Answers
Answer: x = 7 ft, DO = 25 ft, OG = 35 ft
Step-by-step explanation:
We will write an equation using the segment addition postulate.
Given by segment addition postulate:
DO + OG = DG
Substitute known values:
(4x - 3) ft + (2x + 21) ft = 60 ft
Combine like terms and simplify:
6x + 18 ft = 60 ft
Subtract 18 ft from both sides of the equation:
6x = 42 ft
Divide both sides of the equation by 6:
x = 7 ft
Now, we will "plug" this value in and solve for the segments.
DO ➜ (4x - 3)ft ➜ (4(7) - 3) ft ➜ 28 - 3ft = 25 ft
OG ➜ (2x + 21) ➜ (2(7) + 21) ft ➜ 14 + 21 = 35 ft
Related Questions
1) 3 (x - y)² - 10 (x-y) + 8
Answers
Answer:
[tex](3x-3y-4)(x-y-2)[/tex]
Step-by-step explanation:
Given expression:
[tex]3(x-y)^2-10(x-y)+8[/tex]
Let u = (x - y):
[tex]\implies 3u^2-10u+8[/tex]
To factor a quadratic in the form [tex]ax^2+bx+c[/tex] find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]:
[tex]\implies ac=3 \cdot 8=24[/tex]
[tex]\implies b=-10[/tex]
Therefore, the numbers are: -6 and -4.
Rewrite [tex]b[/tex] as the sum of these two numbers:
[tex]\implies 3u^2-6u-4u+8[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies 3u(u-2)-4(u-2)[/tex]
Factor out the common term (u - 2):
[tex]\implies (3u-4)(u-2)[/tex]
Substitute back in u = (x - y):
[tex]\implies (3(x-y)-4)((x-y)-2)[/tex]
Simplify:
[tex]\implies (3x-3y-4)(x-y-2)[/tex]
is this false, i think maybe because you cant factor the right side. am i right
Answers
Answer:
its true
Step-by-step explanation:
True/False: Negative numbers closed under subtraction.
Provide an example if false.
Answers
The statement is false .
let ; n=-5
m=-6
n - m= -5 -( -6 )
= -5 + 6
= 1
which is not a negative real number .
therefore it shows that negative real number are not closed under substrsction.
the process or skill of taking one number or amount away from another.
Example: 7-5=2
7 is a minuend
5 is a subtrahend
and 2 is a differenceSubtraction is an arithmetic operation that represents the operation of removing objects from a collection.
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Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer: y =
X
y
0
-8
1
2
3 4
28
1 10 19
Submit Answer
Answers
Answer:
xxx 20
Step-by-step explanation:
You arrive in Tokyo with $320. How many yen can you buy ?
Answers
Answer:
You can buy 31788.8 with $320.
Step-by-step explanation:
To calculate this, we know that yen is 0.01007 dollars per foreign. We also know that 1 dollar = 99.34 So, therefore you will multiply 320 * 99.34 and you will get 31788.8 Yen.
I hope this helps and have a good day! :D
Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (let |a| = 26 lb a
Answers
Magnitude of the resultant vector = 31.3 lb and Angle of the resultant vector = 23.3o are the magnitude of the resultant force and the angle .
what is magnitude of forces?
The amount that encapsulates the force's strength is known as its magnitude. Consider the following scenario: the force is 10 N in the east. The direction is indicated by "towards east," while the force is indicated by "10." Magnitude can be thought of as simply the "value" or "amount" of any physical quantity.a = 26 lb
Angle made by the vector 'a' = θ1 = 45o
Component of vector 'a' in the X-direction = ax = aCosθ1 = (26)Cos(45) = 18.38 lb
Component of vector 'a' in the Y-direction = ay = aSinθ1 = (26)Sin(45) = 18.38 lb
b = 12 lb
Angle made by the vector 'b' = θ2 = 30o
Component of vector 'b' in the X-direction = bx = bCosθ2 = (12)Cos(30) = 10.39 lb
Component of vector 'b' in the Y-direction = by = -bSinθ2 = -(12)Sin(30) = -6 lb
Let the resultant vector be 'c'
Component of vector 'c' in the X-direction = cx
cx = ax + bx
cx = 18.38 + 10.39
cx = 28.77 lb
Component of vector 'c' in the Y-direction = cy
cy = ay + by
cy = 18.38 + (-6)
cy = 12.38 lb
c=104)2 + (cy)
c= (28.77)2 + (12.38)2
c = 31.3 lb
Angle made by vector 'c' = θ
Tanθ =
Tanθ = 12.38 28.77
θ = 23.3o
a) Magnitude of the resultant vector = 31.3 lb
b) Angle of the resultant vector = 23.3o
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THE COMPLETE QUESTION IS -
Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (Let a = 26 lb and b = 12 lb. Round your answers to one decimal place.)
