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
Step-by-step explanation:
upper left angle and lower right are the same in a parallelogram (the other two angles match as well, but aren't useful)
so we can write this equation:
3x -15 = 2x +24
1x -15 = 24
x = 39
always do the same thing on both sides of an equation (here: subtract 2x, then add 15)
now you might give it a try yourself with the next problem that got two same things in it.
always grow stronger :)
Answer:
x = 1
Step-by-step explanation:
Using the rule of logarithms
b = 1
That is the logarithm of a number to the same base is 1
Given
5 = x , hence x = 1
Answer:
80 893 720
Step-by-step explanation:
hope dis helps!!!!