Answer:
[tex]AB = 6[/tex] [tex]BC = 8[/tex] [tex]AC = 10[/tex]
Step-by-step explanation:
The picture of the triangle is missing.
Given
[tex]AC = x + 4[/tex]
[tex]BC = x + 2[/tex]
[tex]AB = x[/tex]
Required
Find x
When Pythagoras theorem is applied, we have:
[tex](AC)^2 = (BC)^2 + (AB)^2[/tex]
This is so, because AC is the hypotenuse
So, we have:
[tex](x+4)^2 = (x+2)^2 + x^2[/tex]
Open brackets
[tex]x^2 + 4x + 4x + 16 = x^2+2x + 2x + 4 + x^2[/tex]
[tex]x^2 + 8x + 16 = x^2+4x + 4 + x^2[/tex]
Collect Like Terms
[tex]x^2 -x^2 - x^2 + 8x -4x + 16 - 4 = 0[/tex]
[tex]- x^2 + 4x + 12 = 0[/tex]
Expand:
[tex]- x^2 + 6x -2x+ 12 = 0[/tex]
Factorize:
[tex]-x(x -6) -2(x- 6) = 0[/tex]
[tex](-x -2)(x- 6) = 0[/tex]
Split
[tex]-x - 2 = 0[/tex] or [tex]x - 6 = 0[/tex]
[tex]-x = 2[/tex] or [tex]x = 6[/tex]
[tex]x =-2[/tex] or [tex]x = 6[/tex]
Because [tex]BC = x + 2[/tex] and [tex]AB = x[/tex]
[tex]x =-2[/tex] can not be considered.
Hence:
[tex]x = 6[/tex]
Substitute 6 for x in
[tex]AC = x + 4[/tex]
[tex]BC = x + 2[/tex]
[tex]AB = x[/tex]
[tex]AC = 6 + 4[/tex]
[tex]AC = 10[/tex]
[tex]BC = 6 + 2[/tex]
[tex]BC = 8[/tex]
[tex]AB = 6[/tex]
help me.... this is do in 13 min
Answer:
d
Step-by-step explanation:
I messed up somewhere I think ugh
Answer:
¯\_(ツ)_/¯
Step-by-step explanation:
Answer:
Step-by-step explanation:
n≤-2
n≥-4
or -4≤n
combining
-4≤n≤-2
fill in the blanks _ + _ = 10.5
Answer:
there can be many answerrrs I guess
.
Step-by-step explanation:
5.25+5.25=10.5
2.5+8=10.5
have a great day :)
it’s multiple choice please help i’ll mark brainliest !
THe answer is the third one
Answer:
C?
Step-by-step explanation:
What the area of the large square?
Answer:
[tex]x^{2}[/tex]
Step-by-step explanation:
x · x =[tex]x^{2}[/tex]
I need help plz I will mark brainliest
Scarlett is going to invest in an account paying an interest rate of 4% compounded daily. How much would Scarlett need to invest, to the nearest ten dollars, for the value of the account to reach $54,000 in 8 years?
Answer: 39210
Step-by-step explanation:
Eli burned 1449 calories running a half marathon. If he finished in 2 hours and 6 minutes.ow many calories did he burn per minute
Please help!!!!!!!!!!
Answer: angle 1 = 51, angle 2 = 18, angle 3 = 123, angle 4 = 39
Step-by-step explanation:
72+57=129 180-129= 51 degrees for 1
90-72= 18 degrees for 2
180-57= 123 degrees for 3
123+18=141 180-141= 39 degrees for angle 4
Which type of heat transfer causes air movement between land and ocean?
Answer:
Energy is transferred between the Earth's surface and the atmosphere in a variety of ways, including radiation, conduction, and convection. Conduction is one of the three main ways that heat energy moves from place to place.
Step-by-step explanation:
What is the diameter of X?
12 cm
4 cm
8 cm
2 cm
Answer:
diameter =2xradius
diameter=2x4
diameter =8cm
Answer:8cm
Step-by-step explanation:
To find the quotient of 4-5 multiply 4 by
A. 1/5
B. 1/4
C. 4
D. 5
Answer:
5
Step-by-step explanation:
when dividing number by fractions,we can simply multiply the number by the reciprocal of the decimal
so,4÷1/5=4 ×(reciprocal of 1/5 )
A reciprocal of a number is the same no.written under 1 aka.1divided by that number which simply is flipping
numerator and denominator .
reciprocal of 1/5 is 5/1 =5
so 4÷1/5 = 4×5
so answer is 5
hope this is helpful
What is the result when the number 52 is decreased by 50%?
Answer: You get 26, If this wasn't what you were looking for let me know! :)
Step-by-step explanation:
Duncan and his family are season ticket holders for their favorite baseball team. Last year, the cost of season tickets was $2,730. This year, the cost is $3,333.80. What was the percent of increase in the cost of season tickets?
Round your answer to the nearest tenth of a percent.
Answer:
10%
Step-by-step explanation:
To find the answer we need to know what percentage of $1030 is $927 and to do this we can multiply 927 by 100 and divide by 1030.
