( a )pairs of vertical angles :
AGB and EGD
Vertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are equal in magnitude.
( b ) a pair of adjacent angles :
AGB and BGC
Adjacent angles are two angles that have a common side and a common vertex (corner point) but do not overlap in any way.
(c) Name a pair if supplementary angles :
AGB and BGD
Two angles are called supplementary when their measures add up to 180 degrees.
(d) A pair of complementary angles :
AGF and FGE
Two angles are called complementary when their measures add to 90 degrees.
(e) Find measure of CGD :
( look into the photo attached for better understanding)
CGD = 55°
hope this helps :)
Find the length of the radius. Type a numerical value in the space provided. Do not type spaces in your answer
Answer:
1
Step-by-step explanation:
its in the picture
i need brainliest for level up please
Find the value of the test statistic z using z = .
A claim is made that the proportion of children who play sports is less than 0.5, and the sample statistics include n = 1671 subjects with 30% saying that they play a sport.
A. 33.38
B. –33.38
C. 16.35
D. –16.35
Answer:
[tex]\sf z = -16.35[/tex]
formula:
[tex]\sf z = \dfrac{s-p}{\sqrt{\dfrac{p(1-p)}{n} } }[/tex]
Here s = 0.3, p = 0.5, n = 1671
solve:
[tex]\rightarrow \sf z = \dfrac{0.30-0.5}{\sqrt{\dfrac{0.5(1-0.5)}{1671} } }[/tex]
[tex]\rightarrow \sf z = \dfrac{-0.2}{\sqrt{\dfrac{0.25}{1671} } }[/tex]
[tex]\rightarrow \sf z = -16.35[/tex]
In a recursive function, what is used to determine whether to stop or to continue with another recursive step
Recursive functions are functions whose execution is called from within itself
A condition is used to stop or continue another recursive step
When does a recursive function stop?
As implied earlier, the execution of a recursive function is from within the function itself.
This means that the recursive function will continue its execution, until a condition is met.
This condition is used to determine the execution or the termination of the recursive process
Hence, a condition is used to stop or continue another recursive step
Read more about recursive functions at:
https://brainly.com/question/6561461
which expression is equivalent to 16w^2+24w+9
Answer:
(4w+3)^2
Step-by-step explanation:
rewrite in exponential form
4^2w^2+24w+9
write as a product with the factors 4w and 3
4^2w^2+2 x 4w x 3 + 3^2
calculate
(4w)^2 + 2 x 4w x 3 + 3^2
factor using a^2+2ab+b^2 = (a+b)^2
(4w+3)^2
How many times would you expect to land on heads if you flipped a standard coin 250 times?
Answer:
125
Step-by-step explanation:
250/2=125 this is how many time you would expect to get heads
1) Write 3:9 in the form 1: n
Answer:
1:3
Step-by-step explanation:
3:9
÷3 ÷3
1 : 3
n=3
Hope that helps
-4 × ( +1 - -5 ) × ( +1 - -5 ) ÷ 6 - ( +42 - -5 ) =
Answer:
-71
Step-by-step explanation:
- 4 x (+1 --5) x (+1 - -5) /6 - (42 - -5)
1 - -5 = 6 and 42 - -5 = 47
-4 x 6 = -24
-24 x 6 = -144
-144 / 6 = -24
-24 - 47 = -71
Solve the system by substitution.
y = -5x - 40
y = 5x
Step-by-step explanation:
I hope this helps...........
. 16,000 ft = __________ miles __________ yds __________ ft I need to know how much it's divided into!
Answer: 3.03 Miles, 20,000 yards, and 16,000 feet
Step-by-step explanation:
Not sure if my last answer was correct because I am not sure what you are trying to ask.
Ya'll FR get 50 points if you answer this question.
Answer:
positively correlated
Step-by-step explanation:
positive correlation: as x increases, y increases
negative correlation: as x increases, y decreases
no correlation: no discernible relationship between variables
The stronger the correlation, the closer the points are to a straight line.
ok at this triangle.
B
11 cm
4 cm
A
C
workout length AC.
Answer:
<c =90 ° So, Pythagoras theorem can be used, Hypotenuse ² = base ² + altitude ²AB²=AC²+BC²11²=AC²+4²11²-4²=AC²121-16=AC²Root 105=ACAC=10.2 cm
Step-by-step explanation:
Mark me brainliest!!
Volunteers collect and remove litter from a park. They collect 20 cans. They also collect 50% more glass bottles than cans and 110% more plastic bottles than glass bottles. How many plastic bottles do the volunteers collect?
Answer:
63
Step-by-step explanation: 50% of 20 is 30, 30 x 2 = 60, 60 + 10% of 30 = 63
write all factors of 16
Answer:
1, 2, 4, 8, and 16
^^^Factors : )
Answer:
1,2,4,8,16 or 1*16, 2*8, and 4*4
Step-by-step explanation:
Arrange the circles (represented by their equations in general form) in ascending order of their radius lengths. X2 y2 − 2x 2y − 1 = 0 x2 y2 − 4x 4y − 10 = 0 x2 y2 − 8x − 6y − 20 = 0 4x2 4y2 16x 24y − 40 = 0 5x2 5y2 − 20x 30y 40 = 0 2x2 2y2 − 28x − 32y − 8 = 0 x2 y2 12x − 2y − 9 = 0.
Circles (represented by their equations in general form) in ascending order of their radius lengths can be arranged as first-fifth-second-forth-third-seventh-sixth.
What is the equation of circle?The equation of the circle is the equation which is used to represent the circle in the algebraic equation form with the value of center point in the coordinate plane and measure of radius.
The standard form of the equation of the circle can be given as,
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Here (h,k) is the center of the circle and (r) is the radius of the circle.
Lets arrange the first equation, in standard form of equation of circle as,
[tex]x^2 +y^2 - 2x+ 2y -1 = 0 \\(x^2 - 2x) +(y^2+ 2y )= 1\\(x^2 - 2x+1) +(y^2+ 2y +1)= 1+1+1\\(x-1)^2+(y+1)^2=(\sqrt{3})^2[/tex]
The radius of this circle is √(3).
Lets arrange the second equation, in standard form of equation of circle as,
[tex]x^2 +y^2 - 4x+ 4y - 10 = 0 \\(x^2 - 4x) +(y^2+ 4y )= 10\\(x^2 - 4x+4) +(y^2+ 4y +4)= 10+4+4\\(x-2)^2+(y+2)^2=(\sqrt{18})^2[/tex]
The radius of this circle is √(18).
Lets arrange the third equation, in standard form of equation of circle as,
[tex]x^2 +y^2 - 8x - 6y - 20 = 0 \\(x^2 - 8x) +(y^2-6y )= 20\\(x^2 - 8x+16) +(y^2- 6y +9)= 10+16+9\\(x-4)^2+(y-3)^2=(\sqrt{45})^2[/tex]
The radius of this circle is √(45).
Similarly, radius of the forth, fifth, sixth and seventh circle is √(23), √(5), √(117) and √(46) units.
Hence, the circles (represented by their equations in general form) in ascending order of their radius lengths can be arranged as first-fifth-second-forth-third-seventh-sixth.
Learn more about the equation of circle here;
https://brainly.com/question/1506955
Answer:
1) → 5) → 2) → 4) → 3) → 7) → 6)
Step-by-step explanation:
A new van is bought for $30,000 and depreciates in value by 8. 4% per year
Answer:
2520 decrease per year
Step-by-step explanation:
8.4% is also .084 so you multiply .084 by 30,000 and get 2520.
If
4-6
6 = 15, what is the value of t?
Answer:
The value of t is 11
Step-by-step explanation:
Simplify The Following
Answer:
i think this would help
please help with q14 both parts thank you!
Answer:
(i) y = 5/7x
(ii) 7/3 m/s
Step-by-step explanation:
Shadow problems almost always involve similar triangles, meaning that shadow lengths and object heights generally have the same ratio. We can use this fact to write proportions related to the measures in this problem.
(i)The ratio of shadow-tip distance to the object height is the same for both objects. For distances in meters, we have ...
x/7 = (x-y)/2
2x = 7(x -y) . . . . . multiply by 14
7y = 5x . . . . . . . add 7y-2x
y = 5/7x . . . . . divide by the coefficient of y
__
(ii)Solving the equation from the first part for x, we have ...
x = 7/5y . . . . . multiply by 7/5
The derivative with respect to time is then ...
x' = 7/5y'
The rate of change of y is given as 5/3 m/s, so the rate of change of x will be ...
x' = (7/5)(5/3 m/s) = 7/3 m/s
The top of the man's shadow is moving at 7/3 meters per second.
Four eighths of Kelly's beads are red,
1
8
are white, and the rest are blue.
What fraction of Kelly's beads are blue? pls answer quick
Answer:
3/8
Step-by-step explanation:
because 4/8 are red , 1/8 are white… (which is 5/8 now)
the remaining would be 3/8
If you check your work, the total would be 8/8
These tables represent the relationships between x and y for two different sets of data.
Which statements correctly describe the relationships between x and y for each table?
Answer:
b option is a correct answer
Which model shows 1/3 times 1/2
Answer:
the answer is 1/6
Hey there!
=> [tex] \frac{1}{3} \times \frac{1}{2} [/tex]
we multiply the denominators which are 3 and 2
=> [tex] \frac{1}{3 \times 2} [/tex]
=> [tex] \frac{1}{6} [/tex]
Therefore, 1/3 × 1/2 = 1/6
The length of a rectangle is 4 m longer than its width. If the perimeter of the rectangle is 72 m, find its length and width
Answer:
40m
Step-by-step explanation:
72/2=36
36+4=40m
A concert hall sells show tickets for $12 each and has a capacity of 400 people. The function M(x) = 12x represents the amount of money the concert hall makes from ticket sales, where x is the number of people in the audience. What would be the most appropriate domain for the function? (1 point)
All real numbers
All whole numbers
Whole numbers that are multiples of 12
Whole numbers less than or equal to 400
Answer:
Whole numbers less than or equal to 400
Step-by-step explanation:
i took the test
I need help with this problem. One number is 6 less than another number. The sum of the numbers is 24. Let x and y be the two numbers.
Answer:
what do I do I’m new
Step-by-step explanation:
Answer:
y=9 and x=15
Step-by-step explanation:
ok looking at what they give us in the question we can see that we have two equations. to solve for it be will need to combine them together
note that because they use the word sum we know it's addition
y= x-6
x+y=24
now that we have these we can substitute y=x-6 for the y in our addition equaution such that we have it in terms of one variable:
x+ (x-6) = 24
2x-6=24
2x=30
x=15
now going back we can find Y
15+ y = 24
y=9
Solve each system using substitution.
y = 2x
6x - y = 8
3x + 5y = 2
x + 4y = -4
Answer for 50 BRAINLIST!!!
Answer:
[tex](2, 4)\rightarrow\text{First system}[/tex]
[tex](4, -2)\rightarrow\text{Second system}[/tex]
Step-by-step explanation:
First system:
We can substitute 2x for y:
[tex]6x-y=8\\6x-2x=8\\4x=8[/tex]
Divide both sides by 4
[tex]x=2[/tex]
Substitute 2 for x to solve for y:
[tex]y=2x=2(2)=4[/tex]
[tex](x, y)=(2, 4)[/tex]
Second system:
We can isolate x in the second equation by subtracting 4y from both sides:
[tex]x=-4-4y[/tex]
Now, substitute this value for x in the first equation:
[tex]3(-4-4y)+5y=2\\[/tex]
Distribute the 3 to each term in the parentheses:
[tex]3(-4)+3(-4y)+5y=2\\-12-12y+5y=2\\-12-7y=2[/tex]
Add 12 to both sides:
[tex]-7y=14[/tex]
Divide both sides by -7
[tex]y=-2[/tex]
Now, substitute -2 for y to solve for x:
[tex]x=-4-4y=-4-4(-2)=-4+8=4[/tex]
[tex](x, y)=(4, -2)[/tex]
the exponential function FFF, whos graph is given below can be written as FFF (x) = a . b^x
the line evens out at (-3 , 0)and curves from left to right to (0,2) then (1,6)
Answer: Graph f(x) = x2 x 6. 2. The domain of f x ex , is f f , and the range is 0,f . ... x) 0. An exponential function with a > 0 and b > 1, like the one above
Step-by-step explanation:
If a square has an area that is 4 square feet or less, what are the possible lengths x for the side of the square.
Answer:
2×2cm, 1×4cm, 4×1cm are the ones that have sides that are whole numbers.
Are 7/-8 and -7/8 equal?
Yes, they are
Because with fractions, you can divide. The rules for multiplying or dividing with negative numbers are that negative * or / negative = positive and that one negative * or / a positive = negative. These fractions here have one negative and one positive, making it so that when you divide, it will be negative.
Hello.
[tex]\mathrm{\displaystyle\frac{7}{-8} \:and\:\frac{-7}{8} \:are\:equal\:}[/tex]
If we divide a positive number by a negative number, we get a negative number.
Let's try.
We can turn both of these fractions into decimals and see if they are equivalent.
The simplest way to turn a fraction into a decimal is divide the numerator by the denominator.
[tex]\mathrm{\displaystyle\frac{7}{-8} = -0.875}[/tex]
Now, let's convert the second fraction into a decimal:
[tex]\mathrm{\displaystyle\frac{-7}{8} =-0.875}[/tex]
[tex]\mathrm{-0.875=-0.875}[/tex]
Therefore, the two fractions are equivalent (equal).
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
( a+ b) ( a- b) ( a square + 4 square )
Answer:
[tex]\sf a^4 +16a^2 -b^2 a^2 -16b^2[/tex]
Explanation:
[tex]\sf ( a+ b) ( a- b) ( a^2 + 4^2)[/tex]
expand
[tex]\sf (a^2-ba+ba-b^2 ) ( a^2 + 16)[/tex]
simplify
[tex]\sf (a^2-b^2 ) ( a^2 + 16)[/tex]
expand
[tex]\sf a^4 +16a^2 -b^2 a^2 -16b^2[/tex]
Solution:
Note that:
Given expression: (a + b)(a - b)(a² + 4²)Formula: (a + b)(a - b) = a² - b²
Simplify the expression using the formula.
(a + b)(a - b)(a² + 4²)=> {(a + b)(a - b)}(a² + 4²)=> (a² - b²)(a² + 16)=> a⁴ + 16a² - a²b² - 16b²Ben earned $58.80 last week and donated $7.35 to charity. What percent of the money earned did Ben donate? Show your work please thank you
Answer:
4.32%
Step-by-step explanation:
you divide 7.35 ÷ 100 = 0.0735, then multiply 0.0735 × 58.80 = 4.32%