Answer:
15
Step-by-step explanation:
Answer:
m∠D = 32°
Step-by-step explanation:
From the figure attached,
In ΔABE,
By the property of a triangle,
m∠AEB + m∠ABE + m∠AEB = 180°
14° + 45° + m∠AEB = 180°
m∠AEB = 180° - 59°
m∠AEB = 121°
Since, m∠AEB = m∠CED = 121° [Vertical angles]
Similarly, in triangle CDE,
m∠ECD + m∠CED + m∠EDC = 180°
27 + 121 + m∠CDE = 180
m∠CDE = 180 - 148
m∠D = 32°
As requested, let's call the number of books owned by Frank as .
If Frank were to double the number of books that he now owns, he would have books. In fact, doubling a certain number means to multiply it by 2.
This quantity (the double of books Frank has) is greater than the number of books Mary has, which is 250. So, the answer is
In case you need it, the solution is
Z + Y = a right angle so need to equal 90 degrees:
Find Z & Y:
2b + 6 + 3b -1 = 90
5b +5 = 90
5b = 85
b = 85/5
b = 17
Z = 2(17) +6 = 34+6 = 40 degrees
Y = 3(17) - 1 = 51 - 1 = 50 degrees
Y & W make a straight line so need to equal 180:
W = 180 - 50 = 130 degrees.
Z & X make a straight line so need to equal 180:
X = 180 - 40 = 140 degree.
Answer:
The geometric mean of the measures of the line segments AD and DC is 60/13
Step-by-step explanation:
Geometric mean: BD² = AD×DC
BD = √(AD×DC)
hypotenuse/leg = leg/part
ΔADB: AC/12 = 12/AD
AC×AD = 12×12 = 144
AD = 144/AC
ΔBDC: AC/5 = 5/DC
AC×DC = 5×5 = 25
DC = 25/AC
BD = √[(144/AC)(25/AC)]
BD = (12×5)/AC
BD= 60/AC
Apply Pythagoras theorem in ΔABC
AC² = 12² + 5²
AC² = 144+ 25 = 169
AC = √169 = 13
BD = 60/13
The geometric mean of the measures of the line segments AD and DC is BD = 60/13