Step-by-step explanation:
PYTHAGORAS THEOREM

Answer:
185
Step-by-step explanation:
using calculator
B...<span>Triangles </span>2 and 3<span> are </span>rotations<span> of each other. </span>Triangle<span> 1 requires a </span>reflection<span>.</span>
Answer:
Part a) The measure of an exterior angle is 60°
Part b) The measure of an interior angle is 120°
Step-by-step explanation:
step 1
Find the value of x
we know that
A regular polygon has equal sides and equal interior angles
The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)
so

solve for x


step 2
Find the measure of an exterior angle
2x
substitute the value of x

step 3
Find the measure of an interior angle
4x
substitute the value of x

In this problem the regular polygon is a hexagon
Answer:
The exponential Function is
.
Farmer will have 200 sheep after <u>15 years</u>.
Step-by-step explanation:
Given:
Number of sheep bought = 20
Annual Rate of increase in sheep = 60%
We need to find that after how many years the farmer will have 200 sheep.
Let the number of years be 'h'
First we will find the Number of sheep increase in 1 year.
Number of sheep increase in 1 year is equal to Annual Rate of increase in sheep multiplied by Number of sheep bought and then divide by 100.
framing in equation form we get;
Number of sheep increase in 1 year = 
Now we know that the number of years farmer will have 200 sheep can be calculated by Number of sheep bought plus Number of sheep increase in 1 year multiplied by number of years is equal to 200.
Framing in equation form we get;

The exponential Function is
.
Subtracting both side by 20 using subtraction property we get;

Now Dividing both side by 12 using Division property we get;

Hence Farmer will have 200 sheep after <u>15 years</u>.