Answers
Answer:
x=3Solution,
Theorem:
The angle bisector theorem states that if a ray bisects an angle of a triangle,then it divides the opposite side into two segments that are proportional to other two sides.
By the theorem,
[tex] \frac{24}{9x - 9} = \frac{32}{6x + 6} \\ or \: 24(6x + 6) = 32(9x - 9) \\ or \: 144x + 144 = 288x - 288 \\ or \: 144x - 288x = - 288 - 144 \\ or \: - 144x = - 432 \\ or \: x = \frac{ - 432}{ - 144} \\ x = 3[/tex]
hope this helps...
Good luck on your assignment..
Answer:
x = 3 :)
Step-by-step explanation:
(24 / (9x - 9)) = (32 / (6x+6))
24 (6x + 6) = 32 (9x - 9)
144x +144 = 288x - 144
-144x = -432
x = (-432 / -144)
x = 3
Related Questions
A man withdrew some money from the bank. He gave 1/2 of it to his sons and 1/3 to his daughter. If he had $500.00 left, how much did he take from the bank?
Answers
Answer:
916.67
Step-by-step explanation:
1/2 of 500.00
1/2×500.00
=250.00
1/3 of 500.00
1/3×500.00
=166.67
then add them
250.00+166.67
=416.67
then take 500.00 add with 467.67
500.00+416.67
=916.67
Help me please and thanks
Answers
Answer:
C =43.96 ft
Step-by-step explanation:
The circumference of a circle is given by
C = pi * d where d is the diameter
C = 3.14 * 14
C =43.96 ft
Answer:
i cant see the bottom
Step-by-step explanation:
If a translation maps point (3, 2) to (5.3); or T:(3, 2) - (5, 3), indicate the image for (2, 4).
Answers
Answer:
(4,5)
Step-by-step explanation:
The x coordinate moves from 3 to 5 which is +2
The y coordinate moves from 2 to 3 which is +1
We move the point (2,4)
(2+2, 4+1) becomes (4,5)
3
Select the correct answer.
In right triangle ABC, 2C is a right angle and sin A = sin B. What is m ZA?
A.
30°
B.
45°
C.
60°
D.
75°
Answers
Answer:
b
Step-by-step explanation:
what is the mean? i need the answer immediately.
Answers
Answer:
Mean = 203.167
Step-by-step explanation:
Mean = [tex]\frac{sum of observations}{total no. of observations}[/tex]
Mean = [tex]\frac{153+230+354+38+180+264}{6}[/tex]
Mean = [tex]\frac{1219}{6}[/tex]
Mean = 203.167
PLSSSSSSSSSSSSSSS HELP>>> Solve the following inequality. Write your answer as one inequality with no spaces. -12 < 3x-1 < 3
Answers
Answer:
-11/3<x<4/3
Step-by-step explanation:
I attached the explanation:
Find the equation of the line through point (-5,5) and perpendicular to y = 5/9x - 4
Answers
Answer:
[tex]9x+5y=-20[/tex]
Step-by-step explanation:
[tex]y = \frac{5}{9} x - 4[/tex]
compare with that y=mx+c
where m=slope .
So after comparing we get m=[tex]\frac{5}{9}[/tex]
As the lines are perpendicular
[tex]m1*m2=\ -1[/tex]
[tex]m2 \ =\ \frac{-1}{m1}[/tex]
therefore m2=[tex]\frac{-9}{5}[/tex]
Now from the equation
[tex]y - b = m(x - a )[/tex] this equation passing to the point (-5,5) with m=[tex]\frac{-9}{5}[/tex]
[tex]y-5=\frac{-9}{5} (x+5)\\5y-25=-9x\ -45\\9x+5y=-20[/tex]
Therefore equation is
[tex]9x+5y=-20[/tex]
David earned a fixed salary each month. In January, he spent $400 and
saved the rest. In February, he spent 10% more and his savings dropped by
20%. What was David's savings in January?
