Answer:
Mean = 55.2
Step-by-step explanation:
Given data set: 113, 14, 23, 12, 114
To find the <u>mean</u> of a data set, <u>divide</u> the <u>sum</u> of all data values by the total <u>number</u> of data values:

Answer:
Step-by-step explanation:
Given: △ABC, BC>AC, D∈ AC , CD=CB
To prove: m∠ABD is acute
Proof: In ΔABC, the angle opposite to side BC is ∠BAC and the angle opposite to side AC is ∠ABC.
Now, it is given that BC>AC, then ∠BAC>∠ABC.. (1)
In ΔBDC, using the exterior angle property,
∠ADB=∠DBC+∠BCD
∠ADB=∠DBC+∠BCA
⇒∠ADB>∠BAC (2)
From equation (1) and (2), we get
∠ADB>∠BAC
⇒∠ADB>∠ABC
⇒DB>AB
Hence, m∠ABD is acute
Area of circle is πr^2
Diameter is given =20 cm
Radius r=d/2=20/2=10cm
A=3.14×100
A=314 cm^2
Y=-a
x=b
a^2x-b^2y/ab=a+b
ax-by=2ab
(50, 700)
The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry.