Area of a rectangle = Length * width.
Small rectangle A = 1m * 3m = 3 square meters
Big rectangle A = 5m * 6m = 30 square meters.
30 square meters + 3 square meters = 33 square meters
Daniel needs 33 square meters of carpet tiles
Answer:
The answer to your question is ∠FSH = 42°; ∠NSF = 78°; ∠NSH = 120°
Step-by-step explanation:
Data
∠ FSH = 5x - 8
∠NSF = 9x - 12
∠NSH = 10x + 20
Process
1.- Write a equation to solve this problem
∠NSH = ∠NSF + ∠FSH
2.- Substitute values
10x + 20 = 9x - 12 + 5x - 8
3.- Solve for x
10 x - 9x - 5x = - 12 - 8 - 20
10x - 14x = - 12 - 28
- 4x = - 40
x = -40 / -4
x = 10
4.- Find the measure of all three angles
∠FSH = 5(10) - 8
= 50 - 8
= 42°
∠NSF = 9x - 12
= 9(10) - 12
= 90 - 12
= 78°
∠NSH = 10(10) + 20
= 100 + 20
= 120°
5.- Check the answers
120° = 78° + 42°
120° = 120°
The answers are correct
Answer:
third option
Step-by-step explanation:
<u>angle 1</u>
measure of angle 1 is diagonal to 45, theyre congruent angles
so measure of angle 1 is 45
<u>angle 2</u>
the sum of a triangle is 180 degrees
so for measure 2, we add 45 + 59 and we get 104. then we do 180 - 104 and we get 76
so the measure of angle 2 is 76
<u>angle 3</u>
since we know that the measure for angle 1 is 45, we can also solve for the measure of angle 3
to find angle 3, we do 55 + 45 and we get 100
and then you do 180 - 100 and you get 80
so the measure of angle 3 is 80
M=(y2-y1)/(x2-x1) so if we take the endpoints (0,0) and (6,8)
m=(8-0)/(6-0)
m=8/6
m=4/3, and since we know we have the point (0,0) we know the line is just:
y=mx, using m found above...
y=4x/3
So the graph that will match this line is one that has a point on the origin and has a positive slope of 4/3. So another point other than the origin that will be quite clear is the point (3, 4)
We have been given the function 
Now, we can see that in the transformed function 
, we have added 3 in the x.
Whenever we add/subtract some constant in the x, then the function gets translated to either left or right.
We know that if f(x) is a parent function and if we add a constant c then the function gets shift to c unit left.
Therefore, the given graph will get shifted 3 units left.
D is the correct option.
Translate each point of the graph of h(x) 3 units left.