Answers
Answer:
if he spent %10 more 400.110/100 he spent 440
he spent 40 more and his savings dropped %20 this means 40 is %20 of his total saving 40.5=200
Answer:
$200.
Step-by-step explanation:
Let his fixed monthly salary be x dollars.
Then he saved x-400 dollars in January.
He spent 10% more in February which is $440 so his savings were x-440 dollars, which is 0.20 less than in January. So we have the equation:
(x - 400) - (x - 440) = 0.20(x - 400)
0.80(x - 400) = x - 440
0.8x - 320 - x = -440
-0.20x = - 120
x = $600
So his saving in January were 600 - 400 = $200.
Write the equation of a line that is parallel to z = 8 and that passes through the point (-3,-2).
Answers
y=8x+22
z=8
(-3,-2)
y=mx+b
-2=8(-3)+b
-2=-24+b
22=b
y=8x+22
Solve for x.
2
5.
3
8
001 – Joo
4
Answers
The graph of f(x) =x^2 is shown.
g(x) = (x + 2)^2 - 1
Graph the parabola by first plotting the vertex and then plotting a second point on the parabola.
Help plzz
Answers
Answer:
Brainly User
The equation given is f(x) = x^2 - 12x + 27
Based on its form, it is a parabola. First, factor the quadratic equation:
f(x) = (x-9) (x-3)
Plot in the x-y plane, assign values of x and solve for the values of y.
x y
1 16
2 7
3 0
0 27
-1 40
-2 55
-3 72
A survey showed that 79% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 16 adults are randomly selected,
find the probability that no more than 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight
correction?
The probability that no more than 1 of the 16 adults require eyesight correction is
(Round to three decimal places as needed.)
Answers
Answer:
P (X≤1) = 0.000
Step-by-step explanation:
Data given:
p = 79% = 0.79
q = 1 - 0.79 = 0.21
n = 16
P (no more than 1 in 16 adults) = P (X≤1)
P (X≤1) = P (X=0) + P (X=1)
We can find the probability by using binomial functions:
[tex]P=\frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}[/tex]
P(X=0):P(X=0) = (16! / 0!(16-0)!) · 0.79⁰ · 0.21¹⁶
Use calculator to solve:
P(X=0) = 0.000000000798
P(X=1):P(X=1) = (16! / 1!(16-1)!) · 0.79¹ · 0.21¹⁵
Use calculator to solve:
P(X=1) = 0.000000034506
P(X≤1)P (X≤1) = P (X=0) + P (X=1)
P (X≤1) = 0.000000000798 + 0.000000034506
P (X≤1) = 0.00000003530
P (X≤1) = 0.000
As 1 is a very low number, its probability is very small
Determine which equation has the same solutions as the given equation. x2 − 10x − 11 = 0 A. (x − 5)2 = 36 B. (x − 10)2 = 21 C. (x − 10)2 = 36 D. (x − 5)2 = 21
Answers
Answer:
A. (x - 5)² = 36
Step-by-step explanation:
Step 1: Isolate x
x² - 10x = 11
Step 2: Complete the Square
x² - 10x + 25 = 11 + 25
(x - 5)² = 36
And we have our answer!
Suppose a contest allows you to spin a wheel for a prize..
Answers
Answer:
Step-by-step explanation:
I pretty sure its A
hope it helps
-Delilah
The measure of angle 3 is 42°
What is the measure of angle 1 in degrees
Answers
Answer:
48 degrees
Step-by-step explanation:
Angle 2 is a right angle.
Right angles are 90 degrees.
A line is 180 degrees.
Angle 1, 5, and 2 form a line.
180-90=90
That means that Angles 1 and 5 add up to 90 degrees.
We know that Angle 3 is 42 degrees.
Angle 3 and 5 are Vertical angles.
Vertical angles are always congruent.
This means that Angle 5 is also 42 degrees.