(927(100))/1030
92700/1030
90
so now that we know $927 is 90% of $1030 we can subtract 90 from 100 and it'll give us the percentage decrease. Which is 10%.
Hope this helps!!!!!!!!!!!!
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Find two consecutive whole numbers that 34 lies between.
Answer:
34 lies in between 5 and 6
5^2=25, 6^2=36, so sqrt(34) lies between 5 and 6
Find the 8th term in the following sequence.
32, 16, 8, 4, ..
02
O 114
O 1/2
O 1
A baseball pitcher won 60% of his games. How many did he win if he pitched 35 games?
Answer:
21 games
Step-by-step explanation:
Multiply the number of games by the percentage.
35 · 0.60 = 21
Apply the distributive property to create an equivalent expression,
1/3(3j+ 6)
Answer:
j + 2
Step-by-step explanation:
1/3(3j) + 1/3(6)
1/3(3j) = j
1/3(6) = 2
Answer: j + 2
Help plz:)))I’ll mark u Brainliest
Answer:
22-18-25,
19-24-30,
7-24-25
Step-by-step explanation:
In a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], any two sides must have a sum larger than the third.
Using this rule, the possible side lengths out of these choices that could form a triangle are:
22-18-25,
19-24-30,
7-24-25
Use the theorem part 1
Answer:
(a)
Step-by-step explanation:
The base angles theorem states that if 2 sides of a triangle are congruent, that is an isosceles triangle then the angles opposite these sides are equal.
Answer:
a) Base Angle TheoremStep-by-step explanation:
The Base Angle Theorem states that in an isosceles triangle, the angles opposite the congruent sides are congruent.
Please help (8th grade math)
Answer:
-1
Step-by-step explanation:
since the line increases by 1 along the x axis and goes down by 1 on the y axis, you can do rise over run, which gives you:
1 / -1 , which ultimately gives you -1.
Find the intercepts of
y= 2x -4
Answer:
y intercept is -4
x intercept is 2
Find the sum of the following series. Round to the nearest hundredth if necessary. 4 + 24 + 144 +... + 6718464
Answer:
Your answer is 264
Step-by-step explanation:
A manufacturing company has 1000 employees. 10% of the employees earn less than
Rs.500 per day, 200 earn between Rs.500 and Rs.999; 30% earn between Rs.1,000
and Rs.1,499; 250 employees earn between Rs.1,500 and 1,999 and rest earn Rs.2,000
and above. Calculate the suitable average wage. Give the reason for your choice of
average.
Answer:
heehhe
Step-by-step explanation:
vwhehehhehdhdhd
Need help with this
Please help this is for another person who doesn’t know the answer :)
Answer:
The answer is,
[tex]x = \frac{4 + \sqrt{19} }{6}, \frac{4 - \sqrt{19} }{3} [/tex]
What inequality is true
Answer:
I'm pretty sure it c because pie is 3.14 and that time 3 would be a little over 9
On average, 3 percent of U.S. travelers do not show up for their flight. Suppose this probability is independent and constant across travelers. For a given flight from Seattle to San Francisco, an airline accepted a total of 103 reservations while the plane capacity is 100 seats. What is the probability that the airline will have to bump at least one passenger
Answer:
.3988 .
Step-by-step explanation:
We shall use Binomial distribution formula in the problem .
n = 103
The probability that a passenger will not miss the flight and show up = .97
The probability that a passenger will miss the flight = .03
n = 103 ,
probability of showing up 101 , 102 and 103 passengers so that at least 1 passenger will return or bump .
= 103C₁₀₁ .97¹⁰¹ .03² + 103C₁₀₂ .97¹⁰² .03+ 103C₁₀₃ .97¹⁰³
103 x 102 /2 .97¹⁰¹ .03² + 103 .97¹⁰² .03 + .97¹⁰³
= 5253 x .046 x .0009 + 103 x .00134 + .0434
= .2174 + .1380 + .0434
= .3988 .
The probability that the airline will have to bump at least one passenger is; 0.3988
Binomial probability distributionProbability that the travelers did not show up for the flight is; q = 3% = 0.03
Probability that they will show up for the flight is; p = 97% = 0.97
The formula for binomial probability is;P(X = r) = nCr × p^(r) × q^(n - r)
Thus, the probability that the airline will have to bump at least one passenger is;
(103C₁₀₁ × 0.97¹⁰¹ × 0.03²) + (103C₁₀₂ × 97¹⁰² × 0.03) + (103C₁₀₃ × 0.97¹⁰³ × 0.03⁰)
>> 0.2174 + 0.1380 + 0.0434
>> 0.3988
Read more on binomial probability at; https://brainly.com/question/15246027
Which expressions are equivalent to 4b+12?
Answer:
4(b+3)
Step-by-step explanation:
can't really explain it sorry
£5-2 x 0.81=
Answer for school and explanation please. would be great help
Answer:
3.38
Step-by-step explanation:
first do the multiplication
2×0.81
= 1.62
then the subtraction
5- 1.62= 3.38
