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EleoNora [17]
3 years ago
15

Which description does NOT guarantee that a quadrilateral is a square?

Mathematics
1 answer:
Ivahew [28]3 years ago
3 0
Let's go through the choices one by one

------------------------------------------
Choice A

If all sides are congruent, then this figure is a rhombus (by definition). If all angles are congruent, then we have a rectangle. Combine the properties of a rhombus with the properties of a rectangle and we have a square.

In terms of "algebra", you can think
rhombus+rectangle = square

Or you can draw out a venn diagram. One circle represents the set of all rhombuses; another circle represents the set of all rectangles. The overlapping region is the set of all squares. The overlapping region is inside both circles at the same time.

So we can rule out choice A. This guarantees we have a square when we want something that isn't a guarantee.

------------------------------------------
Choice B

If we had a parallelogram with perpendicular diagonals, then we can prove that we have a rhombus (all four sides congruent). However, we don't know anything about the four angles of this parallelogram. Are they congruent? We don't know. So we can't prove this figure is a rectangle. The best we can say is that it's a rhombus. It may or may not be a rectangle. There isn't enough info about the rectangle & square part.

This is why choice B is the answer. We have some info, but not enough to be guaranteed everytime.

------------------------------------------
Choice C

This is a repeat of choice A. Having "all right angles" is the same as saying "all angles congruent". This is because "right angle" is the same as saying "90 degrees". So we can rule out choice C for identical reasons as we did with choice A.

------------------------------------------
Choice D

As mentioned before in choice A, if we know that a quadrilateral is a rectangle and a rhombus at the same time, then the figure is also a square. This is always true, so we are guaranteed to have a square. We can cross choice D off the list.

------------------------------------------

Once again, the final answer is choice B


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A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller. Which call will be the f
Ymorist [56]

Answer:

120th caller

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

$100 bill = 30th caller

Movie tickets = 40th caller

So, to find out first to win both prizes, we will use LCM method,

LCM of 30 and 40 =       10 | 30 , 40

                                            | 3    , 4

LCM of 30 and 40 = 10 × 3 × 4 = 120

Hence, 120th caller will be the first to win both prizes.

3 0
3 years ago
It took Mary 40 minutes to run 8 laps around the playground, if she spent the same time running each lap, how long would it take
Sergeeva-Olga [200]

Answer:

it should take her 45 minutes to run 9 laps

Step-by-step explanation:

40/8 = 5

9*5 = 45

8 0
3 years ago
Read 2 more answers
If the circumference of a circle measures 5 pie cm, what is the area of the circle in terms of pie?
saw5 [17]

Answer:

6.25π cm²

Step-by-step explanation:

pi = π

Circumference = 5πcm

Now first we should find radius(r)

2πr = 5π cm

pie will be cancelled and we get here

r = 5/ 2 cm

Therefore r = 2.5 cm

Now

Area (A) = πr²

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Given a matrix where every cell has some number of coins. count number of ways to reach bottom right from top left with exactly
boyakko [2]
Yes that is very true cause we ballin
8 0
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DOES ANYONE KNOW THE ANSWER?????????
givi [52]

There's only information to answer question C.

We can only know that 32 marbles were chosen. (yellow and black)

Why?

To answer the first two questions (a and b), we need to know the total number of marbles, so, we can only answer the last question (c).

We know that 7/10 of the 20 yellow marbles were chosen.

So, calculating we have:

\frac{7}{10}*20=14(yellow)

Also, we know that 18 black marbles were chosen, so, the total of marbles chosen is equal to 32 (yellow marbles and black marbles)

TotalMarbles=14(yellow)+18(black)=32marbles

Have a nice day!

8 0
3 years ago
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