Answer:
21) 12 cm
22) 5.9 cm
Step-by-step explanation:
21) The base is 10, and if the other two sides are congruent and the perimeter is 36, we can figure out with simple algebra that the sides are 13 cm long.
Half of 10 is 5, so we can use the pythagorean theorem.
5^2+x^2=13^2
Rearranging the variables we have 169-25=x^2
144=x^2
x can be plus or minus 12, but since negative length is impossible we find that x is positive 12 cm.
22) We want to use sine, because we have opposite and hypotenuse. A simple and easy way to memorize this is the SohCahToa method. If we have opposite (O) and hypotenuse (H) we have OH. Soh has the letters O and H, and the S means we should use sine.
sine 36=a/10
Plug this into a calculator or desmos scientific calculator to get a=5.9
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Answer:
check online for more information
Answer: A not a triangle
Step-by-step explanation:
Answer:
The answer to your question is below
Step-by-step explanation:
1) Alternate interior angles measure the same
10x - 10° = 100°
10x = 100° + 10°
10x = 110°
x = 110° / 10°
x = 11°
2) Alternate exterior angles measure the same
x + 99° = 90°
x = 90° - 99°
x = -9°
3) Supplementary angles measure 180°
(6x + 12) + (14x + 8) = 180°
6x + 12 + 14x + 8 = 180°
20x + 20 = 180
20x = 180 - 20
20x = 160
x = 160 / 20
x = 8
4) Alternate exterior angles measure the same
26x + 1 = 131°
26x = 131° - 1°
26x = 130°
x = 130° / 26°
x = 5
5) Consecutive interior angles measure 180°
x + 100 + 85° = 180°
x + 185 = 180
x = 180 - 185
x = -5
6) Corresponding angles measure the same
7x - 7 = 70
7x = 70 + 7
7x = 77
x = 77 / 7
x = 11
7) Supplementary angles measure 180°
(12x + 8) + (100°) = 180°
12x + 8 + 100 = 180
12x + 108 = 180
12x = 180 - 108
12x = 72
x = 72 / 12
x = 6
8) Consecutive interior angles measure 180°
18x + 8x - 2 = 180°
26x = 180 + 2
26x = 182
x = 182 / 26
x = 7
9) Corresponding angles measure the same
27x + 7 = 28x + 3
27x - 28x = 3 - 7
-1x = -4
x = -4/-1
x = 4
10) Consecutive interior angles measure 180°
(x + 107) + (x + 87) = 180
x + 107 + x + 87 = 180
2x + 194 = 180
2x = 180 - 194
2x = -14
x = -14 / 2
x = -7
