An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices.
What is meant by angles?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. It is referred to as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves.Angle can also refer to the length of a rotation or an angle. This metric represents the relationship between a circular arc's length and radius.The arc is centered at the vertex and defined by the sides in the case of a geometric angle. When there is a rotation, the arc is defined by any other point and the rotation's image, and it is centered at the rotation's center.10. In the given figure,
l ║m
(3x - 29)° + (8y + 17)° = 180° [Because they are linear pairs]
⇒ 3x -29 + 8y + 17 = 180
⇒ 3x + 8y - 12 = 180
⇒ 3x + 8y = 192 ............ (1)
Now,
8y + 17 = 6x -7 [Alternate interior angles]
⇒ 6x - 8y = 24 ..............(2)
On adding (1) and (2),
(3x + 8y) + (6x - 8y) = 192 + 24
simplifying the above equation, we get
⇒9x = 216
⇒ x = 216/9 = 24
⇒ x = 24
Now, 6x - 8y = 24
⇒ 8y = 6(24) - 24
⇒ y = (144 - 24)/8
⇒ y = 120/8 = 15
So, x = 24 and y = 15
11. In this given figure,
l ║m
7x - 23 = 49 + 3x ...... (Alternate interior angles)
⇒ 7x - 3x = 49+23
⇒ 4x = 72
⇒ x = 18
11y -1 = 3x [Alternate exterior angles]
⇒ 11y - 1 = 3 x 18
⇒ 11y = 54 + 1
⇒ 11y = 55
⇒ y = 5
Therefore, the value of x = 18 and y = 5
12. 11. In this given figure,
l ║m
3x - 4 = 5x - 38 [Alternate interior angles]
⇒ 5x - 3x = 38 - 4
⇒ 2x = 34
⇒ x = 17
7y - 20 + 5x - 38 + 90° = 180° [Angle sum property of a triangle]
⇒ 7y - 20 + 85 - 38 + 90 = 180
⇒ 7y + 117 = 180
simplifying the above equation, we get
⇒ 7y = 180 - 117
⇒ 7y = 63
⇒ y = 63/7 = 9
Therefore, the value of x = 17 and y = 9
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Find the surface area of the rectangular prism
Answer:
48
Step-by-step explanation:
Five less than the quotient of eighteen and a number n in algebraic expression
The provided sentence "Five less than the quotient of eighteen" is converted into an algebraic expression as 18/x - 5.
What is defined as the algebraic expression?Algebraic expressions are mathematical statements that result from operations on variables and constants including such addition, subtraction, multiplication, and division. We simply combine like terms to explain an algebraic expression. As a result, similar variables will be combined. A same powers will now be combined from the like variables.Five less than the quotient of eighteen and a number
We must convert the provided sentence into an algebraic expression.
Let "x" represent the number.
Therefore,
Five less than that of the quotient of eighteen and "x"
The term quotient refers to the outcome of division.
Therefore,
18/x - 5
That is, Five less than the quotient of eighteen and x.
As a result, the provided sentence is converted into an algebraic expression.
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please help me I need this for my algebra test and I don’t understand it
Answer: Question E: The answer is that A(9) is greater.
Step-by-step explanation:
For questions A and C, you can see that the table is exponentially growing. So the equation will use multiplication. You can also see the value of the equation is growing by x2.
So you could say the table starts at a base of 1/2, then grows exponentially at a rate of 2. (Basically saying the value grows x2 per term). The equation will result in y= 1/2(2)^x
For questions B and D, you can see that the graph is growing linearly. So the equation will use multiplication.
By drawing a line between the lines you can easily see the growth of the triangle. You can then tell the 0th term to 1st term goes right 1 and up 10.
Next, you look at the 1st term to the 2nd term. You can tell that it goes right 1 and up 10. So, the rate is 10 per term. (10x) and it starts at 2 (+2). The equation will result in y=10x+2
Question E, solve each equation by substituting the x by 9.
A(9)
y= 1/2(2)^x
y= 1/2(2)^9
y= 1/2(512)
y=256
B(9)
y=10x+2
y= 10(9) +2
y= 90+2
y=92
The answer is that A(9) is greater.
can you help me solve me this math problems?
1. 200 - 7/21
2. 50 - 4/7
3. 24 1/4 - 20 3/5
4. 10 5/8 - 6 4/9
5. 6 1/2 - 5 3/4
Step-by-step explanation:
1.
200 - 7/21 = (200×21 - 7)/21 = (4200 - 7)/21 =
= 4193/21 = 599/3 = (199×3 + 2)/3 =
= 199 2/3
we could have seen that 7/21 = 1/3.
so, then this problem was
200 - 1/3 = (200×3 - 1)/3 = 599/3 = 199 2/3
(see above)
2.
50 - 4/7 = (50×7 - 4)/7 = (350 - 4)/7 =
= 346/7 = (49×7 + 3)/7 = 49 3/7
3.
24 1/4 - 20 3/5 = (24×4 + 1)/4 - (20×5 + 3)/5 =
= 97/4 - 103/5
to calculate this we need to bring both fractions to the save denominator. the LCM (lowest common multiple) of 4 and 5 is 20.
so,
97/4 - 103/5 = (97×5)/(4×5) - (103×4)/(5×4) =
= 485/20 - 412/20 = 73/20 =
= (3×20 + 13)/20 = 3 13/20
4.
10 5/8 - 6 4/9 = (10×8 + 5)/8 - (6×9 + 4)/9 =
= 85/8 - 58/9
the LCM of 8 and 9 is 72.
85/8 - 58/9 = (85×9)/(8×9) - (58×8)/(9×8) =
= 765/72 - 464/72 = 301/72 =
= (4×72 + 13)/72 = 4 13/72
5.
6 1/2 - 5 3/4 = (6×2 + 1)/2 - (5×4 + 3)/4 =
= 13/2 - 23/4
the LCM of 2 and 4 is 4.
13/2 - 23/4 = (13×2)/(2×2) - 23/4 =
= 26/4 - 23/4 = 3/4
Question 4 (1 point)
THIS RELATION IS A FUNCTION:
(1,-2), (1,1), (1,6),(1,11)
O True
O False
Answer: False
Step-by-step explanation:
The x-value of 1 maps onto 4 different y values.
find the 6th term of the sequence 4, 6, 9,...
Answer:
30.375
Step-by-step explanation:
this is a geometric sequence, meaning it has a common growth factor
to find the growth factor, you divide a term by the previous term (example: 9/6)
so for this problem:
9/6 = 1.5
6/4 = 1.5
so 1.5 is the common growth factor
then you just multiply so:
9 • 1.5 = 13.5
13.5 • 1.5 = 20.25
20.25 • 1.5 = 30.375
4, 6, 9, 13.5, 20.25, and 30.375
so 30.375 is your 6th term
hope this helps :)
PLEASE HELP! When you set up your 6-feet-tall beach umbrella this morning, it cast an 8 foot shadow on the sand. How long is the shadow of your little sandcastle, which is proudly standing at 1.5 feet tall?
(Please answer in terms of feet)
Answer:
2 feet
Step-by-step explanation:
Answer:
3.5
Step-by-step explanation:
6 plus 2 equals 8 and if you add 2 to 1.5 you get3.5
For the following system, use the second equation to make a substitution for y in the first equation.2x + y = 6y = 3x + 4What is the resulting equation?y + 2x + y = 62x + y + 3x + 4 = 62x + (3x + 4) = 6
Given:-
[tex]\begin{gathered} 2x+y=6 \\ y=3x+4 \end{gathered}[/tex]To find the resultant value of the sum of the equation.
A 12-ounce can of soda contains 14 grams of sugar. How many grams of sugar are in 1 ounce of soda?
Write the answer as an improper fraction (fraction greater than one) in lowest terms.
[tex]1 \frac{1 \\ }{6} [/tex]
There are 1.17 grams of sugar are in 1 ounce of soda.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
A 12-ounce can of soda contains 14 grams of sugar.
Now,
Since, A 12-ounce can of soda contains 14 grams of sugar.
Hence, The amount of soda for 1 ounce of can = 14/12
= 1.17 grams
Thus, There are 1.17 grams of sugar are in 1 ounce of soda.
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How many centimeters are there in 12 yards?
O 10.9728 cm
O 36 cm
O 91.44 cm
O 1097.28 cm
Answer:
Answer is 1097.28 cm
Step-by-step explanation:
prove me wrong
Answer:
1097.28
Step-by-step explanation:
There are 91.44 centimeters per yard
12 x 91.44
Find the area of a circle with a radius of 9 inches. Use 3.14 for n. Hint: A = nr2 9 in. Area = [?] square inches Enter the number that goes in the green box. Do not round your answer.
Answer:
56,52
Step-by-step explanation:
take n as 3.14 multiples with 9 and multiples with 2
Please help with these two
Question 2a
[tex]x+6+x+3=17 \\ \\ 2x+9=17 \\ \\ 2x=8 \\ \\ x=4[/tex]
Question 3a
[tex]1+2x+31=x+20 \\ \\ 2x+32=x+20 \\ \\ x+32=20 \\ \\ x=-12[/tex]
HELP ASAP HAS TO BE DONE BY TONIGHT
Answer:
first drop down is, doesn't matter. Second one is, must be the negative reciprocal of the slope of the original line. Third is, must be different from the y intercept of the original line. If the y intercepts are the same, the two lines will intersect as proven by one of the questions asked by the user.
Step-by-step explanation:
Hope this helps! :)
Simplify.
3c + 6d + 3d = ?
Answer 3c+9d
Step-by-step explanation: add 3c 9d
Write square root 3 times square root 6 in the form b square root 2 where b is an integer
Answer:
3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then
[tex]\sqrt{3}[/tex] × [tex]\sqrt{6}[/tex]
= [tex]\sqrt{3(6)}[/tex]
= [tex]\sqrt{18}[/tex]
= [tex]\sqrt{9(2)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex]
= 3[tex]\sqrt{2}[/tex]
are the angles on, inside, or outside the circle
nswer
First image
Angle ABC covers around the inside and outside of the circle.
Second image
Angle x l
hird image
Angle DBE l
ngle of arc DE l
ngle of arc AC l
ourth angle
ll the angles at U lie inside the circle.
ngle 78° l
ngle 114° l
ope this Helps!!!
Write an expression for the area of this rectangle. Expand your expression so that your answer does not contain brackets.
Answer:
area= l x b
area= (6-d)3
area= 18-3d
Pls mark as brainliest
4. Joe Shmoe is guaranteed a minimum of $450 salary plus 3.75% of his
total sales. What are his total sales for a week in which his gross pay was
$650?
Answer:
the total sales are 361 sales a week i did this i got a 100
find the derivative of the function
f(x) = √2^3 + ln(x^3) - 2x^3 - log_3(729) - 2/x^4
Applying the rules for the constant, logarithm and exponents, the derivative of the given function is of:
f'(x) = 3/x - 6x² - 8/(x^5).
What is the derivative of the function?The function is given by:
f(x) = √2^3 + ln(x^3) - 2x^3 - log_3(729) - 2/x^4
The derivative of a sum is the sum of the derivatives, hence:
f'(x) = (√2^3)' + (ln(x^3))' - (2x^3)' - (log_3(729))' - (2/x^4)'
The derivative of a constant is of zero, hence:
(√2^3)' = 0.(log_3(729))' = 0.Hence:
f'(x) = (ln(x^3))' - (2x^3)' - (2/x^4)'.
The derivative of the logarithm is given by:
ln(h(x))' = (1/h(x)) x h'(x).
Hence:
(ln(x^3))' = 3x²/x³ = 3/x.
The derivative of the power of x is given by:
[x^n]' = nx^(n-1).
Hence:
(2x³)' = 6x². (2/x^4)' = (2x^(-4))' = -8x^(-5) = -8/(x^5).Hence the derivative of the function is given by:
f'(x) = 3/x - 6x² - 8/(x^5).
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The cost of a T-shirt is $15.95. Monica has a $5-off coupon that can be used for one T-shirt only. Write an algebraic expression for the cost of t T-shirts, not including sales tax.
The algebraic expression for the cost of t T-shirts, not including sales tax is 15.95t - 5.
Given that:-
Cost of a T-shirt = $ 15.95
Discount on coupon = $ 5 (can be used for one T-shirt only)
We have to write an algebraic expression for the cost of t T-shirts, not including sales tax.
We know that,
Total cost of T-shirts = (Number of T-shirts)*(Cost of one t-shirt) - Discount
Hence, we can write,
C(t) = t*(15.95) - 5
C(t) = 15.95t - 5
Where, C(t) is the cost of t T-shirts and t is the number of T-shirts.
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The depth of a local river averages 25 ft, which is represented as (-25). In January, it measured 5 ft deep, or 1-5), and in July, it was 27 ft, or 1-27). What is the differences
between depths in January and July?
Answer:
22 ft
Step-by-step explanation:
Given a river that has a depth in January of -5 ft, and a depth in July of -27 ft, you want the difference between the depths in January and July.
DifferenceThe difference between two numbers is found by subtracting the second from the first:
(January depth) - (July depth) = (-5 ft) -(-27 ft)
= (-5 +27) ft = 22 ft
The difference between depths in January and July is 22 feet.
please help im really stuck
The director of a marching band asks the band members to line up in rows of six, but there are three band members in the last row. Then she tries to line them up in rows of seven, but there are four band members in the last row. Finally, she tries to line them up in rows of eight, but there are five band members in the last row.
The band has fewer than 200 members.
How many members are there?
Using divisibility rules, it is found that there are 165 members in the band.
How to determine how many members are there in the band?The number of students in the last row gives the remainder of the division of the total number of members by the number of members in each row.
Hence:
The number of members in the band divided by 6 has a remainder of 3The number of members in the band divided by 7 has a remainder of 4.The number of members in the band divided by 8 has a remainder of 5.It is also stated that the band has fewer than 200 members.
From the third bullet point, the possible values, that is, values that when divided by 8 have a remainder of 5, are given as follows:
{5, 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93, 101, 109, 117, 125, 133, 141, 149, 157, 165, 173, 181, 189, 197}.
The number is 165, because:
165/6 = 27 with a remainder of 3.165/7 = 23 with a remainder of 4.More can be learned about divisibility rules at https://brainly.com/question/9462805
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Answer the questions in the photo ( will mark brainliest if correct )
Angles of a polygon add to 360 degrees. To find the measure of each exterior angle of a regular n-gon. divide 360 by n.
18) 27.719) 36020) 12021) 36022) 4523) 20solve the following equation a+2_3 =3_4
The solution for the linear equation is:
a = 1/4.
How to solve the equation?I believe we have the linear equation:
(a + 2)/3 = 3/4
To solve this, we need to isolate the variable a in one of the sides of the linear equation, to do so, we can start by multiplying both sides by 3.
3*(a + 2)/3 = 3*(3/4)
a + 2= 9/4
Now we can subtract 2 in both sideS:
a + 2 - 2 = 9/4 - 2
a = 9/4 - 8/4 = 1/4
a = 1/4
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Find 7.2x10^-8.
_______
3x10^-2
The simplified form of the expression is 2.4 x 10⁻⁶.
Expression:
An expression is the sentence with a minimum of two numbers/variables and at least one math operation in it.
Given,
Here we have the expression
[tex]\frac{7.2\times10^{-8}}{3\times 10^{-2}}[/tex]
Here we need to simplify this expression.
Here we have to divide this expression first,
Then we get,
[tex]= > \frac{7.2}{3}\times\frac{10^{-8}}{10^{-2}}[/tex]
First, we have to divide the numbers term then we get,
=> 7.2/3 = 2.4
Then we have to solve the exponential form,
For that we have to move the denominator value to upper term,
Then we get,
=> 10⁻⁸ x 10²
=> 10⁻⁸⁺²
=> 10⁻⁶
So, the simplified form is, 2.4 x 10⁻⁶.
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Can someone help p.l.z?? 50 pts
State all 4 ways to represent the Functions showing the slope and Y-intercept for each method.
Please help as much as you can, t.h.x. <3
Four ways to find the slope and y–intercept of straight line equation are;
Making use of the graph to find the slopeObtaining the coordinates of the x–intercept, Looking for the y–intercept when the slope and a point is knownSolving for the slope when two points are givenWhat is a straight line equation?A straight line equation is of the form, y = m•x + c
Where;
m = The slope of the graph of the equation
c = The point the graph intersects the x–axis.
The process by which the slope–intercept form of a straight line equation can be found from the above ways are as follows;
1. Making use of the graph of the equation
When the graph is given, the y–intercept is found from the point the graph crosses the y–axis
Note the y–intercept
Find two points on the graph where coordinates can be obtained
Find the ratio of the rise to the run to get the slope of the graph
[tex] \displaystyle{ Slope, \: m = \frac{ rise}{run} } = \frac{ \triangle y }{\triangle x} [/tex]
With the slope and y–intercept, the equation of the line can be written as; y = m•x + c
2. Obtaining the coordinates of the x–intercept
Given the slope and the y–intercept, the x–intercept can be found by plugging in the values of the slope, m, and the y–intercept, c, in the equation, y = m•x + c, to get the equation of the line
From the equation, the x–intercept can be found by plugging y = 0, to get;
0 = m•x + c
The x–intercept becomes, [tex] \displaystyle \frac{-c}{m} [/tex]
The graph can then be plotted by drawing a line through the x and y–intercept
3. Finding the y–intercept given the slope and the x–intercept
When the slope and the x–intercept and the slope is known, whole number part of the numerator can be added to the x–value of the x–intercept to obtain the x–coordinates of a second point on the graph
The process is repeated to find the y–coordinate of the second point
The slope is calculated using the two points and the equation for the slope given in the first method
4. When two points are known, the slope is calculated using the equation in method 1
The two are joined with a straight line and the y–intercept is obtained from the point the graph intersects the y–axis
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Ratio Table, This is due tonight
Answer:
Box on the right is 6 and the lower box on the left is 840
Step-by-step explanation:
Make a proportion:
[tex]\frac{168}{1008}[/tex] =[tex]\frac{1}{x}[/tex] cross multiply and solve
168x = 1008 Divide both sides by 168
x = 6
[tex]\frac{168}{x}[/tex] = [tex]\frac{1}{5}[/tex] Cross multiply and solve
x = 168(5)
x = 840
ABCD is a rectangle. Trapezoid AEFB is congruent to
A
trapezoid CFED. G is the midpoint of segment EF.
E
Select all the ways we could describe the rigid transformation that takes AEFBto CFED.
Answer:
Step-by-step explanation:
Find the difference in the latitudes of Athens, Greece, Latitude 38° N, and Sydney, Australia, latitude 34° S.
The difference in the latitudes of Athens, Greece, Latitude 38° N, and Sydney, Australia, latitude 34° S is 72° .
We have two different coordinates, 38° N and 34° S
We can find the differnce in two different coordinates by following a few steps.
We have to consider South as negative North. So, we can write 34° S as -34° N.
Hence, we can determine the difference in between two coordinates.
Difference in coordinates ≡ 38° N - 34° S = 38° N - ( - 34° N ) = 38° N + 34° N = 72° N
So, we can conclude that, the difference is 72°.
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What is the approximate of 0.000000005
Answer:
Step-by-step explanation:
0.000000005% can be written as a fraction: 0.000000005 / 100