Which dimensions can create more than one triangle? a. three angles measuring 25, 65, and 90 b. three angles measuring 50, 50, and 50 c. three sides measuring 5 in., 12 in., and 13 in. d. three sides measuring 4 ft, 8 ft, and 10 ft

  A.  three angles measuring 25, 65, and 90

Step-by-step explanation:

For any triangle to be formed, the sum of angles must be 180° and the lengths of the sides must satisfy the triangle inequality (the sum of the two shortest sides is at least the length of the longest side).

A triangle can be formed only by selections A, C, and D. The triangles formed by the specification of 3 sides are unique. (That is why we can have SSS congruence.) So selections C and D will not form more than one triangle.

The triangle formed by three given angles (and no given side) will not be unique. (That is why we cannot have AAA congruence; only AAA similarity.) Many different triangles can be formed having these angles.

The appropriate choice is selection A.

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2

there is no grid

step-by-step explanation: