Answer:
NO = 23
Step-by-step explanation:
ML and NO are equal. The property that creates that is SAS. The sides come from the Radii. The enclosed angle is given.
ML = NO
7x - 12 = 3x + 8 Subtract 3x from both sides
7x - 3x - 12 = 3x-3x +8 Combine
4x - 12 = 8 Add 12 to both sides
4x-12+12= 8+12 Combine
4x = 20 Divide by 4
4x/4 = 20/4
x = 5
Now you want to know what 3x + 8 =
3(5) + 8
15 + 8
23
Answer:
100 resident/km
Step-by-step explanation:
In order to find the population density, we have to calculate the area of the township first.
We know that:
L = length = 5 km
W = width = 4 km
So the area of the township is
A=L\cdot W = 5 \cdot 4 = 20 km^2A=L⋅W=5⋅4=20km
2
Now we can find the population density by using
d=\frac{N}{A}d=
A
N
where N is the number of residents, and A is the area.
Substituting N = 2000, we find:
d=\frac{2000}{20}=100 res./km^2d=
20
2000
=100res./km
2
so, 100 residents per kilometer squared
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
Slope is equal =
- coefficient of x / coefficient of y
slope = -6/12 = -1/2
D option is correct
