X representa la cantidad de dinero que tenias en un principio.
Gastaste:
X/3 en comida
X/8 en pasaje.
Entonces el gasto total es:
X/3 + X/8 = X*(1/3 + 1/8) = X*(11/24)
Entonces el dinero que te queda es:
X - X*(11/24) = X*(13/24) = 39 pesos.
X = (24/13)*39 pesos = 72 pesos
Al principio tenias 72 pesos.
