Answer:
8/17
General Formulas and Concepts:
<u>Trigonometry</u>
- [Right Triangles Only] cos∅ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use trig to find the ratio.
<u>Step 2: Identify</u>
<em>POV from angle S</em>
Adjacent = 8
Hypotenuse = 17
<u>Step 3: Write</u>
- Substitute [cosine]: cos(s) = 8/17
112
/ \
2 56
/ \
2 28
/ \
2 14
/ \
2 7
So, the answer is 2 x 2 x 2 x 7 or 2^3 x 7
Answer:
∠ O = 61°, ∠ N = 119°
Step-by-step explanation:
In a parallelogram
Consecutive angles are supplementary
Opposite angles are congruent, thus
x + 2x - 3 = 180
3x - 3 = 180 ( add 3 to both sides )
3x = 183 ( divide both sides by 3 )
x = 61°
Thus
∠ O = ∠ M = x = 61°
∠ N = ∠ P = 2x - 3 = 2(61) - 3 = 122 - 3 = 119°
In order for two triangles to be similar, there must be 2 pairs of congruent angles. Since two angles of triangle PQR have different measures from two angles of triangle RST, it is impossible to have two pairs of congruent angles, so the triangles cannot be similar.
The answer is in bold type below.
<span>All
interior angles must be given to determine similarity.
The triangles
are not similar.
Similarity cannot be determined from the given
information.
The triangles are similar.
</span>
