Answer:
4 m
Step-by-step explanation:
Since the flower garden is square :
Both length and width are equal :
Let :
Original side length = x
Increased length = x + 3
Area of square = s² (s = side length)
New area = 49 m²
That is ;
(x + 3)² = 49
Original length, x can be calculated thus ;
Take square root of both sides
x + 3 = √49
x + 3 = 7
x = 7 - 3
x = 4
Hence, original length of each side = 4 m
The answer to the question is 17.9
intersecting circles have two common tangents
Answer:
Kindly check explanation
Step-by-step explanation:
If Brooke multiplied 3 by 9 and obtained 17 ; then Brooke is definitely wrong
3 * 9 = exactly 27
However, for approximation sake ;
We could round 9 to 10 ; and multiply 10 by 3
10 * 3 = 30 ; this gives an approximate solution for the multiplication problem ;
3 * 9 = exactly 27 or approximately 30
To find the value of x, use the vertical angle theorem.
Vertical angles are congruent.
Thus we have:
6x - 10 = 5x + 1
Solve for x.
6x - 10 = 5x + 1
Add 10 to both sides:
6x - 10 + 10 = 5x + 1 + 10
6x = 5x + 11
Subtract 5x from both sides:
6x - 5x = 5x - 5x + 11
x = 11
To find the value of y, use corresponding angles thoerem.
When two parallel lines are crossed by a transversal, the angles in matching corners are correponding angles.
Corresponding angles are congruent.
Thus, we have:
y = 6x - 10
Substitiute x for 11:
y = 6(11) - 10
y = 66 - 10
y = 56°
ANSWER:
x = 11, y = 56°