As we discussed earlier, Angles 1 and 5 are complementary. (Add up to 90 degrees)
42+x=90
Subtract 42 from both sides.
x=48
m<1=48
Answer:
It is 48 degrees because I took the test
Step-by-step explanation:
What is the volume of the sphere below?
A. 817 units 3
B. 36 units 3
C. 27 units3
D. 12 units 3
Answers
Answer:
B)
Step-by-step explanation:
r= 3 units
[tex]Volume=\frac{4}{3}\pi r^{3}\\\\=\frac{4}{3}*\pi *3*3*3\\\\=4*\pi *3*3\\\\[/tex]
= 36π unit³
Answer:
B 36π units³Step-by-step explanation:
V = 4πr³/3
r = 3
V = 4·π·3·3²/3
= 4π·9
= 36π units³
(x^4)^2 perform the indicated operation
Answers
Answer:
[tex]x^8[/tex]
Step-by-step explanation:
Since you are doing [tex]x^4[/tex] squared, you have to multiply the exponents.
4 * 2 = 8
[tex]x^8[/tex]
Answer:
[tex]x^8[/tex]
Step-by-step explanation:
[tex](x^4)^2[/tex]
Apply the law of exponents, where:
[tex](x^a)^b=x^{ab}[/tex]
[tex](x^4)^2=x^{4 \times 2}=x^8[/tex]
Write 260 the expression as an exponent with the base of: 8
Answers
Answer: do you have the answer chooses?
Step-by-step explanation:
help me with the right answer
Answers
Answer:
x = 3
y = 1
Step-by-step explanation:
9x - y = 26 ---------------(I)
9x + y = 28 ---------------(II)
9x - y = 26
9x = 26 + y
Substitute 9x = 26 + y in equation (II)
26 + y + y = 28 {add like terms}
26 + 2y = 28 {subtract 26 from both sides}
2y = 28 - 26
2y = 2 {divide both sides by 2}
y = 2/2
y = 1
Substitute y =1 in equation (I)
9x - 1 = 26
9x = 26 + 1
9x = 27
x = 27/9
x = 3
x = 3
y = 1
Answer:
Brainliest!!!
Step-by-step explanation:
See picture
For one month, Terry recorded the time at which her school bus arrived. She organized her results in a frequency table. Find the experimental probability that the bus will arrive between 8:20 and 8:24.
Answers
Answer:
Experimental Probability is found:
P = 11/24
Step-by-step explanation:
Experimental Probability can be defined as the ration of the number of times (frequency) a desirable event has occurred, to the Total number of time (total frequency) the activity has been performed.
Probability = P = Frequency of an event / Total Frequency
To find the total frequency, we add all three of the given frequencies:
Total Frequency = 10 + 11 + 3
Total Frequency = 24
Frequency of the event (times bus arrived between 8:20 to 8:24) = 11
So, experimental probabilty is found as:
P = 11/24
Find the equation of the line below.
Answers
Answer:
Option A. is the right choice.
Step-by-step explanation:
y-intercept is 0, and slope is negative.
[tex]\mathrm{Slope\:}\left(0,\:0\right),\:\left(3,\:-1\right):\\\\\quad m=\frac{-1-0}{3-0}=-\frac{1}{3}[/tex]
Best Regards!
Answer:
A. [tex] y= - \frac{1}{3} x[/tex]
Step-by-step explanation:
Line is passing through the point [tex] (3,\:-1)=(x_1, \:y_1) [/tex] and origin [tex] (0,\: 0)=(x_2, \: y_2) [/tex]
Equation of line in two point form is given as :
[tex] \frac {y-y_1}{y_1 - y_2} = \frac{x-x_1}{x_1 - x_2} \\\\
\therefore \frac{y-(-1)}{-1-0}= \frac{x-3}{3-0}\\\\
\therefore \frac{y+1}{-1}= \frac{x-3}{3} \\\\
\therefore 3(y+1) = - 1(x-3)\\\\
\therefore 3y + 3 = - x +3\\\\
\therefore 3y = - x +3-3\\\\
\therefore 3y = - x\\\\
\huge \orange {\boxed {\therefore y= - \frac{1}{3} x}} [/tex]
Miguel wants to bike a total of 100 miles over the course of one week in the summer. He logs how much he bikes each day in the table below. Miguel’s Biking Log Day Miles Completed Monday 16.3 Tuesday 14 and one-half Wednesday 18.75 Thursday 12 and one-fourth Friday 22 and three-fifths How many total miles does Miguel need to ride on Saturday and Sunday to meet his goal? 15 and three-fifths miles 45 and one-fifth miles 62 and one-half miles 84 and two-fifths miles IM TIMED ASAP PLEASE HURRY
Answers
Answer:
15 and three-fifths miles
Step-by-step explanation:
First you add all the miles he rides.
Mon+Tue+Wed+Thu+Fri=84.4miles
Then you do 100m-84.4m=15.6
Answer:
I believe 15 and 3/5 miles is your answer.
HELP PLZ
Answers
Answer:
Step-by-step explanation:
Take a look at the first possible answer choice: (-3x) + 3 + (-2x) + 1 simplifies to -3x - 2x + 3 + 1, or -5x + 4.
Its A. ☜ its right trust me thats right
The average (mean) of 90 numbers is 60, and the average of 60 numbers is 90. What is the average of all the numbers? I will mark brainliest for the best explanation
Answers
Answer: 72
Step-by-step explanation:
Total Score of 90 nos
90 x 60 = 5400
Total score of 60 nos
60 x 90 = 5400
Average of (90 + 60) = 10800 / 150 = 72
Answer:
72
Step-by-step explanation:
You need to find the average of all the number. However, you are given two averages that have unequal numbers. To solve, you need to multiply each average by the amount of number it has in it.
90 × 60 = 5400
60 × 90 = 5400
You need to find the total amount of number as well as the total value of the numbers.
90 + 60 = 150
5400 + 5400 = 10800
Divide the total value by the total amount of number to find the average.
10800/150 = 72
The total average is 72.
A store down the street is selling a bicycle for 45% off the retail price. The bicycle regularly sells for $115.00. What is the sale price of the game? A. $51.75 B. $61.75 C. $61.25 D. $63.25
Answers
Answer:
D
Step-by-step explanation:
100%-45%=55%
$115*55%=$63.25
Answer:
the answer is D
Step-by-step explanation:
have a nice day!!
A scientist invents a car that can travel for many hours without stopping for fuel. The car travels around a track at 54 miles an hour for 24 hours. At the end of the 24 hours, how far has the car traveled?
Answers
Answer: 1,296 m iles
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Distance = Speed rate x time
speed rate = 54 miles per hourtime = 24 hoursReplacing with the values given and solving for D (distance)
D = 54 mph x 24 h = 1,296 m
The car traveled 1,296 miles
Feel free to ask for more if needed or if you did not understand something.
What is the measure of
A. 60°
B. 30°
ОО
C. 90°
D. Cannot be determined
Answers
Answer: 60ᴼ
Step-by-step explanation:
The sum of the angles equals 180ᴼ and there are 3 equivalent angles in an equilateral triangle. In an equilateral triangle, all 3 sides have the same length as well.
180 / 3 = 60
60ᴼ per angle
I really need plz help ASAP the right answer will be marked of brainlest
Answers
Answer:
40
Step-by-step explanation:
5*4*2
Answer:
40
Step-by-step explanation:
5*2*4
5 units from each point * 4 points * 2
HELP! 10 POINTS AND BRAINLIEST
Answers
Answer:
Yes it's D
Step-by-step explanation:
Multiply coordinates by 2. :P
I NEED HELP PLEASE
Select the correct answer.
Which set of coordinates satisfies the equations x-2y= -1 and 2x + 3y= 12?
Answers
Answer:
(3,2)
Step-by-step explanation:
The solution that satisfies both equations is where the two lines intersects.
The two graphs intersect at x=3 and y =2