The expression to find the angle BGC is 11x + 34.
The equation that would help us find the angles of AGB and BGC is 90 = 11x + 46.
The correct equation that would help us find the angles of ABG, AGF, and AGE is 15x + 120 = 180.
What is a complementary angle?In Mathematics and Geometry, a complementary angle refers to two (2) angles or arc whose sum is equal to 90 degrees (90°).
By substituting the given parameters into the complementary angle formula, the sum of the angles is given by;
∠AGB + ∠BGC = 90.
12 + 11x + 34 = 90
11x + 46 = 90
90 = 11x + 46.
Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can reasonably infer and logically deduce that the sum of angles ABG, AGF, and AGE are supplementary angles:
12 + 90 + 15x + 18 = 180°
120 + 15x = 180°
15x + 120 = 180
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is 9.307 greater than 9.37
Answer:
No because 9.307 is less than due the facts that the seven in 9.307 is in the thousandth while the seven in 9.37 is in the hundredths
what is (1/2 + isqrt3/2)^5?
Answer:
\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
Step-by-step explanation:
Convert 1/2 + i√3/2 to rectangular form
\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)
Use DeMoivre's Theorem
\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
In a survey of 259 professional athletes, it was found that 110 of them owned a convertible, 91 of
them owned a giant screen TV, and 120 owned a sporting goods store. 15 owned a convertible and a
store, 43 owned a TV and a store, and 44 owned a covertible and a TV. 9 owned all three items.
1. How many athletes did not own any of the three items?
2. How many owned a covertible and a TV, but not a store?
3. How many athletes owned a convertible or a TV?
4. How many athletes owned exactly one type of item in the survey?
5. How many athletes owned at least one type of item in the survey?
6. How many owned a TV or a store, but not a convertible?
1. Number of athletes did not own any of the three items = 259 - 228
= 31.
2. Number of athletes own a convertible and a TV but not a store = 44 - 9
= 35.
3. Number of athletes own a convertible or a TV = 110 + 91 - 44
= 157.
4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.
5. Number of athletes owned at least one type of item = 259 - 31
= 228
6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71
= 118.
The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.
Total number of athletes surveyed = 259
Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228
Number of athletes who did not own any of the three items = 259 - 228 = 31.
The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.
Number of athletes who own a convertible and a TV = 44
Number of athletes who own all three items = 9
Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35
The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.
Number of athletes who own a convertible or a TV = 110 + 91 - 44
= 157.
The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.
Number of athletes own a convertible only = 110 - 15 - 9 = 86
Number of athletes own a TV only = 91 - 44 - 9 = 38
Number of athletes own a store only = 120 - 15 - 43 - 9 = 53
Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.
The number of athletes who owned at least one type of item can use the result from part (1).
Number of athletes who owned at least one type of item = 259 - 31
= 228
The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.
Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159
Number of athletes own a TV or a store not a convertible = 13 + 34 +71
= 118.
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The following statements are about finding a midpoint of a segment in the complex plane. Which statement is false?
The midpoint is the average of the endpoints.
First add the endpoints and then multiply by 1/2.
First subtract the endpoints and then divide by 2.
The midpoint of complex conjugates will lie on the x-axis.
Answer:
C.
Step-by-step explanation:
First subtract the endpoints and then divide by 2.
The incorrect statement about the midpoint of a segment in the complex plane is: First subtract the endpoints and then divide by 2.
What is complex number?"It is a number of the type a + ib, where a, b are real numbers and \(i=\sqrt{-1}\)"
What is midpoint formula in the complex plane?"The midpoint of two complex numbers a + bi and s + ti is \(M=\frac{a+s}{2}+i(\frac{b+t}{2} )\)"
What is complex plane?"It is formed by the complex numbers, with real axis (x-axis in coordinate plane) and imaginary axis(y-axis in coordinate plane)"
For given question,
We know that the midpoint of a segment in the complex plane passing through two complex numbers a + bi and s + ti is given by \(M=\frac{a+s}{2}+i(\frac{b+t}{2} )\).
