Answer:
x=5
From the dashed lines on the two sides of this triangle, we can see that these two sides are congruent, or equal, to each other.
In geometry, if a triangle has two congruent sides, then we can call it a <em>isosceles triangle</em>.
In an isosceles triangle, the corners opposite the congruent sides are also congruent, meaning, that the angle measures of this triangle are: 88, 9x+1, and 9x+1.
We also know that angles in a triangle add up to 180 degrees.
So, we have: 88+(9x+1)+(9x+1) = 180
Simplifying: 18x + 2 = 92
Solving: 18x = 90, so x=5
Hope this helps!
I think the domain is -1 and the range is 2. You may want to double check though.
All students in each grade because it should not be limited based on gender or if they like social studies or not.
For the answer to the questions above,
A) Parrots are following a Geometric Progression of 15% increase.
20(1.15), 20(1.15)², 20(1.15)³,
Function = 20(1.15)^n Where n is at the end of year, n =1, 2, 3, ..
Snakes are increasing by 4.
28, 32, 36,....
Function = 24 + 4n n = number of end year, n =1, 2, 3,...
<span>B) After 10 years: </span>
Parrot = 20(1.15)¹⁰ = 80.91115471
Snakes = 24 + 4(10) = 64
<span>C) After what time they are the same: </span>
We use trial and error:
Test: n 20(1.15^n) (24 + 4n)
1 23 28
2 26.45 32
<span> 3 30.41 36 </span>
4 34.98 40
5 40.23 44
6 46.26 48
7 53.20 52
8 61.18 56
9 70.36 60
After year 7, the Parrots increases far more.
<span>At year 7 they are roughly the same.</span>
18=1,2,3,9,18
37=1,37
48=1,2,3,16,24,12,4,6,8,48
Prime no. is a number that is divisible only by itself and 1
So, here 37 is a prime no.
18 and 48 are composite no.s