Write the converse of the following statement. Then determine its validity.

a. If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
b. If a parallelogram is a rectangle, then the diagonals are congruent. TRUE.
c. If a parallelogram is a rectangle, then the diagonals are congruent. FALSE.
d. If the diagonals of a parallelogram are not congruent, then the parallelogram is not a rectangle. FALSE.
d. If a parallelogram is not a rectangle, then the diagonals are not congruent. TRUE.

Answers

Answer 1

The converse and the validity of the statement is:

If a parallelogram is a rectangle, then the diagonals are congruent. TRUE.

The statement is given as:

If the diagonals of a parallelogram are congruent, then is the parallelogram is a rectangle

Considering the following statement

If a then b

Its converse is:

If b then a

So, the converse of the given statement is:

If a parallelogram is a rectangle, then the diagonals are congruent.

The diagonals of a rectangle are true.

Hence, the validity is true.

So, the true statement is (b)

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Related Questions

pls help me with this maths question ​

Answers

Answer:

a.7/4x

b.2/3c

Step-by-step explanation:

The cashier read the totals: $33.83, $19,40, $43.50, $3.08, $2.40. Circle the number that is wrong and record what it should be explain how you corrected the mistake

Answers

Answer:

74.0 g/mol

Explanation:

Step 1: Write the generic neutralization reaction

HA + NaOH ⇒ NaA + H₂O

Step 2: Calculate the reacting moles of NaOH

At the equivalence point, 33.83 mL of 0.115 M NaOH react.

0.03383 L × 0.115 mol/L = 3.89 × 10⁻³ mol

Step 3: Calculate the moles of HA that completely react with 3.89 × 10⁻³ moles of NaOH

The molar ratio of HA to NaOH is 1:1. The reacting moles of HA is 1/1 × 3.89 × 10⁻³ mol = 3.89 × 10⁻³ mol.

Step 4: Calculate the molar mass of the acid

3.89 × 10⁻³ moles of HA have a mass of 0.288 g.

M = 0.288 g / 3.89 × 10⁻³ mol = 74.0 g/mol

you need to really explain more and not going in person

Find the length of side x to the nearest tenth.
300
x
1
60°

Answers

Answer:

x=65

Step-by-step explanation:

pls help me pls help me pls help me

Answers

Answer:

d. 210

Step-by-step explanation:

well for the first textbook you have 7 options

for the 2nd placeholder you have 6 options

and the 3rd you have 5

so its 7x6x5 which is 210 different combinations

thx for 50 points :D

Kathleen wants to plant a small vegetable garden in her yard. She fences off a rectangular area with a length of 25.75 feet and a width of 10.2 feet. What is the area of Kathleen's vegetable garden?

Answers

Answer:

A= L x W

A= 25.75 X 10.2

A= 262.65

Step-by-step explanation:

THE AREA OF KATHLEEN'S VEGETABLE GARDEN

Malcolm took 18 minutes to do 15 math problems. Diedra took 17 minutes to do 16 math problems. Which student did more problems per minute?

Answers

The student that did more maths problems per minute is Diedra.

In order to determine which student did more maths problems per minute, the rate of each student has to be determined. Rate is the total questions solved divided by the time.

Rate = total questions / total time

Malcolm = 15 / 18 = 0.833 problems per minute

Diedra = 16/ 17 = 0.941 problems per minute

To learn more about rate, please check: brainly.com/question/9834403

1 point
A jacket is on sale for $48 in a Texas store. The sales tax in Texas is 6,25%.
How much does the jacket cost with sales tax included? *

Answers

Answer:

$51

Step-by-step explanation:

First, we can convert the tax to a decimal by dividing by 100.

6.25% = 0.0625

Then, we can calculate the sales tax by multiplying the original amount by the tax.

48 * 0.0625 = 3

Finally, we can add the sales tax to the original amount to get our final amount of

48 + 3 = 51

i keep this all day what is 6 + 6 × 6 + 6 ÷ 6=

Answers

Answer:

43

Step-by-step explanation:

6 + 6 × 6 + 6 ÷ 6

using BIDMAS, we do the division first

6÷6=1

then multiplication

6×6=36

leaving us with:

6+36+1=43

Hopefully this helped- have a good day)

Let's do

6+6×6+6÷66+36+17+3643

Done!

Solve this system of equations, then determine what y equals.
x + 5y= 7
2x + 4y = -4
A y=-18
B y=3
C y=8
D y=-8

Answers

2+2=4 and 4+4=8 and 8+8=16

[tex]x+5y = 7~~~....(i)\\\\\\2x+4y = -4~~~.....(ii)\\\\\\\text{Multiply equation (i) by 2,}\\\\\\2x+10y = 14~~~.....(iii)\\\\\\(iii) - (ii):\\\\2x+10y-2x-4y = 14-(-4)\\\\\implies 6y = 14+4\\\\\implies 6y = 18\\\\\implies y = \dfrac{18}6\\\\\implies y = 3[/tex]

PLEASE HELPPP!!
Find the value of X.

Answers

6x+10+81.5=180
Combine like terms
6x + 91.5 = 180
Subtract 91.5 from both sides
6x = 88.5
Divide by 6
X = 14.75

The answer is 3) 14.75

Can no one really help me? I've posted a question worth 50 points and people who are just in it for the points keep responding...I need help this is literally very important to my grade and no one is helping me please help ​

Answers

Answer:

repost so i can see

Step-by-step explanation:

repost so i can seee

Answer:

wheres the answer???

Step-by-step explanation:

cant find the answer thats all

For each problem below put the lettered measures in order for greatest to the least

Answers

Angles can be used to estimate the side lengths of a shape.

The letters in order of greatest to least are (a), (b) and (c)

The sum of angles at side (a) is:

[tex]a = 30 + 50[/tex]

[tex]a = 80[/tex]

The sum of angles at side (c) is:

[tex]c = 50 + 90[/tex]

[tex]c = 140[/tex]

The sum of angles at side (b) is:

[tex]b = 40 + 90[/tex]

[tex]b = 130[/tex]

So, we have:

[tex]a = 80[/tex]

[tex]b = 130[/tex]

[tex]c = 140[/tex]

The smaller the base angles, the longer the side.

Hence, the letters in order of greatest to least are (a), (b) and (c)

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i need help pleassseee!!?

Answers

Step-by-step explanation:

Set up a proportion:

26.5/x = 17/58

Cross multiply and you get:

17x = 1537

x = 90.4

So the measure of PQ is 90.4

Answer:

90.41

Step-by-step explanation:

you need to apple the thales's theorem

which is the comparison like this

ML=PQ JM= QN

Then you multiply in a crossed way like this

26.5 times 58= 1537

then you need to divide it by 17

1537/17= 90.41

(50 points) Here are descriptions of four situations in which the volume of water in a tank is
a function of time. Match each description to a corresponding graph. Each graph
is used only once.
Available Responses:
Graph 1
Graph 2
Graph 3
Graph 4
Situation A: An empty 20-gallon water tank is filled at a constant rate for 3
minutes until it is half full. Then, it is emptied at a constant rate for 3 minutes.
Situation B: A full 10-gallon water tank is drained for 30 seconds, until it is half
full. Afterwards, it gets refilled.
Situation C: A 2,000-gallon water tank starts out empty. It is being filled for 5
hours, slowly at first, and faster later.
Situation D: An empty 100-gallon water tank is filled in 50 minutes. Then, a dog
jumps in and splashes around for 10 minutes, letting 7 gallons of water out. The
tank is refilled afterwards.

Answers

Answer:

A = 3

B = 1

C = 2

D = 3

Situation A is graph 3, situation B is graph 1, situation C is graph 2 and situation D is graph 4.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Situation A :

The water tank is empty at first. So the graph must start at origin.

Tank is filled at a constant rate for 3 minutes until it is half full, that is until it is 10 gallons.

Then the tank is emptied at a constant rate for 3 minutes, which is also 10 gallons.

So the slope must be equal.

And the graph must start from 0 and ends at zero which is graph 3.

Situation B :

Water tank is already full. So the graph must start at higher value in the Y axis.

The only possibility for this is graph 1, since all others starts at origin.

Situation C :

Water tank starts at empty. So the graph starts at 0.

First the rate is slower, then it becomes faster. So there will be an increase in the slope, which is graph 2.

Situation D :

Graph starts at origin since the tank is empty.

Then there is a slight decrease in the water for some time. So the graph turns down slightly, again tank is refilled, so the graph goes up.

Hence each of the graph corresponds to the situation is found.

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The three solids below have the same height. The cross-sections of the parallel planes have equal areas,
Which solid has the greatest volume?

Answers

It should be noted that all the solids have the same volume.

What is volume?

Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. It should be noted that the definition of length is interrelated with volume.

Here, the three solids below have the same height. The cross-sections of the parallel planes have equal areas. They all have same volume.

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HELP ME FAST 15 POINTS

Answers

Answer:

Option 2

Step-by-step explanation:

An inverse ralation is where the x and y coordinate values are reversed. In other words you just need to switch the x's and y's.

So from the definition above the right answer is

{(3,0),(2,-5),(7,4),(2,-8)}

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

B,D,E

Step-by-step explanation:

cos^2(90)+cos^2(120)+cos^2(135)+cos^2(150)+cos^2(180)​

Answers

Answer:

97

Step-by-step explanation:

pls help meeeeeeeeeee

Answers

Step-by-step explanation:

VW to WY have the ratio 3/2.