This means, the midpoint is the average of the endpoints.
or to find the midpoint first add the endpoints and then multiply by \(\frac{1}{2}\)
We know that the complex conjugate of a complex number x + iy is x - iy.
if we find the midpoint of a segment passing through these points, then it would be,
\(M=\frac{x+x}{2} + i (\frac{y-y}{2})\\\\M=x+0i\\M=x+0\\M=x\)
This means the midpoint would lie on the X-axis.
Therefore, the incorrect statement about the midpoint of a segment in the complex plane is: First subtract the endpoints and then divide by 2.
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Plz help with this it would mean a lot
Answer:
y=1.4x
Step-by-step explanation:
It goes up by 2.8 each 2 values of x therefore 1.4 per value of x
Help plz:)))I’ll mark u Brainliest
Answer:
11, 21, 31
Step-by-step explanation:
In a triangle with side lengths \(a\), \(b\), and \(c\), any two sides must have a sum larger than the third.
Using this rule, the possible side lengths out of these choices that could form a triangle are:
21,
11,
31
Tim has 39 pairs of headphones and 13 music players. Tim wants to sell all of the headphones and music players in identical packages. What is the greatest number of packages Tim can make?
Answer:
13 packages
Step-by-step explanation:
We need to find the highest common factor, in order to solve this problem.
So, we have to find the highest common factor of 39 and 13.
We find the highest common factor of 39 and 13 because it says in the problem” Tim has 39 pairs of headphones and 13 music players.”
And than you just find the highest common factor, after you find the highest common factor... YOU ARE DONE SOLVING THE PROBLEM!
The highest common factor will be 13
13: 1,13
39:1,3,13,39
ANSWER:13
Hope this helps!
Answer:
13
Step-by-step explanation:
Greatest number of packages Tim can make =
H. C. F of 39 and 13
Factors of 39 = 13 * 3 * 1
Factors of 13 = 13 * 1
H.C.F = 13
Therefore, Greatest number of identical packages Tim can make is 13.
I need help what is the GCF of the two terms 16x and 40x? NUMBER 11
First we have to identify common factors among these two terms.
40 16 l 2 We can divide both by 2
20 8 I 2 We can divide both by 2
10 4 I 2 We can divide both by 2
5 2 I x There is no number different than one to divide them at the same time
Then , we multiply our factors , doing so, we get 2*2*2=8
X is also a common factor, so the GFC must be 8x.
solve and find the value of (1.7)^2
Answer:
2.89
Step-by-step explanation:
just do 1.7×1.7=2.89
Help help help math math math
Hi!
Slope Formula\(\cfrac{y2-y1}{x2-x1}\)
Y2 and Y1 represent the y-coordinates, and X2 and X1 represent the x-coordinates.
We are given the points:
(4, 6) and (7, 12)
Using this formula, we plug in the given points like so:
\(\cfrac{12-6}{7-4}\)
Now we can simplify:
\(\cfrac{12-6}{7-4}=\cfrac{6}{3} =2\)
Therefore, your final answer is:
\(\cfrac{12-6}{7-4}=2\)
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Answer:
12 - 6
--------- =2
7 - 6
Step-by-step explanation:
Expand the function.
f(x) = (3x-4)4
81x4 − 432x³ + [? ]x²
+
-
X +
PLS HELP
The expansion of the function \((3x - 4)^4\) simplifies to \(81x^4 - 432x^3 + 864x^2 - 768x + 256.\)
To expand the function \(f(x) = (3x - 4)^4\), we can use the binomial theorem. According to the binomial theorem, for any real numbers a and b and a positive integer n, the expansion of \((a + b)^n\) can be written as:
\((a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^{(n-1)} b^1 + C(n, 2)a^{(n-2)} b^2 + ... + C(n, n-1)a^1 b^{(n-1)} + C(n, n)a^0 b^n\)
where C(n, k) represents the binomial coefficient, which is given by C(n, k) = n! / (k!(n-k)!).
