If segment DF is an angle bisector, solve for x

If Segment DF Is An Angle Bisector, Solve For X

Answers

Answer 1

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

[tex]\frac{DE}{DG}[/tex] = [tex]\frac{EF}{GF}[/tex] , substitute values

[tex]\frac{25}{22.5}[/tex] = [tex]\frac{x-9}{9}[/tex] ( cross- multiply )

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

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

x = 19


Related Questions

Can someone help hurryy!!

Answers

Answer:

32km

Step-by-step explanation:

An octagon has 8 sides. 8 * 4 = 32

Answer:

32km

Step-by-step explanation:

To calculate the perimeter of a polygon, just add all of the sides together.

In this case, take 4 and multiply it by 8 (since there are 8 sides)

4km x 8 = 32km

y = -3x + 4
y = 3x - 2
graph​

Answers

Answer:

Look at the graph bellow

Step-by-step explanation:

use the slope and y-intercept to graph.

The sales tax in one town is 8%. So, the total cost of an item can be written as c+0.08c. What is the total cost of an item that sells for 12?

Answers

Answer:

12.96c

Step-by-step explanation:

Given the total cost of an item  written as c+0.08c. To get the total cost of an item that sells for 12, we will write;

1 item = c+0.08c

1 item = 1.08c

For 12items;

12 = x

Divide both expressions

1/12 = 1.08c/x

1 * x = 12 * 1.08c

x= 12.96c

Hence the total cost of 212 items is 12.96c

A flagpole casts a shadow 15 feet long. Brad is 6 feet tall. If Brad casts a 4.5ft shadow, how tall is the flag pole? (Will mark brainliest!!)

Answers

Answer is 20 ft tall

find the hcf of 52 and 117 and express it in the form of 52x + 117y​

Answers

i think the answer is 13(4x+9y)
Hope this helps you :):):)

Camden is going to invest $600 and leave it in an account for 12 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Camden to end up with $920?

Answers

Answer:

320 i think lol

Step-by-step explanation:

Answer:

3.56

 

Step-by-step explanation:

HELP ME ASAP !!!!!!!*

Answers

add her scores together and divide by 3
85+70+98=253
253 divide by 3 is 84.33

Answer:

d is correct i think

Step-by-step explanation:

My brain aint working

The vertex of a parabola is (-1, -8) and the zeros are (-5, 3) Determine the equation of the parabola in standard and factored form

Answers

Answer:

Part A

The equation of the parabola in standard form is f(x) = 0.5·x² + x - 7.5

Part B

The equation of the parabola in factored form is f(x) = 0.5·(x + 5)·(x - 3)

Step-by-step explanation:

The coordinates of the vertex of the parabola, (h, k) = (-1, -8)

The zeros of the parabola = -5, 3

Part A

The quadratic equation representing the parabola can be written as follows;

y = a·(x - h)² + k

The standard form of the equation is f(x) = a·x² + b·x + c

k = c - b²/(4·a)

h = -b/(2·a)

c = k + a·h² = -8 + a

From the zeros of the parabola, we have;

f(-5) = a × (-5)² + b×(-5) + c = 25·a - 5·b + c = 0

f(3) = a × (3)² + b×(3) + c = 9·a + 3·b + c = 0

Therefore, we have;

25·a - 5·b + c = 0...(1)

9·a + 3·b + c = 0...(2)

From which we have;

25·a - 5·b + c = 25·a - 5·b - 8 + a = 26·a - 5·b - 8 = 0

9·a + 3·b + c = 9·a + 3·b - 8 + a = 10·a + 3·b - 8 = 0

We then have;

26·a - 5·b = 8...(3)

10·a + 3·b = 8...(4)

Making 'b', the subject of both equations (3) and (4), equating the values, we find the value of 'a' as follows;

From equation (3), we have;

26·a - 5·b = 8

∴ b = (26·a - 8)/5

From equation (4), we have;

10·a + 3·b = 8

∴ b = (8 - 10·a)/3

From b = b, by transitive property, we have;

(26·a - 8)/5 = (8 - 10·a)/3

3 × (26·a - 8) = 5 × (8 - 10·a)

