A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE
Answers
Complete Question:
A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE. What is BD?
*The circle is attached below in the attachment
Answer:
BD = 11
Step-by-step explanation:
Given:
AE = x
EC = x + 12
BE = x + 2
ED = x + 5
Required:
Length of BD
Solution:
First, create an equation to find the value of (x + 2)(x + 5) = (x)(x + 12) => intersecting chords theorem
x(x + 5) + 2(x + 5) = x(x + 12)
x² + 5x + 2x + 10 = x² + 12x
Add like terms
x² + 7x + 10 = x² + 12x
Subtract x² from each side
x² + 7x + 10 - x² = x² + 12x - x²
7x + 10 = 12x
10 = 12x - 7x
10 = 5x
10/5 = 5x/5
2 = x
x = 2
Next, find BD:
BD = BE + ED
BD = x + 2 + x + 5
Add like terms
BD = 2x + 7
Plug in the value of x
BD = 2(2) + 7
BD = 4 + 7
BD = 11
Answer:
What is BD?
11 units
Step-by-step explanation:
Related Questions
they have 46 row in a theater. there are 42 seats and 50 seats empty calculate how many person was watching the show.
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Answer:
8 people watched the show
Step-by-step explanation:
50 - 42 = 8
Lauren uses a calculator to find Three-fourths divided by StartFraction 3 plus 9 over 36 EndFraction and gets a result of Nine-fourths. Which statement best describes her work?
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Answer:
11/20
Step-by-step explanation:
Find the length of the diagonal for a square that is 6 cm. by 6 cm. Leave answer in simple radical form, if necessary.
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Answer:
[tex]6\sqrt{2}[/tex]
Step-by-step explanation:
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using the pythagoras theorem,
[tex]6^{2} + 6^{2} = d^{2}[/tex]
[tex]d=\sqrt{72}[/tex]
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[tex]6\sqrt{2}[/tex]
HELP! What is the solution to the linear system? (Picture included)
Answers
Answer:
(15,9)
Step-by-step explanation:
The solution to the system is where the two graphs intersect
The intersect at x=15 and y =9
(15,9)
a telephone pole is 24 feet tall
Answers
Answer:i honestly dont know just trying to get points
Step-by-step explanation:
The sum of the first eight terms in a Geometric Series is 19680 and the sum of the first four terms is 240. A) Find the first term. B) Find the common ratio. C) Justify your answers by showing steps that demonstrates your answers generate S8=19680 and S4=240.
Answers
Answer:
First Term = 6
Common Ratio = 3
Step-by-step explanation:
According to the Question,
Given, The sum of the first eight terms in a Geometric Series is 19680 and the sum of the first four terms is 240 .Thus, [tex]S_{8} = 19680[/tex] & [tex]S_{4} = 240[/tex] .
The Sum of n-term of Geometric Mean is [tex]S_{n} = \frac{a(r^{n-1)} }{r-1}[/tex] Where, r>1 , a=First term of G.P & r=common Ratio .Now, on solving [tex]\frac{S_{8} }{S_{4} }[/tex] we get,
[tex]\frac{19680}{240} = \frac{\frac{a(r^{8-1)} }{r-1}}{\frac{a(r^{4-1)} }{r-1}}[/tex]
[tex]82 = \frac{r^{8}-1 }{r^{4}-1 }[/tex]
[tex]82r^{4}-82 = r^{8}-1\\r^{8}-82r^{4}+81 = 0\\r^{8}-81r^{4}-r^{4}+81 = 0\\(r^{4}-81)( r^{4}-1) =0[/tex](r=1 is not possible so neglect [tex]( r^{4}-1) =0[/tex] )
So, r=3 Now Put this value in [tex]S_{4} = {\frac{a(r^{4-1)} }{r-1}}[/tex] We get a=6 .
Can you guys help me pleaseeeee!
Answers
Answer: A) True
Step-by-step explanation:
GF and KJ are marked with one dash indicating the are congruent. Same for FH and JL but this time it's marked with 2 dashes. Angles F and J are congruent because they are both right angles. So, we have a side congruent an angle congruent and a side congruent. We can use SAS to say they are congruent.
(Brainliest?)
I will pay for the answer.
Answers
Answer:
D
8x^2-12x+5
thanx for youer sug
Answer:
[tex]8x^2-12x+5[/tex]
Step-by-step explanation:
This is the same as saying h(g(x)). All you do is take the g(x) equation and plug that in for x in the h(x) equation.
h(x) = 4x+1 Plug in g(x) equation for x
h(g(x)) = [tex]4(2x^2-3x+1)+1[/tex] Distribute the 4 and simplify
h(g(x)) = [tex]8x^2-12x+5[/tex]
(05.02)
Solve the following system of equations: (1 point)
x − 2y = 14
x + 3y = 9
Group of answer choices
(1, 12)
(−1, −12)
(12, −1)
(12, 1)
Answers
Use Venn diagrams notation to describe the shading of
A
B
Answers
Answer:
A ∩ B
Step-by-step explanation:
The shaded part is in common between the two diagrams
We can write this part in this way :
A ∩ B
What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)?