Solve the equation. Check your answer. 22 = 6x + 1 -3x what does x equal?
Answers
Answer:
7
Step-by-step explanation:
22=6x+1-3x
21=6x-3x
21=3x
7=x
your friend is also saving pennies. she puts one penny into her piggy bank the first day, two pennies the second day, four the third day, and so on, each day doubling the number of pennies added. how much money would she have at the end of vacation, if she could keep saving at this rate? (this would be hard to do, even if bill gates were your dad!)
Answers
money would she have at the end of vacation = 377,789,318,629,571,617,095.67 dollars.
What does "compounding" mean?When interest is applied to a principal amount together with the interest that has already been paid, this process is known as compounding. This means that compounding, sometimes known as the "wonder of compounding," can be thought of as interest on the compound, which has the effect of increasing returns from interest over time.
What is an appropriate compounding procedure?Current good compounding practices refer to the minimal requirements for the procedures, facilities, and controls used to compound medicine to ensure that it has the identity, and strength, and satisfies the quality and purity requirements it is claimed to have.
According to the given information:She puts in one penny the first day, 2 pennies the second, 4 pennies the third...and so on.
The total sum is thus,
(1, 3, 7, 15, 31, 63, 127)
Which translate to
(2^1-1, 2^2-1, 2^3-1, 2^4-1, 2^5-1, 2^6-1, 2^7-1,..)
So at the end of the 75th day, the total amount is 2^75-1
or
37778931862957161709567 pennies
or
377,789,318,629,571,617,095.67 dollars.
money would she have at the end of vacation = 377,789,318,629,571,617,095.67 dollars.
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I understand that the question you are looking for is:
Your friend is saving pennies. She puts one penny into her piggy bank the first day, two pennies the second day, four the third day, and so on, doubling the number of pennies added. How many much money would she have at the end of vacation, if she could keep saving at this rate? Vacation lasts 75 days.
i need help in algebra gang i pay 30 a month help mee
Answers
Answer:
2c+2
The number that will go in the green box is 2.
Step-by-step explanation:
3c-1-c+3
Combine the like terms.
3c-1-c+3=2c+2
Hope this helps!
Please mark as brainliest if correct!
1 of 6
01:52 / 08:00
When this expression is simplified, what is my final answers
-5(2x - 5)
O 10x + 25
O 52x - 25
O-7x + 25
O-10x + 25
Answers
Answer:
-10x + 25
Step-by-step explanation:
We will distribute the - 5 in to 2x which is - 10x
Then distribute - 5 to - 5 which is 25
can someone help me solve this problem?
Answers
Answer:
no
Step-by-step explanation:
x=5
5(5+2)=35
8(5)-3=37
37 does not equal 35
[tex]Answer: Q\ is\ not\ midpoint\ of\ \overline {PR}[/tex]
Step-by-step explanation:
[tex]\displaystyle\\\overline {PQ}+\overline {QR}=\overline {PR}\\5(x+2)+(8x-3)=72[/tex]
Expand the parentheses on the left side of the equation:
x(5)+2*(5)+8x-3=72
5x+10+8x-3=72
13x+7=72
13x+7-7=72-7
13x=65
Divide both parts of the equation by 13:
x=5
Hence,
5(5+2)=
5(5)+2(5)=
25+10=
35
8(5)-3=
40-3=
37
35≠37
Which expression represents the product of n and
25?
A. 25n
C. 25 + n
B. 25-n
D. 25 ÷ n
Answers
Answer:
25n
Step-by-step explanation:
product of n and 25
Product means multiply
25n
To pay for a home improvement project that totals $9,000, Genesis is choosing between taking out a simple interest bank loan at 9% for 3 years or paying with a credit card that compounds monthly at an annual rate of 18% for 7 years. Which plan would give Genesis the lowest monthly payment?
The monthly credit card payment would be $295, which is lower than the monthly payment on the bank loan.
The monthly payment on a bank loan would be $272.50, which is lower than the monthly credit card payment.
The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.
The monthly credit card payment would be $374.21, which is lower than the monthly payment on the bank loan.
Answers
well, first off, let's see how much each one costs per month.
so, hmmm if she goes with the Bank loan at 9% for 3 years
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$9000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\dotfill &3 \end{cases} \\\\\\ A=9000[1+(0.09)(3)] \implies \boxed{A = 11430}[/tex]
now, that's for 36 months, so she'd be owing the Bank per month [tex]\cfrac{\stackrel{total}{11430}}{\underset{months}{36}}~~ = ~~\text{\LARGE 317.5}[/tex]
now let's take a look at the Credit Card's loan at 18% for 7 years
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$9000\\ r=rate\to 18\%\to \frac{18}{100}\dotfill &0.18\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases} \\\\\\ A=9000\left(1+\frac{0.18}{12}\right)^{12\cdot 7} \implies A \approx \boxed{31433.31}[/tex]
now, in 7 years there are 84 months, thus [tex]\cfrac{\stackrel{total}{31433.31}}{\underset{months}{84}}\approx \text{\LARGE 374.21}[/tex]
so, the Bank will give her a better deal per month, and to be honest altogether.
The plan with simple interest will give the lowest monthly repayment.
The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.
Option C is the correct answer.
What are simple interest and compound interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Compound interest is the interest that is made from the principal and the interest as well in consecutive years.
We have,
Simple interest:
Principal = $9000
Rate = 9%
Time = 3 years
Simple interest:
= P x R x T / 100
= 9000 x 9 x 3 / 100
= 2430
Amount = simles interest + principal
A = 9000 + 2430 = $11430
3 years = 36 months
Monthly payment = 11430 / 36 = $317.5
Compound interest:
Principal = $9000
Rate = 18%
Time = 7 years
A = P [tex](1 + \frac{18}{100}) ^{7}[/tex]
A = 9000 [tex](1 + 0.18) ^{7}[/tex]
A = 9000 x3.19
Amount = $28,710
7 years = 84 months
Monthly payment = 28710 / 84 = $341.78
Thus,
The plan with simple interest will give the lowest monthly repayment.
The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.
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What is the value of x
Answers
Answer: 68
Step-by-step explanation: do 75+37 which equals 112 then subtract 180 by 112 which equals 68
hope this helps
Answer:
A
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , then
x + 37° + 75° = 180° , that is
x + 112° = 180° ( subtract 112° from both sides )
x = 68°
Help? Anyone pls. I'd give brainliest
Answers
Answer:
3/2
Step-by-step explanation:
xy= -2 X -3
= 6
z = 4
so xy/z is 6/4 which is 3/2.
the sporting goods store sold 10 balls, 3 bats, and 2 bases for $99 on Monday. They sold 4 balls, 8 bats, and 2 bases for $78 on Tuesday. On Wednesday they sold 2 balls 3 bats and 1 base for 33.60. What is the cost of each individual item?
Answers
Answer:
ball: $8.00bat: $5.40base: $1.40Step-by-step explanation:
Given three relations between the costs of balls, bats, and bases, you want to find the cost of each.
10 balls + 3 bats + 2 bases = $994 balls + 8 bats + 2 bases = $782 balls + 3 bats + 1 base = $33.60SolutionSolving three linear equations in three unknowns can be accomplished easily by any number of calculators, apps, or spreadsheets. Here, we'll use an ad hoc solution.
Subtracting twice the third equation from the second, we have ...
(4 balls + 8 bats + 2 bases) -(2(2 balls + 3 bats + 1 base) = 78 -2(33.60)
2 bats = 10.80 . . . . . . . simplify
1 bat = 5.40 . . . . . . divide by 2
Subtracting the second equation from the first, we have ...
(10 balls +3 bats +2 bases) -(4 balls +8 bats +2 bases) = (99) -(78)
6 balls -5 bats = 21 . . . . . simplify
6 balls = 21 + 5(5.40) . . . . . add 5 bats and substitute their cost
6 balls = 48 . . . . . . . . simplify
1 ball = 8.00 . . . . . . . divide by 6
Using the last equation, we can find the cost of 1 base.
1 base = 33.60 -2 balls -3 bats = 33.60 -2(8.00) -3(5.40)
1 base = 1.40
The costs are ...
1 ball: $8.00
1 bat: $5.40
1 base: $1.40
can someone answer this please, thank you
Answers
Answer:
9x
Step-by-step explanation:
EF = 3x
FG is three times longer ....then FG = three * EF = 3 * 3x = 9x
A sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat. what is the percent of fat in this hamburger sample?
Answers
The percentage of fat in this hamburger sample is 15 %.
What is percentage ?Percentage is the value per hundredth.
According to the given question a sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat.
To find what percentage of the hamburger contains fat we put amount of fat in the numerator and total amount on the denominator and multiply this fraction by 100 to obtain the result in terms of percentage.
∴ (30/200) × 100
= 3000/200
= 30/2
= 15 %.
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-4/7+ 2/7x - 14x+4/7
Answers
Answer:
-96/7x or 13.714x
Step-by-step explanation:
-4/7+ 2/7x - 14x+4/7
first we do
4/7-4/7 which is zero, so we can cancel those out.
then we do
2/7x-14x ( or you can do -14x+2/7, it’s the same thing
use your calculator to make this easier. if you look you’ll be able to find a fraction button on most
after we do 2/7x-14x , we get -96/7x
if you want it in a fraction just divide and you’ll get -13.714x
The value of 5x +3=20
Answers
Answer:
x = 17/5
Step-by-step explanation:
5x + 3 = 20
5x + 3-3 = 20 - 3
5x = 17
divide both by 5
The coordinate -8 has a weight of 3 and the coordinate 4 has a weight of 1. Find the weighted average
Answers
The weighted average is -5
The formula for the weighted average is
= Σwixi/Σwi (1)
Where wi = are the weights and
xi are the coordinates
We have been given that
w1 = 3 , x1 = -8 and w2 = 1 , x2 = 4
Σwixi = w1x1 + w2x2
= 3*-8 + 1*4
= -24 + 4
= -20
Σwi = w1 + w2
= 3 + 1
= 4
Now putting the required value in equation (1) we get
Weighted average = -20/4
= -5
Hence the weighted average is -5
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what is the domain and range of this function?
y=|5x|-8
Answers
Answer:
Domain:
$%error%$
Range:
$%error%$
Explanation:
Both
x
and
y
belong to all the real numbers since there is no restriction on either the domain or the range.
Step-by-step explanation:
What’s the answer to the question attached
Answers
(a) The third term of the sequence is 19.
(b) The term-to-term rule of the new sequence is "subtract 13 and then divide by 6".
The first term is given to be -2.The term-to-term rule is to multiply by 6 and then add 13.(a) The second term is equal to (-2)*6 +13The second term equals -12 +13The second term is 1The third term equals (1)*6 +13The third term equals 6 +13The third term is 19(b) The order of the three terms of the sequence is reversed.This means the term-to-term rule will be the inverse of the current term-to-term rule.We will now first subtract 13 and then divide by 6.To learn more about sequence, visit :
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If f(x) = 4x20, what is f(4)?
Answers
Answer:
320
Step-by-step explanation:
Plug the 4 into x and go from left to right:
4 times 4 is 16 times 20 is 320
|−5| − (−9) I need help asap!!!
Answers
Answer:
14
Step-by-step explanation:
the absolute value function always gives a positive result , that is
| - a | = | a | = a
- (- ) = + given
| - 5 | - (- 9)
= 5 + 9
= 14
Answer:
14
Step-by-step explanation:
Be extremely careful with absolute values, parentheses, and subtraction.
[tex]\left|-5\right|-\left(-9\right)=\left|-5\right|+9\\\left|-5\right|+9\\\left|-5\right|=5\\5+9\\=14[/tex]
Free watermelon mint recipe
Watermelon Mint Recipe
Ingredients:
1 ½ cups fresh lemon juice
1 cup sugar
4 cups water
2 cups watermelon juice
½ cup roughly chopped mint leaves
Ice
Instructions:
Squeeze and strain lemons into a pitcher.
Stir in sugar until sugar is completely dissolved.
Add water and mint leaves and stir.
Pour in watermelon juice (if using whole watermelon, puree it first then run it through a strainer).
Garnish with lemon slices, mint leaves, or watermelon.
Drink up!
Answers
Answer:Sounds delicious
Step-by-step explanation:
Sounds nice, ill make this
cuál es el doble de 5.85
Answers
Answer:
11.7
Step-by-step explanation:
5.85 * 2 =11.7
5.85x5.85=11.7.
How long will it take you to bike 225 miles at
a
speed of 15 miles per hour?
Am I supposed to divide
Answers
Answer:
15
Step-by-step explanation:
225/15
which expressions below equal a rational number? select all that apply.
Answers
The expressions that are equal to a rational number are [(2/3)+(4/5)], [(√3) - (√3)], and [(√49)(√1)].
A rational number is one that can be stated as the ratio of two numbers, with the denominator not equal to zero.All real numbers that are not rational numbers are referred to as irrational numbers. The ratio of two integers cannot be used to express irrational values.(a) π√4π√4 is equal to 2π, which is an irrational number.(b) (2/3)+(4/5)(2/3)+(4/5) = (22/15), which is a rational number.(c) (√36)-(√5)(√36)-(√5) = 6-√5, which is an irrational number.(d) (√3)-(√3)(√3)-(√3) = 0, which is a rational number.(e) (√49)(√1)(√49)(√1) = 7*1 = 7, which is a rational number.To learn more about real numbers, visit :
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Given the check digit is 3, find the missing number X for the Mater card number 5164 2X13 2705 0183?
SHOW WORK . please help!
Answers
Answer:
9
Step-by-step explanation:
So there's 3 1's, 2 2's, 2 3's, 1 4, 2 5's, a 6, a 7, an 8, 2 0's, and no 9's.
