In solving the following problem for x, how do we get the bases to be the same? 2^x-4= 4
1 answer:
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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
Hi there!
<em><u>Answer:</u></em>
<em><u>=107</u></em>
<em><u>*The answer must have a positive sign.*</u></em>
Step-by-step explanation:
<h2><u>Lesson: Order of operations</u></h2>Parenthesis
Exponents
Multiply
Divide
Add
Subtract
It can also go left to right.
First, you do exponents.
Then, you multiply from left to right.
Finally, you add from left to right.
I hope this helps you!
Have a nice day! :)
-Charlie