•sum of the angles in a triangle = 180°
•sum of the angle in a quadrilateral = 360°
•opposite angles are equal
•for two parallel lines and a transversal, corresponding angles are equal, and alternate angles are equal.
•If it already has an angle for a triangle subtract that by 180 and divide it by two you have the other two angle, if you already have two angles on a triangle add those together and subtract from 180 thats the last angle, same for a quadrilateral but you subtract by 360 instead.
<span>The model of the castle can only be made 2 diferent ways. one way is 71 cubes high and 1 cube wide and the other way is 71 cubes wide and 1 cube high.
71 is a prime number and it's only factors are 1 and 71.</span>
This is a linear equation or y=mx+c. Where y is the number of mosquitos at a particular month and x is the number of months. We know the initial population of the mosquitoes is c=20. They population doubles every month so this is the gradient, m=2. Therefore the equation for the growth of the mosquito population is:
y = 2x + 20.
So after x= 10 months the mosquito population will be,
y=2(10)+20= 40.
There will be 40 mosquitoes after ten months.
Answer:
There are a few solutions because there are some fractions and decimals between 8 and 10
Step-by-step explanation:
Let the unknown number be 'x'
If the number is greater than 8 and the same number is less than 10, this can be expressed as;
x>8 and x < 10
Note that if x>8, then 8<x
The resulting inequalities are now;
8<x and x<10
Combining both inequalities we have: 8<x<10
Since the inequality didn't tell us that the variable 'x' is equal to 8 and 10, this means that our solution falls between 8 and 10 and the value of integer that falls within this range is 9. Other values that falls within this range are decimals and fractions.
Therefore it can be concluded that there are a few solutions because there are some fractions and decimals between 8 and 10
