Triangle ABC is shown. What value of x will prove that Triangle ABC is a right triangle?
Answers
In the given triangle ABC in the figure, the value obtained for x will be equal to 6.
What is a triangle?The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.
As per the given information in the question,
Use the equation of Pythagoras' theorem,
h² = p² + b²
(2x - 2)² = x² + (x - 2)²
4x² - 2(2x)(2) + 4 = x² + x² + 4 + 4x
4x² - 8x + 4 = 2x² + 4x + 4
4x² - 2x² - 8x - 4x + 4 - 4 = 0
2x² - 12x = 0
2x² - 12x = 0
2x(x - 6) = 0
So,
2x = 0
⇒ x = 0, it is not possible.
Or,
x - 6 = 0
x = 6
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The given question is incomplete, the complete question might be in the attachment.
Related Questions
You invested a total of $8000 in 2 funds earning 7% and 9% simple interest. During 1 year,
the 2 funds earned a total of $600 in interest. How much did you invest in each fund?
Answers
Answer 200 for 9 and 125 for 7
Step-by-step explanation:
Answer:$17,000 invested into the 8% fund
$8,000 invested into the 8.5% fund
Step-by-step explanation:
Plz help I been stuck on this homework all night
Answers
Answer:
y = -1/5x - 10
Step-by-step explanation:
Pick any two points on the line.
(0,-10) and (50,-20)
find the slope by using m = y2-y1/x2 - x1(rise over run)
m = -20-(-10) / 50 - 0
m = -10/50 = -1/5 -- this is your slope
slope intercept form is y = mx + b, but we need to find your b, which is your y intercept. you find this by asking yourself, what is the y coordinate when x = 0? It is -10.
so now you have all the points you need.
y = mx + b
y = -1/5x - 10
The speed of sound is about 3.4 x 10^2 meters per second. Mark is performing a science experiment and he needs to know how far sound travels in
3 x 10^10 seconds. If mark uses a calculator to solve his problem, how will the calculator show his answer?
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Answer:
no it will not show the awning and powerful than you HA the same time as an event on Friday and powerful than you HA
Name one other disaster involving NASA astronauts?
Answers
Answer:
apollo 1
Step-by-step explanation:
ASAP plz!!!
Help help help help help and explain plz
Answers
Answer:
AAS
Explanation:
The angles come first in that triange and then the side
Each side of a square patio is 10.5 feet. The patio is made up of 1.5 foot by 1.5-foot square stones. What is the number of stones in the patio? Look at the solution below.
Does it include all the steps needed to solve the problem? Explain
10.5 x 10.5 = 110.25 PLZ SOLVE THE PROBLEM
110.25 ÷ 1.5 = 73.5
Answers
The steps your teacher gave you are on the right track, but not quite 100% correct.
The first line has us find the area of the entire patio. That area being 110.25 square feet.
The next step is to find the area of each stone. That would be 1.5 x 1.5 = 2.25 square feet.
Therefore, the patio is made up of 110.25 ÷ 2.25 = 49 tiles
When arranged into a square, we'll have a 7 by 7 square set of stone tiles. Notice how 7 x 7 = 49.
HEEEEEEEEELP PLZZZZZZZZZZ
Answers
Answer:
Step-by-step explanation:
(1). ( - 3, - 1 )
(2). ( - 1, 3 )
(3). ( 2, 0 )
(4). ( 1, 0 )
Find the pattern and state the next number.
1 1/2, 2/3, -1/6, -1, ???
help is highly appreciated :D
Answers
If we rewrite each term of the sequence to a common denominator then it makes it easier to see the pattern:
³/₂ , ²/₃ , ⁻¹/₆, -1 , ___
⁹/₆ , ⁴/₆ , ⁻¹/₆ , ⁻⁶/₆ , ___
This makes the pattern Xₙ = ⁹/₆ - ⁵⁽ⁿ⁻¹⁾/₆
∴ the missing term is ⁻¹¹/₆
After 3 years, a $1,500 investment is worth $1,680. What is the interest rate on the investment?
A. 0.04 percent
B. 2.0 percent
C. 4.0 percent
D. 37.3 percent
Answers
Answer:
the answer is C.
Step-by-step explanation:
your welcome..
Answer:
youre answer would be 4 so that would be C
Can someone help me do this
Answers
Answer:
T
Step-by-step explanation:
what is 8÷1,766 plz tell me the work to thx:)
Answers
Answer:
.00453001132502831257078142695357
Step-by-step explanation:
Use standard algorithm. Keep adding zeros to 8. Don't forget decimal points.
