Answer: v = 32 degrees
Step-by-step explanation:
The polygon theorem states that for any polygon with n sides, the sum of the interior angles is (n - 2) × 180
The given polygon has 6 sides. Therefore, n = 6
The sum of the angles in the polygon is
(6 - 2) × 180 = 3 × 180 = 540 degrees
Therefore,
119 + 134 + 108 + v + 47 + 2v + 2v - 28
Collecting like terms, it becomes
119 + 134 + 108 + 47 - 28 + v + 2v + 2v = 540
380 + 5v = 540
5v = 540 - 380
5v = 160
v = 160/5
v = 32 degrees
Answer:
Each snack combo costed $8
Step-by-step explanation:
4 friends* 11 per ticket = $44 for four tickets
76 - 44 = $32 spent on all the snack combos
$32 ÷ 4 friends = $8 spent on each snack combo
So, each snack combo costed $8
Hope this helps!
9514 1404 393
Answer:
- Translate P to E; rotate ∆PQR about E until Q is coincident with F; reflect ∆PQR across EF
- Reflect ∆PQR across line PR; translate R to G; rotate ∆PQR about G until P is coincident with E
Step-by-step explanation:
The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.
The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.
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<em>Additional comment</em>
The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.
Answer:
0.4
Step-by-step explanation:
0.2 is too small, and everything above 1.0 is too big, so by default, must be 0.4
