The total angles in a polygon is 180 (n -2) where n is the number of sides.
A traingle has 3 sides. using the formula 180 x (3-2) = 180
So
X + Y + Y = 180
X + 2Y = 180 ...eq1
A pentagon has 5 sides, using the formula
180 x (5-2) = 540.
All the Y adds up to 540.
10Y = 540
Y = 54.
Use Y = 54 and sub into eq1
X + 2(54) =180
X = 180 - 2(54)
X = 180 -108
X =72
So X is 72
and Y is 54
30/7
Step-by-step explanation:
1.5kg : 350g
1kg = 1000g
So, 1.5kg = 1500g
1500g : 350g
1500/350 = 30/7
The answer is 30/7.
Simply divide both sides by 2/3 to get x by itself.
= 10 ÷ 2/3
Keep, change, flip!
= 10 × 3/2
= 30 / 2
= 15
So, x = 15.
Applying the law of sines, the measurement indicated are:
7. AB = 24.1 cm
8. BC = 28.0 in.
<h3>What is the Law of Sines?</h3>
Law of sines is: sin A/a = sin B/b = sin C/c.
7. AB (c) = ?
BC (a) = 22 cm
A = 180 - 138 - 22 = 20°
C = 22°
Apply the law of sines:
sin 22/AB = sin 20/22
AB = (sin 22 × 22)/sin 20
AB = 24.1 cm
8. BC (a) = ?
A = 58°
AC (b) = 33 in.
B = 180 - 58 - 33 = 89°
Apply the law of sines:
sin 58/BC = sin 89/33
BC = (sin 58 × 33)/sin 89
BC = 28.0 in.
Learn more about the law of sines on:
brainly.com/question/2807639
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The sum of the angles of acute angles in a right triangle is 90°.
Therefore w have the equation:
Calculate m∠A:
<h3>Answer: 67°</h3>