Assume the bigger number is x, since the difference is 18, another one should be x - 18
So the product will be x(x-18) = x^2 - 18x = (x-9)^2 - 81
Since the minimum of (x-9)^2 is 0, then the minimum of the product is -81
3. <u>Two angles and included side (ASA congruence theorem)</u>.
<u>Reason:</u> This is because, it is given that angle Q is congruent to angle T and line QR is congruent to line TR. Also, we proved in step 2 that 
. Thus, we have two angles and the side included as congruent and thus, the two triangles are congruent.
4. <u>CSCT (Corresponding Sides of a Congruent Triangle)</u>
<u>Reason:</u> PR and SR are the corresponding sides of the congruent triangles 
and 
, therefore, by the CSCT these corresponding sides have to be congruent.
Answer:
YES
Step-by-step explanation:
Any line that is tangent to a circle is always perpendicular to the radius of the circle, forming a right angle at the point of tangency.
Therefore, ∆BAC is a right triangle if it satisfy the pythagorean triple rule which says that c² = b² + a²
Where,
c = the hypotenuse = 30
b = 24
a = 2(9) = 18
Thus:
30² = 24² + 9²
900 = 900 (this is true)
Therefore, line AB is tangent to circle O.
The answer is YES
Answer:
136
Step-by-step explanation:
multiply 4 times 6, divide by two to get the area of the front side, then multiply that by two to get eh area of the two triangles.
Then multiply each side, two sides of 5 time 7 and one side of 6 times 7
Answer:
(0,-4)
Step-by-step explanation:
x-y = 4
2x+y = -4
Add these together to eliminate y
x-y = 4
2x+y = -4
-------------------
3x = 0
Divide by 3
3x/3 = 0/3
x = 0
Now we need to find t
2x+y = -4
0+y = -4
y= -4
