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
densk [106]
3 years ago
10

Which of the following represent the length of a diagonal of this trapezoid?

Mathematics
1 answer:
wariber [46]3 years ago
8 0

Answer:

\sqrt{\left(a+b\right)^{2}+c^{2}}

Step-by-step explanation:

The distance between the line joining points A (<em>-b, c</em>) and C (<em>a, o</em>) will be the length of the diagonal of given trapezoid.

Now, x_{1} = - b,\ y_{1} = c\ and\ x_{2} = a, y_{2} = 0

Now, using distance formula,

AC = \sqrt{\left (x_{2}-x_{1}\right )^{2}+\left (y_{2}-y_{1}\right )^{2}}

AC = \sqrt{\left(a-(-b) \right)^{2}+\left(0-c\right)^{2}}

AC = \sqrt{\left(a+b\right)^{2}+\left(-c\right)^{2}}

AC = \sqrt{\left(a+b\right)^{2}+c^{2}}

Therefore, the length of diagonal AC of trapezoid = \sqrt{\left(a+b\right)^{2}+c^{2}}

So, option (4) is the right option.

You might be interested in
Can somebody please help me? Will mark brainliest ! 13 points
Mrrafil [7]

Answer:

Look up the worksheet title on google and then answers. I have done this before and it has helped me. I hope this helps you!!!

Step-by-step explanation:


8 0
3 years ago
A merchant bought 30 dozen pairs of gloves. How many individual gloves did the merchant buy? A-720 B-420 C-300
sdas [7]

A-720

30x12x2

There are 30 dozen, a dozen means twelve. 30 times 12 is 360. There are 360 pairs of gloves. A pair means 2. 360 pairs times 2 gloves in a pair equals 720.

7 0
3 years ago
What do i do for this problem
Margaret [11]
<span>The answer would be 20.

The question is asking you to find the value of the expression for when c = 100, so we have to put 100 where c is in the equation. Given that fact, we start with c/5, then put the 100 in for c.
c/5 = ??
100/5 = 20. </span>
4 0
3 years ago
Read 2 more answers
To make lemonade, you used one quart of water, one pint of lemon juice, and 9 ounces of your secret ingredient: honey. How much
WITCHER [35]
To solve this problem you must follow the proccedure shown below:

 1. Amount of lemonade in pints:

 1 <span>quart of water=2 pints
 1 pint of lemon
 (9  ounces of honey)(0.0625 pints/1 ounce)=0.56 pints

 Total in pints=2 pints+1 pint+0.56 pints
 Total in pints=3.56 pints

 2. </span>Amount of lemonade in<span> cups:

 Total in cups=(3.56 pints)(2 cups/1 pint)
 Total in cups=7.12 cups

 
3. </span>Amount of lemonade in<span> ounces:

 Total in ounces=(7.12  cups)(8 ounces/1 cup)
 Total in ounces=56.96 ounces</span>
4 0
3 years ago
The nature park has a pride of 7 lions and 9 cubs. The adults eat 9 pounds of meat each day and the cubs eat 4 pounds. Simplify
Blizzard [7]

Answer:

the answer to that question is 99

7 0
3 years ago
Other questions:
  • The 15 dogs at the animal shelter are in individual cages labeled A through O. Three dogs will be randomly selected to be featur
    12·1 answer
  • Perfect square immediately before 3​
    11·1 answer
  • Plz help!!!!!!!!!!!!!
    8·2 answers
  • A girl 160 cm tall, stands 360 cm from a lamp post at night her shadow is 90 cm. How high is the lamp post
    12·1 answer
  • Which equation represents a line that passes through (-2,4) and has a slope of 2/5?
    13·1 answer
  • What is the area of square EFGH?
    12·1 answer
  • Write a piecewise function that models each telephone billing plan. Then graph the function.
    11·1 answer
  • What is the new amount given the original amount and the percent of change?
    6·1 answer
  • I need some help with this
    6·1 answer
  • What are all the signs that indicate the use of an open circle when graphing ?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!