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
polet [3.4K]
2 years ago
15

Given segments AB and CD intersect at E.

Mathematics
1 answer:
nata0808 [166]2 years ago
7 0

The length of a segment is the distance between its endpoints.

  • \mathbf{AB = 3\sqrt{2}}
  • AB and CD are not congruent
  • AB does not bisect CD
  • CD does not bisect AB

<u>(a) Length of AB</u>

We have:

\mathbf{A = (1,2)}

\mathbf{B = (4,5)}

The length of AB is calculated using the following distance formula

\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}

So, we have:

\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}

\mathbf{AB = \sqrt{18}}

Simplify

\mathbf{AB = 3\sqrt{2}}

<u>(b) Are AB and CD congruent</u>

First, we calculate the length of CD using:

\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}

Where:

\mathbf{C = (2, 4)}

\mathbf{D = (2, 1)}

So, we have:

\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}

\mathbf{CD = \sqrt{9}}

\mathbf{CD = 3}

By comparison

\mathbf{CD \ne AB}

Hence, AB and CD are not congruent

<u>(c) AB bisects CD or not?</u>

If AB bisects CD, then:

\mathbf{AB = \frac 12 \times CD}

The above equation is not true, because:

\mathbf{3\sqrt 2 \ne \frac 12 \times 3}

Hence, AB does not bisect CD

<u>(d) CD bisects AB or not?</u>

If CD bisects AB, then:

\mathbf{CD = \frac 12 \times AB}

The above equation is not true, because:

\mathbf{3 \ne \frac 12 \times 3\sqrt 2}

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

You might be interested in
Which algebraic expression is a trinomial?
Goryan [66]

Answer: A trinomial consisting of three terms.

Step-by-step explanation: An example of trinomial is 6x squared + 3x + 5.

7 0
3 years ago
heights of statistics students were obtained by a teacher as part of an experiment conducted for the class. The last digit of th
hammer [34]

Answer:

1) B. The height appear to be reported because there are disproportionately more 0s and 5s.

2) A. They are likely not very accurate because they appear to be reported.

Step-by-step explanation:

The distribution table is shown below:

Last Digit           Frequency

     0                          9

     1                           1

     2                          1

     3                          3

     4                          1

     5                         11

     6                          1

     7                          0

     8                          3

     9                          1

1. Based on the distribution table, we see a very disproportionate distribution. There is a high frequency of 0's and 5's. This lays credence to the heights being reported rather than measured. As such, option B is the correct answer

<u>B. The height appear to be reported because there are disproportionately more 0s and 5s</u>.

2. Since the heights were reported and not measured, they are most certainly not accurate. The conclusion is that the result is not accurate. As such, option A is the correct answer

<u>A. They are likely not very accurate because they appear to be reported</u>.

7 0
3 years ago
1. In triangle ABC, if AB = 3cm, BC = 4cm and AC = 5cm Find
Veseljchak [2.6K]

Answer:

Step-by-step explanation:

A) The diagram of the triangle is shown in the attached photo

The lengths of the given triangle form a Pythagoras triple. This means that the square of the longest side equals the sum of the squares of the two shorter sides.

Area = 1/2 × base × height

Height = 3 cm

Base = 4 cm

Area = 1/2 × 3 × 4 = 6 cm²

B) The altitudes can be AB or BC. Therefore, the length of the shortest altitude is AB = 3 cm

The diagonal is the same as the hypotenuse which is also the longest side of the triangle. Thus,

Length of diagonal = 5 cm

8 0
2 years ago
Chandler is walking 1/16 km every 10 minutes. How many kilometers will he walk in 1 hour?!
SashulF [63]

Answer:

\frac{3}{8} or\ 0.375\ km

Step-by-step explanation:

Given: Chandler walk 1/16 km every 10 minutes.

First, lets find how many 10 minutes in one hours or convert minutes in hours.

∴ Time= \frac{60}{10} \ h

Now, finding kilometres travelled in 1 hour.

Distance travelled= \frac{1}{16} \times \frac{60}{10} = \frac{1}{16} \times 6

Distance travelled = \frac{3}{8}

Converting \frac{3}{8} \ km into decimal will have 0.375 km.

∴ \frac{3}{8} or\ 0.375\ km will chandler walk in 1 hour.

7 0
2 years ago
Read 2 more answers
810 songs; 130% increase
horrorfan [7]
To do 130% increase you multiply by 1.3 so you do 810 × 1.3 = 1053
4 0
3 years ago
Other questions:
  • The number of a checking account is also known as a(n) _____.
    10·2 answers
  • tapes-R-US is having a sale on hq tape players. the regular price is 60 dollars.the discount is 18 dollars. what percent discoun
    7·1 answer
  • The length of a rectangle is the sum of the width and 2. The area of the rectangle is 48 units. What is the length, in units, of
    9·1 answer
  • Qualitative research differs from quantitative research because it a. relies heavily on statistical analysis b. is conducted in
    6·1 answer
  • phobe, Andy and polly share £270 phobe gets 3 times as much as Andy who gets twice as much as polly work out how much they each
    8·1 answer
  • As an estimation we are told £3 is 4 euro.Convert £13.50 to euros
    13·1 answer
  • Naz decided to travel to Europe last summer. The jet flew at an average rate of 550 mph and covered 3437.5 miles. How long was t
    15·1 answer
  • Help please! also an explanation would be helpful
    14·2 answers
  • Write a tbh about me ;)<br><br> p.s. love u guys
    15·1 answer
  • How to find the domain in a table chart ?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!