Answer:
see the explanation
Step-by-step explanation:
we know that
The<u><em> Side Angle Side</em></u> postulate (SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent
Remember that if two triangles are congruent, then its corresponding angles and its corresponding sides are congruent
In this problem
PO≅SO ----> given problem
NO≅TO ----> because O is the midpoint NT
∠PON≅∠SOT -----> by vertical angles
so
two sides and the included angle of triangle PON are congruent to two sides and the included angle of triangle SOT
therefore
Triangles PON and SOT are congruent by SAS
hence
∠N≅∠T ----> by definition of congruence (corresponding angles are congruent)
Answer:
15 cm
Step-by-step explanation:
Write out the formula: a^2 + b^2 = c^2
Plug in the numbers that you were given: a^2 + 6^2 = 16^2
Solve for the numbers that you were given: a^2 + 36 = 256
Subtract: - 36 = - 36
a^2 = 220
Then, you find your answer: a^2 = 220
The square root of 220 is 14.832396974191326. But you are going to round it and you get 15. So, the answer is 15 cm.
Hope this helps
-Amelia
Answer:
1. 9.9
2. 63
3. 151.2
4. 3.68
5.4.2
6. 70.4
Step-by-step explanation:
Answer:
3b - 4
Step-by-step explanation:
Answer:
(2) 2,640 ft
Step-by-step explanation:
I'm going to assume that in this question, you are walking 1 full circle around the reservoir. That would mean you need to calculate the circumference of the circular reservoir.
The circumference formula is:
C = ⫪d
C stands for Circumference
d stands for diameter
I will use 22/7 instead of pi, so the formula looks more like this:
C = (22/7)(d)
The diameter is 840 feet, so we will substitute the variable d with 840:
C = (22/7)(840)
You can plug this part into the calculator, but by hand, it'll look something like this:
(22/7)*840 = (22*840)/7
18,480/7 = 2.640
Hope it helps (●'◡'●)