Applying this formula to our function \(f(x) = (3x - 4)^4\), we have:
\(f(x) = C(4, 0)(3x)^4 (-4)^0 + C(4, 1)(3x)^3 (-4)^1 + C(4, 2)(3x)^2 (-4)^2 + C(4, 3)(3x)^1 (-4)^3 + C(4, 4)(3x)^0 (-4)^4\)
Simplifying each term, we get:
\(f(x) = 81x^4 + (-432x^3) + 864x^2 + (-768x) + 256\)
Therefore, the expanded form of the function \(f(x) = (3x - 4)^4\) is \(81x^4 - 432x^3 + 864x^2 - 768x + 256\).
Note that the coefficient of \(x^3\) is -432, the coefficient of \(x^2\) is 864, the coefficient of x is -768, and the constant term is 256.
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Note the complete question is
What part of an hour passes from 3:12 p.m. to 5:30 p.m.?
Answer:
2.3 hours
Step-by-step explanation:
From 3:12 pm to 4:12 pm, one hour passes.
From 4:12 pm to 5:12 pm, another hour passes.
From 5:12 pm to 5:30 pm, there are 18 minutes that pass.
Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.
To convert this to a fraction, we can write:
2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours
So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.
Point A is located at (-2, 2), and point M is located at (1,0). If point M is the midpoint of AB, find the location of point B.
O(-0.5, 1)
O (4,-2)
O(-5,4)
O(-1,1)
Answer:
B. \(B = (4,-2)\)
Step-by-step explanation:
GIven that \(A = (-2, 2)\) and \(M = (1, 0)\), and that point M is the midpoint of AB, the midpoint can be determined as a vectorial sum of A and B. That is:
\(M = \frac{1}{2}\cdot A + \frac{1}{2}\cdot B\)
The location of B is now determined after algebraic handling:
\(\frac{1}{2}\cdot B = M - \frac{1}{2}\cdot A\)
\(B = 2\cdot M -A\)
Then:
\(B = 2\cdot (1,0)-(-2,2)\)
\(B = (2\cdot 1, 2\cdot 0)-(-2,2)\)
\(B = (2,0) -(-2,2)\)
\(B = (4,-2)\)
Which corresponds to option B.
The coordinate of point B will be (4, -2). Then the correct option is B.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Point A is located at (-2, 2), and point M is located at (1,0).
If point M is the midpoint of AB.
Then the location of point B will be
We know that the mid section formula
\(\rm (x, y) = \left ( \dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2} \right)\)
Then the formula can be written as
x₂ = 2x - x₁ and y₂ = 2y - y₁
Then we have
x₂ = 2 × 1 + 2
x₂ = 4
y₂ = 2 × 0 - 2
y₂ = - 2
Then the coordinate of point B will be (4, -2).
Thus, the correct option is B.
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What is 20% of 50 apples
Answer:
10
Step-by-step explanation:
Answer:
10 apples
Step-by-step explanation:
20% of 50 = 10
10 apples
6.05) The table shows the number of students in a class who play on a school team and/or are members of a school club: Play on a School Team Do Not Play on a School Team Total Club Member 12 ? 15 Not a Club Member 11 10 21 Total 23 13 36 What is the missing number in the table? 3 5 25 27
Answer: 3 i took the test and got it right
Step-by-step explanation:
Can someone help me?Solve the equation , check for extraneous solutions
Answer:
0
Step-by-step explanation:
\(2\sqrt[3]{(1-3x)} =6-4=2\\\sqrt[3]{(1-3x)}=\frac{2}{2} =1\\\sqrt[3]{(1-3x)}^{3} =1^{3} \\(1-3x)=1\\-3x=0\\x=0\)
graph -3x+y=10 using slope-intercept form
I graphed it using slope-intercept form.
Answer:
Slope-intercept form: (y=mx+b) y=3x+10
To graph, place points at (-2, 4), (-3, 1), and (-4, -2), then draw a line connecting them
Step-by-step explanation:
The 10 in the equation represents where the line will intercept the y-axis. The 3x means that for every 1 unit you move to the right, you move 3 units up (or 1 to the left, 3 units down).
please help please...
The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.
What is the transformation of geometry over the coordinate plane?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.
here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.
Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)
So, the image of B,
B' = (-(-4), -5)
B' = (4, -5)
Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.
