image In the figure, is the segment bisector of AB such that AP = 15x – 11 and PB = 9x + 25. Find the value of x. Question 5 options: A) 6 B) 5 C) 7∕3 D) 10

Answers

Answer 1

Answer:

[tex]x =6[/tex]

Step-by-step explanation:

Given

Bisected Sector AB;

AP = 15x - 11

PB = 9x + 25

Required

Find x

When a sector is bisected, it means the sector is divided equally into two;

Hence [tex]AP = PB[/tex]

This gives

[tex]15x - 11 = 9x + 25[/tex]

Add 11 to both sides

[tex]15x - 11 + 11 = 9x + 25 + 11[/tex]

[tex]15x = 9x + 25 + 11[/tex]

[tex]15x = 9x + 36[/tex]

Subtract 9x from both sides

[tex]15x - 9x = 9x + 36 - 9x[/tex]

[tex]15x - 9x = 9x - 9x + 36[/tex]

[tex]6x = 36[/tex]

Divide through by 6

[tex]\frac{6x}{6} = \frac{36}{6}[/tex]

[tex]x = \frac{36}{6}[/tex]

[tex]x =6[/tex]

Hence, the value of x is 6

Answer 2

Answer:

x=6

Step-by-step explanation:

15x-11=9x+25

15x-9x=25+11

6x=36

x=6


Related Questions

please help with this ! will give brainless

Answers

Answer:

x^13

2n^2x-5n^7

-6x^10-x

60s^7

6v^7

p^6

-4b^9/3

pls mark as brainliest if its right :)

In the figure below an angle that is supplementary to angel FAB is:

Thank you if you could help me <3 It’s geometry

Answers

Answer:

CAB

Step-by-step explanation:

Angle CAB and Angle FAB together make 180 degrees(straight angle) . A supplementary angles equal to 180 degrees.

Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?

Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.

Answers

Answer:

3 hours

Step-by-step explanation:

3/4 + 3(3/4) =4*(3/4) = 3

Can someone help me on this? I really need help badly.

Answers

Answer:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Step-by-step explanation:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Who much time would it take for a train accelerating at 21.5 m/s2 to go from
13.2 m/s to 38.9 m/s?

Answers

Answer:

Step-by-step explanation:

v=u+at

38.9=13.2+21.5 t

21.5 t=38.9-13.2

21.5 t=25.7

t=25.7/21.5≈1.195 s

Answer:

To find the time taken, we use the equation:

v

=Then to find the time taken, we use the equation:

v = u + at

where:

v is the final velocity of the train

u is the initial velocity of the train

a is the train's acceleration

t is the time taken

So, we get:

t = (v-u)/a

t = (38.9 - 13.2)/21.5

t = 25.7/21.5

t = 1.19 seconds

Find distance of each

Answers

Answer:

6 units

Step-by-step explanation:

Since the x coordinate is the same, we only have to look at the difference of the y coordinates

2 - -4

2+4

6

The distance is 6 units

Answer:

the answer is 6 units

Step-by-step explanation:

x-y+z for x= 18,y=6,z=1

Answers

Answer:

We have been given the equation: x+y+z. Now these are variables. Thus, we have to fill in the values given: where x = 18, y = 6 and z = 1. Let's fill these values in.

x+y+z

= 18+6+1

= 18+(7)

= 25

Hope it Helps. Good luck on your assignment! (brainliest if possible)

Answer:

[tex] = 25[/tex]

Step-by-step explanation:

[tex]x + y + z[/tex]

Given that,

[tex]x = 18 \\ y = 6 \\ z = 1[/tex]

Let's solve

[tex]x + y + z \\ 18 + 6 + 1 \\ 24 + 1 \\ = 25[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

152 divided by 1,000

Answers

Answer:

0.152

Step-by-step explanation:

152 divided by 1,000 equals around 0.152.

The calculated division of the numbers 152 divided by 1000 is 19/125

How to calculate the division of the numbers

From the question, we have the following parameters that can be used in our computation:

152 divided by 1000

When represented as an equation, we have

152 divided by 1000 = 152/1000

Divide 7 by 4

So, we have the following result

152 divided by 1000 = 19/125

Using the above as a guide, we have the following:

the result is 19/125

Read more about quotient at

brainly.com/question/11418015

#SPJ6

Given that the radius of Mars is approximately 3.4 * 10 kilometres (3400 km). Find its
volume to three decimal places.

Answers

Answer:

Volume V = 164,636,210,208.924 km^3

Step-by-step explanation:

Volume of a sphere is;

V = (4/3)πr^3

radius r = 3400 km

Volume of mars V = (4/3)π×3400^3

V = 164,636,210,208.924 km^3

A knitting group used 248 yards of yarn to Knit tassels for snow hats. If 1/2 yard of yarn is used for each tassel,how many tassels did the Knitting group make?

Answers

Answer:

124

Because If u divide 248 by 2 you get 124

What are the resulting vertices of triangle E′F′G′ after rotating triangle EFG 180° about the origin? answers: A) E′ (3, 1), F′ (1, –2), G′(–1, 4) B) E′ (3, 1), F′ (–2, –1), G′(–1, 4) C) E′ (1, 3), F′ (–2, 1), G′(–1, 4) D) E′ (3, 1), F′ (–2, 1), G′(4, –1)

Answers

Answer:

E' (3, 1)

F' (-2, -1)

G' (-1, 4)

Step-by-step explanation:

The rule for rotating 180° is (x, y) ⇒ (-x, -y)

E is at (-3, -1). When the rule is applied, E' is at (3, 1)

F is at (2, 1). When the rule is applied, F' is at (-2, -1)

G is at (1, -4). When the rule is applied, G' is at (-1, 4)

:)

The vertices of the triangle after rotation are:-

E' (3, 1)

F' (-2, -1)

G' (-1, 4)

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation.

The concept of rotation in mathematics has its roots in geometry. Any rotation is a movement of a certain area while maintaining at least one point. It may be used to describe, for instance, how a rigid body moves around a fixed point.

The rule for rotating 180° is (x, y) ⇒ (-x, -y)

E is at (-3, -1). When the rule is applied, E' is at (3, 1)

F is at (2, 1). When the rule is applied, F' is at (-2, -1)

G is at (1, -4). When the rule is applied, G' is at (-1, 4)

Therefore, the vertices of the triangle after rotation are E' (3, 1), F' (-2, -1) and, G' (-1, 4).

To know more about translation follow

https://brainly.com/question/28393968

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A golfer exerts a force of 15.0 N on a golf ball that has a mass of 0.42 kg. What is the golf
ball's acceleration?

Answers

Answer:

35.71m/s²

Step-by-step explanation:

using the formula force(F)=mass(m)×acceleration(a)

a =

[tex] \frac{f}{m} [/tex]

F=15.0N

m=0.42kg

a=?

a=15÷0.42

a=35.71m/s²

Answer:

C

Step-by-step explanation:


Solve the following quadratic equation using the quadratic formula.
5x^2– 8x+ 5 = 0
Write the solutions in the following form, where r, s, and tare integers, and the fractions are in simplest form.
R+ si/t, x=r+si/t

Answers

Answer:

Either

x = 4+3i /5   or     x = 4-3i /5

Step-by-step explanation:

To solve the quadratic equation using the quadratic formula, we will follow the steps below;

write down the quadratic formula;

x = -b±√b² - 4ac   /2a

First lets compare the equation 5x² - 8x + 5 = 0  to the standard quadratic equation  ax² + bx + c

a = 5  b = -8  and c= 5

we can now proceed to substitute the above value into the quadratic formula and then solve. That is;

x = -b±√b² - 4ac   /2a

   = -(-8)±√(-8)² - 4(5)(5)   /2(5)

    = 8 ±√64-100 /10

   =8 ±√-36  /10

    = 8 ±√36 . √-1    /10                           note that √-1 = i

      =8±6i   /10

       =[tex]\frac{8}{10}[/tex]  ± [tex]\frac{6 i}{10}[/tex]

         =[tex]\frac{4}{5}[/tex] ±[tex]\frac{3i}{5}[/tex]

         

Either

x = 4+3i /5   or     x = 4-3i /5

Answer:

answer in picture

Step-by-step explanation:

-5/6+2/6=
What is the answer to this?