VX to XZ must have the same ratio.

and VX > VW.

so,

30 and 20 is possible, as 30/20 = 3/2.

3 and 2 is not possible, because 6 > 3.

27 and 18 is possible, as 27/18 = 3/2.

13.2 and 8.8 is possible, 13.2/8.8 = 3/2.

8.7 and 5.7 is not possible, as 8.7/5.7 is not 3/2.

8.7/3 = 2.9

but 2.9×2 = 5.8 and not 5.7.

What do u get after dividing the sum of 352 and 698 by 5

Answers

Answer:

the answer to the question is 210

which function describes the arithmetic sequence shown -5,-7,-9,-11,-13

Answers

Answer:

[tex]n(x)=x-2[/tex]

Step-by-step explanation:

You can notice that between each of the arithmetic sequence there is a addition of 2. So we know that to add a 2 to get the next value. We can write it as n(x) where n is a function where x is the number:

n is the function and x repersent the number which is givenWe can write this function as: [tex]n(x)=x-2[/tex]So if we input x = -5 we will get -7. If we input -11 we get -13.

The number of students in a chess club decreased from 19 to 16. What is the percent decrease? Round your answer to the nearest percent. [The percent decrease is ___%.​

Answers

Answer:

84.21%

Step-by-step explanation:

When working with percentages, one must cross multiply and divide

first you set up your numbers in fraction form…

[tex]\frac{16}{19} \frac{x}{100}[/tex]

now you multiply the two number you do have (16 and 100)…

[tex]16*100\\ 1600[/tex]

then divide by the other number that is known (19)…

1600÷19≈84.21

hope this helps!

What is the product of 10 and 9 divided bye 24 in simplest radical form?

Answers

Answer:

15/4

Step-by-step explanation:

You do 10*9 which is 90. Then divide it by 24 to get 90/24 and simplify it by dividing the numerator and denominator by 6

Afia bought shoes that were on sale for 30 %off the regular price. Afia saved 12$. What was the regular price of the shoes?


ANSWER SOON

Answers

Divide the amount of savings by the percentage off:

12/0.30 = 40

The regular price was $40

The expression 16x2 + 4x + 125 represents the height, in feet, of a rock, x seconds after being thrown from a cliff. What does the 125
represent?
O A. the initial height of the rock
O B. the number of seconds it takes the rock to hit the ground
o C. the number of seconds it takes the rock to reach its maximum height
D. the maximum height of the rock

Answers

The motion of the rock thrown from the cliff which goes downwards due to

the gravitational force, is a free fall motion.

125 represents; A. The initial height of the rock.

Reasons:

The given function that represents the height of the of the rock in feet x seconds after being thrown is; f(x) = 16·x² + 4·x + 125

At the initial height before being thrown from the cliff, we have;

The time, x = 0

The initial height is therefore;

The initial height f(0) = 16 × (0)² + 4 × (0) + 125 = 125

125 represents A. The initial height of the rock

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Please I really really do need help like now please and thank you

Answers

Perimeter is the total of all the sides.
6+8+12+10+6+4+10=56

PLEASE SHOW ALL WORK AND DO CORRECTLY

For #8 , fill in the missing information for the following trapezoids. SHOW YOUR WORK to solve for the missing value.

8.
height = 19.8 cm
b1 = ________
b2 = 14.4 cm
area = 401.94 cm2

Answers

Answer:

26.2 cm

Step-by-step explanation:

Area = (b1 + b2)/2 * h

401.92 = (x + 14.4)/2 * 19.8

Divide each side by 19.8

20.2989 = (x + 14.4)/2

Multiply each side by 2

40.6 = x + 14.4

Subtract 14.4 from each side

x = 26.2

Answer:

116.82

Step-by-step explanation:

Since your trying to find a missing base

19.8 x 14.4= 285.12

   401.94-285.12=116.82

Hopes This Helps

Hello i need help with this one its only one.

Answers

Answer:

y=8 x+2

Step-by-step explanation:

hellpppppppppppppppp

Answers

Answer:Its probably c

Step-by-step explanation:

Answer:

Future Farmers of America

Step-by-step explanation:

Chang made $156 for 13 hours of work at the same rate, how many hours would he have to work to make $108?

Answers

Answer:

  9 hours

Step-by-step explanation:

"At the same rate" means time and wages are proportional.

  time/wages = t/$108 = (13 h)/$156

  t = 108(13 h)/156 . . . . . . . . . . . . . . . units of dollars cancel

  t = 9 h

Chang would have to work 9 hours to make $108.

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