Cheyenne is deciding between the ways she has to buy music. Albums on CD cost
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Answer:
25
Step-by-step explanation:
We require to solve for n, hence
n(n + 1) = 325
multiply both sides by 2 to eliminate the fraction
n(n + 1) = 650
n² + n = 650
subtract 650 from both sides to have equation in standard form
n² + n - 650 = 0 ← in standard form
(n + 26)(n - 25) = 0 ← in factored form
equate each factor to zero and solve for n
n + 26 = 0 ⇒ n = - 26
n - 25 = 0 ⇒ n = 25
however, n > 0 ⇒ n = 25
First, we have to figure out the angles on the interior of the triangles. Since the 90° angle and the angle next to it form a straight line, we know that they are supplementary and add up to 180°. We would then subtract 90° from 180° to find the value of that angle, which comes out to be 90°. Next, since the angle measuring 125° and the angle next to it are supplementary, we would repeat the same procedure: 180° - 125° = 55°. Now that we know the values of two of the interior angles of the triangle, we can solve for the third. The angles of a triangle should add up to 180°, so we can solve for <em>p</em> like this:
90 + 55 + <em>p</em> = 180
145 + <em>p</em> = 180
<em>p </em>= 180 - 145
<em>p</em> = 35
The value of <em>p</em> <em />is 35°.
90 + 55 + <em>p</em> = 180
145 + <em>p</em> = 180
<em>p </em>= 180 - 145
<em>p</em> = 35
The value of <em>p</em> <em />is 35°.