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
SIZIF [17.4K]
3 years ago
13

If segment DF is an angle bisector, solve for x

Mathematics
1 answer:
klasskru [66]3 years ago
8 0

Answer:

x = 19

Step-by-step explanation:

Since DF is an angle bisector then it divides the opposite sides into segments that are proportional to the other 2 sides, that is

\frac{DE}{DG} = \frac{EF}{GF} , substitute values

\frac{25}{22.5} = \frac{x-9}{9} ( cross- multiply )

22.5(x - 9) = 225 ( divide both sides by 22.5 )

x - 9 = 10 ( add 9 to both sides )

x = 19

You might be interested in
Ng the Zero Product Property<br> Warm-Up<br> Which are solutions of the equation (x + 5)(x-3) = 0?
Leto [7]

For this case we have a factorized quadratic equation. We equal each factor to zero and thus find the roots:

x + 5 = 0

Subtracting 5 from both sides we have:

x = -5

Thus, the first solution of the equation is:

x_ {1} = - 5

On the other hand we have:

x-3 = 0

Adding 3 to both sides:

x = 3

Thus, the second solution of the equation is:

x_ {2} = 3

Answer:

The solutions of the equation are:

x_ {1} = - 5\\x_ {2} = 3

7 0
3 years ago
The International Space Station orbits Earth at an altitude of 240 miles. If a camera were set up on the Space Station, how far
CaHeK987 [17]
<span>The International Space Station orbits Earth at an altitude of 240 miles. If a camera were set up on the Space Station,  Earth's horizon will be seen by the camera in a distance of </span><span>A. 480.31 miles.</span>
5 0
3 years ago
When the square of a certain number is diminished by 9 times the number the result is 36?
ArbitrLikvidat [17]
X²-9x=36
minus 36 both sides
x²-9x-36=0
what 2 numbers multiply to -36 and add to -9
-12 and 3
(x-12)(x+3)=0
set to zero
x-12=0
x=12

x+3=0
x=-3



the number is either -3 or 12
3 0
3 years ago
Factor completely 9r^3-72r^2
PtichkaEL [24]

Answer:

9r²(r - 8)

Step-by-step explanation:

Step 1: Write expression

9r³ - 72r²

Step 2: Factor out 9

9(r³ - 8r²)

Step 3: Factor out r²

9r²(r - 8)

6 0
3 years ago
Which equation is equivalent to
rosijanka [135]

Answer:

3 and 2 r equivalent i belive

5 0
3 years ago
Other questions:
  • Help please help stuck
    13·2 answers
  • What is -4 4/5 as a decimal
    15·1 answer
  • How does the surface area of the two separate figures differ from the surface area of the composite figure? Explain your answer.
    10·1 answer
  • in the diagram below ,R is located at (24,0) , N is located at (12,18) , T is located at (12,6) , and E is located at (18,15) .
    14·1 answer
  • What are 3 cups 7 ounces in ounces
    15·1 answer
  • A local hamburger shop sold a combined total of 719 hamburgers and cheeseburgers on Sunday.There were 69 more cheeseburgers sold
    6·2 answers
  • PLEASEPLEASEPLEASEPLEASEPLEASEPLEASE
    7·1 answer
  • Nelson covered the first 20 miles in 2 1/2 hours. What was his<br> average speed in miles per hour?
    12·1 answer
  • The science club is going to the space museum. The club consists of 27 students. If admission costs $6.50 for children ages 4-11
    9·1 answer
  • Anymore can solve this?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!