Explanation is in the pic, hope this helps!
-kiniwih426
I NEED THIS NOW PLEASE SOMEONE GIVE ME A CORRECT AWNSER
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Answer:
25
Step-by-step explanation:
Divide. Round to the nearest tenth
9.23 divided by .48
Answers
Answer:
19.229166666666666666
In a class the ratio of boys to girls is 3:3. During a school tour,1/3 of the boys missed the trip.15 boys missed the trip, how many girls are there in the class ?
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Answer:
45
Step-by-step explanation:
pls find the attached image
Plz help it’s due tonight!!!
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Answer:
x = 12
A = 83
B = 38
c = 59
Step-by-step explanation:
Please help me with this question.
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solve for k 2k-9[tex]\leq[/tex]-19
Answers
Answer:^3−28
Step-by-step explanation:
What is a strategy for dividing 428 by 107?
Answers
Answer:
4Step-by-step explanation:
428÷107
Use the 1 st
digit 4 from dividend 428
107)1
107)428
Since 4 is less than 107, use the next digit 2 from dividend 428 and add 0 to the quotient
107)02
107)428
Use the 2nd
digit 2 from dividend 428
107)03
107)428
Since 42 is less than 107, use the next digit 8 from dividend 428 and add 0 to the quotient
107)004
107)428
Use the 3rd
digit 8 from dividend 428
107)005
107)428
Find closest multiple of 107 to 428. We see that 4×107=428 is the nearest. Now subtract 428 from 428 to get reminder 0. Add 4 to quotient.
107)0046
107)428
107)428
107)9990
Since 0 is less than 107, stop the division. The reminder is 0. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
Quotient: 4
Reminder: 0
Marco purchases dog food by the pound for his dog , Bruiser. His total purchase is $34.20, and the food is $4.65 per pound. Write a division problem that could be used to determine how many pounds of dog food Marco purchased.
Answers
Answer:
34.20/4.65=7.35 pounds of dog food
Step-by-step explanation:
total/per pound=# of pounds
34.20/4.65
Select two real-life situations that use parallel lines.
A four-way stop on a street represents parallel lines.
A four-way stop on a street represents parallel lines.
Pages of a book represent parallel lines.
Pages of a book represent parallel lines.
Railroad tracks are parallel.
Railroad tracks are parallel.
The out of bounds lines on a football field are parallel.
The out of bounds lines on a football field are parallel.
The hands on a clock are parallel.
Answers
Add −1.5+1.75
Plot the first addend and the sum on the number.
Answers
Answer:
0.5+0.75=0.80
now
1+1=2
2+0.80=2.89
Answer:
.25
Step-by-step explanation:
its very easy btw you shouldn't have needed to post it just use a calculator.
negative 4 plus what equals negative 2?
Answers
Explanation:
-4 + x = -2
x = 2
A triangles angles have a ratio of 294 what are all three angles
Answers
Answer:
24:108:40 in this order
Step-by-step explanation:
2+9+4=15
180÷15=12
2•12=24
9•12=108
4•12=48
Thomas and Silvia are brother and sister. Thomas is 12 years older than Silvia and their combined ages are 44. How old are Thomas and Silvia?
show work please
Answers
so in conclusion, thomas is 22 and silvia is 10
but that answer is wrong.
44 minus 12 is 32, now divide 32 by 2 and you get 16.
so this would mean that thomas is 32, and silvia is 16, but that doesn’t add up either.
vx-w=2
rearrange it and make x the subject
Answers
Answer:
[tex]vx - w = 2 \\ vx = 2 + w \\ x = \frac{2 + w}{v} [/tex]
Mr. Robins earns a commision on each airfare he books. At the end of the day, he had booked $208.60 worth of airfare and earned $31.29. What is Mr.Robins commision rate
Answers
($31.29 / $208.60) * 100% = 15%
3.4x-7.2=5.8x+24
I need help
Answers
3.4 - 5.8x = 24 + 7.2
-2.4x = 31.2
-2.4x / -2.4 = 31.2 / -2.4
x = -13
The difference of an integer p and -8 is 3.Find the value of p
Answers
Answer:
-11 or -5
Step-by-step explanation:
If the difference here means subtraction then it's -11, if it means the opposite, then it's -5
Dan rolls a fair dice 24 times.
How many times would Dan expect to roll a number greater than 1?
Answers
i need help is my answer is correct or not yallll ...
Answers
Answer:
YES you are
Step-by-step explanation: