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julia-pushkina [17]
3 years ago
11

Mary states, "If the diagonals of a parallelogramare congruent, then the

Mathematics
1 answer:
slava [35]3 years ago
4 0

Answer:

True

Step-by-step explanation:

A rectangle is a plane figure with congruent length of opposite sides. Considering a rectangle ABCD,

AD ≅ BC (opposite side property)

AB ≅ CD (opposite side property)

<ABC = <BCD = <CDA = <DAC = 90^{0} (right angle property)

Thus,

<ABC + <BCD + <CDA + <DAC = 360^{0}

AC ⊥ BD (diagonals are perpendicular to each other)

AC ≅ BD (congruent property of diagonals)

Therefore, the parallelogram is a rectangle.

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Cindy's Ceramics engaged in a like-kind exchange that resulted in a $3,000 gain. In addition to the like-kind property, Cindy al
irinina [24]

Answer:

True

Step-by-step explanation:

$3000

-lesser of realized gain or boot

8 0
3 years ago
Is (6,3) a solution to this system of equations y=3x - 3 3x - y =3
aleksandr82 [10.1K]

Answer:

It is not a solution

Step-by-step explanation:

Plug the point into the equations and check to see if they are true

y=3x - 3

3 = 3(6) -3

3 = 18-3

3 = 15

False

We do not need to check the other equation since this is false

3 0
3 years ago
Baily is training to run a marathon. The number of minutes it takes to run the marathon after t weeks of training is M= 300(0.95
Whitepunk [10]

Answer:

300=initial time and 0.05 is the amount of time shaved off of the initial time to run the marathon

Step-by-step explanation:

3 0
3 years ago
Iq scores are normally distributed with a mean of 100 and a standard deviation of 15 what is the probability that a randomly sel
a_sh-v [17]
So we are given the mean and the s.d.. The mean is 100 and the sd is 15 and we are trying the select a random person who has an I.Q. of over 126. So our first step is to use our z-score equation:

z = x - mean/s.d.

where x is our I.Q. we are looking for

So we plug in our numbers and we get:

126-100/15 = 1.73333

Next we look at our z-score table for our P-value and I got 0.9582

Since we are looking for a person who has an I.Q. higher than 126, we do 1 - P. So we get

1 - 0.9582 = 0.0418

Since they are asking for the probability, we multiply our P-value by 100, and we get 

0.0418 * 100 = 4.18%

And our answer is

4.18% that a randomly selected person has an I.Q. above 126
Hopes this helps!
6 0
3 years ago
A beachball has a surface area of about 615.75 square meters. Find the
Genrish500 [490]

Answer: The radius of the ball is 7 meters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Surface area of a sphere: 4 π r^2

Replacing with the value given:

615.75 = 4 π r^2

Solving for r (radius):

615.75 /4π= r^2

√(615.75 /4π) =r

r = 6.99 = 7m (rounded)  

The radius of the ball is 7 meters.

Feel free to ask for more if needed or if you did not understand something.  

5 0
3 years ago
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