78·a - 24 = 40 - 50·a

∴ 128·a = 64

a = 64/128 = 1/2 = 0.5

a = 0.5

∴ b = (26·a - 8)/5 = (26 × 0.5  - 8)/5 = (13 - 8)/5 = 1

b = 1

c = -8 + a

∴ c = -8 + 0.5 = -7.5

c = -7.5

The equation of the parabola in standard form is therefore presented as follows;

f(x) = 0.5·x² + x - 7.5

Part B

The equation of the parabola in factored form is given as follows;

With the aid of a graphing calculator, we have;

f(x) = 0.5·x² + x - 7.5 = 0.5×(x² + 2·x - 15) = 0.5·(x + 5)·(x - 3)

The equation of the parabola in factored form is f(x) = 0.5·(x + 5)·(x - 3)

Help please
Will give brainest

Answers

Answer:

first option

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] then

[tex]5^4)^{3}[/tex] = [tex]5^{4(3)}[/tex] = [tex]5^{12}[/tex]

Find the missing angles?

Answers

Answer:

100°

Step-by-step explanation:

Since x and the 100 degree angle which is highlighted in blue are vertical to each other, they are parallel to each other as it is vertically opposite angles.

If they are parallel, it means

Angle highlighted in blue = 100°

x = 100°


Write
9 3/5
as an improper fraction.

Answers

48/5

9x5+3 divide by 5

45+3 divide by 5

48/5

Answer:

48/5

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

5 × 9 = 45

Step 2

Add the answer from Step 1 to the numerator

45 + 3 = 48

Step 3

Write answer from Step 2 over the denominator

48/5

Urgent plz answer this u will get 10 points

Answers

Wouldn't you just put 1 and 1 in the boxes?

Answer:

the answer is 1+1 + 3/4= 2 3/4

Step-by-step explanation:

all you do is add the ones an leave the fraction the same

need this one 3.97x62.4

Answers

Answer:

247.728

Step-by-step explanation:

(3.97)(62.4)

=247.728

How do the asymptote and intercept of the given function compare to the asymptote and intercept of the function f(x) = 5 ^ x ? a. g(x) = 5 ^ (x + 3) b. h(x) = 5 ^ (- x)

Please help me

Answers

Answer:

Step-by-step explanation:

Asymptote is the x axis for both functions. the y intercept is translated up to 125

What is a function?

A relation is a function if it has only One y-value for each x-value.

The asymptote and intercept of the given function compare to the asymptote and intercept of the function f(x) = 5ˣ

To find x- or y-intercepts, set the other variable equal to zero and solve in turn.

To find y-intercept: set x = 0 and solve for y. The point will be (0, y). To find x-intercept: set y = 0 and solve for x. The point will be (x, 0).

The asymptote is the x axis for both functions. the y intercept is translated up to 125.

Hence, asymptote is the x axis for both functions. the y intercept is translated up to 125.

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ2

The slope is -8. The point
(3, 12) lies on the line. What is the equation for each linear

Answers

Answer: y=-8x+36

Step-By-Step:
y=-8x+b
12=-8(3)+b
12=-24+b
b=36

5. Anthony has 80 pine tree seedlings to plant in his meadow. He first plants one row of 12
seedlings and then begins to plant the seedlings in uniform clusters after that.
If each cluster must include 5 seedlings, how many clusters of 5 can Anthony plant?
A. 11 clusters
B. 13 clusters
C. 14 clusters
D. 16 clusters

Answers

D. 16 clusters
Hope it helps

A triangle with Side lengths a units, b units, and c units is shown.
WHICH EQUATION IS TRUE FOR THE TRIANGLE?
A- Sin (55°)=a/c
B- Cos(55°)=c/b
C- Cos(55°)=a/b
D- Tan(55°)=c/a
Will give brainliest!

Answers

Option A  is the correct answer because the ratio between the opposite side and the hypotenuse side is correct.

Triangle :

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle. Therefore, this triangle is also called the right triangle or 90-degree triangle. The right triangle plays an important role in trigonometry. Let us learn more about this triangle in this article.

A triangle with Side lengths a unit, b units, and c units.

