Find the measure of the missing angle in the kite , given kite ADCB with m < BAD = 46 degree and m < ABC = 114 degree find
m
1 answer:
Answer:
m∠BCA = 43°
Step-by-step explanation:
ABCD is a kite having m∠BAD = 46° and m∠ABC = 114°
∠BAD and ∠BCA are the vertex angles of the kite.
Since, diagonal of kite bisect the vertex angles
m∠BAC = m∠DAC =
m∠BAC = 23°
By applying triangle sum theorem in ΔABC,
m∠ABC + m∠BCA + m∠BAC = 180°
114° + m∠BCA + 23° = 180°
m∠BCA = 180° - (114° + 23°)
= 43°
You might be interested in
Answer:
(a) The mean or expected value of <em>X </em>is 2.2.
(b) The standard deviation of <em>X</em> is 1.3.
Step-by-step explanation:
Let <em>X</em> = number of times the traffic light is red when a commuter passes through the traffic lights.
The probability distribution of <em>X</em> id provided.
The formula to compute the mean or expected value of <em>X </em>is:
The formula to compute the standard deviation of <em>X </em>is:
The formula of E (X²) is:
(a)
Compute the expected value of <em>X</em> as follows:
Thus, the mean or expected value of <em>X </em>is 2.2.
(b)
Compute the value of E (X²) as follows:
Compute the standard deviation of <em>X</em> as follows:
Thus, the standard deviation of <em>X</em> is 1.3.
Answer:
See attached
Step-by-step explanation:
