The proportion would be 1/3 and x/9. Cross multiplication creates 3x=9. Divide both sided by three, and there are 3 trombones in the orchestra.
Answer:
BD = <u>1</u> unit
AD = <u>1</u> unit
AB = <u>1.6</u> units
AC = <u>1.6</u> units
Step-by-step explanation:
In the picture attached, the triangle ABC is shown.
Given that triangle ABC is isosceles, then ∠B = ∠C
∠A + ∠B + ∠C = 180°
36° + 2∠B = 180°
∠B = (180° - 36°)/2
∠B = ∠C = 72°
From Law of Sines:
sin(∠A)/BC = sin(∠B)/AC = sin(∠C)/AB
(Remember that BC is 1 unit long)
AB = AC = sin(72°)/sin(36°) = 1.6
In triangle ABD, ∠B = 72°/2 = 36°, then:
∠A + ∠B + ∠D = 180°
36° + 36° + ∠D = 180°
∠D = 180° - 36° - 36° = 108°
From Law of Sines:
sin(∠A)/BD = sin(∠B)/AD = sin(∠D)/AB
(now ∠A = ∠B)
BD = AD = sin(∠A)*AB/sin(∠D)
BD = AD = sin(36°)*1.6/sin(108°) = 1
Answer:
x=3
Step-by-step explanation:
6x - 2 = x + 13
subtract 1x from both sides
5x - 2 = 13
isolate the 5x by adding 2 to both sides
5x = 15
finnaly devide both by 5
x = 3
Answer:
your uncle will always be 4 times as old as you if he is currently 4 times as old as you
Step-by-step explanation:
kinda self explanatory so i think its a trick question haha
Just take both sides multiply by 2 then divide 3