You have to divide 108 with 25.18
about 4.3/1
Use the Pythagorean theorem
Side = sqrt(8^2 - 6^2)
Side = sqrt(64-36)
Side = sqrt(28)
Side = 5.29
Rounded to nearest tenth = 5.3
D. NI = AC is the needed information to prove ΔINF = ΔCAT by the ASA Postulate.
For the triangles to be congruent by ASA, the measurements of two angles and one side must be proven congruent. Since two sets of congruent angles are already given, one side must also be congruent.
When proving congruency using ASA, the congruent parts of the triangles must be in this order: Angle, Side, Angle. So, you have to the side that is between the two sets of congruent angles.
Answer:
The amount invested at 9% is $93000
The amount invested at 10% is $303000
Step-by-step explanation:
Let the amount invested at 9% interest rate be x
And the amount invested at 10% rate be y
Simple Interest from x in a year = 0.09x
Simple Interest from y in a year = 0.1y
But y = 24000 + 3x
And the sun of the interests, 0.09x + 0.1y = 38670
Now we have a simultaneous eqn
y = 24000 + 3x (eqn 1)
0.09x + 0.1y = 38670 (eqn)
Substitute y into eqn 2
0.09x + 0.1(24000 + 3x) = 38670
0.09x + 2400 + 0.3x = 38670
0.39x = 38670 - 2400
x = 36270/0.39 = $93000
y = 24000 + 3x = 24000 + 3 × 93000 = $303000
