The correct value of x = 23.
Each interior angle of an n-sided regular polygon is given by 180 (n-2)/n degrees.
Given that:
n = 9
Therefore, each interior angle＝180 x (9-2)/9 degrees
Each interior angle = 180 x 7/9
Each interior angle = 140°
Each internal angle of a regular polygon having 9 sides is 140°.
Also, given that:
A 9-sided regular polygon with one angle equals 7x-21.
For the polygon to be a 9-sided regular polygon, the angles must equal 140°.
Checking the value of x from the given option which one satisfies the value of interior angle = 140°.
Option 1, x= 17
=> 7 x 17 - 21 = 98° which is wrong.
Option 2, x= 23
=> 7 x 23 - 21 = 161-21 = 140° which is correct.
Option 3, x= 29
=> 7 x 29 - 21 = 203-21 = 182° which is wrong.
Option 4, x= 140
=> 7 x 140 - 21 = 980- 21 = 959° which is wrong.
Only, the value of x = 23 satisfies the value of a 9-sided regular polygon with one angle equal to 7x-21.
Hence, the correct value of x = 23
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Answer:
The correct value of x = 23.
Step-by-step explanation:
The owner of Trixie's Sweets and Treats, a large candy store, wants to order a new sign to be displayed above the storefront. The sign will be in the shape of the store's logo: an isosceles triangle with a height that's double the length of its base. So that the sign is big enough to see from the street, the owner decides that the area of the sign should be approximately 200 square feet
The equation that could be used to find the length of the sign's base is 200 = 1*b(2b)/2 and the length of the sign's base is 10√2 feet..
According to the question,
We have the following information:
The sign will be in the shape of the store's logo: an isosceles triangle with a height that's double the length of its base.
Area of the sign is approximately 200 square feet.
Let's take the base of the triangle to be b feet.
Height of triangle = 2b
Now, we know that the following formula is used to find the area of triangle:
Area = 1/2 * base*height
200 = b*(2b)/2
[tex]2b^{2} /2 = 200[/tex]
[tex]b^{2} = 200\\[/tex]
b = 10√2 feet
Hence, the equation that could be used to find the length of the sign's base is 200 = 1*b(2b)/2 and the length of the sign's base is 10√2 feet.
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please help me ill give brainiest
It is proved that ∠ADB ≅ ∠ADC using the SSS property of a triangle.
What are congruent triangles?The size of the sides and angles determines whether two or more triangles are congruent. The three sides and three angles of a triangle define its size and shape, accordingly. Two triangles are said to be congruent if their respective side and angle pairs are the same. They are identical in terms of both dimensions shape and size.
Given AB = AC
∠1 = ∠2
Consider, triangke BDC
If two angles are equal then their opposite sides are equal. Therefore,
BD = DC
Now consider triangles ADB and ADC
AB = AC (given)
AD = AD ( common)
DB = DC (sides of an isosceles triangle)
So, ΔADB≅ΔADC [SSS property]
Now, we can write ∠ADB ≅ ∠ADC.
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which of the following is not implied when average inventory is q/2, where q is the order quantity? the previous order quantity is entirely depleted when the next order arrives. backorders are permitted an order quantity is depleted at a uniform rate over time. an entire order quantity arrives at one time.
The option that is not implied when average inventory is q/2, where q is the order quantity is; B: backorders are permitted
How to Interpret Average Inventory?Average inventory is defined as a calculation of inventory items that are averaged over two or more accounting periods. To get the calculation of the average inventory over a year, what we will do is to add the inventory counts at the end of each month and then divide it by the number of months.
Now, inventory is usually held against uncertain usage so that a supply of items is available if needed. Thus, The maximum inventory with backorders is calculated as Q - S
where;
S is size of the reorder point
Q is the quantity of order
Looking at the given options, the one that does not imply average inventory is q/2 is option B
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5 friend pay £18 each for hall practice how much would 15 friend pay with invere proportion
15 friends pay £6 each for hall practice with inverse proportion
Friends = 5
Each pays = £18
Total payments = 5*18
= 90
Friends = 15
Each pays = 90/15
= 6
Hence, 15 friends pay £6 each for hall practice with inverse proportion.
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A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3100 seats. The students filled 1178 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer:
38%
Step-by-step explanation:
[tex]\frac{1178}{3100}[/tex] x 100
from a collection of 50 store customers, 3 are to be chosen to receive a special gift. how many groups of 3 customers are possible?
The combination of number of ways of groups of 3 customers are 19600 .
What is permutation and combination?
Combination and permutation are two alternative strategies to divide up a collection of elements into subsets in mathematics. The components of the subset may be arranged in any order when combined.The subset's components are listed in a permutation in a certain order.The number of store customer is N = 50
The number of customer that receive a special gift is r = 3
The expression for the number of possible ways to choose 3 customers is
= ⁿCr
= ⁵⁰C₃
= 50 * 49 * 48/3 * 2 * 1
= 19600
Thus, the number of ways of groups of 3 customers are 19600.
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0.95 x 0.22 help pls??
I need this asap please 30 points + brainliest if its correct
The amusement park is offering tickets to a summer concert series. If you buy tickets to the first show for $25.00, then the tickets for each remaining concert are only $15.00 each. Tayah has $115.00 she can spend on tickets for the summer concert series.
Which inequality represents the the maximum number of concert tickets Tayah can buy for the reduced price of $15.00?
Answer: 25 + 15x
x = 6 tickets.
Step-by-step explanation:
First of all, we need to write an equation.
The equation will be x = $25 + $15x.
Now, we need to use trial and error. I'm going to try plugging in 9 into X because I know that 10 would be too big.
25 + 15(9)
25 + 135
160
This does not work.
Now, I'm going to try 7, because 9 was very far off.
25 + 15(7)
25 + 105
130.
It still doesn't work.
Finally, I'm going to try 6.
25 + 15(6)
25 + 90
115.
Select the values that make the inequality k ≤ 6 true.
(Numbers written in order from least to greatest going across.)
The values that make the given inequality true are -2, 1, 3, 5, 5.9, 5.99, 5.999, and 6.
We are given an inequality. The inequality is k ≤ 6. We are also given several values for the variable "k". We need to select the values that satisfy the inequality and make the inequality true. The values given to us are -2, 1, 3, 5, 5.9, 5.99, 5.999, 6, 6.001, 6.01, 6.1, 7, 9, 11, and 14. According to the given inequality, the values that are less than or equal to six will satisfy the inequality, and other values will not hold true. The values smaller than or equal to six are -2, 1, 3, 5, 5.9, 5.99, 5.999, and 6. Hence, the values that make the given inequality true are -2, 1, 3, 5, 5.9, 5.99, 5.999, and 6.
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Given the following exponential function, identify whether the change repreent growth or decay, and determine the percentage rate of increae or decreae y=210(1. 092)^x
The exponential function indicated will increase by 9.2%.
Given that,
y = 210(1. 092)^x
To find,
Determine the change's percentage rate of rise or reduction and decide if it shows growth or decay.
We have,
y = 210(1. 092)^x
Since the growth factor exceeds 1, the equation reflects exponential growth.
The general form equation is:
y(x)= a(1-r)^x such that r represents the growth rate.
1+r =1. 092
r = 0. 092= 9.2%
As a result, the exponential function will grow by 9.2%.
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here I need it asap.....................
Answer: it's 72 (B)
Step-by-step explanation: that's what I put. It was correct
Nguyen needs bags of stones to put in his garden. He has
390 square feet to cover in his garden. He paid $95.26 for all the bags
he needed to cover the garden. If he paid $4.33 for each bag of
stones, how many bags did he purchase?
label optional
22
How many square feet of the garden did each bag cover? Round your
answer to the thousandths.
Yes the acceptable move that proves the two equation are equivalent.
What is equivalent equation?
Equivalent equation are algebraic equations that have identical solutions or roots. Adding or substracting the same number or expression to both side of an equation produce an equivalent equation.
Sol-
By observing both equation.
In equation A : -3(x+9)=18
Divide the equation A by -3
=> (x+9)=-6
And this result equals to equation B
Hence both equation are equivalent
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Which of the following represents the solution to 2x + 7 = 15?
Answer:
Step-by-step explanation:
x=4
15-7=8
8/2=4
Answer: 2(4) + 7 = 15
Step-by-step explanation:
2 + 7 only equals 9
2 * 4 = 8
8 + 7 = 15
So x would be 4
What is an equation of the line that passes through the points (-3, -5) and (-2, -4)?
Answer:
Step-by-step explanation:
[tex]y=mx+b\\m=\frac{y_2-y_1}{x_2-x_1}\\(x_1,y_1)=(-3,-5)\\(x_2,y_2)=(-2,-4)\\m=\frac{-4-(-5)}{-2-(-3)}\\m=\frac{-4+5}{-2+3}\\m=\frac{1}{1}\\m=1\\\\y=mx+b\\(-5)=(1)(-3)+b\\b=-2\\\\y=x-2[/tex]
Write an equivalent equation using the Subtraction Property of Equality
9y = 4y + 10
(explain how to do this to)
The Equivalent equation using the Subtraction Property of Equality is y = 2.
what is Subtraction Property of Equality?According to the Subtraction Property of Equality, if two equal items have an equal value subtracted from them or deleted, the result is a new equal amount. When two equivalent sides of a mathematical statement are separated by an equal sign, an equation is being expressed. The subtraction property is expressed as follows: If a = b, then a - c = b - c.In order to balance an equation, one must apply the same mathematical operation on both sides, which is known as the subtraction property of equality.If we have an expression as ( a + b ) = c
Then as per subtraction property of equality [ (a + b ) - b = c - b ]
Here given 9y = 4y + 10
Simplifying this equation, we get
⇒9y - 4y = 10
⇒( 9 - 4 )y = 10
⇒5y = 10
therefore, y = ( 10 ÷ 5 )
⇒y = 2
Therefore the equivalent equation is y = 2.
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Abram is an investor. The table summarizes Abram's trades in a year.
Price per Share
($)
90
70
50
75
Date
Details
starting value ($900)
bought stock
bought stock
1-1-16
3-11-16
5-10-16
12-30-16 sold stock
Number of Shares
10
5
15
30
Compute and compare Abram's fees to trade with Stocks & More and with Trading Station for the year.
Type the correct answer in each box. Use numerals instead of words.
Abram's total fees for the year if he trades with Stocks & More are $
deducting all fees, but before he pays taxes on his gain, is $
Abram's total fees for the year if he trades with Trading Station are $
deducting all fees, but before he pays taxes on his gain, is $
His final return for the year after
His final return for the year after
DIUTZEN
Sign out
Nov 8
5:32 O
Answer:
Okay so for the first box the answer is, 116.85.
The second box is, 2,133.15
For the third box, 141
And the fourth and final box is, 2,109
Step-by-step explanation:
I really hope this helps!!
If triangle RST is an equilateral triangle, what is the measure of angle STR
The measure of the angle STR is ∠STR = 60°.
What is an equilateral triangle?
An equilateral triangle is a triangle with the same length on all three sides. An equilateral triangle is also equiangular in Euclidean geometry; that is, all three internal angles are congruent to each other and are each 60°.
Given data:
The given triangle RST is an equilateral triangle and we have to find out the measure of angle STR.
As the property of an equilateral triangle says that "All three internal angles are congruent to each other and are each 60°."
So we can say that the measure of the angle STR = 60°.
∠STR = 60°.
Hence, the measure of the angle STR is ∠STR = 60°.
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This image will be used for Part D. Question: Use the constraints of the real-world situation to predict the height of the baseball at 20 seconds. Select all that apply.
Options:
1. The height of the ball would be zero at 20 seconds.
2. The ball will be on the ground and 20 seconds.
3. The ball would bounce and go back to a height of 50 feet.
4. g(x) = 0.
5. there is not enough information to answer this question.
Tell me all the options like this: Option 1,2,4.
Step-by-step explanation:
the correct answer IS options 1, 2, 4.
the curve shows us that the ball hits the ground (height 0) at 12 seconds and then stays there.
so, at 20 seconds the height is 0, as the ball is on the ground, and so the functional result g(x) = 0.
actually that is g(20) = 0.
as g(x) gives us the height of the ball x seconds after throwing it out of the window.
although I have to say : the graph does not show us the situation at 20 seconds (it ends at 16 seconds). maybe somebody picks it up (so, it would move up again). we don't know.
so, there is some point for option 5.
but normally, we can say 1, 2, 4 are correct.
option 3 is definitely out, because the ball would not suddenly, after 8 seconds (from 12 to 20 seconds) flat on the ground, start bouncing again.
68% of a field has been harvested, 5,4 hectares remain.
HELP!
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
008
Clear all
Enter the correct answer.
+?
DONE
Answer:
y = 1/2x + 4
Step-by-step explanation:
slope-intercept form is: y = mx + b
- x and y are coordinates; if you plug the coordinates into your equation, you should receive a solution.
- m is the slope itself. this can be figured out by calculating the rise/run. look at the point (0,4). the line goes up by one, and right by two. therefore, the slope is 1/2. the line is also going up, so therefore it is a positively sloped line.
- b is the y-intercept, or where the line crosses the y-axis. in this specific example, the line crosses the y-axis at the point (0,4), and therefore the b would be + 4.
so when you put everything together and plug the m and the b into the slope formula, you get y = 1/2x + 4.
hope this helped!<3
Pls someone help with calculations work out!
Answer:
1. [tex]3^{2} + 4^{2} = 9 + 16 = 25[/tex]
2. [tex]10^{2} + 8^{2} = 100 + 64 = 164[/tex]
3. [tex]13^{2} + 10^2=169+100=269[/tex]
4. [tex]20^2+5^2=400+25=425[/tex]
5. [tex]15^2-9^2=225-81=144[/tex]
6. [tex]17^2-10^2=289-100=189[/tex]
7. [tex]18^2-14^2=324-196=128[/tex]
8. [tex]20^2-12^2=400-144=256[/tex]
if the scale factor of figure A to figure b is 4:5 find the value of x
Answer:
The value of x if the scale factor of figure A to figure B is 4:5 is; x = 12
We are given the scale factor of figure A to figure B as 4:5.
By use of similar triangles theorem, we can deduce that the ratio of corresponding sides of figure A to corresponding sides of figure B must be equal to 4:5.
Now, looking at both triangles, we can say that;
x:15 = 4:5
Thus,we can write in fraction as;
x/15 = 4/5
x = 15 × 4/5
x = 12
In conclusion, the value of x from the given proportion between both triangles is 12.
1575 to the nearest 10
⇒ Rounding off to the nearest 10 we look at the unit
⇒ for 0-4 we round down, and for 5-9 we round up.
⇒In this case the unit is 5, this means we will round up, the number in the tenth place will be affected.
∴ The answer is 1580
⇒Note 7 was rounded up to 8 due to the 5 in the unit place.
Choose the correct reason to justify each of the first four statements in the derivation. 1) a2 = h2 x2
The Pythagorean Theorem could be represented mathematically as follows, Here, c represents the length of the hypotenuse (the longest side), or b or a are the lengths of the other 2 sides. From the equation, you can easily find the value of the 1 side if you have the values of the other 2
1) a2 = h2 + x2
Pythagorean theorem
2) h2 = a2 - x2
Rearrange the previous statement
3) c2 = h2 + (b-x)2
Pythagorean theorem
4) c2 = h2 + b2 -2bx + x2
Expand (b – x)2
What made Pythagoras think of the Pythagorean theorem?
The number 1 : the number of reason.
The number 2: the first even and female number, the number of opinion.
The number 3: the first true male number, the number of harmony.
The number 4: the number of justice or retribution.
The number 5: marriage.
The number 6: creation
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Mei got scores of 76, 80, and 78 on her last three history exams. Write an inequality to determine the score, x, she needs on the next exam so that her average is at least 82.
The required inequality is x ≥ 94.
What is average?
The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.
Add the scores with x and equate them to (82 times 4) as shown:
76 + 80 + 78 + x = (82 times 4)
234 + x = 328
Find x
x = 94
She needs x on the next exam so that her average is at least 82.
So, inequality is x ≥ 94.
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Class 10R sat a test
The mean mark for the class was 70%.
There are 30 students in class 10R, 20 of whom are boys.
The mean mark for the boys is 62%.
Work out the percentage for the girls
Answer:
86%
Step-by-step explanation:
You want the girls' average if the 20 boys in the 30-student class had an average of 62%, and the class average was 70%.
Weighted averageThe class average is the weighted average of the boys' score and the girls' score. The weights are the fraction of students of each gender.
class average = (1/3)(girls' average) +(2/3)(boys' average)
Girls' averageSolving this equation for the girls' average, we get ...
(1/3)(girls' average) = (class average) -(2/3)(boys' average)
girls' average = 3(class average) -2(boys' average)
girls' average = 3(70%) -2(62%) = 210% -124%
girls' average = 86%
__
Alternate solution
The sum of differences from the class average must be zero. The boys' average is 8 points below the class average, and there are 2 times as many boys as girls. Thus, compared to the girls, the boys contribute a total of 2·8 = 16 points below the class average. The girls must counter by having an average 16 points above the class average: 70+16 = 86.
the dashed line triangle is a dilation image of the solid lined triangle is the dilation an enlargement or a reduction? what is the scale factor of the dilation?
A. reduction; 1/4
B. Enlargement; 2
C. reduction; 1/2
D. reduction; 2
The dilation of the solid lined triangle is a reduction and the scale factor of the dilation is 1/2. Therefore, the correct answer option is: C. reduction; 1/2.
The rules for the dilation of a geometric figure.In Mathematics, the rules listed below should be applied in order to interpret and understand the dilation of a geometric figure:
A geometric figure is enlarged when the scale factor is greater than 1.A geometric figure is reduced when the scale factor is less than 1.A geometric figure remains the same when the scale factor is equal to 1.In this scenario, the dashed line triangle and solid lined triangle are similar based on the Angle Angle Angle (AAA) similarity property. Therefore, we have the following:
Scale factor = Dimension of image/Dimension of original figure
Scale factor = 6/12
Scale factor = 1/2.
Scale factor = Dimension of image/Dimension of original figure
Scale factor = 4/8
Scale factor = 1/2.
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Find the slope of a line
that is PARALLEL
to
v=1/x-7
y
Answer:
x4.2
Step-by-step explanation:
ZA and B are supplementary angles. If mA (x - 9)° and
m/B= (7x + 21)°, then find the measure of ZB.
The measurement of ∠B is 168°
Given,
In the question:
Angle A and Angle B are supplementary angles.
If mA (x - 9)° and m/B= (7x + 21)°
To find the measure of ∠B
Now, According to the question;
What are supplementary angles?
Two angles are Supplementary when they add up to 180 degrees.
Now, ∠A+∠B = 180°
So,
⇒(x - 9)˚+(7x + 21)°=180°
=> 8x +12 = 180°
=> 8x = 180° - 12
=> 8x = 168
=> x = 168/8
=> x = 21
For the measure of ∠B :
∠B = (7x + 21)
∠B = 7 x 21 + 21
∠B = 168°
Hence, The measurement of ∠B is 168°
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Assessment Analytics
Math
Recommendations
G.16 Add, subtract, multiply, and divide fractions and mixed numbers: word problems KR7
Skill plans
Learn with an example ✓ or Watch a video >
Last week, Becky spent 1 1/2 hours watching television. Monica watched television for 1/2 as
many hours as Becky did. How many hours did Monica spend watching television?
Write your answer as a fraction or as a whole or mixed number.
Number of hours spent by Monica on TV is 45 minutes , the time spent by Becky is in mixed fraction.
What is mixed fraction?
A mixed fraction is one that has each its quotient and remainder delineated.
Main Body:
Number of hours spent by Becky on TV = 1 1/2 hours
This is a mixed fraction.
Converting into decimal form,
1 1/2 can be written as 1.5 hours
Converting hours into minutes ,
⇒1.5 * 60 = 90 minutes
Time spent by Monica = (1/2)* Becky's time
⇒Time spent by Monica = (1/2)*90
⇒ 45 minutes
Hence time spent by Monica is 45 minutes.
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