Answers
Step-by-step explanation:
RAGL is a rhombus.
[tex] \therefore RA = AG..
(sides\: of\: rhombus) \\
\therefore m\angle ARG = m\angle AGR... (1)[/tex]
(Angles opposite to equal sides are equal)
[tex] In\:\triangle RAG, \\
m\angle ARG +\bold{ m\angle AGR} + {m\angle RAG} = 180°\\
m\angle ARG +\bold {m\angle ARG} + 58° = 180°\\
[From\:equation \: (1)]\\
2m\angle ARG = 180°-58° \\
2m\angle ARG = 122° \\
m\angle ARG =\frac{122°}{2} \\
\huge \red {\boxed {m\angle ARG = 61°}} [/tex]
Hence, option A is the correct answer.
Related Questions
What nationality were the terrorists that blew up the Alfred P. Murrah Federal
Building in Oklahoma City?
A.Sudanese
B.Saudi Arabian
C.Syrian
D.American
Answers
What 4 out 100 in percent
Answers
Answer:
4%
Step-by-step explanation:
Answer:
4%
Step-by-step explanation:
How much is 4 out of 100 written as a percentage? Convert fraction (ratio) 4 / 100
how do u solve quadratic equations
Answers
Answer:
[tex]\frac{ -b+/-\sqrt{b^2-4ac} }{2a}[/tex]
Step-by-step explanation:
1) the equation listed above is the quadratic formula! you can solve ANY quadratic equation with it
quadratic equations in the form of:
ax^2+bx+c
just substitute a,b,and c for the numbers in the quadratic equation!
2)factoring:
my 2nd favorite method:
your equation will be in the form of:
ax^2+bx+c
where you need to find:
what*what=c
and
what+what=b
once you find those two things out then substitute those numbers in place of "b"
for example:
x^2+7x+10
factors of 10: 5,2 10,1 -2,-5 -10,-1
factors of 10 that=7
5,2
so
x^2+5x+2x+10
now group this equation:
group a) x^2+5x
group b) 2x+10
gcf of group a) x
so
x(x+5)
group b) gcf:2
so
2(x+5)
combine the numbers outside the parantheses:
(x+2)(x+5)=0
x+2=0
x=-2
x+5=0
x=-5
hence x=-2,-5
hope this helps!
A group of students is timed while sprinting 100 meters. Each student’s speed can be found by dividing 100 m by their time. Is each statement true or false? Explain your reasoning.
Speed is a function of time.
Time is a function of distance.
Speed is a function of number of students racing.
Time is a function of speed.
Answers
Answer:
True
Step-by-step explanation:
since, S= D/T the distance traveled would only be 100m, it is a consatnt variable dividing it with the time it takes to reach that distance would be its speed. Unless there is an acceleration happening in that process the speed would change depending on the situation.
Final answer:
Speed is a function of time and time is a function of speed, with these relationships demonstrated through the equations speed = distance/time and time = distance/speed. The number of students racing does not affect an individual's speed.
Explanation:
A student asked several questions related to speed, distance, and time while analyzing a 100-meter sprint. To address these questions, we will look at the relationships between these quantities.
Speed is a function of time: True. Speed can be calculated as the distance traveled divided by the time it took, so if you know the time, you can calculate the speed using the equation speed = distance/time.
Time is a function of distance: False. Time can be a function of speed and distance (time = distance/speed), but this question does not provide information indicating that time is directly dependent on distance alone.
Speed is a function of the number of students racing: False. The speed of a student is independent of the number of students racing; it is determined by the individual's performance (distance/time).
Time is a function of speed: True. Given a constant distance, time can be calculated by dividing the distance by the speed (time = distance/speed).
