Given the equation:
20 = x - 9
Let's find the value of x.
Add 9 to both sides of the equation:
20 + 9 = x - 9 + 9
29 = x
Rewrite the equation as x = 29:
x = 29
Therefore, the value of x is 29
ANSWER:
x = 29
show full solutions.15. Name the indicated parts of this diagram.
Given:
A circle with a center at C.
Required:
We need to find the names of the given parts.
Explanation:
Recall that radius is a line segment extending from the center of a circle to the circumference.
Line segment AC extends from the center C of a circle to the circumference.
\(AC=Radius\)Recall that the arc of a circle is defined as the part of the circumference of a circle.
AE is the part of the circumference of a circle.
\(AE=Arc\)Recall that a straight line segment joins and is included between two points on a circle.
D and E are two points on a circle.
A straight line DE line segment joins and is included between two points D and E on a circle.
\(DE=Chord\)Recall that meeting a curve or surface in a single point if a sufficiently small interval is considered a straight line tangent to a curve.
AB is tangent.
\(AB=Tangent\)Recall that an inscribed angle is an angle with its vertex "on" the circle, formed by two intersecting chords.
\(\measuredangle ADE=\text{ Inscribed angle.}\)Recall that a central angle is an angle formed by two radii with the vertex at the center of the circle.
\(\measuredangle ACE=\text{ Central angle}\)Recall that an angle formed by an intersecting tangent and chord has its vertex "on" the circle.
\(\measuredangle\measuredangle CAB=\text{ Tangent Chord Angle}\)Final answer:
\(AC=Radius\)\(AE=Arc\)\(DE=Chord\)\(AB=Tangent\)\(\measuredangle ADE=\text{ Inscribed angle.}\)\(\measuredangle ACE=\text{ Central angle}\)\(\measuredangle\measuredangle CAB=\text{ Tangent Chord Angle}\)Help me poeaseeeeeeeeeeee
Answer:
C. Hope It's Help :)))))
Answer:
4.5
Step-by-step explanation:
∛100 = ?
100 = 2 x 2 x 5 x 5
∛100
= ∛ ( 2 x 2 x 5 x 5 )
= 4.642
4.642 ~ 4.5
The approximation 4.642 can also be written as 4.5
Therefore,
∛100 = 4.5
I asked my question. I can not find were you helped me answer the question
8x+7.5=3.5 What's the value of x? Please show your work. :)
Answer:
x = 0.5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form: x = -1/2
Please help quick I need it
The area of the composite figure is 122.24 units².
How to find the area of a composite figure?The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.
Hence,
area of the composite figure = area of the rectangle + 2(area of semi circle)
Therefore,
area of the composite figure = 9 × 8 + 2(1 / 2 πr²)
area of the composite figure = 72 + πr²
where
r = 8 / 2 = 4 units
Therefore,
area of the composite figure = 72 + 3.14 × 4²
area of the composite figure = 72 + 3.14 × 16
area of the composite figure = 72 + 50.24
area of the composite figure = 122.24 units²
learn more on area here: https://brainly.com/question/9720037
#SPJ1
Velida took out a 5/1 variable-rate mortgage for $150,000. The interest rate
for the first period was fixed at 5.25%, and the loan was amortized over 30
years. At the end of the initial loan period, the interest rate was 6.75%, plus a
1.5% margin. What will the unpaid balance on her mortgage be after her initial
period expires?
A. $123,740.97
B. $126,805.34
C. $122,773.09
D. $138,224.23
Answer:138.224.23
Step-by-step explanation:
Write the equation of a circle with centier (-5, -1) and a radius with endpoint (3,-2) on the circle.
The equation of the circle is (x + 5)² + (y + 1)² = 65 given that the center of the circle is (-5, -1)
Calculating the equation of the circleTo write the equation of a circle, we need to use the formula:
(x - h)² + (y - k)² = r²
where (h, k) is the center of the circle, and r is the radius.
We are given that the center of the circle is (-5, -1), so we can substitute these values into the equation:
(x - (-5))² + (y - (-1))² = r²
(x + 5)² + (y + 1)² = r²
We are also given that the endpoint (3, -2) is on the circle, so we can use this information to find the radius.
The distance between the center and the endpoint is equal to the radius, so we can use the distance formula:
r² = (x + 5)² + (y + 1)²
r² = (3 + 5)² + (-2 + 1)²
r² = 65
Now we can substitute this value of r into the equation we found earlier:
(x + 5)² + (y + 1)² = 65
Therefore, the equation of the circle is (x + 5)² + (y + 1)² = 65.
Read more about circle equation at
https://brainly.com/question/1506955
#SPJ1
What is the slope of the line?
Answer:
It could be 0, is the question multiple choice?
a horizontal line always has a slope of 0, now, for the sake of a silly proof, let's do some rigamarole to get it.
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{7 +3} \implies \cfrac{ 0 }{ 10 } \implies \stackrel{ }{\text{\LARGE 0}}\)
Use the picture below to answer questions 9-12. F D D M, M to 9. Three collinear points are: A. DEB B.FE.D С. В.Е.М D. ADF
1) Collinear points are by definition, points that belong to the same line.
So, examining the picture we can state the 3 collinear points are:
b) FED
Note that these points are in the same line "j" so we can call them collinear.
Lindsay spins a spinner once and then flips a fair coin twice. The spinner is
shown below.
What is the probability of the spinner landing on an odd number and the
coin landing on tails both times?
Answer:
The Probability Is That It Has A 50/50 Chance Of Landing On Either Side
Step-by-step explanation:
22 Students were asked to write an expression which had a leading
coefficient of 3 and a constant term of -4. Which response is correct?
(1) 3 - 2/3 - 4r
(3) 4- 7x + 3x3
(2) 7x3 - 375 - 4
(4) 49 + 32 - 4
Select the 24-hour reading that is the same as the time shown on the 12-hour clock.
Answer:
B. 1729
I searched it up
A package of 25 fishing hooks costs $9.95 , while a package with 40 hooks costs $13.99 . Which is the better buy? Round your answer to the nearest cent if necessary.
Therefore, the package with 40 hooks is the better buy in terms of cost efficiency.
To determine which package is the better buy, we need to compare the cost per hook for each package.
For the package of 25 hooks costing $9.95, we divide the total cost by the number of hooks:
Cost per hook = $9.95 / 25 = $0.398
Rounding to the nearest cent, the cost per hook is $0.40.
For the package of 40 hooks costing $13.99, we divide the total cost by the number of hooks:
Cost per hook = $13.99 / 40 = $0.3498
Rounding to the nearest cent, the cost per hook is $0.35.
Comparing the two costs per hook, we can see that the package with 40 hooks for $13.99 offers a better deal, as the cost per hook is lower at $0.35.
For such more question on package
https://brainly.com/question/12251427
#SPJ8
Find the distance using the modulus of the difference between z1 = -8 + 3i and z2 = 4 - 7i. Show all work for full credit.
a.12.6
b.10.8
c.58
d.80
Answer:
do search it in. quiznet which is my website for full process sir..
c is the correct one.;)
Step-by-step explanation:
mark as brainliiest and hope you ap appreciate it :)
make my day by making me brainliiest
Answer:
58
Step-by-step explanation:
Hope this helps
What is 12,15 in simplest form
Answer:
\(what \: is \: \frac{12}{15} \: in \: simplest \: form \\ \frac{12}{15} = \frac{4}{5} \)
Answer:
45
Step-by-step explanation:
What is 12/15 in simplest form? The simplest form of 1215 is 45. Keeping this in mind how do you reduce 12/15 as a fraction? To reduce this fraction, simply divide the numerator and denominator by 3 (the GCF). So, 1215 = 12÷315÷3 = 45. Thus, 1215 is equivalent to 45 in the reduced form.
what is the perimeter
Answer:
2(5) + 2√(3^2 + 7^2) = 10 + 2√58 = 25.2
B is the correct answer.
pls what is the nearest 100 of 49
Answer:
the nearest hundred is 50
suppose △abc≅△xyz. what is the corresponding congruent part for each segment or angle?
Answer:
Step-by-step explanation:
What is the modulus of −2 + 3?
Answer:
i think its -1⁰
Step-by-step explanation:
............
Question 2(Multiple Choice Worth 2 points)
(Slope-Intercept Form MC)
The table shown represents a linear relationship.
x 0 1 3 4
y −8 −6 −2 0
Based on the table, what is the equation of the linear relationship in slope-intercept form?
y = 2x − 8
y = 2x + 8
y = −2x + 4
y = −2x − 4
The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.
To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.
By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).
Slope (m) = (change in y) / (change in x)
= (0 - (-8)) / (4 - 0)
= 8 / 4
= 2
Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.
Using the point (0, -8):
-8 = 2(0) + b
b = -8
Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.
For such more question on equation:
https://brainly.com/question/17145398
#SPJ8
HELP PLEASE NEED IT THANKS
Answer:
<
Step-by-step explanation:
1) Substitute 5 into the question
\(\frac{4(5)}{4}\)\(2(5)-3\)2) Work out the sides
\(\frac{4(5)}{4} =5\)\(2(5)-3=7\)3) Put it into an inequality
5 < 7
Hope this helps, have a great day!
Find the area of each sector.
16) r= 16 mi, 0 = 150°
25m
3
mi²
40T
3
mi²
67 mi²
A
170065
To find the area of a sector, you can use the formula:
Area of Sector = (θ/360) * π * r^2
where θ is the central angle in degrees, r is the radius, and π is a mathematical constant approximately equal to 3.14159.
Let's calculate the areas for the given sectors:
r = 16 mi, θ = 150°
Area of Sector = (150/360) * π * (16 mi)^2
= (5/12) * π * 256 mi^2
≈ 334.930 mi^2
Therefore, the area of sector 16 is approximately 334.930 square miles.
Look at the tape diagram below for the number of boys and the number of girls in a school. Find total number of students in the school.
a school paid $31.50 for each calculator, if the school spent 504 dollars on calculators how many did the school buy?
4) Visitors to an online store can enter a special code to receive a discount. The graph shows
the original price, , and sale price, y, of some items at the store.
What does the point at (60, 55) represent?
The point at (60, 55) means that an item with
an original price of $
?
has a sale price
of $ ?
Sale Price ($)
100
90
80
Online Store Prices
70
60
50
40
30
20
10
0
0 10 20 30 40 50 60 70 80 90 100
Original Price ($)
(30, 25)
(90, 85)
(60,55)
The point at (60, 55) represents an item with an original price of $60 that is now being sold at a sale price of $55.
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
We are given that;
The point at (60, 55)
Now,
This means that customers who enter the special discount code can save $5 on this particular item.
In general, the point (x, y) on the graph represents an item with an original price of x dollars that is being sold at a sale price of y dollars. The graph is showing how the sale price of items changes as the original price increases.
Therefore, by the graph the answer will be $60 and $55.
Learn more about finding the graphed function here:
https://brainly.com/question/27330212
#SPJ1
Alan and Ben had collected 360 game cards altogether. They played three games using these cards. In the first game, Alan lost 2 /5 of his cards to Ben. In the second game, Alan won 1 /4 of Ben cards. In the last game, Alan lost 1 /6 of his cards to Ben. In the end, both boys had the same number of cards. How many game cards did each boy have at first?
Answer:
Alan had 272 cards initially and Ben had 88 cards initially.
Step-by-step explanation:
Let's start by assuming that Alan had x cards and Ben had y cards initially. We know that the sum of their cards is 360, so:
x + y = 360
In the first game, Alan lost 2/5 of his cards to Ben, so he gave away (2/5)x cards to Ben. Therefore, he was left with:
(3/5)x cards
Ben received (2/5)x cards from Alan and had y cards initially, so he had:
y + (2/5)x
cards after the first game.
In the second game, Alan won 1/4 of Ben's cards, so he received (1/4)(y + (2/5)x) cards. Therefore, he had:
(3/5)x + (1/4)(y + (2/5)x)
cards after the second game.
In the third game, Alan lost 1/6 of his cards to Ben, so he gave away (1/6)(3/5)x cards to Ben. Therefore, he was left with:
(2/3)(3/5)x = (2/5)x
cards.
Ben received (1/6)(3/5)x cards from Alan in the third game, and he had y + (2/5)x cards after the first game. Therefore, he had:
y + (2/5)x + (1/6)(3/5)x = y + (9/25)x
cards after the third game.
Since both boys ended up with the same number of cards, we can set the expressions for their final card counts equal to each other:
(3/5)x + (1/4)(y + (2/5)x) = y + (9/25)x
Multiplying both sides by 100 to get rid of the fractions, we get:
60x + 25y + 50x = 100y + 36x
Simplifying, we get:
24x = 75y
Since x + y = 360, we can use this equation to solve for one of the variables in terms of the other:
x = 360 - y
Substituting into the equation we just obtained, we get:
24(360 - y) = 75y
Simplifying, we get:
8640 - 24y = 75y
99y = 8640
y = 87.27
Since y must be a whole number (since it represents the number of cards that Ben had initially), we can round it up to 88. Substituting into the equation x + y = 360, we get:
x + 88 = 360
x = 272
Therefore, Alan had 272 cards initially and Ben had 88 cards initially.
To find the initial number of game cards Alan and Ben had, we can set up an equation and solve for a variable. The equation involves using the information about the games played and the number of cards lost and gained by Alan. The solution will give us the initial numbers of cards for both boys.
Explanation:To solve this problem, let's assume that Alan had x cards and Ben had y cards at the beginning. We are given that Alan lost 2/5 of his cards to Ben in the first game, so he had (3/5)x cards left and Ben had y + (2/5)x cards. In the second game, Alan won 1/4 of Ben's cards, so he gained (1/4)(y + (2/5)x) cards, leaving him with (3/5)x + (1/4)(y + (2/5)x) cards. In the last game, Alan lost 1/6 of his cards to Ben, so he had (5/6)((3/5)x + (1/4)(y + (2/5)x)) cards left. Since both boys had the same number of cards in the end, we can set up the equation: (5/6)((3/5)x + (1/4)(y + (2/5)x)) = y + (2/5)x. After simplifying and solving for y in terms of x, we can substitute back into the equation to find the value of x.
Learn more about Game cards here:https://brainly.com/question/32469358
#SPJ11
solve for linear inequality of x - 1 ≥ 4 + x
\(\huge\bf{ANSWER:}\)
\(\huge\mathrm{No\:solution.}\checkmark\)
\(\huge\bf{SOLUTION}:\)
Hey there, hope you are having a wonderful day! :)
Let's solve this inequality.
First of all, let's move all the numbers to the right, using the \(\bf{\underline{opposite\:\:operation\:}\):
\(\longmapsto\)\(\sf{x-1\geq 4+x\)
\(\longmapsto\sf{x\geq 4+x+1\)
\(\longmapsto\sf{x\geq x+5\)
Now, let's move the variables to the left:
\(\longmapsto\sf{x-x\geq 5\)
\(\longmapsto\sf{0\geq 5\)
Now, as you can see, we ended up with a false statement. 0 is NOT greater than 5.
Thus, there are no values of x that make the inequality true, and the inequality has
\(\bold{No\:solutions.}\)
Hope you find it helpful.
Feel free to ask if you have any doubts.
\(\bf{-MistySparkles^**^*\)
using the data on this scatter plot
Answer:
\( - 8(45) + 482 = - 360 + 482 = 122\)
NO LINKS!!! Fill in the blanks of this sheet. Part 1
Problem 1
Answer:
The square root of the expression of the difference of x^2 and 11.The quotient of 2 times a number and -1The sum of the square root of two times a number and 11.------------
Explanation:
The term "difference" is the result of subtraction. We're subtracting the x^2 and 11. Then applying the square root to the result.
Question 2 has the blanks filled correctly.
For the last sentence, we have a sum of the terms \(\sqrt{2x}\) and 11.
===========================================================
Problem 2
Answer:
The value of an algebraic expression depends on its variables
Substitute the known value for each variable.Simplify using the order of operations Use the work to answer any word problems related to the expression.------------
Explanation:
The variables are placeholders for numbers
So for instance, saying x+5 is like saying "some unknown number plus 5".
We could replace it with something like x = 10 to get x+5 = 10+5 = 15
Once the variable is replaced, you use the order of operations PEMDAS (some books refer to it as BODMAS).
Alan invests $2500 in two different accounts. The first account paid 9 %, the second account paid 8 % in
interest. At the end of the first year he had earned $215 in interest. How much was in each account?
$
at 9%
$
at 8 %
Answer:
I think its at 8%
Step-by-step explanation: