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
Rename the number 82000
Mrrafil [7]
<span>a few ways to rename 82 thousands is 82,000 or eighty-two thousands.</span>
6 0
3 years ago
Read 2 more answers
HELP PLSSSSSESSSSSSSSSSSS
bekas [8.4K]

Answer:

Step-by-step explanation:

10(3)+2(10)(4)+2(3)(4)=30+80+24

                                =134

8 0
2 years ago
The gas tank in dad’s car holds 12 gallons. The gas tank in mom’s truck holds 50% more than that. How much gas does the truck’s
sweet [91]

Answer:

<h2>Below, Hope this helps :)</h2>

Step-by-step explanation:

The variable t represents the amount of gas in mom's truck. Since we need to find a number that is 50% more than 12, we use 1.5 (we would use 2 if we want 100% more, so it makes sense that we use 1.5, since we want to add 1/2 of 12 to 12. The answer is 18.)

6 0
3 years ago
Find the equation of a line parallel to – 2y = –2 – 2x that passes through the<br> point (9,-9).
riadik2000 [5.3K]

Answer:

2y + 2x = 0

Step-by-step explanation:

First you have to find the slope of the line.

Parallel lines have same slope

2y = -2-2x

y=-1-1x, y=-1x-1

slope = -1

Use point slope formula

y-y=m(x-x)

y-(-9) = -1(x-9)

y+9 = -1(x-9)

y+9 = -1x+9

y = -x

y + x = 0

2y + 2x = 0

7 0
2 years ago
Which measurement is the most precise? A) 29 cm B) 28.8 cm Eliminate C) 28.76 cm D) 28.762 cm
ioda

Answer:

D) 28.762 cm

Step-by-step explanation:


5 0
3 years ago
Other questions:
  • The table shows partial results of a survey about students who speak foreign languages.
    9·2 answers
  • What is the value of a in the equation 3a + b = 54, when b = 9?
    10·2 answers
  • I Really Need help in this Problem
    9·1 answer
  • Please help!!!! ILL MARK YOU AS BRAINLIEST IF CORRECT
    6·2 answers
  • Find the difference of the two expressions. (23x+2)−(13x−4)
    12·1 answer
  • 7 = -10s -3 for iready
    7·1 answer
  • Here is a list of numbers: <br> 10, 16, 19, 16, 2, 4, 8 ,16 ,20 <br> State the median.
    11·2 answers
  • I need help, please. I will try to give brainliest!!!
    13·1 answer
  • HELP ASAP ASAP!! NO LINKS PLEASEEEE OR U WILL BE REPORTED, I NEED AN ANSWER, WILL GIVE BRAINIEST!!
    5·1 answer
  • Find all solutions to the equation. cos x = - 1/2
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!