Answer:
44°
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Geometry</u>
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>Step 1: Set up Equation</u>
136° + x° = 180°
<u>Step 2: Find missing angle</u>
- Subtract 136 on both sides: x = 44
Answer:
x = 133°
Step-by-step explanation:
Straight-line pair - A pair of angles that lie on a straight line.
<em>*</em><u><em>Property</em><em>*</em></u>
The sum of two angles of a straight-line pair is equal to <u>180°</u>.
The given angles – x and y – form a <u>straight-line pair.</u>
==> x + y = 180
<em>{</em><em>y</em><em> </em><em>=</em><em> </em><em>4</em><em>7</em><em>°</em><em> </em><em>(</em><em>given</em><em> </em><em>in</em><em> </em><em>t</em><em>he</em><em> </em><em>question</em><em>)</em><em>}</em>
<em>Substituting</em><em> </em><em>4</em><em>7</em><em> </em><em>for</em><em> </em><em>y</em><em>:</em>
==> x + 47 = 180
<em>Subtracting</em><em> </em><em>4</em><em>7</em><em> </em><em>from</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>
==> x = 47 - 47 = 180 - 47
==><u> x = 133</u>
C.) 344.50
Take what she paid before tax (325) and multiply it by 1.06 (the tax rate) and there's your answer.
Answer:
![P(t)=2500(1.04)^t](https://tex.z-dn.net/?f=P%28t%29%3D2500%281.04%29%5Et)
Step-by-step explanation:
None of your proposed answers has an exponent <em>t</em>.
Here's the logic behind the answer:
Year 0: pop. = 2500
Year 1: pop. = 2500(1.04) That is 104% of the previous year's pop.
Year 2: pop. = 2500(1.04)(1.04) = 2500(1.04)^2
Year 3: pop. = 2500(1.04)^2 x (1.04) = 2500(1.04)^3
See the pattern? The exponent matches the year number.