Answers

Step-by-step explanation:

Since they have a common denominator the answer is (-5 + 2) / 6 = -3 / 6 = -1/2.

Answer:

-1/2

Step-by-step explanation:

2/6-5/6=

(-(5-2))/6=

-3/6:

-3/3=-1

6/3=2

-3/6=-1/2

What is the ratio of quadrilaterals to shapes?Write the ratio as a fraction using the / symbol.

Answers

If the side on one shape is a and the side on the other shape is b, a common ratio between the two shapes r will exist so that a = b × r. Thus, to find a common ratio simply divide one corresponding side's length by the other: r = a ÷ b. It's as simple as that.

Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of water?

Answers

Answer:

There are 11 g of drink mix for every ounce of water.

Step-by-step explanation:

In order to calculate the unit rate in grams of drink mix for ounces of water of any type of drink, we need to divide the mass of drink mix in grams by the mass of water in ounces. In this case there are mixed fractions, we will first convert them to fractions, to do that we sum the fraction part with the integer one.

[tex]mix = 19 + \frac{1}{4}\\\\mix = \frac{77}{4}[/tex]

[tex]water = 1 + \frac{3}{4}\\\\water = \frac{7}{4}[/tex]

The rate is:

[tex]rate = \frac{mix}{water}\\\\rate = \frac{\frac{77}{4}}{\frac{7}{4}}\\\\rate = \frac{77}{7}\\\\rate = 11[/tex]

There are 11 g of drink mix for every ounce of water.

Answer:

There are 11 g of drink mix for every ounce of water.

please help and explain i will mark brainliesttt!

Answers

Answer:

y=(8/5)x-(24/5)

Step-by-step explanation:

lets find the slope

m=(y2-y1)/(x2-x1)

m=(8-0)/(8-3)

m=8/5

y=(8/5)x+b

lets find b, the y-int by plugging in a point

0=(8/5)*3+b

0=24/5+b

b=-24/5

y=(8/5)x-(24/5)

if cos 67 degrees is close to 2/5 which is closest to the length of no

PO=100cm
P=23 degrees

Answers

Answer:

40 cm

Step-by-step explanation:

In the right triangle PNO:

∠N = 90°PO = 100cm  (the hypotenuse of the triangle)∠P = 23°∠O = 90° - 23° = 67°side NO is adjacent to ∠O

By definition:

cos(β) = adjacent/hypotenuse

Replacing with data and solving for NO:

cos(∠O) = NO/PO

2/5 = NO/100

NO = (2/5)*100

NO = 40

HI!!! I just finished the unit 7 lesson 11 unit test!! Here are the answers: :)

1. A: 2

2. C: 225

3. C: pi/4

4. A: -465

5. C: 0

6. B: 210

7. B: 2pi

8. A: 52

9. C: 40

10. C: 3rd graph

11. A: y=sin pi/265

12. B: 1/4pi

13. D: y=3cos2

14. A: sqrt3/3

15. C: 0

16. C: 3rd graph

17. A: 187

18. C: sqrt2/2

19. B: 1+sin theta

20. D: 45

21. D: 0.64

22. A:80

23. C: pi/2, 5pi/4, 3pi/2, 7pi/4

24. C: csc theta =13/12, sec theta= 13/5

hope this helps someone :)))


George is reading a book. At the end of 3 hours he has read 90 pages, and at the end of 5
hours he has read 238 pages. What is the average rate of change? Type your numerical
answer below.

Answers

Answer:

74 pages/hour

Step-by-step explanation:

The average rate of change is the difference in the numbers of pages  divided by the difference in the numbers of hours.

