In circle L, AD is 10 units long. Which of the following lengths are even numbers? Select all that apply.
(SEE ATTACHED PHOTO)
Answers
The chords in the circle L are illustrations of intersecting chords
The lengths that are even numbers are FJ and GJ
How to determine the even lengths?The length AD is given as:
AD = 10
From the circle, we have:
AD = AH + HK + KD
Where:
AH = 3 and KD = 2
So, we have:
10 = 3 + HK + 2
Solve for HK
HK = 5 ---- odd length
Next, we calculate length FH using the following intersecting chord theorem
FH * HB = AH * HD
This gives
(FJ + 3) * 3 = 3 * (2 + 5)
Divide by 3
FJ + 3 = 7
Subtract both sides by 3
FJ = 4 --- even length
Next, we calculate length KE using the following intersecting chord theorem
KE * KC = KD * KA
This gives
KE * 3.2 = 2 * (5 + 3)
Evaluate the product
KE * 3.2 = 16
Divide by 3.2
KE = 5 --- odd length
Next, we calculate length GJ using the following intersecting chord theorem
GJ * JE = FJ * JB
This gives
GJ * 4.5 = 4 * (6 + 3)
Evaluate the product
GJ * 4.5 = 36
Divide by 4.5
GJ = 8 --- even length
Hence, the lengths that are even numbers are FJ and GJ
Read more about intersecting chords at:
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Related Questions
Find x . Round your answer to the nearest tenth of a degree.
Answers
The value of a, b and <A are 17.4, 119.3 and 42 degrees respectively
Trigonometry identityFrom the given right angles triangle, we have the following parameters;
<A + 48 + 90 = 180 (sum of angles in a triangle)
<A =180 - 138
<A = 42 degrees
Using the SOH CAH TOA identity
sin48 = b/26
b = 26sin48
b = 19.3
For the value of a
sin42 = a/26
a = 26sin42
a = 19.3
a =17.4
Hence the value of a, b and <A are 17.4, 119.3 and 42 degrees respectively
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
Find the ratios of the quantities below and write them in the form a/b (a over b)
1. 8cm and 17cm
2. 3800$ and 1500$
3. 1 1/2 day and 13 hours
Answers
Answer:
Hope the picture will help you
Luca owns a pool cleaning business. Luca wants to have a monthly profit of $5,867.00 with 50 costumers, fixed monthly expenses of $2,510.00, and variable expenses of $18.40 per pool. determine how much Luca needs to charge per customer to reach his profit goal.
$164.82
$170.34
$185.94
$200.31
Answers
Answer:
$185.94
Step-by-step explanation:
5,867+2,510= 8,377
8,377÷50c= 167.54
167.54+18.40= $185.94
Maria bought a laptop computer for $850. The value of the computer depreciates about 25% each year. After 3 years, she decides to sell it to her younger brother. What is a fair price for the computer?
Answers
Using the depreciation formula:
start value x percent of value^time
850 x 0.75^3 = $358.59
answer: $358.59
Answer: $358.59
Step-by-step explanation:
[tex]$$After one year the laptop computer's price is:$$\begin{aligned}&=\$ 850-\$ 850 \times 25 \% \\&=\$ 850-\$ 212.5 \\&=\$ 637.5\end{aligned}$$[/tex]
[tex]$$ Again two year the computer's price is:$$\begin{aligned}&=637.5-25 \% \text { of } 637.5 \\&=637.5-159.375 \\&=\$ 478.125\end{aligned}$$[/tex]
[tex]\bold{\text { So a fair price for the computer is } \$ 358.59}[/tex]
[tex]\begin{aligned}\\\bold{Or}\text { Simply Calculate as } &=(\text { Purchase price }) \times(1-25 \%)^\text{time} \\&=850 \times(1-0.25)^{3} \\&=850 \times(0.75)^{3} \\\bold{&=\$358.59}\end{aligned}[/tex]
WILL GIVE BRAINLIEST !! I NEED HELP ASAP
In the figure, ABCD is a rhombus.BG and DCG are straight lines
Find CAD
Find ACG
Answers
Answer:
Below in bold.
Step-by-step explanation:
1) as ABCD is a rhombuc AC bisects < BAD and < BCD .
Therefore < CAD = 1/2 * 104 = 52 degrees.
2) < ACG = < ADC + < CAD ( External angle of triangle theorem)
Therfore < ACG = 76 + 52 = 128 degrees.
Substititue 5 for x. Is the solution true?
3x + 4 - x = 4x - 6
Answers
Answer:
It's a true solution.
Step-by-step explanation:
[tex]3(5) + 4 - 5 = 4(5) - 6[/tex]
[tex]15 + 4 - 5 = 20 - 6[/tex]
[tex]19 - 5 = 14[/tex]
[tex]14 = 14[/tex]
Frazer scores 70% in a spelling test. If there are 40 spellings, how many did he get right?
