Answer:
\(x = 145\)
Step-by-step explanation:
1.Approach
To find the value of (x), one will have to take multiple steps. Since a straight line is (180) degrees, one can use this property. Subtract the measure of the exterior angle (the angle formed between the extension of the side of a triangle, and the side of a triangle) from (180) to find an expression to describe the measure of the angle inside the triangle.
Then one is given a regular octagon, using the sum of interior angles formula, find the measure of any interior angle. The vertical angles that when two lines intersect, the opposite angles are congruent. One can use this property to find the final unknown angle in the triangle.
It is known that the sum of angles in a triangle is (180). Use this to find the measure of (x).
2. Find the measure of two angles in the triangle
The degree measure of a straight angle is (180), therefore, when two angles form a straight line, their sum of (180). One can apply this here by stating,
\(x+(unknown)=180\)
Solve for unknown,
\(unknown = 180 - x\)
One can also state,
\(170+(unknown_2)=180\)
Solve for the unknown,
\(unknown_2=10\)
3.Find the degree measure of one of the angles in the octagon
The given octagon (eight-sided figure) is a regular octagon. By its definition, all of the sides in any regular polygon are congruent. This is indicated here, thus the octagon is a regular octagon. One property of a regular polygon is that all of the angles in the figure are cognrunet. This means that the sum of interior angles divided by the number of angles wil give one the measurement of each angle.
The formula to find the sum of interior angles in a polygon is as follows,
\(S=180(n-2)\)
Where (n) is the number of sides. Since an octagon has (8) sides substitute this number into the formula and solve for the sum of angles,
\(S=180(n-2)\\\\S=180(8-2)\)
Simplify,
\(S=180(8-2)\\\\S=180(6)\\\\S= 1080\)
Now divide by the number of angles. The number of angles in an octagon is (8). Since this is a regular octagon, all of the angles are congruent, thus dividing the sum of angles by the number of angles will give on the measure of each angle.
\(1080\) ÷ \(8 = 135\)
4. Find the measure of the final angle in the triangle
The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. Therefore, the final unknown angle in this triangle is equal to (135) degrees, because the angle opposite in the octagon is equal to (135) degrees.
5. Find the meausre of (x)
The sum of angles in any triangle is (180) degrees. Since one has found the measure or expression of the angle measure of each angle in a triangle, one can form an equation and solve for the unknown,
\((180-x)+(10)+(135)=180\)
Simplify,
\(325-x=180\)
Inverse operations,
\(325-x=180\\\\-x = -145\\\\x=145\)
complete the equation of this circle
Answer:
(x - 3)² + (y - 2)² = 16
Step-by-step explanation:
The center of the circle is (3, 2).
The radius of the circle is 4.
(x - 3)² + (y - 2)² = 4²
Answer: (x - 3)² + (y - 2)² = 16
The complete equation of this circle with center (3, 2) and radius 4 units is
(x - 3)² + (y - 2)² = 4²
Used the concept of the equation of the circle which stated that,
The standard form of the equation of a circle is,
(x - h)² + (y - k)² = r²
Where, (h, k) is the center of the circle and 'r' is the radius of the circle.
Given that,
The center of the circle is (3, 2).
And, The radius of the circle is 4.
Here, (h, k) = (3, 2)
And, r = 4
Substitute all the values in the standard form of the equation of a circle,
(x - 3)² + (y - 2)² = 4²
Therefore, the equation of a circle,
(x - 3)² + (y - 2)² = 16
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whats the answer
x-y=5
3x-2y=12
need to find the x and the y.
The values of x and y in the system of equations, x - y = 5 and 3x - 2y = 12, are: x = 2 y = -3
How to Solve a System of Equations?Given the system of equations:
x - y = 5 --> eqn. 1
3x - 2y = 12 --> eqn. 2
Rewrite equation 1:
x = 5 + y --> eqn. 3
Substitute x for 5 + y into equation 2:
3(5 + y) - 2y = 12
15 + 3y - 2y = 12
15 + y = 12
y = 12 - 15 [subtraction property]
y = -3
Substitute y = -3 into equation 3:
x = 5 + (-3)
x = 2
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The slope of the line that passes through the points (-24, m) and (12,11) is 1/12. What is the value of m?
NO LINK
Answer:
Find the Slope = y2 - y1 / x2 - x1
= 6 - 2 / 12 - -4
= 4/16
= 1/4 This is the slope, m.
2) Now, plug m and one point into: y - y1 = m (x - x1)
y - 6 = 1/4 (x - 12) Distribute the 1/4
y - 6 = 1/4 * x - 3 Solve for y
y = 1/4*x - 3 + 6
y = 1/4*x + 3
Step-by-step explanation:
brainliest please?
The value of m for a line that passes through (-24, m) and (12,11) and have a slope of 1 / 12 is 8.
What ia a slope?The slope of a line is a measure of its steepness. The slope is rise divided by the run.
Therefore,
(-24, m)(12, 11)
slope = m = 1 / 12
slope = y₂ - y₁ / x₂ - x₁
Therefore,
x₁ = -24
x₂ = 12
y₁ = m
y₂ = 11
1 / 12 = 11 - m / 12 + 24
1 / 12 = 11 - m / 36
cross multiply
36 = 12(11 - m)
36 = 132 - 12m
36 - 132 = -12m
-96 = -12m
m = 96 / 12
m = 8
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Vicky is an airline attendant. Last week, she worked on flights on 3 small jets and 5 large jets, which could seat a total of 560 passengers. The week before, she was assigned to flights on 5 small jets and 2 large jets, which could seat a total of 338 passengers. How many seats were on each type of flight?
The number of the small seats is 30 while the number of the big seats is 94.
What is the number of seats on each of the flights?We know that from the question, Vicky is an airline attendant. Last week, she worked on flights on 3 small jets and 5 large jets, which could seat a total of 560 passengers. The week before, she was assigned to flights on 5 small jets and 2 large jets, which could seat a total of 338 passengers.
Now;
Let the number of small seats be x and the number of large seats be y
It follows that;
3x + 5y = 560 ----- (1)
5x + 2y = 338 ------(2)
If you multiply (1) by 5 and (2) by 3 we have;
15x + 25y = 2800 ------ (3)
15x + 6y = 1014 -----------(4)
19 y = 1786
y = 1786/19
= 94
Substitute y = 94 into (1)
3x + 5(94) = 560
x = 560 - 5(94)/3
x = 30
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Jane needs $20 to buy her radio. She has saved $15.
What percent of the cost of the radio has she shaved
Answer:
75%
Step-by-step explanation:
So Jane needs 20$ but has 15$:
\(\frac{15}{20}\) which can also be \(\frac{3}{4}\) which is 75%
What did I do wrong so I don’t do it again on the test
Answer:
nothing
Step-by-step explanation:
all of them seem to be right. if you need practice work on alternate interior angles, exterior angles
Which of the following is an equation of a line parallel to the equation y=4x+1?
also need help with this question
Answer:
C
Step-by-step explanation:
In option c, the first block is divided into 3 pieces where 2 parts are shaded whereas the second block is divided into 6 pieces where 3 parts are shaded
For both to be equivalent, both of them should be the same
2/3 = x/6
x = 4
4 pieces should be shaded in in the second block to be equal to the first one, in the diagram only 3 parts are shaded thus the answer is c
HELP PLEASE IM STRUGGLING
Answer:
121°
Step-by-step explanation:
Since we are working with a parallelogram, A and C will have the same angle measure and B and D will as well. We can form an equation and solve for x.
9x - 5 = 10x - 19
~Add 5 to both sides
9x = 10x - 14
~Subtract 10x to both sides
-x = -14
~Divide -1 to both sides
x = 14
Find angle B with what we found for x.
9x - 5
9(14) - 5
126 - 5
121
Best of Luck!
833 ÷ 64 showing remainders
Answer:
13.015625
Step-by-step explanation:
Answer:
13 remainder 1.
I have attached the work to your question.
Please see the attachment below.
I hope this helps!
Which of the following points are in the third quadrant of the xy-plane? Check all that apply. O A. (-4,-2) O B. (6,-2) O C. (-7, 6) O 2 D. (2, 2) O E. (4,8) O F. (-2,-8)
Answer:
a and f because they are in the negative-negative quad
15 Points for these angles! Come on Fam let's do this
Answer:
d. alternate exterior angles
Step-by-step explanation:
corresponding are example 1 and 4
alternate interior for example 4 and 5
consecutive 3 and 5
A verbal description of a function is given.
Let V(d) be the volume of a sphere of diameter d. To find the volume, take the cube of the diameter, then multiply by r and divide by 6.
(a) Find an algebraic representation for the function.
V(d) =
Answer:
be the volume of a sphere of diameter d. To find the volume, take the cube of the diameter, then multiply by $$\pi$$ and divide by 6. - Slader.
Solve for x.
Urgent! I need this ASAP!
Step-by-step explanation:
Since,
x+6 is twice x-3,
x+6=2x-6
x=12.
Option c
If the fdic charges bank e 2. 4 cents per 100 dollars insured, how much must bank e pay to insure $4. 8 million in deposits? a. $1,152 b. $115,200 c. $2,112 d. $211,200 please select the best answer from the choices provided a b c d.
Bank E must pay the FDIC a fee of $115,200 to insure $4.8 million in deposits, which is calculated by multiplying the rate of 2.4 cents per $100 with the total amount of deposits.
1. Take the total amount of deposits and divide by
100 (4.8 million / 100 = 48,000)
2. Multiply by the rate of 2.4 cents
(48,000 x 0.024 = 1,152)
3. Multiply the result by 100
(1,152 x 100 = 115,200)
4. The amount Bank E must pay to the FDIC is $115,200.
Bank E must pay the FDIC a fee to insure its $4.8 million in deposits. In order to calculate the fee, you must first divide the total amount of deposits by 100 to get the number of $100 increments. You then need to multiply this number by the rate of 2.4 cents, which will give you the total fee in cents. Finally, you need to multiply the total fee in cents by 100 to get the total fee in dollars. In this case, the amount Bank E must pay to the FDIC is $115,200.
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misha increased her test score from 60% to 80%. what was the approximate percent increase of misha's test score? 66% 75%
Answer:
the approximate percent increase of Misha's test score is 33% !
Step-by-step explanation:
Answer: 33.3333%
Step-by-step explanation:
Percent Increase Formula
c = x2-x1/x1
x2- final value
x1- initial value
c= 80-60/60 = 33.3333%
{(0, 8), (1,2), (3,7), (5,9), (3,6)}
Function or not
Answer:
No
Step-by-step explanation:
The is only one output for each value
If -4/3y=-3/4, then y =?
Step-by-step explanation:
y=-3/4 ÷ -4/3
y=+9/16
Answer:
So we have this equation:
\(\frac{-4}{3y}=\frac{-3}{4}\)
We can multiply both sides by 4 and 3y:
\(\frac{-4*4*3y}{3y}=\frac{-3*4*3y}{4}\)
\(-4*4=-3*3y\)
\(-16 = -9y\)
Now we divide both sides by 9:
\(\frac{-16}{-9}=y\)
And we can remove the minus signs:
\(\frac{16}{9}=y\)
If you mean \(\frac{-4}{3}y=\frac{-3}{4}\):
\(-4y*4=-3*3\)
\(-16y = -9\)
\(y=\frac{9}{16}\)
Nick starts his homework in the car and finishes 7 problems. When he gets home, he completes another problem every minute. Write an equation for this line. *
After 20 minutes, Nick would have completed a total of 27 problems.
The equation for this situation can be expressed as:
y = mx + b
where:
y represents the total number of problems completed,
x represents the total time elapsed in minutes,
m represents the rate at which Nick completes problems, and
b represents the initial number of problems Nick already completed.
In this case, the initial number of problems completed by Nick in the car is given as 7. Therefore, the equation becomes:
y = mx + 7
Since Nick completes one problem every minute after arriving home, the rate at which he completes problems is 1 problem per minute. Hence, the equation can be further simplified to:
y = x + 7
In this equation, as time (x) increases by one minute, the number of problems completed (y) increases by one. The initial value of 7 accounts for the problems Nick finished in the car before reaching home.
This equation provides a linear relationship between the number of problems completed and the time elapsed. It allows us to calculate the number of problems Nick has completed at any given time by substituting the value of x (time) into the equation. For example, if we want to know the total number of problems Nick has completed after 20 minutes, we can substitute x = 20 into the equation:
y = 20 + 7
y = 27
Therefore, after 20 minutes, Nick would have completed a total of 27 problems.
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Mrs. Chin paid a 20 percent tip on the bill for lunch.
Total
100%
20%
$2.75
Percents
20%
$2.75
20%
$2.75
20%
20%
$2.75
$2.75
If the tip amount was $2.75, what was the bill for lunch before the tip was added to it?
0 $5.50
$13.75
O $16.50
O $55.00
Answer:$13.75
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I just took the test
a store sells boxes of chocolates. each box contains 24 chocolates. write an expression that represents the total number of chocolates in, b, boxes.
Kai's mom gave him $25 to spend at the book fair. Kai wants to buy as many books as he can. The
cost of each book is $3. He also wants to buy one poster for $2. Write an inequality to show how
many books he can buy. Highlight your inequality in green. Then,solve the inequality
Answer:
7 books
Step-by-step explanation:
i cant write it in an equaction but basically 25 - 2 = 23
then 3 x 7 = 21 so he can only buy 7 books and he'll have 2 dollars left
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2 + 5y = –20
Answer:
Submit Answer
PLS HEP ASAP
same as we did for the other question,
5y=-x-20
then divide the 5
y= (-1/5)x-4
Please help if you can.
What is the equation of the line that is parallel to the line y = 1/3x + 4 and passes through the point (6, 5)?a. y = -1/3x + 3b. y = -1/3x + 7c. y = 3x - 13d. y = 3x + 5
Answer:
B: \(y=-\frac{1}{3}x+7\)
Step-by-step explanation:
Straight lines are set out in the format of \(y = mx+c\), where \(m\) is the gradient, and \(c\) is the y-intercept.
The gradient between parallel lines remains the same, and this means the gradient of the new line will also be \(-\frac{1}{3}\).
This rules out options C and D.
Going back to the format, so far, we have filled in \(y=-\frac{1}{3}x+c\). We are still looking for the y-intercept.
We can find that using the coordinate you've been given, \((6,5)\).
This coordinate tells us that when \(x=6\), \(y=5\). Therefore we can substitute those in the places of \(x\) and \(y\) in the original equation.
This leaves us with \(5 = -\frac{1}{3}(6)+c\).
We can now rearrange for \(c\).
\(5 = -2 + c\\c=7\)
Now we have all the values we need, we can form the final equation.
\(y=-\frac{1}{3}x+7\)
This indicates the answer is option B. Hope this helps.
what is the term for the value that occurs most often in a series of numbers?
The term for the value that occurs most often in a series of numbers is called the mode.
The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.
To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.
The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.
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The number of players, P, that have participated in a local basketball league has increased over the years and can be modeled by P = 7.51x^2 - 16.4x + 35 where x is the number of years. How many players were there in 7 years (so x = 7)
Do ur work freshman kid
use pictures for the question 100 points to brainlyest
Answer:
Step-by-step explanation:
Population of X is {1, 1, 2, 2, 2, 3, 3, 3}
Based on that, X's expected value, variance and standard deviation can be calculated as follows:
Expected Value, μ = 2.125 or 2.13
Variance, σ2 = 0.609375 0r 0.61
Standard Deviation, σ = 0.78062475 or 0.78
A number is decreased by 15% and the resulting number is then increased by 20%. That final number is what percent of the original number?
Answer:
The final final number becomes 102 % of the original number
Step-by-step explanation:
Let the initial number be 100
After decreasing 15%, the new number is 100-15% of 100 = 85
The resulting number is then increased by 20%. The new number will be
85 + 20% of 85 = 85 + 17 = 102
The final final number becomes 102/100 * 100 percent of the original number
The final final number becomes 102 % of the original number
I need help with this question. PLZZ HELP!!!
Answer:
the 8 in the graph
Step-by-step explanation: