Answers
Answer:
x = 7
Step-by-step explanation:
The parameters of the triangle having bisected angle are;
The length of the opposite and adjacent side of one of the halves of the bisected angle = 6 and 14 respectively
The length of the opposite and adjacent side of the other half of the bisected angle = (3·x - 12) and 21 respectively
By the angle bisector theorem, we have;
[tex]\dfrac{14}{6} = \dfrac{21}{3\cdot x - 12}[/tex]
Simplifying, we get;
[tex]\dfrac{14}{6} = \dfrac{2 \times 7}{2 \times 3} = \dfrac{7}{3}[/tex]
[tex]\dfrac{21}{3\cdot x - 12} = \dfrac{3 \times 7}{3 \times (x - 4)} = \dfrac{7}{x - 4}[/tex]
[tex]\dfrac{7}{3} = \dfrac{7}{ x - 4}[/tex]
7 × (x - 4) = 3 × 7
∴ x - 4 = 3
x = 3 + 4 = 7
x = 7.
Related Questions
Solve for X
2x-10/4 = 3x
X=-10
X=-1
X=2
X=11
Answers
Answer:
-5/2
Step-by-step explanation:
2x-10/4=3x
10/4=2x-3x
5/2=-x
x=-5/2
Write the slope-intercept form of the equation of the line through the given points.
through: (0,0) and (3,3)
Answers
Answer:
Slope: 1
Y-intercepts : (0,0)
Step-by-step explanation:
Y= x
Your research shows that you typically receive a 24% return response from the guest satisfaction surveys you send out. How many guest satisfactions surveys will you need to send out to make certain you receive at least 300 surveys back?
Answers
Answer:
1250
Step-by-step explanation:
The number of guest satisfaction surveys will you need to send out to make certain you receive at least 300 surveys back is 1,250.
Calculation of the number of guest satisfaction:Since the return is received i.e. 24%
And, there are the minimum of 300 surveys
So, based on this, the no of guest satisfaction should be
[tex]= 300 \div 0.24[/tex]
= 1,750
hence, The number of guest satisfaction surveys will you need to send out to make certain you receive at least 300 surveys back is 1,250.
Learn more about survey here: https://brainly.com/question/22497309
[tex]x + 7 < - 2[/tex]
Choose an operation to isolate the variable
Blank. Blank. on both sides
-------- --------
.add. .-7
.subtract. .-2
.multiply by. .2
.divide by. .7
Answers
A student has 6 nickel 14 dimes and 8 quarter.what is the ratios of the total number of coins to the number of nickels ? In simplest form
Answers
Given:
A student has 6 nickel 14 dimes and 8 quarter.
To find:
The ratio of the total number of coins to the number of nickels.
Solution:
We have,
Number of nickels = 6
Number of dimes = 14
Number of quarter = 8
Total number of coins = 6+14+8
= 28
Now, the ratio of the total number of coins to the number of nickels is
[tex]Ratio=\dfrac{\text{Total number of coins}}{\text{Number of nickels}}[/tex]
[tex]Ratio=\dfrac{28}{6}[/tex]
[tex]Ratio=\dfrac{14}{3}[/tex]
[tex]Ratio=14:3[/tex]
Therefore, the ratio of the total number of coins to the number of nickels is 14:3.
Ivan and tanya share £150 in the ratio 4 : 1 work out how much more ivan gets compared to tanya.
Answers
Answer:
Ivan receives £120 more than Tanya.
Step-by-step explanation:
Total Money = £ 150
Ratio = 4:1
This means that Ivan gets 4x of £150 and Tanya gets 1x of £150.
Ivan's money = 4x
Tanya's money = 1x
Now, we know that total money is equal to the sum of Ivan's & Tanya's money.
Total money = Ivan's money + Tanya's money
£ 150 = 4x + 1x
£ 150 = 5x
150/5 = x
30 = x.
We have found the value of x, now we can substitute 30 in the place of x and find the money Ivan and Tanya get.
Ivan = 4x = 4×30 = £120.
Tanya = 1x = 1×3 = £30.
So, Ivan receives more money. But how much more? We can solve that by subtracting Tanya's money from the total amount.
Total amount - Tanya's money = 150 - 30 = £120.
So, Ivan receives £120 more than Tanya.
BRAINLIEST PLS HELP!!!
Answers
Answer:
(D) 360 m
Step-by-step explanation:
Pls help
(Show your work pls!)
1. Solve for w
21+2w=p
2. Solve for a
2a+b=c
3. Solve for a
b-2a=c
Answers
1.
Step 1: Flip the equation.
p=2w+21
Answer:
p=2w+21
2.
Step 1: Add -b to both sides.
Step 2: Divide both sides by 2.
Answer:
a= −1 /2b+1/2 c
3.
Step 1: Add 2a to both sides.
−2a+b+2a=c+2a
b=2a+c
Answer:
b=2a+c
could you help me with the 2 questions plz
Answers
Answer:
2. 64
3. 2
Step-by-step explanation:
What is the slope of the line?
Answers
Answer:
-3/4
Step-by-step explanation:
1. Gloria says the two expressions - (12x + 24) - 9x and -6(x + 1) are equivalent. Is she correc Explain how you know.
Answers
Answer:
No they aren't equivalent
Step-by-step explanation:
Let's take each expression
the first one is
- (12x+24) - 9x = -12x -24 -9x = -21x -24 = -3 (7x +8)
the second expression
-6 (x+1) = -6x-6
So they aren't equivalent
What is the answer!!!!!?
Answers
Answer:
<BYX = 74 degrees
Step-by-step explanation:
The sum of angles of the adjacent sides of the trapezoid is 180 degrees
Given
<A = 106 degrees
<A + <BYX = 180
106 + <BYX = 180
<BYX = 180-106
<BYX = 74 degrees
(x-h)^2+(y-k)^2=r^2
Derive standard form of an equation of a circle with center C(5,2) and radius r=4, using the Pythagorean theorem.
Answers
Answer:
(x-2)^2 + (y - 5)^2 = 16
Step-by-step explanation:
Given the standard form of an equation of a circle
(x-h)^2+(y-k)^2=r^2
If (h, k) = (5,2) and r = 4
Substitute
(x-2)^2 + (y - 5)^2 = 4^2
(x-2)^2 + (y - 5)^2 = 16
Hence the required equation is (x-2)^2 + (y - 5)^2 = 16
what is the constant term this equation
Answers
Answer:
there is no constant term. it contains a variable x. in this 1 is coefficient of x.
P and Q are points on the line 4x + 2y = 8
a) Complete the coordinates of P and Q.
P(o,) QC ,0)
8
7 케
6
b) Plot points P and Q on the graph.
Use the tool to plot the coordinates.
5 4
92
c) Draw the line 4x + 2y = 8 for values
of x from -2 to 3.
2
1
-3 -2 -1o
Answers
Answer:
Step-by-step explanation:
p=4
Q=2
plot an x onto the 4 on th y line and a 2 on the x line
then draw a horizontal line with the ruler provided through 4 and 2
hope it helps :)
The solution to the equations are
a) The coordinates of point P is P ( 0 , 4 ) and Q is Q ( 2 , 0 )
b) The graph is plotted with points P and Q
c) The equation of line is 4x + 2y = 8
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
4x + 2y = 8 be equation (1)
Now , the coordinates of the point P = P ( 0 , y )
The coordinates of the point Q = Q ( x , 0 )
Substituting the values in the equation , we get
when x = 0
4 ( 0 ) + 2y = 8
2y = 8
y = 4
So , the coordinates of the point P = P ( 0 , 4 )
when y = 0
4x + 2 ( 0 ) = 8
4x = 8
x = 2
So , the coordinates of the point Q = Q ( 2 , 0 )
Now , the equation of line is 4x + 2y = 8
when x = { -2 , -1 , 0 , 1 , 2 , 3 }
The values of y are y = { 8 , 6 , 4 , 2 , 0 }
So, the line is plotted in the graph
Hence , the equation of line is 4x + 2y = 8
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ5
Directions: Solve the problem
There are 46 learners in 7-Sampaguita class consisting of 17 boys and 29 girls
Express the ratio of the following
With
Solution
Answers
Answer:
29:17
17:46
29:46
17:29
Step-by-step explanation:
In this problem, we are given three quantities and all we have to do is to write ratios relating two of them. Since all the numbers are relatively prime, we can no longer simplify the ratios.
Problem 1:
29 girls is to 17 boys
29:17
Problem 2:
17 boys is to 46 learners
17:46
Problem 3:
29 girls is to 46 learners
29:46
Problem 4:
17 boys is to 29 girls
17:29
In these problems, it's usually as simple as putting two or three numbers together and reducing them into simplest form.
(credits to ethananilovnorcio for the answer)
what is the least and greatest answer u can get by adding parentheses to the equation? :
1. 7 - 2 + 3^2
2. 46 + 2.8 • 7 - 2
3. 25 • (-3.12) + 21.3 / 3
4. 5.67 + 35.4 - 178 - 181
Answers
Answer:2
Step-by-step explanation:
it has biggest numbers
PLEASEEE HURRY!!!!! will mark branliest
Answers
Answer:
Step-by-step explanation:
Option D - x + 3 is the correct answer
3x + 2y = 12
-x + 5y = 13
Solve by elimination
Y and x
Answers
Answer:
x = 2 y = 3
Step-by-step explanation:
Find the product of the binomial:
(x-1)(x+4)(x-3)
Answers
Answer:
x³-13x+12
Step-by-step explanation:
Estimate the equation of the line of best fit for the following graphs.
Answers
Step-by-step explanation:
the one on the left (b)
y= mx+b
at x= 0 y = -2
then b= -2
at x= -1 y= 1
1= -m -2
m= -3
y= -3x -2
......
the one on the right side (d)
at x= 2 y = 1
at x= 4 y = 2
1= 2m+b
2= 4m +b
subtract
1= 2m
m= 1/2
y= 1/2 x
ху
2 8
3 12
4 16
5 20
Which equation represents the relationship described in the table?
es )))
A)
y = 2x
B)
y = 4x
0)
y = 3x
D)
y = -x
Answers
Angel has xx dimes and yy nickels. He has at most 13 coins worth no less than $0.95 combined. Solve this system of inequalities graphically and determine one possible solution.
Answers
Answer:
a possible solution is (10,1)
Step-by-step explanation:
Here, we want to solve the given inequality and determine one possible solution
From the question, we have it that;
x + y ≤ 13
Mathematically, we have it that 1 dime is worth $0.1
A nickel is worth $0.05
0.1x + 0.05y ≥ 0.95
please check the attachment for the graph of both equations
The point of intersection represents the solution.
we have a point here as (10,1)
Priya has a recipe for banana bread. She uses
4 1/2
cups of flour to make 3 loaves of banana bread.
Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour.
Which of these equations represents the relationship between b and f?
b = (2/3)
Ob = (3/2)f
O b = (2/9)f
O b = (9/2)f
Answers
Answer:
(3/2)f
it doesn't really show me a good copy of the question but I hope you found this helpful
Hurryyyy plzzz answer
The frosting recipe called for 7/8 of a 16 ounce bag
of sugar. How many ounces of sugar does the recipe
call for?
Answers
Answer:
the answer is 14 ounces of sugar
4x+3 x f(x)=15 solve for "f(x)"
Answers
Answer:
N-numeral number 12xy=0
Step-by-step explanation:
sana po makatulong po sa inyo
Abi has a bag containing black counters and white counters. The ratio of
black to white counters is 1:2. Abi takes one of these counters at random.
What is the probability that it is black?*
Answers
Answer:
1
Step-by-step explanation:
the probability is 1 because the ration of black to white is 1 to 2 so i guess she has 1 chance that it is black
Need help quick!! Cant figure this out
Answers
Answer:
The average speed of the car, in miles per hour, from 17:30 to 19:42, is 119.167 meters per second.
Step-by-step explanation:
Physically speaking, average speed ([tex]\bar v[/tex]), measured in miles per hour, is the distance travelled ([tex]\Delta s[/tex]), measured in miles, divided by time ([tex]\Delta t[/tex]), measured in hours. That is:
[tex]\bar v = \frac{\Delta s}{\Delta t}[/tex] (1)
The time needed by the vehicle is:
[tex]\Delta t = 72\,min\times \frac{1\,h}{60\,min}[/tex]
[tex]\Delta t = 1.2\,h[/tex]
If we know that [tex]\Delta s = 143\,mi[/tex] and [tex]\Delta t = 1.2\,h[/tex], then the average velocity of the car is:
[tex]\bar v = \frac{143\,mi}{1.2\,h}[/tex]
[tex]\bar v = 119.167\,\frac{m}{s}[/tex]
The average speed of the car, in miles per hour, from 17:30 to 19:42, is 119.167 meters per second.
please help me please I really need the answer worth 20 points
Answers
Answer:
3:1, 24 gallons blue 8 gallons yellow
Step-by-step explanation:
Jenny will use 24 gallons of blue paint and 8 gallons of yellow paint
Their ratio is 24:8 = 3:1
(2,-2) (5, 9) (5, -7) (1.4)