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
Dimas [21]
3 years ago
6

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 opt

ions: A) 6 B) 5 C) 7∕3 D) 10
Mathematics
2 answers:
podryga [215]3 years ago
7 0

Answer:

x =6

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 AP = PB

This gives

15x - 11 = 9x + 25

Add 11 to both sides

15x - 11 + 11 = 9x + 25 + 11

15x = 9x + 25 + 11

15x = 9x + 36

Subtract 9x from both sides

15x - 9x = 9x + 36 - 9x

15x - 9x = 9x - 9x + 36

6x = 36

Divide through by 6

\frac{6x}{6} = \frac{36}{6}

x = \frac{36}{6}

x =6

Hence, the value of x is 6

Dafna1 [17]3 years ago
6 0

Answer:

x=6

Step-by-step explanation:

15x-11=9x+25

15x-9x=25+11

6x=36

x=6

You might be interested in
What is 10450 rounded to the nearest hundred
Drupady [299]
10,500 I believe , you would round 459 to 500
7 0
4 years ago
Read 2 more answers
The length of the top of a table is 3 m greater than the width. The area is 70 m^2. Find the dimensions of the table.
Keith_Richards [23]

Let's call the width x. Since the length is three more than the width, it is x+3.


The area (which we know to be 70) is given by the multiplication of width and length:


x(x+3) = 70 \iff x^2+3x = 70 \iff x^2+3x-70 = 0


To solve this equation, you can use the usual quadratic formula: given an equation ax^2+bx+c=0, the two solutions are


x_{1,2} = \frac{-b\pm\sqrt{b^2-4ac}}{2a}


which in your case becomes


x_{1,2} = \frac{-3\pm\sqrt{9+280}}{2}  = \frac{-3\pm 17}{2}


So, two solutions are


\frac{-3-17}{20} = -10,\qquad \frac{-3+17}{2} = 7


Since we can't accept a negative length, we only accept the second solution.


So, the dimensions are 7 and 10

5 0
4 years ago
Read 2 more answers
Can anyone help me with this?
yawa3891 [41]

Answer:

Below.

Step-by-step explanation:

7)  c^2 = a^2 + b^2

15^2 = 11^2 + b^2

b^2 = 225 - 121 = 104

b = √104

= √4√26

= 2√26.m

8). 4^2 = a^2 + (√6)^2

a^2 = 16 - 6

a^2 = 10

a =  √10.

7 0
2 years ago
Please help me with NUMBER 7 !! Thank you so much! 20 points!! :))
mart [117]

Answer:

x<-3 or x>-1

Step by step explanation:

Start with -5x>15. To get x by itself, we have to divide each side by -5. When we do that we get x<-3. (Don't forget to flip the sign when dealing with negative  · and ÷.) Now answer the second equation. x-5>-6 To get x by itself, add 5 to both sides to get x>-1. Now we have x<3 or x>-1.

8 0
3 years ago
Question 6: 17 pts
Burka [1]

Answer:

Parent function is g(x) = x² a quadratic

Step-by-step explanation:

quadratic; translation down 4 units  

-4 means the vertex will move down 4

8 0
3 years ago
Other questions:
  • A $25,000 purchase decreases 12% in value per year. Determine the values of the purchase after 3 years and after 7 years.
    8·2 answers
  • Which one of the following is equivalent to 41/2 = 2?
    13·1 answer
  • Simplify the following expression.
    9·2 answers
  • Write the expressions as an equivalent power with a negative exponent. 1/49 and 27/125
    6·1 answer
  • Trevor is preparing dinner plates. He has 18 pieces of chicken and 14 rolls. If he wants to make all the plates identical withou
    11·1 answer
  • Simplify the expression:<br> t3 t²
    7·1 answer
  • An old billionaire is writing his will, and deciding how to distribute his nine estates among his three children. He wants to gi
    7·1 answer
  • At a real estate​ agency, an agent sold a house for ​$327,000. The commission rate is ​7.5% for the real estate agency and the c
    6·1 answer
  • The second term of an arithmetic sequence is -39. The rule a, = a -1 + 12 can be used to find the next term of the
    11·2 answers
  • <img src="https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B5x%2F8y%7D" id="TexFormula1" title="\sqrt[4]{5x/8y}" alt="\sqrt[4]{5x/8y}" al
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!