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:
I believe that it is the first one.
Step-by-step explanation:
Answer:5625 yards
Step-by-step explanation:
2/5=6/15
1/3=5/15
6/15+5/15=11/15
(15/15)-(11/15)=4/15
1500/4=375
375×15=5625
Answer:
x + 4
Step-by-step explanation:
Noah's age = x
Jacob's age = x – 3
In seven years,
Jacob's age = x – 3 + 7
Jacob's age = x + 4
Answer:

Step-by-step explanation:
is an angle in the third quadrant
To find the reference angle subtract π from it
reference angle =
- π = 