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Crank
3 years ago
13

Which biconditional statement is true?

Mathematics
2 answers:
tatyana61 [14]3 years ago
6 0

Answer: A shape is a rectangle if and only if the shape has exactly four sides and four right angles.

Step-by-step explanation:

  • If both a conditional statement and  its converse statement is true then we write a combine form of both the statements known as a bi-conditional statement. It is written in the if and only if form.

From the given options only option one is correct because it is true from both ways.

It can be written as If a shape has exactly four sides and four right angles then the shape is a rectangle.

  • A shape is a trapezoid if and only if the shape has a pair of parallel sides.  

It is not true because a if the shape has a pair of parallel sides then it can be a parallelogram.

  • A shape is a triangle if and only if the shape has three sides and three acute angles.

 It is not true because a if the shape has three sides and three acute angles then it is only a acute triangle.

  • A shape is a square if and only if the shape has exactly four congruent sides.

 It is not true because if the shape has exactly four congruent sides then it can also be rhombus.

So the only true bi-conditional statement is "A shape is a rectangle if and only if the shape has exactly four sides and four right angles. "

Oksana_A [137]3 years ago
4 0

Answer:

The first one: A shape is a rectangle if and only if the shape has exactly four sides and four right angles.

Step-by-step explanation:

The true statement is the first one:

A shape is a rectangle if and only if the shape has exactly four sides and four right angles.

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Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive. He wants each bag to have t
zhannawk [14.2K]

Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive. He wants each bag to have the same amount of pasta and sauce and wants to use all of the items. Use the drop-down menus to complete the statements below about the number of bags Cesar can make.

What is the greatest number of bags Cesar can make and Each bag would have _____ pasta and _____ jars of sauce

Answer:

The greatest number of bags Cesar can make is 16 bags.

Each bag would have 2 pasta and 3 of jars of sauce

Step-by-step explanation:

We solve the above question using Greatest Common Factor method

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Then the greatest common factor is 16.

Hence, the greatest number of bags Cesar can make is 16 bags.

For Pasta, We have 32 pasta

Each bag would have: 32/16

= 2 pasta

For Jars of sauce, we have 48 jars of sauce.= 48/16

= 3 jars of sauce

4 0
2 years ago
A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and
Lunna [17]

Answer:

C=27inch\ by\ 27inch

Step-by-step explanation:

Squares h=4inch

Volume v=1444in^3

Generally the equation for Volume of box is mathematically given by

 V=l^2h

 1444=l^2*4

 l^2=361

 l=19in

Since

Length of cardboard is

 l_c=19+4+4

 l_c=27in

Therefore

Dimensions of the piece of cardboard is

C=27inch\ by\ 27inch

7 0
2 years ago
Which is the longest?<br> A. 2 km<br> B. 25 m<br> C. 2,500 cm<br> D. 3,000 mm
Leona [35]
2km=2000m
25m=25m
2500cm=25m
3000mm=3m

Hence the longest is 2km=2000m
8 0
3 years ago
What shape will be angled cross-section of a rectangular pyramid be?
larisa86 [58]

Answer:

a regular trapezium

Step-by-step explanation:

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8 0
2 years ago
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
exis [7]

Answer:

C. The meeting will be in Los Angeles California on July, 17.

Step-by-step explanation:

This doesn't use commas correctly because there should be a comma after Los Angeles because it is a location. Also, there should not be a comma after 17 because the comma goes after the date when the year is included, which it is not.

8 0
3 years ago
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