Answer:
O A.
Step-by-step explanation:
<u>Option A</u> identifies two angles (sufficient for similarity) and one side, sufficient (with similarity) for congruence. The applicable congruence theorem is AAS.
<u>Option B</u> identifies two sides and the angle not between them. The two triangles will be congruent in that case only if the angle is opposite the longest side, which is <u>not true</u> in general.
<u>Option C</u> same deal as Option A.
<u>Option D</u> identifies three congruent angles, which will prove the triangles similar, but not necessarily congruent.
Answer:
10.21 feet.
Step-by-step explanation:
circumference of circle with diameter d is given by 
where r is the radius of the circle.
_____________________________
given
diameter = 6 1/2 = 13/2 feet
\thus, circumference of circle is calculated as following

Thus, circumference of given circle is 10.21 feet.
Answer: Option D
D. 880 = 45d + 70; 18 days
Step-by-step explanation:
We know that the cost of preschool is $ 45 per day plus a monthly fee of $ 70.
We also know that a total of $ 880 was paid last month
To write an equation that represents this situation, let us call d the number of days that Barry attends school
So the cost was:

Now we solve the equation for the variable d




The answer is the option D
Use the Pythagorean theorem:

c - a hypotenuse
a, b - legs
We have: a = 9 and c = 12. Substitute:

<em>subtract 81 from both sides</em>

A Pythagorean triple consists of three positive integers a, b and c, such that
.
is not positive integer.
<h3>The sides of the triangle do not form a pythagorean triple.</h3>