Answer:
(a) So the top of the hill is 365 feet above sea level.
(b) Checkpoint 5 is 185 feet higher than checkpoint 2.
Step-by-step explanation:
<u>Solution for (a):</u>
<u />
Checkpoint 2 is -218 feet above sea level.
The top of a hill rises 583 feet above Checkpoint 2.
The altitude of the top of the hill = -218 + 583 = 365
So the top of the hill is 365 feet above sea level.
<u>Solution for (b):</u>
<u />
Checkpoint 2 is -218 feet above sea level.
Checkpoint 5 is -33 feet above sea level.
Checkpoint 5 is -33 - -218 = 185 feet higher than checkpoint 2.
1)
I:y=3x-4
II:9x-3y=14
substitute y into II:
9x-3*(3x-4)=14
9x-9x+12=14
12=14
this is obviously not equal so there is no solution, the lines are parallel
2)
I:y=4x+6
II:5x-y=6
substitute y into II:
5x-(4x+6)=6
5x-4x-6=6
x=12
substiute x into II:
5*12-y=6
-y=6-60
-y=-54
y=54
the solution is (12,54)
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>.
Answer:
a. Portrays the case of two triangles being equal if two angles and the line between them are equal
b. The case of two triangles being equal when two of their lines are equal, compared 2 by 2 and the angles between them are equal
c. The case of two triangles being equal when all lines are equal, compared 2 by 2
Answer:
Place the compass point on vertex Y and draw an arc that intersects YX and YZ
Step-by-step explanation:
Given the construction of dividing an angle inteo two equal parts.
we have to find the first step of construction.
As seen in figure the angle ∠XYZ is dividing into two equal parts.
The first step of construction is to place the needle of compass at Y and draw an arc that intersects YX and YZ.
Hence, the correct option is option C.
Place the compass point on vertex Y and draw an arc that intersects YX and YZ
