Answer:
1 < x < 12
Step-by-step explanation:
The triangles satisfy the Converse Hi nge Theorem Condition the two triangles have two corresponding equal sides. Thus, the included angle of the triangle that has the largest length of the third side is greater than the included angle of the other triangle with a lesser third side length.
Thus,
33 > 3x - 3
Solve for x
33 + 3 > 3x - 3 + 3
36 > 3x
36/3 > 3x/3
12 > x
To ensure the angle is not 0 or negative, thus:
3x - 3 > 0
Solve for x
3x - 3 + 3 > 0 + 3
3x > 3
3x/3 > 3/3
x > 1
Possible range of values of x would be:
1 < x < 12
First, change the division sign to multiplication, and flip the second fraction
(1/4)/(9/10) = 1/4 x 10/9
1/4 x 10/9 = 10/36
10/36 is your answer, and there is not enough in the numerator to change into an mixed fraction.
hope this helps
Answer:
$94.50
Step-by-step explanation:
Answer:
The answer is 1/3
Step-by-step explanation:
-4/-12 is the same as -4 divided by -12, and a negative divided by a negative will always be a positive; therefore, the answer comes out to be positive.
V30% mixture + v100% mixture = v60% mixture
0.3(10-x) + x = 0.6(10)
3 - 0.3x + x = 6
0.7x = 6 - 3
0.7x = 3
x = 3/0.7
x = 4.286 quarts
