Consider a parallelogram in which one side is 3 inches long, another side measures 4 inches, and the measurement of one angle is 45°. How many parallelograms can you construct given these conditions? What are the lengths of the sides and the measurements of the angles for the parallelogram(s)? Using the given information, can you determine the lengths of all the sides of the parallelogram? If so, what are the side lengths?

Question

06-07-2021
Mathematics

Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Consider a parallelogram in which one side is 3 inches long, another side measures 4 inches, and the measurement of one angle is 45°. How many parallelograms can you construct given these conditions? What are the lengths of the sides and the measurements of the angles for the parallelogram(s)? Using the given information, can you determine the lengths of all the sides of the parallelogram? If so, what are the side lengths?

Sagot :

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.

Your city has decided to build a new library. The projected cost is $2 million. A bond issue for $1.2 million has been authorized, and the remainder is supposed

If the corporate income tax induces businesses to reduce their capital investment, then A. corporate shareholders benefit from the tax. B. workers bear some of

Why did the Uyghur language stop using the Latin alphabet?

The ___ something is before it falls, the longer gravity can act on the object. higher lower

K Save Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerab

9. Use your profit function to find out how much you can expect to earn from the lawn care business in month 9. Show your work and interpret your answer. Funct

Find the distance between the two points rounding to the nearest tenth (if necessary). ( 1 , 4 ) and ( − 2 , 8 )

the product of a number and 5.

woah this can be amazifnifnsdif ifn is dnfidnfiafnia nfdi if baid i dasfuai dsfuahdfiubiaujcxiun aiduf aisdufnaidfu naiduf aiuf nai fue roherc hrh iah cahh oiho

A solution of citric acid (H₃C₆H₅O₇) with a known concentration of 0.200 M H₃C₆H₅O₇ is titrated with a 0.750 M NaOH solution. How many mL of NaOH are required t

sqdancefan sqdancefan · Answer 1 · 2021-07-19T18:19:29-04:00

9514 1404 393

Answer:

(a) one parallelogram

(b) opposite sides are 3 inches and 4 inches. Opposite angles are 45° and 135°

(c) yes, all side lengths can be determined, see (b)

Step-by-step explanation:

Opposite sides of a parallelogram are the same length, so if one side is 3 inches, so is the opposite side. Similarly, if one side is 4 inches, so is the opposite side. If sides have different lengths, they must be adjacent sides. The given numbers tell us the lengths of all of the sides.

The 4 inch sides are adjacent to the 3 inch sides. Thus the angle between a 4 inch side and a 3 inch side must be 45°. Opposite angles are congruent, and adjacent angles are supplementary, so specifying one angle specifies them all.

Only one parallelogram can be formed with these sides and angles. (The acute angle can be at the left end or the right end of the long side. This gives rise to two possible congruent orientations of the parallelogram. Because these are congruent, we claim only one parallelogram is possible. Each is a reflection of the other.)

Sagot :

Other Questions