In simplest terms what is the answer to 1/8added to 1/6
Answers
Answer:
7/24
Step-by-step explanation:
1/8 added to 1/6
means 1/8 plus 1/6
1/8 = 3/24,
1/6= 4/24
3/24 + 4/24 = 7/24
Answer:
7/24
Step-by-step explanation:
1/8+1/6
=(1*6)+(1*8)
------------------divide
8*6
=14/48
14/2
--------
48/2
=7/24
im sorry the math is weird my key board is small on this computer and i can only do so much but i hope that this helps you and you can do good in online school and happy quarantine stay home if you can to stop the spread of corona and help open the world again:)
a web music store offers two versions of a popular song. the size of the standard version is 2.9 megabytes (MB). the size of the high-quality version is 4.8 MB. yesterday, the high-quality version was downloaded four times as often as the standard version. The total size downloaded for the two versions was 6188 MB. How many downloads of the standard version were there?
Answers
Answer:
280 downloads
Step-by-step explanation:
-let x denote the number of standard version downloads.
-Given that the high-quality version was downloaded four times as often as the standard version it is denoted as 4x
-This can then be expressed as:
[tex]x(2.9)+4x(4.8)=6188\\\\2.9x+19.2x=6188\\\\22.10x=6188\\\\x=280[/tex]
Hence, the number of standard version downloads is 280
What is the center of the circle given by the equation (x + 5)2 + (y - 8)2 = 1?
A.
(5, -8)
B.
(-5, -8)
C.
(5, 8)
D.
(-5, 8)
Answers
Circle equation: (x + h)² + (y - k)² = r²
The center can be found by looking at (h, k) in the equation.
We are given the equation (x + 5)² + (y - 8)² = 1
The center is (h, k) so, it is (-5, 8)
Best of Luck!
Answer:
he center is (h, k) so, it is (-5, 8)
Step-by-step explanation:
Please Help Me!! I can’t figure this out!!
Answers
Answer:
a=12 ft, b=12 ft
Step-by-step explanation:
-Length A and length B are equal since the right angle triangle is also an isosceles triangle.
-We use the Law of sines to calculate the two lengths:
[tex]\frac{a}{Sin \ A}=\frac{b}{Sin \ B}=\frac{12\sqrt{2}}{Sin\ 90\textdegree}\\\\a=b=12\sqrt{2} \ Sin \ 45\textdegree\\\\a=b=12\ ft[/tex]
Hence, length a is equal to length b which is equal to 12 ft
A right triangle has legs with lengths equal to 10inches and 9x inches. It’s hypotenuse measures (x+10) inches.
What is the approximate value of the hypotenuse?
Answers
Answer:
the answer is 10.25
Step-by-step explanation:
Answer:
the approximate value of the hypotenuse is 10.25 seconds
Step-by-step explanation:
which is the rate of change for the interval between -6 and -3 on the x-axis ?
Answers
Answer:
Its -2.
Step-by-step explanation:
Answer:
A. -2
Step-by-step explanation:
2.plz answer question with explanation
Answers
Barbara has a bag that contains 8 blue coins and 2 red coins. She removes one coin at random, records the color, then places it back in the bag. She does this 50 times. She finds that P(blue) = 37/50. If Barbara does 100 trials of this experiment, how many blue coins could she expect to get?
Answers
Answer:
74
Step-by-step explanation:
37/50 * 100 = 74
Answer:
Step-by-step explanation:
PLZ HELP RIGHT NOW PLZ I WILL MARK BRAINLIEST I BEG NO SILLY ANWSER =(
anwser plz
1. 7(3-3x)=84 what is x
2. -7(-4-3m)=112 what is m
3.-182=7(2b-8)+7b what is b
4. -101 = -5(8x-5) -6 what is x
Answers
Answer:
1. x=-3
2. m=4
3. -6=b
4. x=3
Step-by-step explanation:
1. 7(3-3x)=84 what is x
- Distribute the 7 using distributive property, which will give you 21-21x=84.
- Add 21 to both sides to aim to isolate the x variable, which will give you -23x=63.
- Divide both sides by the coefficient of x, -23, to finally get x by itself: x=-3
2. -7(-4-3m)=112 what is m
- Distribute the -7 using distributive property, which will give you 28+21m=112. Be wary of negatives.
- Subtract 28 to both sides, which will give you 21m=84.
- Divide both sides by 21 (the coefficient of m) to get m by itself: m=4
3.-182=7(2b-8)+7b what is b
- Distribute the 7 using distributive property, which will give you -182=14b-56+7b
- Add like terms to get -182=21b-56.
- Add both sides by 56, which will get you -126=21b.
- Divide both sides by the coefficient of b, 21, to get b by itself: -6=b
4. -101 = -5(8x-5) -6 what is x
- Distribute the -5 using distributive property, which will give you -101=-40x+25-6. Beware of negatives.
- Add like terms to get -101=-40x+19.
- Subtract both sides by 19 to get -120=-40x.
- Divide both sides by 40 (the coefficient of x) to get 3=x.
Hope this helps!
Admission to a baseball game is $4.00 for general admission and $4.50 for reserved seats. The receipts were $5150.00 for 1255 paid admission. How many of each ticket were sold?
Answers
Answer:
995 general admission tickets and 260 reserved seat tickets
Step-by-step explanation:
We can solve this by using Simultaneous equations.
General admission is $4.00 and each Reserved seat is $4.50.
Let g represent the number of General admission tickets and r represent the number of Reserved seat tickets.
The total amount paid for 1255 tickets is $5150.00.
This means two things:
1. The total number of tickets is 1255, which means if we add the general admission tickets and the number of reserved seat tickets, we will get 1255:
g + r = 1255 ________________ (1)
2. The total price of all tickets is $5150.00, which means if we multiply the number of general admission tickets by the price of general admission tickets and we multiply the number of reserved seat tickets by the price of reserved seat tickets and add them up, we will get $5150:
(4.00*g) + (4.50*r) = 5150 _________(2)
=> g + r = 1255 __________________(1)
(4.00*g) + (4.50*r) = 5150 _________(2)
From (1):
g = 1255 - r _______ (3)
Putting (3) in (2):
{4.00*(1255 - r)} + (4.50*r) = 5150
5020 - 4.00r + 4.50r = 5150
5020 + 0.50r = 5150
=> 0.50r = 5150 - 5020
0.50r = 130
r = 130 / 0.50 = 260
Putting the value of r in (3):
g = 1255 - 260 = 995
Hence, 995 general admission tickets and 260 reserved seat tickets were sold.
Final answer:
To find the number of general admission and reserved seat tickets sold, set up and solve a system of equations using the given information.
Explanation:
Given:
General admission tickets cost $4.00.
Reserved seat tickets cost $4.50.
Total receipts were $5150.00 for 1255 paid admissions.
To solve:
Let x be the number of general admission tickets sold.
Let y be the number of reserved seat tickets sold.
Form the equations: x + y = 1255 and 4x + 4.50y = 5150.
Solve the system of equations to find x and y.
Answer: 705 general admission tickets and 550 reserved seat tickets were sold.
HELP ME ASAP PLEASE!!!WILL MARK BRAINLIEST!!!
What’s x?
#3 only. But if u wanna do #5 then go ahead lol
Answers
Answer:
x=10.85
Step-by-step explanation:
you add 85 and 31 equaling 116.
13x-21=116
+21 =+21
13x=137
13x= 13x
x=10.85
Marquise has 200200200 meters of fencing to build a rectangular garden.
The garden's area (in square meters) as a function of the garden's width www (in meters) is modeled by:
A(w)=-w^2+100wA(w)=−w
2
+100wA, left parenthesis, w, right parenthesis, equals, minus, w, squared, plus, 100, w
What is the maximum area possible?
Answers
Answer:
2500 Square meters
Step-by-step explanation:
Given the garden area (as a function of its width) as:
[tex]A(w)=-w^2+100w[/tex]
The maximum possible area occurs when we maximize the area. To do this, we take the derivative, set it equal to zero and solve for w.
