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
saul85 [17]
2 years ago
14

What is the perimeter of CDE?

Mathematics
1 answer:
LuckyWell [14K]2 years ago
7 0
<h3>Answer: 32.5 units (choice C)</h3>

This value is approximate.

=============================================================

Explanation:

To find the perimeter, we simply add up the lengths of the three external sides.

The horizontal side from D to E is 16 units long since |-10-6| = 16. I subtracted the x coordinates of the points and applied absolute value. You could also count out the spaces and you should count 16 spaces from D to E.

Unfortunately, the diagonal lengths aren't as straight forward. We have two options here: The pythagorean theorem, or the distance formula.

I'll go with the distance formula.

Let's find the distance from C to D, aka the length of side CD

C = (x1,y1) = (-1,-2)\\\\D = (x2,y2) = (-10,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-(-10))^2 + (-2-0)^2}\\\\d = \sqrt{(-1+10)^2 + (-2-0)^2}\\\\d = \sqrt{(9)^2 + (-2)^2}\\\\d = \sqrt{81 + 4}\\\\d = \sqrt{85}\\\\d \approx 9.2195\\\\

Side CD is roughly 9.2195 units long.

Repeat this idea to find the length of CE

C = (x1,y1) = (-1,-2)\\\\E = (x2,y2) = (6,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-6)^2 + (-2-0)^2}\\\\d = \sqrt{(-7)^2 + (-2)^2}\\\\d = \sqrt{49 + 4}\\\\d = \sqrt{53}\\\\d \approx 7.2801\\\\

Side CE is roughly 7.2801 units long

The perimeter of triangle CDE is approximately...

P = DE+CD+CE

P = 16 + 9.2195 + 7.2801

P = 32.4996

This then rounds to 32.5 units. The answer is choice C.

You might be interested in
Quadrilateral QRST is a square. If the measure of RS is 12x + 5 and QT is 8x + 15. find the value of QR ​
valentina_108 [34]

Answer:

35

Step-by-step explanation:

I got you the answer is 35.

7 0
3 years ago
Read 2 more answers
Given the following diagram, if m∠1 = m∠4, then all of the following must be complementary angles except
sukhopar [10]

The answer is : angles 2 and 3

6 0
3 years ago
Read 2 more answers
Write the equation of a line with the slope of -7 and passing through the point (2, 2).​
grandymaker [24]

Answer:

y=-7x+16

Step-by-step explanation:

y-y=m(x-x1)

y-2=-7(x-2)

y-2=-7x+14

+2 +2

y=-7x+16

5 0
3 years ago
If (x+iy)³ = y+vi then show that (y/x + v/y) = 4(x²-y²)​
Elenna [48]

Answer:

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
CAN SOMEONE PLEASE HELP ME WITH GRAPHING THIS? AND PLEASE EXPLAIN HOW TO GRAPH IT
vaieri [72.5K]
The dashed line is because the sign is greater than to be a solid line it has to be equal to or greater than and to the shading means any point on there works for the equation easiest way to test where you should shade is by plugging into the equation the point (0,0)

7 0
3 years ago
Other questions:
  • Who can get me the galaxy skin for free?
    5·1 answer
  • Which statements prove that a quadrilateral is a parallelogram?
    14·2 answers
  • Eileen collected 98 empty cans to recycle and carl collected 82 cans.they packed an equal number of cans into each of three boxe
    14·1 answer
  • Find x A. 46–√ B. 32 C. 43–√ D. 6–√
    9·1 answer
  • Which expression is equivalent to b to the negative two power divided by ab to the negative third power
    7·1 answer
  • What is the solution to -8 =-(x +4)​
    10·2 answers
  • three classes at a junior high school raised money to buy new computers •ms moore’s class raised $249.00 •ms aguilars class rais
    11·1 answer
  • The best approximation for square root of 10 Is<br> 25<br> 03.1<br> 05<br> 100
    9·2 answers
  • China drove 3,000 miles in 75 hours. At this rate, how long will it take her to drive 12,000 miles?
    5·1 answer
  • -7/10 + 7 2/3<br> show all ur work
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!