At the end of 3 hours, 90 pages were read.

At he end of 5 hours, 238 pages were read.

Difference in hours: 5 hours - 3 hours = 2 hours.

Difference in pages: 238 pages - 90 pages = 148 pages

The average rate of change is the difference in pages divided by the difference in hours.

average rate of change = (148 pages)/(2 hours) = 74 pages/hour


Which of the following has the smallest value?

19%
0.9
1/4

Answers

0.9 has the smallest value
I think 0.9 ........

59:52
Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end?

Answers

Answer: A line is the undefined geometric term is described as a two-dimensional set of points that has no beginning or end.

A line is an undefined geometric term that is described as a two dimensional set of points that has no beginning or end

What is the value of x?
A-14
B-15
C-16
D-17

Answers

Answer:

A

Step-by-step explanation:

The answer is a because first you need to add up 110+110+70

You would get 290

Then subtract 360-290

You would get 70

Divide 70/5

You get 14, the answer.

Answer: A

Step-by-step explanation:

What is the solution for x in the equation? 4x − 3 + 5 = 2x + 7 − 8x

Answers

Answer:

4x+2= -6x+7

4x+6x=7-2

10x=5

x=1/2

Step-by-step explanation:

The answer is x=.5 you can download and use Photomath to scan the question and that will tell you how to do its step by step

Find the approximate circumference of a circle with a diameter of 80 yards.
251 yards
502 yards
126 yards
25 yards

Answers

________________________________

Solution,

Diameter (d)=80 yards

Radius(r)=80/2=40 yards

Circumference of circle=?

Now,

Circumference of circle=2 pi r

=2*3.14*40

=251.2 yards.

The right answer is 251 yards.

Hope it helps...

Good luck on your assignment

_____________________________

y > -1/3x -1 as a graph

Answers

Step-by-step explanation:

Is this the graph you needed??

The dots are the shaded region

3a) What is the side length of the following square?*

Answers

Answer:

5.831

Step-by-step explanation:

This is a similar problem to the last 2 you posted.

Start at bottom vertex. Go up 5. Go left 3.

c^2 = a^2 + b^2

c^2 = 5^2 + 3^2

c^2 = 25 + 9

c^2 = 34

c = sqrt(34)

c = 5.831

 What are the similarities and differences between the standard form and vertex form of a quadratic equation?

Answers

Step-by-step explanation:

Standard form is ax^2 + bx + c. Vertex form is a(x-h)^2 + k, which reveals the vertex and axis of symmetry. Factored form is a(x-r)(x-s), which reveals the roots.

which phrase best describes a theorem in an axiomatic system?

Answers

Answer:

The best phrase that describes a theorem in axiomatic system is :

A statement proven to be true using logic

Axiomatic system is a set of axiom  in which the axioms are derived from logic

hope this helps

Answer:

A statement proven to be true using logic

Axiomatic system is a set of axiom  in which the axioms are derived from logic

What is the answer of 135=-9x+9?

Answers

Answer:

x=-14

Step-by-step explanation:

move all the terms that don't  contain x to the right side and solve.

(idk if this is correct but i hope it helps)

Answer:

Please mark me brainliest and I hope this helped!

X = -14

Step-by-step explanation:

First, we want to isolate the variable. So we subtract 9 from both sides and that gives us 126= -9. Now we divide both sides by -9. That gives us -14=x. So the answer is:

x = -14

f (x) = x² + 10x + 24.
Help plzz !!

Answers

Answer:

Consider the form

x

2

+

b

x

+

c

x2+bx+c

. Find a pair of integers whose product is

c

c

and whose sum is

b

b

. In this case, whose product is

24

-24

and whose sum is

10

-10

.

12

,

2

-12,2

Write the factored form using these integers.

(

x

12

)

(

x

+

2

)

(x-12)(x+2)

Answer:

[tex]f(x)=x+5x^{2} -1[/tex]

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