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netineya [11]
3 years ago
15

Each side of a quilt square measures approximately 4.25 inches. If there are about 2.54 centimeters in 1 inch, how long is each

side of the square in centimeters? Express your answer using the appropriate level of accuracy and use complete sentences to explain your reasoning.
Mathematics
1 answer:
Gelneren [198K]3 years ago
4 0

Answer:

Each side of the square in centimetres = 10.80 centimetres

Step-by-step explanation:

To convert from one unit to another or in between units we make use of conversion factors or conversion formulas

The conversion factor for the conversion of units in centimetres to units in inches is given as about 2.54 centimetres being equivalent to 1 inch

Therefore;

1 inch = 2.54 centimetres

4.25 inches = 2.54 × 4.25 = 10.795 ≈ 10.80 centimetres

Therefore, each side of the square in centimetres = 10.80 centimetres.

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Answers:

10. b. \displaystyle 13

9. b. \displaystyle 20

8. a. \displaystyle 33

7. a. \displaystyle 25°

Step-by-step explanations:

10. Both segments are considered congruent, so turn both expressions into an equation:

\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x

Plug this back into the equation to get \displaystyle 13on both sides.

9. All edges in a square obtain congruent right angles and edges, so set \displaystyle 45equivalent to the given expression:

\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}

7. In this rectangle, segment <em>EO</em><em> </em>is a segment bisectour, making these angles <em>Complementary</em><em> </em><em>Angles</em><em>.</em><em> </em>Therefore, set an equation up to find its complement:

\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}

I am joyous to assist you at any time.

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Step-by-step explanation:

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