Trevon’s school is selling tickets to a fall musical. On the first day of ticket sales the school sold 13 adult tickets and 12 s
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Answer:
The answer is below
Step-by-step explanation:
A tangent is a line which touches a circle at one point. The angle between a tangent and a circle is 90°.
The two tangent theorem states that tangent that meet at the same point are equal in length.
Therefore:
CD = c + d
but c = 5.1, hence:
CD = 5.1 + d
12.1 = 5.1 + d
d = 7
AD = a + d; but AD = 12.2, d = 7
12.2 = a + 7
a = 5.2
AB = a + b; but b = 3.3
AB = 5.2 + 3.3 = 8.5
BC = b + c = 3.3 + 5.1 = 8.4
Perimeter of ABCD = AB + BC + CD + AD = 8.5 + 8.4 + 12.1 + 12.2 = 41.2
Notice* No options are provided, so I will solve the expression.
Answer:
Step-by-step explanation:
Step 1: Simplify
Step 2: Rewriting the whole as an Equivalent Fraction
Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
5x = 5x/1 = 5x * 5/5
<em>Equivalent fraction</em> : The fraction thus generated looks different but has the same value as the whole
<em>Common denominator </em>: The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
dding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
5x • 5 - (4) 25x - 4
-------------- = ---------
5 5
Step 3: Simplify 25/4
Rewriting the whole as an Equivalent Fraction :
Adding a whole to a fraction
Rewrite the whole as a fraction using 4 as the denominator :
29 = 29/1 = 29 * 4/4
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
5 • (25x-4) + 29 • 4 125x + 96
--------------------------- = -----------
4 4
Final result :
125x + 96
—————————
4
___________
Terms and topics:
- Dividing exponents
- Polynomial roots
- Nonlinear equations
- Equations which are reducible to quadratic
- Reducing fractions to lowest terms