What coordinate for f would make triangle abc and triangle def congruent? triangle abc is shown. for triangle abc, a is at 1, 0, b is at negative 1, 2, c is at 2, 3. two other coordinates are shown. d is at negative 1, 0, e is at 1, 2.

F (-2,3)

Step-by-step explanation:

We have been given coordinates of three points of triangle ABC and coordinates of two points of triangle DEF and we are asked to find out point F's coordinates.

Since we know that by SSS congruence corresponding side lengths of two congruent triangles are always of same length.

Upon using distance formula we can see length of AB and DE is and side lengths of BC and CA are . In order ABC to be congruent to DEF side lengths EF and FD must be equal to .

Upon substituting our given values in distance formula we will get two equations,

Upon solving these equations we will get that our point F lies on (-2,3)

Therefore, coordinates (-2,3) for point F will make triangle ABC and DEF congruent.

answer is the third choice:

3x^5+4x^4+x^3+2x^2-10x-7=0

step-by-step explanation:

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%