"Opposite" is opposite to the angle θ

"Adjacent" is adjacent (next to) to the angle θ

"Hypotenuse" is the long one

A)

Sin 55 = a/c

Sin  θ = opposite / hypotenuse

Option A ) is correct  Sin 55 = a/c  

B)

Cos(55°)=c/b

Cos θ =  Adjacent / hypotenuse

Cos 55 = c/ b is not equal to the Adjacent / hypotenuse

Option B)  is not a correct answer because the ratio is between  Adjacent and Hypotenuse.  

C)

Cos(55°)=a/b

Cos θ =  Adjacent / hypotenuse

Cos 55 = a/ b is not equal to the Adjacent / hypotenuse

Option C)  is not a correct answer because the ratio is between Adjacent and Hypotenuse.  

D)

Tan(55°)=c/a

Tan θ  = Opposite / Adjacent

Tan 55 =  c/a is not equal to the  Opposite / Adjacent

Option D)  is not a correct answer because the ratio is between Opposite and Adjacent.  

Learn more about Trignometry : brainly.com/question/22986150

#SPJ1

A cartoonist has 150 pieces of original
artwork to give to his publishers and
some fans who won his online contest.
He plans to send 30 drawings to his
publishers. He is sending at least
3 pieces of artwork to each contest
winner. How many contest winners
could there be?

Answers

Answer:

25

Step-by-step explanation:

150 divided by 30 times 5

Hope this helps. I May be wrong though.

25 divide the anwser

Multiplying by which number is equivalent to an increase of 23% ?

Answers

Answer:

1.23

Step-by-step explanation:

Increase by 23%

x + 23% of x = x + (23/100)x = x + 0.23x = (1 + 0.23)x = 1.23x

1.23 is the answer

Select the expression that has a value of 23.

6 + (9 x 3) ÷ 3 + 8
(6 + 9) + 3 ÷ 3 + 8
6 + 9 x 3 ÷ (3 + 8)
(6 x 9 x 3) ÷ 3 + 8

Answers

i believe the first one which is:
6 + (9 x 3) ÷ 3 + 8
I think its the first choice, the other choices dont seem right to me

HELP MY LITTLE SISTA BC ION HELPIN HA a periodt

Answers

Answer:

1/3 is less than 1/2

Step-by-step explanation:

1/3 = .333

1/2 = .5

Answer:

Imaoo

1/3 is less than 1/2

Step-by-step explanation:

1/3 = .333

1/2 = .5

brainliest please? :)

Can someone help with explanation?

Answers

Answer:

Step-by-step explanation:

multiply 7 times 4 then you add that when you

add 4+1=5 then you multiply those two

en un gimnasio pusieron 27 filas de sillas . en cada fila pusieron 48 sillas , cuantas sillas se pusieron en el gimnasio?

Answers

Answer:

1296

Step-by-step explanation:

Answer:

what i dont understand the word

I NEED THIS ANSWERED QUICKKKK

Answers

Answer:

2/4=4/8

Step-by-step explanation:

you do 2×2=4 and 4×2=8. You multiply both denominators by 2.

In order to become a member of the library all star members club there is a $40 signup fee and a $2 monthly fee

Answers

Answer:

do you need an equation? if so it would be 2x+40

Step-by-step explanation:

(m - 8) ÷ 2 in standard form (no links)

Answers

Answer:

1/2m - 4

Step-by-step explanation:

need help on geometry would be VERY useful

Answers

Answer:

y = 7, x ≈ 9.9

Step-by-step explanation:

The remaining angle has to also be 45° which tells us we're working with an isosceles right triangle, or that y also has to be 7 (the same length).

Use the Pythagorean theorem for x.

a^2 + b^2 = x^2

7^2 + 7^2 = x^2

49 + 49 = x^2

x^2 = 98

x ≈ 9.9

PLZZZ FASTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Answers

Answer:

130°

130-67=

63÷3=

21

x=21

Select the correct answer.
A machining company needs to manufacture more than 20 fixtures in a day. The company uses five identical machines to make the fixtures. If each machine produces x fixtures, which inequality represents this situation?
A.
5x > 20
B.
5x < 20
C.
5x > 20 + 5
D.
5x < 20 + 5

Answers

Answer:

I thinks its D.

Step-by-step explanation:

y=46(1.034) x growth or decay

Answers

Answer:

growth

Step-by-step explanation:

1.034 < 1 means the number will get larger

Answer:

Step-by-step explanation:

Since the ratio or rate is greater than one this is an exponential growth function

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