AD¯¯¯¯¯ , BD¯¯¯¯¯ , and CD¯¯¯¯¯ are angle bisectors of the sides of △ABC . BE=12 m and BD=20 m
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Since AD bisects angle A, I think then side DG should be congruent with DG. So then
DG = 16 m
Related Questions
A leaf hanging motinles on a tree has what kimd of energy
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Which plane figure generates a cylinder when it rotates about the dashed line?
Thank you :)
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The rhombus (it can also be a square) will form a 2 cones attached at the bottom. (See 2nd figure attached)
The rectangle will form a cylinder. (See 3rd figure attached)
The triangle will form a cone.
Answer: The third figure.
Answer:
3rd one
Step-by-step explanation:
Rick works two jobs to pay for college. he tutors for $20 per hour and also works as a bag boy for $7 per hour. due to his class and study schedule, rick is only able to work up to 25 hours per week but must earn at least $200 per week. if t represents the number of hours rick tutors and b represents the number of hours he works as a bag boy, which system of inequalities represents this scenario? t + b less than or equal to 25 20t + 7b greater than or equal to 200 t + b greater than or equal to 25 20t + 7b = 200 t + b less than or equal to 25 20t + 7b less than or equal to 200 none of the systems shown represent this scenario.
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he needs at least $200 per week:
20t + 7b > 200 (greater than or equal to)
he can work up to 25 hours per week:
t + b < 25
so this is your system of inequalities. hope this helps!
Find the quotient.
(6x 2 + 23x + 20) ÷ (5 + 2x)
3x - 4
3x + 4
3x +19
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What is the height of the wall that is 30 feet long and that required 2310 bricks to build
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2310=210H
11=H
I hope this helps!
Answer:
11=h
Step-by-step explanation:
Hank's pickup can travel 64 miles on 4 gallons of gas. How many gallons will Hank's pickup need to travel 32 miles?
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Two fair dice are rolled. find the probability of a "double" given that the sum is 11.
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which may seem a bit odd considering its the last part of the problem
The "given" is important as it sets up the constraints of what we're dealing with. In this case, we know 100% (we can see or someone told us without lying) that the sum is 11. We don't know what the individual values are but we know they add to 11.
What are the ways to add to 11? Well they are...
5+6 = 11
6+5 = 11
so there are 2 ways to do it. As you can see, none of those ways involve a double. A double is where we have two of the same values (eg: snake eyes which is 1 and 1 giving 1+1 = 2 as the sum). It turns out that it's impossible to have doubles add to any odd number.
So if we know the sum is 11, and we're asking "what is the probability of rolling doubles", then the answer is 0.
The 0 indicates "impossible" or "certainty of it never happening".
There are 0 (zero) probability of a "double" given that the sum is 11.
What is mean by Probability?
The term probability refers to the likelihood of an event occurring.
Given that;
Two fair dice are rolled.
And, The probability of a "double" given that the sum is 11.
Now,
Since, The the probability of a "double" means;
''Two fair dice after rolled gives the same numbers.''
Since, The sum of two same number is always gives the even number.
So, We cannot get the sum 11.
Hence, There are 0 (zero) probability of a "double" given that the sum is 11.
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Hisham is saving to buy a video game system. every month he spends $30 of what he earns. after four months, he has saved $300. how much money does hisham earn every month?
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If your sample mean is 25, your population average is 5, and your standard error of the mean is 10, what is your observed z value?
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If parallelogram rstu has all sides the same length then it would be true that rs = st
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What is the length of AC
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Answer:
126
Step-by-step explanation:
Answer:
The correct answer is D. 126
Step-by-step explanation:
In order to solve this exercise, we need to know that two straight triangles that are sharing a vertex like in this picture are considered similar triangles. One property of the similar triangles is that exist a linear relationship between its sides. In this exercise, one triangle is ABC and the other CDE.
The relationship that we can write is between the length of its sides.
The relationship is a division between the length of the sides :
[tex]\frac{AC}{AB}=\frac{CE}{DE}[/tex] ⇒
[tex]\frac{140-x}{81}=\frac{x}{9}[/tex]
Solving the equation
[tex]x=\frac{(140-x)}{81}.(9)[/tex]
[tex]x=\frac{(140-x)}{9}[/tex]
[tex]9x=140-x[/tex]
[tex]10x=140[/tex]
[tex]x=14[/tex] ⇒
If the side AC is [tex]140-x[/tex] the length is
[tex]140-14=126[/tex]
The correct option is D. 126
Graph the function shown in the picture. I need this submitted quick and I’m so confused. Please help!