A'(w)=-2w+100
-2w+100=0
-2w=-100
w=50 meters
Since Marquise has 200 meters of fencing to build a rectangular garden,
Perimeter of the proposed garden=200 meters
Perimeter=2(l+w)
2(l+50)=200
2l+100=200
2l=200-100=100
l=50 meters
The dimensions that will yield the maximum area are therefore:
Length =50 meters
Width=50 meters
Maximum Area Possible =50 X 50 =2500 square meters.
x2 + 4x - 21 = 0 quadratic formula
Answers
Answer:
0
Step-by-step explanation:
x2 +4x-21=0. solve for x
[tex]x = \frac{7}{2} [/tex]
[tex]x = 3 \frac{1}{2} \ x = 3.5[/tex]
Colin rolls a fair dice and flips a fair coin.
What is the probability of obtaining a 3 and a tail?
Give your answer in its simplest form.
Answers
The probability of Colin getting a 3 on a die and a tail on a coin simultaneously is 1/12, obtained by multiplying the individual probabilities (1/6 for the die and 1/2 for the coin).
Explanation:The probability of obtaining a 3 when rolling a fair dice is 1/6, since a dice has 6 sides and only one of them is a 3. Similarly, the probability of obtaining a tail when flipping a fair coin is 1/2, because a coin has 2 sides, heads and tails.
The probability of both events happening (rolling a 3 and flipping a tail) is the multiplication of their individual probabilities. Hence, the probability is 1/6 times 1/2 equals 1/12.
So, the final simplified form of the probability of Colin rolling a 3 on a die and flipping a tail on a coin, according to the rules of probability, is 1/12.
To find the probability of rolling a 3 and flipping a tail, we need to determine the probability of rolling a 3 on the dice and the probability of flipping a tail on the coin, and then multiply these probabilities together. A fair dice has 6 equally likely outcomes, so the probability of rolling a 3 is 1/6. Similarly, a fair coin has 2 equally likely outcomes, so the probability of flipping a tail is 1/2. Multiplying these probabilities gives us (1/6) * (1/2) = 1/12. Therefore, the probability of obtaining a 3 and a tail is 1/12 in its simplest form.
Learn more about Probability here:https://brainly.com/question/32117953
#SPJ12
What is the range of y = sin θ
A. [-1, 1]
B. [0, infinite]
C. all real numbers
D. 2pi
Answers
Answer:
A
Step-by-step explanation:
range is the possible y values
sin x and cos x parent graphs all have range from [-1, 1].
factors a, b, c, d affect the graph of asin(bx+c)+d
since a and b = 1 and c and d = 0, the range is default [-1,1]
The population of a town is increasing at a rate of 2.8% per year. In 2001 the town had a population of 34,229. Find the population of the town in 2013
Answers
Answer:
The population of the town in 2013 is 47,677. (to the nearest whole number)
Step-by-step explanation:
To calculate this, we will compare the increase to the increase of the present value of an amount of money invested in 2001, increasing at an annual percentage rate of 2.8%, to yield the future value worth a certain amount in 2013. To calculate, the formula below is used:
FV = [tex]PV ( 1 + \frac{i}{n}) ^{n*t}[/tex]
where:
FV = Future Value = ???
PV = present value = 34,229
i = interest in decimal = 2.8% = 0.028
n = frequency of compounding period per year = 1
t = number of compounding years = 2001 to 2013 = 12 years.
FV = [tex]34,229(1+\frac{0.028}{1} )^{(1*12)}[/tex]
FV = 34,229 × (1.028)¹²
FV = 47,677.29 = 47,677 (to the nearest whole number)
The side lengths of a triangle are 12, 15, and 10 square root 3. Classify the triangle.
Answers
Answer: Scaline?
Step-by-step explanation:
The triangle having sides 12, 15 and 10√3 is a Scalene type triangle.
Thus, the triangle having sides 12, 15, and 10√3 is a Scalene type triangle.
Learn more about Scalene Triangles here:
https://brainly.com/question/16589630
#SPJ2
What are the zeros of the quadratic function f(x) = 2x2 + 16x – 9?
Answers
Answer:
there is one zero: 5/16
Step-by-step explanation:
i used photomath
Find the unknown side length, x. Write your answer in simplest radical form.
A. 24
B. 4 √ 37
C. 2 √ 154
D. 5 √ 117
PLEASE HELP!!
