Answer:
1/12
Step-by-step explanation:
P( coin = heads) = number of heads / total = 1/2
P( cube = 5) = number of 5's / total =1/6
P( heads, 5) =1/2 * 1/6 = 1/12
AA Theorem: To show two triangles are similar, it is sufficient to show that two angles of one triangle are congruent (equal) to two angles of the other triangle. All three triangles have a right angle and they all share the common angle at point S.
Flagpole is 32 meters from point S: so 1.5/8 = x/32 where x is FG
cross-multiply: 32 • 1.5 = 8x
48 = 8x
x = 6 meters
building is a total of 240 meters from point S, so: 1.5/8 = x / 240 where x is BD
cross-multiply: 240 • 1.5 = 8x
360 = 8x
<span>x = 45 meters</span>
<span>A whole number is multiplied to a fraction by multiplying the whole number to numerator of the fraction while retaining the denominator of the fraction 7/8 = (7 x 1)/8 = 7 x 1/8. The number missing in the 1st blank is 7 while the number missing in the second blank is 1.</span>
1st Side: 8
2nd Side: 2x - 1
3rd Side: x
(8) + (2x - 1) > x (2x - 1) + x > 8 (x) + (8) > 2x - 1
2x + 7 > x 3x - 1 > 8 8 > x - 1
2x > -7 3x > 9 9 > x
x > -3.5 (disregard) x > 3 x < 9
3rd Side: x ⇒ (3 < x < 9)
2nd Side: 2x - 1 ⇒ 2(3) - 1 < x < 2(9) - 1 ⇒ 5 < x < 17
Answer: the 3rd side must be between 3 and 9, the 2nd side must be between 5 and 17
