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
bija089 [108]
3 years ago
12

Angle CAB=90 AB=AC=DE BD=9 CE=8 Find DE

Mathematics
1 answer:
zalisa [80]3 years ago
3 0

Answer:

  29

Step-by-step explanation:

Let x represent the length of DE. Then ...

  AB = x

  AD = AB -BD = x - 9

__

  AC = x

  AE = AC -CE = x - 8

And the Pythagorean theorem applied to triangle ADE tells us ...

  x^2 = (x -9)^2 +(x -8)^2

  0 = x^2 -34x +145 = (x -5)(x -29)

Solutions are the values of x that make a factor zero: 5 or 29.

The length of DE must be greater than 9, so the appropriate solution from the above equation is x = 29.

The length of DE is 29.

You might be interested in
Can someone help me plz
galben [10]

Step-by-step explanation:

the answer is in the image above

6 0
3 years ago
Based on the table, what is Nick's rate?
Nookie1986 [14]
7 yrds/sec because in the course of two seconds, he runs 14 yrds divide that by 2 to get 7 yrds/sec. you can allo chech with the next time which is 3 seconds more and he goes 21 yards more.
5 0
3 years ago
Describe the end behavior of the function:<br> f(x) = 1/2*2^x +3
suter [353]
Although there is (1/2) in the front of the expression, the base is 2, not (1/2). (1/2) is a positive number, and 2 is a positive number larger than 1, so as x approaches infinity, f(x) approaches infinity as well. as x approaches negative infinity, f(x) approaches 3.
7 0
3 years ago
I-Ready
julsineya [31]

i have this exact screen and i dont know the answer

8 0
3 years ago
Solve the inequality and enter your solution as an inequality in the box below.
PSYCHO15rus [73]

Answer:

x > -10

Step-by-step explanation:

2 + x > -8

x > -8 - 2

x > -10

8 0
2 years ago
Read 2 more answers
Other questions:
  • Dylan is six years older than his sister. If his sister's age is represented by the variable s, which of the following expressio
    7·1 answer
  • What value of (m) makes this equation true​
    10·1 answer
  • I need the answer please please please
    14·1 answer
  • Jane is trying to estimate the average electric bill amount of people who live in Las Cruces in summer time. She randomly select
    5·1 answer
  • A right circular cylinder has a height of 2214 ft and a diameter 225 times its height.
    6·2 answers
  • Solve following problems <br><br> (2x + 5)/(5x + 2)<br><br> and <br><br> (4 - 3x) / ( 3x - 4)
    6·1 answer
  • LOOK HERE IF YOU ANSWER CORRECTLY YOU PASS 8th grade
    12·1 answer
  • 45 is 15% of what number
    8·2 answers
  • Rewrite the equation below so that it does not have fractions.
    12·1 answer
  • Please help me with this #6
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!