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I used a graphing calculator so I hope this helps...
Express in exponential form.
Log2(x)=3
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Log 2 × x=3
Log x=3-2
Log x=1
X=1
1/x = log2/3 (x)
Answer:
[tex]2^{3}=x[/tex]
Step-by-step explanation:
We have to express the log in exponential form
The given expression is [tex]log_{2}(x)=3[/tex]
As we know, if [tex]log_{b}a=c[/tex] then [tex]b^{c}=a[/tex]
So [tex]2^{3}=x[/tex] will be the esponential form of [tex]log_{2}(x)=3[/tex]
Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?
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Answer: The first graph is the right graph according to the given situation.
Step-by-step explanation:
Given: Becky created a graph to represent her distance away from home one afternoon.
She left home and ran to the park⇒ She started running from zero distance from the home .⇒the second and fourth graphs are wrong .
After that she met some friends and stayed at the park, then walked back home using the same route.⇒ The first one is correct because there we can see the graph is parallel to time axis for a interval but in the third one it shows that she she hasn't took rest .
expand (2x + 3)^5 can you please show your work because i am still very confused on how to do this.
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You can use the FOIL method which means First, Outer, Inner, Last.
Essentially, you are multiplying (2x+3) by itself, 5 times.
It is a very cumbersome solution, but at the end I have this answer:
32x^5+250x^4+720x^3+1080x^2+810x+243
If y = 5/17 when x = 10, find y when x=5
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To find y when x = 5, you can substitute x = 5 into the given equation. Let's substitute x = 5 into the equation y = -173.5 + 4.83x - 2(16.4) to find y = -182.15.
Explanation:To find y when x = 5, we can substitute x = 5 into the given equation. Given that y = 5/17 when x = 10, we can find the value of y when x = 5. Let's substitute x = 5 into the equation y = -173.5 + 4.83x - 2(16.4):
y = -173.5 + 4.83(5) - 2(16.4)
y = -173.5 + 24.15 - 32.8
y = -182.15
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y and x have a proportional relationship, and y = 7 when x = 2. What is the value of x when y = 21?
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because when y is 7 and x is 2 they multiplied 7×3 and they got y=21 so you have to multiply 2 by 3 and that is 6 hopefully this helps.
A set of equations is given below:
Equation R: y = 5x + 10
Equation S: y = 5x + 5
Which of the following options is true about the solution to the given set of equations?
A: One solution
B: Two solutions
C: Infinite solutions
D: No solution
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Answer:
There is no solution.
Step-by-step explanation:
Jessica rented 1 movie game and 3 Movies for $11.50 the cost of the video game is $4.75 to rent also the movie
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If y varies directly as the square root of x and y=12 when x = 16 , find x when y = 15
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The direction of fastest increase is along the line \(y = x + 1\).
Given that [tex]\(y\)[/tex] varies directly as the square root of [tex]\(x\)[/tex], we can express this relationship as:
[tex]\[ y = k \sqrt{x} \][/tex]
where [tex]\(k\)[/tex] is the constant of variation.
We are given that when [tex]\(x = 16\), \(y = 12\)[/tex]. Let's find the constant of variation:
[tex]\[ 12 = k \sqrt{16} \][/tex]
[tex]\[ 12 = 4k \][/tex]
[tex]\[ k = 3 \][/tex]
Now we can write the equation of variation:
[tex]\[ y = 3 \sqrt{x} \][/tex]
To find [tex]\(x\)[/tex] when [tex]\(y = 15\)[/tex], we can solve for [tex]\(x\):[/tex]
[tex]\[ 15 = 3 \sqrt{x} \][/tex]
[tex]\[ \sqrt{x} = \frac{15}{3} \][/tex]
[tex]\[ \sqrt{x} = 5 \][/tex]
[tex]\[ x = 5^2 \][/tex]
[tex]\[ x = 25 \][/tex]
Therefore, when [tex]\(y = 15\)[/tex], the corresponding value of [tex]\(x\)[/tex] is 25.
By graphing the system of constraints, find the values of x and y that maximize the objective function.
