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
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:
x=6
Step-by-step explanation:
15x-11=9x+25
15x-9x=25+11
6x=36
x=6
in each diagram the line BD bisects angle ABC. Find the measure of angle ABC
Answer:
∠ ABC = 134°
Step-by-step explanation:
Given tat CD bisects ∠ ABC then
∠ DBC = ∠ ABD , substitute values
x - 33 = [tex]\frac{x}{2}[/tex] + 17 ( multiply through by 2 to clear the fraction )
2x - 66 = x + 34 ( subtract x from both sides )
x - 66 = 34 ( add 66 to both sides )
x = 100
Thus
∠ DBC = ∠ ABD = x - 33 = 100 - 33 = 67°
Hence
∠ ABC = ∠ DBC + ∠ ABD = 67° + 67° = 134°
Which graph represents the solution for the equation 1/6 x = -2x + 5?
The temperature on Monday was - 23 F . The temperature on Tuesday was 18 degrees higher. What was the temperature on Tuesday?
Answer: the Temperature on Tuesday is 13 degrees Celsius
What’s the vertex of y=1/3(x+2)^2-5
Answer:
vertex is (2,-5)
Step-by-step explanation:
y = a(x – h)^2 + k
the vertex is (h,k) in the equation h =2 and k = -5
350 people visited a zoo the zoo has four types of tickets the manager wants a sample of size 30, stratified by ticket type. how man teenagers should be in the sample *see attached*
Answer: 10
Step-by-step explanation:
Given the following :
Total number of visitors = 350
Sample size = 30
Number selected from each strata is given by:
(Strata size ÷ Total population) × sample size
From the cumulative frequency distribution :
Child - 90
Teen - (210 - 90) = 120
Adult - (350 - 210) = 140
Senior = 0
Strata size of teen = 120
Therefore, number of teen selected is ;
(120 ÷ 350) × 30
0.3428571 * 30 = 10.26 (10 visitors)
I don’t need you to explain just answer.
Answer:
-4 <x< -2
Step-by-step explanation:
you need to plot the line between -4 and -2
A bakery is 10 yards wide and 17 yards long. The baker wants to put a wooden shelf around the inside of the bakery. The wooden shelving costs $10.82 per yard. How much will the baker's shelf cost?
Answer:
$584.28
Step-by-step explanation:
first, add up the yards around the perimeter of the bakery. 10 + 10 + 17 + 17 = 54. Then, multiply 54 by 10.82 to get the cost of the shelf.
54 x 10.82 = 584.28
Which of the following points lies on the line y=x?
(-4,4)
(2,-2)
(-4,-4)
(-2,2)
Answer: -4, -4
Step-by-step explanation:
y=x means x and y are the same number in the coordinate, no matter if it’s positive or negative.
Rewrite using a negative exponent.
5/x ^2
Is there an easy way to solve (5x - 8y +7z) + (6y - 4x - 3z)???
I'll mark you as brainliest if you help me
Translation to French/Francais
Existe-t-il un moyen facile de résoudre (5x - 8y + 7z) + (6y - 4x - 3z) ???
Je te marquerai comme le plus intelligent si tu m'aides
Translation to Russian
Есть ли простой способ решить (5x - 8y + 7z) + (6y - 4x - 3z) ???
Я отмечу тебя как самого умного, если ты поможешь мне
Translation to Tamil
(5x - 8y + 7z) + (6y - 4x - 3z) தீர்க்க எளிதான வழி இருக்கிறதா ???
நீங்கள் எனக்கு உதவி செய்தால் நான் உங்களை மூளையாகக் குறிப்பேன்
______________________________
Hey!!
Solution,
(5x-8y+7z)+(6y-4x-3z)
= 5x-8y+7z+6y-4x-3z
= 5x-4x-8y+6y+7z-3z
= x-2y+4z
Hope it helps..
Good luck on your assignment
_____________________________
8. ABCD is a quadrilateral. Work out the size of y.
B
2y
A
68°
y +48°
D
C
Answer:
y+48degrees
Step-by-step explanation:
29 40 40 40 40 41 51 56 62 63 whats the interquarile range
Answer:
At a glance, we use the middle values and not sure if you have made the outer quartile numbers inclusive.
Based on you doing so we take the 56-40 = 16 range
If you haven't included outside numbers
We take the 63-29 = 34 range
Step-by-step explanation:
the diagram shows the diiferance between my home h and two towns
Answer:
a. 20 mins
b. 30 mins
c. 4mph
Answer:
a)30
b)40
c)36
Step-by-step explanation:
65°
6
B
с
?
BC
Round your answer to the nearest hundredth.
Answer:
5.44 = BC
Step-by-step explanation:
sin theta = opp /hypotenuse
sin 65 = BC / 6
6 sin 65 = BC
5.437846722 = BC
To the nearest hundredth
5.44 = BC
Which of the following is equal to the rational expression when x ≠ -6 ?
Answer:
X-6
Step-by-step explanation:
Just did this one
Which inequality is true?
A. 6 - pi > 3
B. pi + 3 < 6
C. 8 pi > 24
D. 12/pi > 4
Answer:
C.
Step-by-step explanation:
Round pi to 3.14 to get a rough estimate.
