Answer:
Step-by-step explanation:
AB=
=
AC=
=
Answer: 20
Step-by-step explanation:
Assuming your question is:
Z² - X² - XY X = -2, Y = 3, Z = -4
Substitute values
(-4)² - (-2)² - {(-2)(3)}
{(-4)(-4)} - {(-2)(-2)} - (-6)
(16) - (4) + 6
16 - 4 + 6
20
Answer:
Step-by-step explanation:
We are given the following in the question:
We have to prove:
Proof:
we can write:
Hence, the two triangle are congruent by SAS congruency rule.
The attached image shows the two triangle.
Answer:
I think 60
Step-by-step explanation:
have a great day
Answer:
Step-by-step explanation:
Assume that the amount needed from the 5% acid is x and that the amount needed from the 6.5% acid is y.
We are given that:
The volume of the final solution is 200 ml
This means that:
x + y = 200
This can be rewritten as:
x = 200 - y .......> equation I
We are also given that:
The concentration of the final solution is 6%
This means that:
5%x + 6.5%y = 6% (x+y)
This can be rewritten as:
0.05 x + 0.065 y = 0.06 (x+y) ............> equation II
Substitute with equation I in equation II and solve for y as follows:
0.05 x + 0.065 y = 0.06 (x+y)
0.05 (200-y) + 0.065 y = 0.06 (200-y+y)
10 - 0.05 y + 0.065 y = 12
0.015y = 12-10 = 2
y = 2/0.015
y = 133.3334 ml
Substitute with the y in equation I to get the x as follows:
x = 200 - y
x = 200 - 133.3334
x = 66.6667 ml
Based on the above calculations:
The amount required from the 5% acid = x = 66.6667 ml
The amount required from the 6.5% acid = y = 133.3334 ml
