1. 3x-5<19
3x-5+5<19+5
3x<24
3x/3<24/3
x<8
2. -2x+12<-4
-2x+12-12<-4-12
-2x<-16
-2x/-2>-16/-2
x>8
3. Because the numbers are positive when divided.
4. The inequality sign is reversed because the 2nd to last step is divided by by a negative number. (This is also the same for multiplication)
5. -7d+8>29
-7d+8-8>29-8
-7d/7>21/-7
d>-3
6.12-3b<9
12-12-3b<9-12
-3b/-3>-3/-3
b>1
7.z/7-6=>-5
z/7-6+6=>-5+6
z/7*7=>1*7
z=>7 (what grade are you in?!)
Answer:
The correct option is second one i.e 24 units.
Therefore the height of the triangle is

Step-by-step explanation:
Given:
An equilateral triangle has all sides equal.
ΔMNO is an Equilateral Triangle with sides measuring,

NR is perpendicular bisector to MO such that
.NR ⊥ Bisector.
To Find:
Height of the triangle = NR = ?
Solution :
Now we have a right angled triangle NRM at ∠R =90°,
So by applying Pythagoras theorem we get

Substituting the values we get

Therefore the height of the triangle is

Answer:
$13.10
Step-by-step explanation:
Concard $3.00 2.1 $6.30
Osband $3.00
Green Anjou $4.00
Bartlett $2.00 3.4 $6.80
Red Anjou $5.00
TOTAL = $13.10
The population of a town has approximately doubled every 17 years since 1950.
the equation P=
where Po is the population of the town in 1950, is used to model the population, P, of the town t years after 1950.
When t=17 yrs
P=2
for 1 year
The equation becomes
P =
-------------(1)
Our original equation is
----------------------------------(2)
equating expression 1 and 2

Cancelling
from both sides we get

t/17=k
⇒k=t/17 is the solution.