A.) 4x - 5y = 5
B.) 5x + 4y = 37
C.) 4x + 5y = 5
D.) 5x - 4y = 8
Answers
Answer: A , 4x - 5y = 5
Step-by-step explanation:
i just did it , duhhh
Answer:
a
Step-by-step explanation:
if the time is 7:32 what time will it be in 9 hours and 25 minutes?
Answers
Answer:
The time would be 4:59
Step-by-step explanation:
What is the simplified value of the exponential expression 273?
不
1
Ο Ο Ο
9
Answers
Answer:
The answer is 3
For the steps, Im leaving it blank for you to figure it out first.
If you really need help, ask anytime and I'll reply as soon as i can :)
The domain of the following relation R {(3, −2), (1, 2), (−1, −4), (−1, 2)} is (1 point)
a
{−1, 1, 3}
b
{−1, −1, 1, 3}
c
{−4, −2, 2, 2}
d
{−4, −2, 2}
Answers
The domain is set of all x-values. From an ordered pair (x,y) the domain would be the value of x. That means y-value is clear out since it is not domain but range or co-domain.
Given the set of relations below:
R = {(3,-2), (1,2), (-1,-4), (-1,2)}
The domain would be {3,1,-1} which if we arrange from least to greatest, we'd get {-1,1,3}. Remember that we don't write the repetitive numbers or same two numbers in the set.
Answer
{-1,1,3}Carl starts to use the standard algorithm to solve 2,375 × 6. His work is shown below.
What number should Carl replace y with?
Answers
y=2
-0,05.[tex]\sqrt{28800}[/tex]
Answers
Answer:
-8.4855
Step-by-step explanation:
[tex]-0,05 \ \cdot \ \sqrt{28800}\\\\ = -0.05 \ \cdot \ 169.71\\\\= -8.4855[/tex]
Find the missing length indicated
Answers
Answer:
x = 240
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
( leg of big Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )
x² = 144 × 400 = 57600 ( take the square root of both sides )
x = [tex]\sqrt{57600}[/tex] = 240
A food sample contains 300 bacteria. The doubling time for bacteria left at room temperature is 20 minutes. How many minutes will it take to reach an unsafe level of 100000 bacteria?
Answers
Answer:
167.6 minutes
Step-by-step explanation:
The formula is given as:
P(t) = Po × (2)^t/k
Where
P(t) = Population after time t = 100000
Po = Initial population = 300
k = Doubling time = 20 minutes
t = Time = ?
Hence:
100000 = 300 × (2)^t/20
Divide both sides by 300
100000/300 = (300 × (2)^t/20)/300
333.3 = 2^t/20
Take the In of both sides
In 333.3 = In (2^t/20)
In 333.3 = t/20 In 2
Divide both sides by In 2
In 333.3/In 2 =( t/20 In 2)/In 2
8.3806775072 = t/20
Cross Multiply
t = 8.3806775072 × 20
t = 167.61355014 minutes
Approximately = 167.6 minutes
Therefore, the time it will take to reach an unsafe level of 100000 bacteria is 167.6 minutes
Someone help fast please
Answers
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The sequence of payment is geometric , that is
1, 3, 9, ...
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 1 and r = 3 ÷ 1 = 3 , then
[tex]S_{15}[/tex] = [tex]\frac{1(3^{15}-1) }{3-1}[/tex] = [tex]\frac{14348907-1}{2}[/tex] = [tex]\frac{14348906}{2}[/tex] = 7174453 cents and
7174453 ÷ 100 = $71,744.53 → A
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Answers
Answer:
7,8
Step-by-step explanation:
n^2+(n+1)^2=113; this is the information we are provided in the question.
n^2+n^2+2n+1=113 ; just expanding the numbers
2n^2+2n-112=0 ; moving everything to the same side
n^2+n - 56= 0 ; divide everything by two
(n-7)(n+8)=0 : factor the polynomial
so answers for n are: 7 and -8. since the questions asks for positive numbers -8 cannot be correct.
so n=7
n+1 = 8
Matilda and Lorraine work in the mail room of a large company sorting letters. Matilda has already sorted 50 letters and continues sorting at a rate of 50 letters per hour. Lorraine has already sorted 80 letters and continues sorting at a rate of 40 letters per hour.
Which function can Matilda and Lorraine use to determine the total number of letters they have sorted after x hours? How many letters will they have sorted after 6 hours?
A.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 100x + 120. Thus, they will have sorted 720 letters in 6 hours.
B.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 130. Thus, they will have sorted 670 letters in 6 hours.
C.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 130x + 90. Thus, they will have sorted 870 letters in 6 hours.
D.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 30. Thus, they will have sorted 570 letters in 6 hours.
Answers
Answer:
B
Step-by-step explanation:
40x + 80
50x + 50
add them together
A and B contributed 2700 and 1800 respectively to start a business. They agreed to share the profit in the ratio 7:5 respectively. If the profit made was 900, Calculate A's share as a percentage of total profit.
Answers
Answer:
58.33%
Step-by-step explanation:
A's Contribution = 2700
B's Contribution= 1800
Ratio = 7:5
Profit = 900
Total Ratio = 7+5 = 12
First , Calculate both share of the profit.
A's Share= 7/12 ×900
525
B's share= 5/12 ×900
375
Now , express A's Share as a percentage
A's Share= 525/900 ×100
58.33%
Use similar triangles to find the value of x and y
Answers
Answer:
x = 12
y = 9.6
Step-by-step explanation:
Using ratios
5 10
--- = -----
6 x
Using cross products
5x = 6*10
5x = 60
Divide by 5
5x/5 = 60/5
x = 12
5 8
--- = -----
6 y
Using cross products
5y = 6*8
5y = 48
Divide by 5
5y/5 = 48/5
y = 9.6
Answer:
the other guy/ girl is correct!
Step-by-step explanation:
i'm doing practice problems by solving unsolved similarity math problems on brainly. his/her answers is correct!
A 68 year old retiree has a pension savings of $40,000, a 401k of $63,000, and an IRA account of $59,000. Before 2008, he had 2% more cash in the pension, 12% more in the IRA, and 1% more in the 401k. He wants to take out 2% from each account before he turns 72, which will cost him a penalty of an extra 1% from the current total pension amount, 2% from the 401k, and 6% from the IRA. What amount will the retiree have in his IRA account if he takes that money out now? Do not include $ in answer. Example, if answer is $7, put 7.
Answers
Answer:
54,280
Step-by-step explanation:
In Pic
Which function vertex form is equivalent to f(x)=x^2+6x+3?
Answers
Answer:
y = (x + 3)² - 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = x² + 6x + 3
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
f(x) = x² + 2(3)x + 9 - 9 + 3
= (x + 3)² - 6 ← in vertex form
Financial software can do all of the following except ____.
A.
prepare your taxes
B.
apply for loans
C.
keep track of expenses
D.
monitor your savings
Answers
Answer: Apply for loans
Step-by-step explanation:
I just took the quiz off gradpoint :) trust me its right!!!!
solve for x and y, round to one decimal place
Answers
Answer:
x=48
y=50
Step-by-step explanation:
mark me as BRAINLIEST
follow me
carry on learning
correct me if im wrong
Y=50 I think this is right but I’m not sure
Simplify the following expressions without using calculator 8/(2sqrt(6) + 3) - 4/(2sqrt(6) -3)
Answers
Step-by-step explanation:
[tex] \tt \longrightarrow \dfrac{8}{2 \sqrt{6} + 3 } - \dfrac{4}{2 \sqrt{6} - 3 } \\ \\ \tt \longrightarrow \dfrac{8(2 \sqrt{6} - 3) - 4(2 \sqrt{6} + 3)}{(2 \sqrt{6} + 3)(2 \sqrt{6} - 3 ) } \\ \\ \tt \longrightarrow \dfrac{16\sqrt{6} - 24 - 8 \sqrt{6} - 12}{(2 \sqrt{6} ) {}^{2} - (3) {}^{2} } \\ \\ \tt \longrightarrow \dfrac{8\sqrt{6} - 36}{24 - 9 } \\ \\ \tt \green{\longrightarrow \dfrac{8\sqrt{6} - 36}{15 }} [/tex]
D and E are points on sides AB and AC respectively of triangle ABC such that DE || BC. If AD = x-1, DB = x – 3, AE = x + 3 and EC = x , the value of x is:
Answers
9514 1404 393
Answer:
9
Step-by-step explanation:
The triangles are similar, so corresponding sides are proportional.
AE/AD = EC/DB
(x+3)/(x -1) = x/(x -3)
x^2 -9 = x^2 -x . . . . . . . cross multiply
x = 9 . . . . . . . . . . . add x+9-x^2 to both sides
The Tetrahedron Superyacht designed by Jonathan Schwinge is a regular tetrahedron with edges 20 m
long. The distance r from one corner to the center of the base (shown in the picture below) is 11.5 m.
pecial rig
What is the vertical height h of the tetrahedron?
Round your answer to the nearest tenth of a meter.
% 4 day
h
m
Answers
Answer:
16.36 the proof is in the picture
Step-by-step explanation:
