Answer:
Step-by-step explanation:
<h3>Q13</h3>
The greater the angle the greater the opposite side
<u>Sides in ascending order:</u>
- AB = 17, AC = 18, BC = 21
<u>Angles in same order</u>
<h3>Q14</h3>
<u>As above, sides in ascending order:</u>
- AB = 15, AC = 16, BC = 17
<u>Angles in same order</u>
<h3>Q15</h3>
<u>Exterior angle equals to sum of non-adjacent interior angles</u>
- 142° = x + 66°
- x = 142° - 66°
- x = 76°
<h3>Q16</h3>
<u>Same subject and isosceles triangle:</u>
- x + x = 158°
- 2x = 158°
- x = 79°
<h3>Q17</h3>
<u>Same subject</u>
- m∠QSR = m∠QPS + m∠PQS
- 2x = x + m∠PQS
- m∠PQS = 2x - x
- m∠PQS = x
ΔPQS has two angles with the measure of x, hence their opposite sides are congruent and the triangle is isosceles
Answer:
16.23
Step-by-step explanation:
Use cosine to solve.
cos = adjacent / hypotenuse
cos 52 = 10 / x
(x = AB)
(cos 52)(x) = 10
x = 10 / (cos52)
x = 10 / 0.616
x = 16.2338
AB = 16.23
Answer:
90.09 m
Step-by-step explanation:
47.5 * 3.3 /1.74 = 90.09
Answer:
in mother's tummy
Step-by-step explanation:
First, rewrite the equation, separating the terms inside the parentheses and multiplying each by the term preceding the parenthesis, remembering that the product of two negatives is a positive, and likewise (later) with quotients:
(-3 * 12) + (-3 * (-m)) = (-1 * m) + (-1 * (-8))
-36 + 3m = -m + 8
Subtract 8 from both sides:
(-36 - 8) + 3m = -m + (8 - 8)
-44 + 3m = -m
Divide each term by -m:
(-44 / (-m)) + (3m / (-m)) = -m / (-m)
(44 / m) - 3 = 1
Add 3 to both sides:
(44 / m) - 3 + 3 = 1 + 3
44 / m = 4
(is the answer jumping out at you yet?) :-)
Multiply both sides by m:
(44 / m) * m = 4m
44 = 4m
Divide both sides by 4:
44 / 4 = m
11 = m
Verify by substituting for m in the original equation:
-3(12 - m) = -1(m - 8)
-3(12 - 11) = -1(11 - 8)
-3(1) = -1(3)
-3 = -3
Voila! That's it!
