Macy described four triangles as shown below:

Triangle A: All angles measure 60°.

Triangle B: All sides have length 6 cm.

Triangle C: Two sides have length 6 cm, and the included angle measures 60°.

Triangle D: Base has length 6 cm, and base angles measure 50°.

Which triangle is not a unique triangle? (1 point)

Group of answer choices

Triangle A

Triangle B

Triangle C

Triangle D

Triangle A

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

 1) Triangle A: All angles measure 60°

In this case we could have several similar triangles with the corresponding angles congruent and corresponding sides proportional .

therefore

Triangle A is not a unique triangle

2) Triangle B: All sides have length 6 cm

If all sides have length 6 cm, then is an equilateral triangle

In this case Triangle B is a unique triangle

3) Triangle C: Two sides have length 6 cm, and the included angle measures 60°

With the law of cosines calculate the length of the third side and with the law of sines calculate the measure of the other two interior angles

Is an equilateral triangle with all sides have length 6 cm

In this case Triangle C is a unique triangle

4) Triangle D: Base has length 6 cm, and base angles measure 50°

With the two base angles calculate the measure of the third angle, and with the law of sines determine the length side of the other two congruent sides

Is an isosceles triangle with base angles measure 50°, vertex angle measure 80° and base has length of 6 cm.

In this case Triangle D is a unique triangle

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

5   1/4   miles per hour

step-by-step explanation:

15   3/4 / 3 = 5   1/4