Answer:
2.49 mi
Step-by-step explanation:
Answer:
x = -3, 6
Step-by-step explanation:
First, add 18 to both sides
x² - 3x - 18 = 0
+ 18 + 18
x² - 3x = 18
Add 9/4 to both sides because that is the square of half of -3
x² - 3x + 9/4 = 18 + 9/4
Multiply both sides by 4 to get rid of the fractions
(x² - 3x + 9/4 = 18 + 9/4)4
4x² - 12x + 9 = 72 + 9 = 81
Factor the left side of the equation
(2x - 3)² = 81
√(2x - 3)² = √81
Because of the square root, this will result in a positive number and a negative number
2x - 3 = 9
2x - 3 = -9
For both equations, add 3 to both sides then divide by 2
2x - 3 = 9
+ 3 +3
2x = 12
2x/2 = 12/2
x = 6
2x - 3 = -9
+ 3 + 3
2x = -6
x = -3
Answer:
11:18
Step-by-step explanation:
Here, we are interested in calculating the ratio of diameter of ball A to that of ball B
what to do here is to ensure that both diameters have measurements that are same units.
Thus, mathematically;
44 mm to 7.2cm
But, mathematically;
10 mm = 1 cm
Thus 7.2cm = 7.2 * 10 = 72mm
Thus, our ratio becomes;
44:72
divide through be 4, we have
44/4 : 72/4
= 11 : 18
Option D:
Solution:
Reflexive property of congruence:
<em>Reflexive property of congruence means the geometric figure is congruent to itself.</em>
Option A: If 
From the definition of reflexive property, it is not true.
This is transitive property of congruence triangles.
Therefore it is false.
Option B: 
From the definition of reflexive property, it is not true.
Therefore it is false.
Option C: 
From the definition of reflexive property, it is not true.
Therefore it is false.
Option D:
Here, ΔKLM is congruent to itself.
This statement illustrates the reflexive property of congruence for triangles.
Therefore, it is true.
Hence option D is the correct answer.
