Answer: NO
<u>Step-by-step explanation:</u>
Let's define some of the vocabulary words so we can understand what is being asked.
trinomial: 3 terms → each term is separated by a plus or minus sign
Example: 5x² + 3x + 2
monomial: 1 term → no plus or minus sign exists in the term.
Example: 5x²
degree: the largest exponent → it can be in any of the terms.
Example: 5x² has a degree of 2
It is possible that a monomial has an exponent greater than that of a trinomial so the answer is NO!
trinomial: 5x² + 3x + 2 has a degree of 2
monomial: 5x⁴ has a degree of 4
Answer in fraction form: x = 55/4
Answer in decimal form: x = 13.75
Both forms are equivalent, but they say it in a slightly different way.
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Work Shown:
AC/QY = CD/YW
(x+5)/15 = 5/4
4(x+5) = 15*5
4x+20 = 75
4x = 75-20
4x = 55
x = 55/4
x = 13.75
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Explanations:
- The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
- In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
- On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.
Your answer would be A:x=3
Answer: 14cm
Step-by-step explanation:
The diameter of a circle is twice the radius.
Therefore, the diameter = 2*7 cm = 14cm