1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
xxMikexx [17]
3 years ago
15

Question 28 of 42

Mathematics
1 answer:
lina2011 [118]3 years ago
5 0

Answer with explanation:

Properties of Rectangle

1. Opposite sides are equal and parallel.

2. Diagonals are equal and bisect each other.

3. Adjacent Sides are Perpendicular to each other.

→If two lines are parallel their slopes are equal and if two Lines are perpendicular, their product of slopes is -1.

→A Rectangle is a Quadrilateral also.

→Adjacent sides are perpendicular ,so , their slopes can't be equal.Product of their slopes should be equal to ,-1.

⇒Slope of AB × Slope of BC = -1

⇒Also, Slope of AB × Slope of BC = -1

Slope of AB × Slope of AD = -1

⇒ Slope of AD × Slope of CD = -1

Slope of CB × Slope of CD = -1

Option B And Option C

are statement which proves that polygon ABCD is not a rectangle.

You might be interested in
PLSSS HELP IF YOU TURLY KNOW THISSS
Nana76 [90]

Answer:

3

Step-by-step explanation:

Using the rule of exponents

a^{m} ÷ a^{n} = a^{(m-n)} , then

12^{6} ÷ 12^{3} = 12^{(6-3)} = 12³

4 0
2 years ago
Read 2 more answers
Help ASAP Jake took out an interest-free loan of $2,401.56 from the bank to buy a car. He paid the bank $200.13 each month until
Bezzdna [24]

Answer:

<em>Answer: D. Jake paid his loan in 12 months</em>

Step-by-step explanation:

Jake took out an interest-free loan of $2,401.56 from the bank to buy a car.

Since he has to pay no interest for the loan, the monthly payments are totally used to cover the amount of the loan.

He paid the bank $200.13 each month, thus the total months needed to pay the loan is:

\frac{\$2,401.56 }{\$200.13}=12

Answer: D. Jake paid his loan in 12 months

6 0
3 years ago
These equations represent the number of bacteria in four different dishes as a function of time, t, in days. Which equation repr
bagirrra123 [75]

<u>The growth factor</u>:

   ⇒ <em>is the </em><u><em>base in the exponent</em></u><em>:</em>

<em>        ⇒ the larger it is ⇒ the greater the growth factor is!</em>

<em />

<u>Let's Analyze our choices:</u>

  • c(t)'s growth factor: 5/2
  • a(t)'s growth factor: 5/6
  • d(t)'s growth factor: 3
  • b(t)'s growth factor: 1/50

<u>The greatest growth factor is 3</u>

<u />

<u>Answer: d(t)</u>

<u></u>

Hope that helps!

7 0
1 year ago
A school has 4 quarters. What percent of a school year is 7 quarters
Grace [21]
7/4=1.75
1.75=175%
175% of a school year is 7 quarters.
7 0
3 years ago
Read 2 more answers
Two opposing opinions were shown to a random sample of 1,500 buyers of a particular political news app in the United States. The
kifflom [539]

Answer:

A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B

= (0.51, 0.57)

This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)

B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.

Critical value = 2.33

Standard error = σₓ = √[p(1-p)/n]

p = sample proportion = 0.54

n = sample size = 1500

σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287

98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.54 ± (2.33 × 0.01287)

CI = 0.54 ± 0.02998)

98% CI = (0.51, 0.57)

98% Confidence interval = (0.51, 0.57)

B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?

For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;

- The sample data must have been obtained using a random sampling technique.

- The sampling distribution must be normal or approximately normal.

- The variables of the sample data must be independent of each other.

On the second point, the condition for a binomial distribution to approximate a normal distribution is that

np ≥ 10

and n(1-p) ≥ 10

The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.

For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Hope this Helps!!!

8 0
3 years ago
Other questions:
  • What is 28 division 4
    14·2 answers
  • How many points need to be removed from this graph so
    15·1 answer
  • According to the American Heart Association considerations for selecting an exercise program should be:
    7·2 answers
  • the ratio of adults to children is 7:3. based on this ration, if there was 370 people how many where children
    6·1 answer
  • Small scooters cost £80 and large scooters cost £130. A school buys few scooters for the playground for £1000. How many of the s
    15·1 answer
  • 4. From a faculty of six professors, six associate professors, ten assistant professors, and twelve instructors, a committee of
    7·1 answer
  • Does someone know the answer ​
    6·1 answer
  • Help,anyone can help me do quetion,I will mark brainlest.​
    14·2 answers
  • Please please help me out
    9·1 answer
  • A carpenter cuts the corners of a rectangle to make the trapezoid shown.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!