Answer:
Triangles congruent by ASA have two pairs of congruent sides and an included congruent angle. The graph indicates that sides TV, HG, and AB are congruent, and that sides TU, FG, and BC are congruent. It also indicates that angles U, F, and C are congruent, and that angles G and B are congruent.
Answer:
25, 36, 49
Step-by-step explanation:
I just listed them down since there aren't many.
1×1=2 (Smaller than 20)
2×2=4 (Smaller than 20)
3×3=9 (Smaller than 20)
4×4=16 (Smaller than 20)
5×5=25
6×6=36
7×7=49
8×8=64 (Bigger than 50)
Answer:
1/2
Step-by-step explanation:
So do this, think of an equilateral triangle. A 30-60-90 triangle is just half of an equilateral triangle. If the original side length was x, then the hypotenuse is x, one leg is x/2, and the third, by Pythagorean theorem, is x sqrt3
Sin is opposite over hypotenuse, so we have (x/2)/x = 1/2
Answer:
Step-by-step explanation:
<u>Sum of the interior angles of a regular polygon:</u>
- S(n) = 180°(n - 2), where n- number of sides
<h3>Exercise 4</h3>
<u>Pentagon has sum of angles:</u>
- S(5) = 180°(5 - 2) = 540°
<u>Sum the given angles and find x:</u>
- x° + 122° + 100° + 90° + 144° = 540°
- x° + 456° = 540°
- x° = 540° - 456°
- x° = 84°
<h3>Exercise 5</h3>
<u>Hexagon has sum of angles:</u>
- S(6) = 180°(6 - 2) = 720°
<u>Sum the given angles and find x:</u>
- x° + 110° + 160° + 105° + 105° + 115° = 720°
- x° + 595° = 720°
- x° = 720° - 595°
- x° = 125°