Answers
Answer:
b
Step-by-step explanation: i just took the test and B. is the correct answer
Answer:
(B) 4/37 is correct
Step-by-step explanation:
I got it correct on edge
What type of transformation maps AQRS to AQ'R'S'?
O
O
dilation
reflection
O
O
rotation
translation
Answers
The type of transformation maps AQRS to AQ'R'S' is rotation.
The following information should be considered;
A rotation is a type of transformation that takes each point in a figure and rotates it a specific number of degrees. The result of a rotation represent a new figure, called the image. The image is congruent to the original figure.Learn more: https://brainly.com/question/4626564?referrer=searchResults
To divide 14 2/3 divide by 2 3/4, Erik multiplied 14 2/3 times 4/3. Explain Erik's error.
Answers
Answer:
Erik should have divided 14 2/3 by 2 3/4, but instead he multiplied causing him to have a greater answer than 5 and 1/3
(give brainliest please)
which number doesn't belong?
9 16 25
43
Answers
Answer:
43
Step-by-step explanation:
Square root of 9 is 3
Square root of 16 is 4
Square root of 25 is 5
Square root of 43 is not a whole number.
Answer:
43
Step-by-step explanation:
The first three numbers are perfect squares:
9 = 3²
16 = 4²
25 = 5²
43 is not a perfect square.
The graph of the function f(x) = –(x + 6)(x + 2) is shown below.
Which statement about the function is true?
a) The function is increasing for all real values of x where
x < –4.
b) The function is increasing for all real values of x where
–6 < x < –2.
c) The function is decreasing for all real values of x where
x < –6 and where x > –2.
d) The function is decreasing for all real values of x where
x < –4.
Answers
Answer:
its A
Step-by-step explanation:
i got i right
Multiply (x−3)(x+2)
Answers
We FOIL, multiply firsts, outers, inners and lasts, and add them all up.
(x-3)(x+2) = x·x + 2x - 3x + (-3)(2) = x² - x - 6
Answer: x² - x - 6
Answer:
x^2 - x - 6
Step-by-step explanation:
(x - 3) (x + 2)
you can use the distributive property and multiplyfirst, you multiply the first x by the second x.that would be x^2.then, you multiply the first x by 2.which is 2x. by now you should have x^2 + 2x.now, you multiply -3 by the second x. this equals -3x.now, you have x^2 + 2x - 3x.next, you multiply -3 by +2.this would result in -6.now combine all of the solutions you got and you should have:x^2 + 2x - 3x - 6the last step is to combine like terms.x^2 is an only term, so leave that alone.+2x and -3x are like terms. so, you want to add these.that would remain as x^2 - xnow, -6 is an only term as well. so, just leave that in the end.in conclusion, your answer is x^2 - x - 6Fred sold half of his comic books and then bought 7 more. He now has
11. How many did he begin with ?
Answers
Answer:
8
Step-by-step explanation:
11-7=4
4x2=8
answer=8
He has 8 comic books before he sold any of his comic books.
The City Zoo has different admission prices for adults and children. When three adults and two children went to the zoo, the bill was $77.50. If two adults and three children got in for $70.00 then what is the price of an adult's ticket and what is the price of a child's ticket?
Answers
Answer:
The price of an adult's ticket is $18.5 and price of a child's ticket is $11.
Step-by-step explanation:
We are given the following in the question:
Let x dollars be the cost of an adult's ticket and y dollars be the cost of a child's ticket.
The cost of three adults and two children tickets is $77.50
Thus, we can write the equation:
[tex]3x + 2y = 77.50[/tex]
The cost of two adults and three children tickets is $70.00
Thus, we can write the equation:
[tex]2x+3y = 70[/tex]
Solving the two equations, we get
[tex]6x+4y-(6x+9y) = 155-210\\\Rightarrow -5y = -55\\\Rightarrow y = 11\\\Rightarrow 2x + 33 = 70\\\Rightarrow x = 18.5[/tex]
Thus, the price of an adult's ticket is $18.5 and price of a child's ticket is $11.