6 - 3.14 > 3 FALSE
3.14 + 3 < 6 FALSE
8 * 3.14 > 24 TRUE
12 ÷ 3.14 > 4 FALSE
help please i did a problem like this and got it wrong i honestly think im confusing the closed and open dots. can some one just please help
Answer:
It should be a "closed" dot facing the left side (towards the negative numbers)
Step-by-step explanation:
The graph will be a line segment with endpoints -1 and 1. Both endpoints are closed dots. This is to indicate we include the endpoints as part of the solution set. Everything between the endpoints is shaded in.
The answer in interval notation is [-1, 1]. The square brackets tell the reader to include the endpoints. This describes the interval from -1 to 1, inclusive of the endpoints.
How do we know to include the endpoints or not? By looking at the "or equal to" portion. If that is present, then we include the endpoint; otherwise, we exclude.
The original inequality [tex]|x| \le 1[/tex] is the same as [tex]-1 \le x \le 1[/tex]
The general rule is [tex]|x| \le k[/tex] turns into [tex]-k \le x \le k[/tex] for some positive number k.
Are the following two figures similar or congruent?
A. Congruent
B. Similar
Please help me with this
Answer:
B. Similar
Step-by-step explanation:
Congruent triangles have to be the same size. Similar triangles need to have the same angles but are not the same size.
Answer:
B. Similar
Step-by-step explanation:
Matching mathematical terms and definitions
Piece of line with two endpoints = line segment
Two rays with common endpoint = angle
Piece of line with one endpoint = ray
All coplanar points equidistant from a given point = circle
----------
side note: you could use two lines or segments to construct an angle. You don't necessarily have to use two rays.
In the diagram below BD is parallel to AE, BE bisects angle ABD, angle E is 37 degrees, angle BFE = 117, what is angle C
SHOULD BE EASY!!! which one is it??? please i need help ASAP.
Answer:
Commutative property
Step-by-step explanation:
#4
Another easy way for points!!! FASTEST ANSWER=BRAINLIEST!!!
What is: 1x2x3x4x5x6x7x8x9x10?
the answer is 3628800
The solution to the equation "1x2x3x4x5x6x7x8x9x10" is 362,880.
How to find the multiplication?This is a factorial, which is the product of all the positive integers less than or equal to a given number. In this case, the factorial is 10!, which is the product of all the positive integers less than or equal to 10.
To calculate 10!, use the following formula:
n! = n × (n - 1) × (n - 2) × ... × (3) × (2) × (1)
where n is the number to be taking the factorial of.
In this case, n = 10, so:
10! = 10 × (9) × (8) × (7) × (6) × (5) × (4) × (3) × (2) × (1) = 362,880
Therefore, 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 = 362,880.
Find out more on multiplication here: https://brainly.com/question/10873737
#SPJ6
Can I get some help on this question?
What object is defined using a directrix and a focus
A. Perpendicular Bisector
B. Parabola
C. Circle
D. Angle Bisector
Answer: B
Step-by-step explanation:
A parabola is defined using both a directrix and a focus.
To justify this, let me take a quote from Varsity Tutors (all credit of this quote goes to them) : “A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix.”
Hope this helps! :)
Question: Imagine that a family of three (Alice, Bill, and Charlie) are
playing a card game at home two nights in a row. The chance that any one
of them will win is 1/3. a.) Using A for Alice, B for Bill, and C for Charlie, what
are the outcomes for two consecutive nights of playing card. (Ex. AA
means Alice won the first night and the 2nd night) *
You are looking for all possible pairs of car models and colors. A manufacturer has 12
models, each with 18 color options. What is the total possible pairs?
Answer:
216
Step-by-step explanation:
12 × 18 = 216 :)) !!!!
Angle YXZ is 57 degrees.
Angle VXW is 57 degrees.
Angle WXZ is 123 degrees.
Angle XVW is 56 degrees.
Angle XWZ is ? degrees.
Angle XZW is ? degrees.
Answer:
Angle XVW is 56 degrees.
Angle XWZ is 28.5 degrees.
Angle XZW is 28.5 degrees.
Step-by-step explanation:
bcuz yes :)
The box plots show the weights, in pounds, of the dogs in two different animal shelters.
Weights of Dogs in Shelter A
Weights of Dogs in Shelter B
Which is true of the data in the box plots? Select three choices.
The median weight for shelter A is greater than that for shelter B.
The median weight for shelter B is greater than that for shelter A.
The data for shelter A are a symmetric data set.
The data for shelter B are a symmetric data set.
The interquartile range of shelter A is greater than the interquartile range of shelter B.
Answer:
The median weight for shelter A is greater than that for shelter B.
The data for shelter B are a symmetric data set.
The interquartile range of shelter A is greater than the interquartile range of shelter B.
I’m stuck between two answers and wanted to know what you guys think is right?
Answer:
y = x + 3
Step-by-step explanation:
Slope-intercept form is y = mx + b
When we count rise over run, we get 1/1, or just 1. Also, the line is rising from left to right, so it is a positive slope.
y = x + b (you don't have to put 1x)
The line intersects the y-axis at 3
y = x + 3
I hope this helps :))
Answer:
y= -x+3
Step-by-step explanation:
looking at the graph, you can see that the equation is a negative, so the slope will be negative. On the Y-axis, the line goes through "3" making the y-intercept. The equation would be y=-3x+3, but you answer only give you y= -x+3