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M(3,-4) is the midpoint between R(x,y) and S(6,0). Find the coordinates of R
Answer:
R = (0,-8)
Step-by-step explanation:
Let's look at the difference between S, and the midpoint M.
S(6,0) - M(3,-4) = N(3,4) This will help us find R(x,y)
Next, take M, and subtract N from it.
M(3,-4) - N(3,4) = (0,-8). This is the value of R.
Which expression is equivalent to 6( 3x + 4)?
Answer:
18x + 24 or c
Step-by-step explanation:
1 8 + 2 4
this is the answer
Janet sold half of her stickers to the neighbor kids.
Then, she bought 50 more. Now, she has 238
stickers. How many did she start with
Answer:
94 stickers
Step-by-step explanation:
X/2 + 50 = 238
X/2 = 238-50
X= 188/2
X = 94
I need help or my grade is going to go to a f-
Answer:
1
Step-by-step explanation:
65.751 = 6 x 10 + 5 x 1 + 7 x 1/10 + 5 x 1/100 + 1 x 1/1,000
6 x 10 = 60
5 x 1 = 5
7 x 1/10 = 0.7
5 x 1/100 = 0.05
1 x 1/1000 = 0.001
60 + 5 + 0.7 + 0.05 + 0.001 = 65.751
At time t=0, water begins to drip out of a pipe into an empty bucket. After 88 minutes, there are 11 inches of water in the bucket. Write a linear function rule to model how many inches of water w are in the bucket after any number of minutes t.
The required linear function rule is W = (1/7) t
What is a linear equation?
A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form
y = mx + c
Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.
At t = 0, W = 0
At t = 88 minutes , W = 11 inches
W = k*t The y intercept = 0 because t = 0 W = 0
11 inches = k * 88 minutes
k = 11 / 88
k = 1/8 inches / minute
W = (1/8) t
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Question 6 of 10
Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. What may be false
B. What
may
be true
C. What must be true
o
D. None of these
Answer:
B. What must be true.
Step-by-step explanation:
hope that helps :)
An auditorium has 40 rows of seats. There are 20
seats in the first row. Each row has 2 more seats
than the row before.
Identify the number of seats in the first 4 rows:
Answer:
140 seats
Step-by-step explanation:
40 rows
1ˢᵗ row = 20 seats
39 next rows = 2×20 = 40 seats
First 4 rows = 20 seats + 3(40) seats = 140 seats
➪the 2ⁿᵈ, 3ʳᵈ and 4ᵗʰ rows have equal number of seats = 40 seats
Answer:
98
Step-by-step explanation:
3
Which shows how to solve the equation 7 X=-6 for x in one step?
Solve for x. Round to the nearest tenth, if necessary.
Using Trigonometry, the value of x in the right triangle is 17.1
Since we have a right angle triangle ; The angle L can be obtained thus ;
L = 180 - (90+67)
L = 23
Using Trigonometry:
Sin23° = opposite/ hypotenuse
Opposite= 6.7
hypotenuse= x
Sin23° = 6.7/x
x = 6.7/sin(23°)
x = 17.14
Therefore, the value of x to the nearest tenth is 17.1
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The bill for your dinner was $12 and you paid $4 gratuity. What percent gratuity did you
give?
Answer:
33.333333333333%
Rounded: 33%
Angle ABC and angle CBD are complimentary .CBD has an angle of 38 degrees What is the value of x?
Answer:
what school you do i think im on that
on thatStep-by-step explanation:
Answer:
142
Step-by-step explanation:
Complimentary means 180 degrees, so you have to subtract 38 from 180:
180
-38
142
Jonathan is working at Macy's for the holidays. He earns $22.00 in 2 hours.***. --Jonathan is hoping to work 82 hours in November. If he does, how much money would he earn? * PLZ HELP
Answer:
he would make $902
Step-by-step explanation:
22%2=11
82×11=902
Answer:
if he makes $22.00 in 2 hours he would make $11 in 1 hour. so if you take 82 times $11 it is $902 so he would earn $902 in 82 hours
Step-by-step explanation: