Daniela examines the two triangles below and determines Triangle D A C is similar to triangle T R S. Triangle D A C. Angle D is 57.9 degrees and angle C is 67 degrees.
Triangle T R S. Angle R is 55.1 degrees and angle S is 67 degrees.

Which best describes the accuracy of Daniela’s solution?
Accurate. The triangles are similar and the congruent angles are listed in corresponding order.
Inaccurate. In her statement, the corresponding vertices are written in the incorrect order.
Inaccurate. There is only one pair of congruent angles, so no statement can be made on the similarity of the triangles.
Inaccurate. The triangles are not similar because angle D is not congruent to angle R.

the answer is 0.3175 hope that you ^w^

also you might actually want to put this picture up if you want people to solve it luckily i remember this question

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

answer:   b

step-by-step explanation:

x2 = 16

x can not be a negative number because 16 is positive

the only answer would be positive 8  

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places