Answers
Explanation: 40 x .70 = 28
Hope this helps and please mark brainliest!
The number of the correct spellings is 28.
What are percentages?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
Frazer scores 70% on a spelling test. If there are 40 spellings,The number of the spellings are:-
N = 40 x 70% = 28
N = 40 x (70/100) = 28
Therefore the number of the correct spellings is 28.
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#SPJ2
i need help please hellp me
Answers
Answer:
Step-by-step explanation:
3
Can someone help me with this pls
Answers
Correct solution:
⇒ 8 ÷ 1/8⇒ 8 x 8⇒ 64A pound of apples costs $1.30. Sawyer bought 2 1/2 pounds of apples. How much did Sawyer pay?
A.$3.50
B.$3.25
C.$4.00
D.$2.25
Answers
2 1/2 pounds = 2.5 pounds
A pound of apples cost $1.30 -> 2.5 pounds of apples cost 1.3 x 2.5 = 3.25
-> Answer : B
Help, please! It's all in the screenshot
Answers
A:
5=2+3
-> right triangle
B:
5=4+3
-> not a right triangle
C.
36= 25+16
36= 41
-> not a right triangle
D.
49= 25+25
49=50
-> not a right triangle
E.
100= 36+ 64
100= 100
-> right triangle
Explain how you know 3⁴=9² without calculating the values.
Answers
Answer:
See below
Step-by-step explanation:
[tex] {3}^{4} = ( {3}^{2} )^{2} = {9}^{2} \\ \\ \implies \: {3}^{4} = {9}^{2}[/tex]
Answer:
think of it like this
Step-by-step explanation:
whenyou have 9 squared you do 9*9 but since we are not able to calculate the values we will just say thereare 2 9's
Now we got 3^4 how many three's multiplied together make 9.. answer is 2 So If you simplify3^4 to 9^2 they are both the same
basically you are multtiplying the left side to get the same number on the right because it tells you they are even
Ill give brainliest please help .
Answers
Answer:
443.14
Step-by-step explanation:
A=6ah+33a2
=6·4·15+3·3·42
≈443.13844
Answer:
I believe the answer is 88 if correct please consider brainliest
<3
Step-by-step explanation:
5[tex]5x^{2} + 20x - 60 =[/tex]
Answers
Answer:
5
x
2
+
20
x
−
60
Factor
5
out of
5
x
2
+
20
x
−
60
.
Tap for more steps...
5
(
x
2
+
4
x
−
12
)
Factor.
Tap for more steps...
5
(
x
−
2
)
(
x
+
6
)
Step-by-step explanation:
ANSWER IS =5X2+20X-60
------------------------------
THIS ANSWER IS CORRECT
Pedro’s book weighs 194 pounds. blanca’s book weighs 177 pounds. use estimation to determine about how much more pedro’s book weighs than blanca’s.
Answers
(i dont know what you mean by that cause clearly just do 194 - 177 = 17 pounds)
Round 194 pounds to 190 ; 177 to 180
In estimation, Pedro's book weighs 190 - 180 = 10 pounds more.
190 : 180 = 1.06 times more.
The measures of two supplementary angles have a ratio of 4:5. What is the measure of the larger angle?
The measure of the larger angle is ____
Answers
Answer:
100 DEGREES
Step-by-step explanation:
Supplementary means they add to 180 degrees
4x + 5x = 180
x = 20
smaller angle 4 (20) = 80
learger angle 5 (200 = 100
Which polygons are congruent?
Select each correct answer.
5
20
20
25
25
Activate Windo
Answers
Answer:
All except the 3rd one
the one with 20 and 25
What percent is equivalent to 24\50? 24% 48% 50% 52%
Answers
Answer:
48%
Step-by-step explanation:
If you convert 24/50 to a percentage the answer is 48%
[tex] \frac{24}{50} [/tex]
to find:the equivalent percent.
solution:[tex] \frac{24}{50} [/tex]
[tex] = 0.48[/tex]
[tex]0.48 \times 100\%[/tex]
[tex] = 48\%[/tex]
therefore, the equivalent percent of 24/50 is 48%
8 less than a number is more than 12 numeral form
Answers
8 less than a number means to subtract 8 from that number.
answer: n - 8 > 12
Answer:
n - 8 > 12
Step-by-step explanation:
Let the number be n. Then n - 8 > 12
The blades of a windmill turn on an axis that is 35 feet above the ground. the blades are 10 feet long and complete two rotations every minute. which of the following equations can be used to model h, the height in feet of the end of one blade, as a function of time, t, in seconds? assume that the blade is pointing to the right, parallel to the ground at t = 0 seconds, and that the windmill turns counterclockwise at a constant rate. h = negative 10 sine (startfraction pi over 15 endfraction t) 35 h = negative 10 sine (pi t) 35 h = 10 sine (startfraction pi over 15 endfraction t) 35 h = 10 sine (pi t) 35
Answers
Answer:
it is c
Step-by-step explanation:
:)
The sine equation is [tex]\rm y = 10sin(\frac{\pi}{15} t)+35[/tex] an option (c) is correct.