2<_x<_6
1<_y<_5
x+y<_8
Maximum for p=3x+2y
Answers:
A. (2,1)
B. (6,2)
C. (2,5)
D. (3,5)
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p(6,1) = 3(6) + 2(1) = 20
p(2,1) = 3(2) + 2(1) = 8
p(2,5) = 3(2) + 2(5) = 16
p(3,5) = 3(3) + 2(5) = 19
p(6,2) = 3(6) + 2(2) = 22
So the maximum value of p is 22 as x = 6 and y = 2.
Answer: (6,2)
Step-by-step explanation:
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A plane can fly 11 miles per minute. The plane will fly 6 trips, and each trip is 500 miles. How many hours will the plane fly? Show your work to receive full credit. (10 points)
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(11 miles/1min) * (60min/hr) = 660 mi/hr
Now, we need to find the total distance flown:
TD= 6 trips*(500 miles/1 trip) = 3,000 mi
Lastly, we find total time using our converted speed and total distance.
speed = (total distance (in miles))/(total time (in hours))
660mi/hr= 3000mi / t
660t=3000
t=3000/660
t= 4.54 hrs
Answer: The plane will fly a total of about 4 and a half hours.
I need work shown please
Q:
x^2+3x-28
________
x^2-7x+12
A:
x+7
___
x-3
I just need work shown
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Please help me thank you!
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2 is 15
3 is y = 2
4 is 40
5 is 47
2)
3x = 5x - 10
2x = 10
x = 5
GH = 5x - 10 = 5(5) - 10 = 15
answer: 15
3)
10y = 8y + 4
2y = 4
y = 2
answer: 2
4)
m<DBE = 2(8y+4)
m<DBE = 2(8*2 + 4)
m<DBE = 2(20)
m<DBE = 40
Answer
m<DBE = 40
5)
m<FBA = 7x+6y
m<FBA = 7(5) + 6(2)
m<FBA = 35 + 12
m<FBA =47
answer
m<FBA = 47
Jim has a membership to a comic book club. He pays $9.00 per month for membership and $2.50 for each comic book he purchases. What are the parameters in this scenario?
A.) The parameters are not defined.
B.) The slope is 9 and the y-intercept is 2.5
C.) The slope is 2.5 and the y-intercept is 9.
D.) x and f(x)
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His cost function could be described as y= 2.5x + 9, where x is the number of comic books he purchases. If he buys no comic books, he still has to pay the $9 membership fee.
find the x-intercept and the y-intercept of the graph of the equation 5x - y =35
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I hope this helps love! :)
7x to the second power - x=6 find the solution set
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7x^2 - x - 6 = 0
(7x + 6 )(x - 1) = 0
7x + 6 = 0; x = -6/7
x - 1 = 0; x = 1
answer
x = -6/7; x = 1
The sum of two numbers is $30$. the difference of twice the larger number and three times the smaller number is $5$. what is the positive difference between the two numbers?
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The positive difference between the two numbers is 8, which is found by setting up a system of linear equations based on the sum of the numbers and the difference of twice the larger number and three times the smaller number.
To solve the system of equations given by the problem, we can set up two equations based on the information provided. Let x be the larger number and y be the smaller number. We are given:
The sum of two numbers is $30: x + y = 30.The difference of twice the larger number and three times the smaller number is $5: 2x - 3y = 5.Solving this system of equations will allow us to find the values for x and y. From the first equation, we can express y in terms of x as y = 30 - x.
Substituting this into the second equation gives us 2x - 3(30 - x) = 5, which simplifies to 2x - 90 + 3x = 5 and further to 5x = 95.
Dividing both sides by 5, we find x = 19. Now we can determine y by plugging x back into the first equation, resulting in y = 30 - 19, so y = 11.
The positive difference between the larger and smaller number is 19 - 11 = 8.
Which of the following is the solution to 3/5 = 20/(x+3)?
3/91
-91/3
-3/91
91/3
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Answer:
91/3
Step-by-step explanation:
Multiply by 5(x+3) and you get ...
3(x +3) = 100
x +3 = 100/3 . . . . . . . . . . divide by 3
x = 100/3 -3 = 91/3 . . . . subtract 3
Find the mean of this data: 37, 36, 40, 36, 40, 36, 38. If necessary, round to the nearest tenth.