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
yulyashka [42]
3 years ago
13

Angle DEF is a right triangle. If FE = 12 and DE = 5, find DF.

Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
6 0

Answer:

Option D is correct.

side DF = 13 units

Step-by-step explanation:

Using Pythagoras theorem:

\text{Hypotenuse side}^2=\text{Opposite side}^2+\text{Adjacent side}^2          ....[1]

In a right angle triangle DEF:

FE = 12 units and DE = 5 units.

Using Pythagoras theorem on DEF we have;

Hypotenuse side = DF

Opposite side = DE and Adjacent side = FE

Substitute these in [1] we have;

DF^2 = 5^2+12^2 = 25 +144 = 169

⇒DF = \sqrt{169} = 13 units.

Therefore, the side DF = 13 units

Usimov [2.4K]3 years ago
3 0

c^2=a^2+b^2

c^2 = 12^2 + 5^2

C^2 = 144 +25

C^2 = 169

c=13

DF = 13

You might be interested in
Solve for slope / y intercept and write the equation please​
hichkok12 [17]

Answer:

Could you please put the values or a graph?

Step-by-step explanation:

6 0
3 years ago
Towers A and B are located 10 miles apart. A ranger spots a fire at a 42-degree angle from tower A. Another fire ranger spots th
steposvetlana [31]

Answer:

7.0 mi

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

A+B+C=180^o

substitute the given values

42^o+64^o+C=180^o

C=180^o-106^o=74^o

step 2

Find the measure of a

Applying the law of sines

\frac{c}{sin(C)}=\frac{a}{sin(A)}

substitute the given values

\frac{10}{sin(74^o)}=\frac{a}{sin(42^o)}

solve for a

a=\frac{10}{sin(74^o)}sin(42^o)

a=7.0\ mi

6 0
4 years ago
Read 2 more answers
Help please this is due Friday
alexdok [17]
X=0.697
x=4.30
Hope this helps
7 0
4 years ago
I need y’all help plz
kompoz [17]

The answer is B, 6.1558

3 0
3 years ago
The cost split among 4 people
vlada-n [284]

Answer:1 dollar each

Step-by-step explanation:

3 0
4 years ago
Other questions:
  • The drama club at Del Rosa Middle School is having a production.
    11·1 answer
  • A tax on which of these products or services would not be considered a "sin tax"? A. Tobacco B. Alcohol C. Furniture. D. Gamblin
    15·2 answers
  • Fill in the blanks with the correct word to complete the sentence
    7·1 answer
  • Which term describes the segment in which two faces of a polyhedron meet?
    13·2 answers
  • What is 856 divided by 82
    8·2 answers
  • Any line with no slope is parllel to the<br>A) X-axis <br>B) Y-axis <br>C) Line y=x
    7·1 answer
  • A un carpintero le encargaron cambiar la forma de una mesa, de circular a cuadrada. El radio de la mesa mide 2 m y los lados del
    13·1 answer
  • Arrange to Least to Greatest:<br> 1.4, 0, 0.14, 1/4, 1, -1/4
    12·1 answer
  • BRAINLIEST IF CORRECT
    5·1 answer
  • The batteries from a certain manufacturer have a mean lifetime of 850 hours, with a standard deviation of 70 hours, assuming tha
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!