It is given that the blades of a windmill turn on an axis that is 35 feet above the ground. the blades are 10 feet long and complete two rotations every minute.
It is required to model the sine equation.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We know the standard equation for the sine equation:
[tex]\rm y = Asin(wx)+h[/tex]
Where [tex]\rm T=\frac{2\pi}{w}[/tex]
[tex]\rm w = \frac{2\pi}{30}[/tex] ( In one minute, they complete two rotations.)
[tex]\rm w = \frac{\pi}{15}[/tex] ( T = 30)
At time t=0, the blade is horizontal. Hence, at t = 0, h = 35
And A = 10
Put all the values in the sine equation:
[tex]\rm y = 10sin(\frac{\pi}{15} t)+35[/tex]
Thus, the sine equation is [tex]\rm y = 10sin(\frac{\pi}{15} t)+35[/tex] an option (c) is correct.
Know more about trigonometry here:
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if a town with a population of 10,000 doubles in size every 17years wat will population be 68 years from now
Answers
Answer:
20,000×17 gives 340,000
340,000×68 which gives 23,120,000
What is the difference between the two fractions explain in full detail. Type out answer
Answers
Answer:
Step-by-step explanation:
There is no difference between the two fractions. I can show you this in the following way, assuming you understand the distributive property. We can write the fraction -7/2 in the following way:
[tex]-\frac{7}{2} =-1(7*2^-^1)[/tex]
Hopefully you agree with me that we can bring the 2 into the numerator if we switch the signs of the exponent. And hopefully you agree that a negative sign is equivalent to multiplying by -1. Therefore, this negative 1 can distribute to the 7 or the 2. It really does not matter. To sum this up:
[tex]-\frac{7}{2} =\frac{-7}{2} =\frac{7}{-2}[/tex]
What integer best represents
ascending 800 feet?
Answers
Answer:
positive interger.....
Which expressions are equivalent to In e?
Answers
Answer:
lne = log(e)e = 1
Step-by-step explanation:
I hope this helps!
Katie saves $5 every week. so far, she has saved a total of $63.
a) write an expression for Katie's saving using W for the number of weeks from today.
b) use your expression to find out how much money Katie had 5 weeks ago.
no links!!! pls, help!!!
Answers
b) 5(-5)+63= 38
Which of the following equations is CORRECT?
A. (a + b) (a – b) = a 2 + b 2
C. (a + b) (a – b) = a 2 + ab + ab + b 2
B. (a + b) (a – b) = a 2 − b 2
D. (a + b) (a – b) = a 2 − ab − ab − b 2
Answers
Answer:
Option C, the second one. (B and C are switched)
Step-by-step explanation:
a * a = a2
a * b = +ab
⬇️
2ab
⬆️
b * a = +ba or +ab
Two b's make b2 and don't worry, even with the negative sign it is a b2.
I need help!!!!! 4. Determine 3 possible solutions to the inequality below
Answers
Answer:
5,6,7
Step-by-step explanation:
the unfilled circle means that you dony inclued 4, and since the blue line is going u the scale means it can be any number higher than 4
The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40. The mean hours students reported practicing their instruments is . The mean absolute deviation for the data is .
Answers
Answer:
The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40.
The mean hours students reported practicing their instruments is
✔ 33
.
The mean absolute deviation for the data is
✔ 6
.
Step-by-step explanation: answers.
Classify each polynomial and determine its degree. the polynomial 3x2 is a with a degree of . the polynomial x2y 3xy2 1 is a with a degree of .
Answers
[tex]\rm 3x^2[/tex] is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex] is the polynomial of two variables with third-order
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have polynomials:
[tex]\rm 3x^2[/tex] and
[tex]x^2y+3xy^2+1[/tex]
For [tex]3x^2[/tex]
In this polynomial, the number of variables is one and the maximum power of x is 2, therefore:
This is the polynomial of one variable with second order.
In polynomial, [tex]x^2y+3xy^2+1[/tex] there are two variables x and y.
The maximum power of x is 3( x has a power of 2 and y has a power of 1)
This is the polynomial of two variables with third order.
Thus, [tex]\rm 3x^2[/tex] is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex] is the polynomial of two variables with third-order.
Learn more about Polynomial here:
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Answer:
The polynomial 3x2 is a monomial with a degree of 2
The polynomial x2y + 3xy2 + 1 is a trinomial with a degree of 3
Step-by-step explanation:
The length of a rectangle is 7 cm greater than its width. The area of the rectangle is 260 cm². This situation can be expressed by the equation w^2+7w−260=0.
What is the width of the rectangle? Remember that a measurement can only be positive.
Enter your answer in the box.
Answers
Answer:
I think the answer is 15 but I am not sure hoping this helps good luck
Answer:
its 13
Step-by-step explanation:
