Step-by-step explanation:
x:y=3:7
x+y=180
3+7=10
180/10=18
to find x
18*3=54
x+10+z=180
54+10+z=180
64+z=180
z=180-64
z=116°
The measure of angle z of the cyclic quadrilateral will be 116 degrees.
What is a cyclic quadrilateral?If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.
A cyclic quadrilateral is shown.
x / y = 3 / 7
y = 7x / 3
We know that the sum of the opposite angles of the cyclic quadrilateral is 180 degrees. Then the equation will be
x + y = 180°
x + 7x/3 = 180°
10x/3 = 180°
x = 54°
Then another equation is given as,
x + 10° + z = 180°
54° + 10° + z = 180°
z = 116°
The measure of angle z of the cyclic quadrilateral will be 116 degrees.
More about the cyclic quadrilateral link is given below.
https://brainly.com/question/15061291
#SPJ2
The complete question is attached below.
One tool used in genetics is called a pedigree chart,are there any advantages to using this tool?The population of a city is increasing at a rate of 4% each year. In 2000, there were 236,000 people in the city. Write an exponential growth function to model this situation. Then find the population in 2009.
Answer:
A = 236,000 (1.04)^t
population in 2009 : 335,902 people
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form) = 4/100 = 0.04
t= years passed from 2000
A = population after t years
Replacing with the values given:
A = 236,000 (1+ 0.04)^t
A = 236,000 (1.04)^t
Population in 2009.
t = 2009-2000 = 9
A = 236,000 (1.04)^9
A = 335,902 people
Feel free to ask for more if needed or if you did not understand something.
3.
The pair of figures is similar. Find x. Round to the nearest tenth if necessary.
18 ft
0%
8 ft
2 ft
Drawing not to scale
0%
4.5 ft
Answer:
4.5 ft
Step-by-step explanation:
Given that the two fugures in the question above are similar, it means they have the same shape, even though they are if different sizes, the ratio of their corresponding sides are proportional. Thus,
18/x = 8/2
Let's solve for x as required.
We have,
18/x = 8/2
=>Cross multiply:
18 × 2 = 8 × x
36 = 8x
=>Divide both sides by 8
36/8 = x
4.5 = x
x = 4.5 ft
The first option is our answer = 4.5 ft
HELPPPP PLEASE To make an international telephone call, you need the code for the country you are calling. The codes for country A, country B, and C are three consecutive integers whose sum is 78. Find the code for each country.
Answer:
25, 26, 27
Step-by-step explanation:
78/3=26, so one number is 26 and the other numbers have to equal 52, so the numbers have to either be 24,25,27,28. 25+27=52,
The codes for each country are 25, 26 and 27.
What are integers?Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."
Let three consecutive integers are n-1, n, n+1.
Then,
the sum of three consecutive integers is 78.
According to the question,
n - 1 + n + n + 1 = 78
3n = 78
n = 26
The integers are 25, 26 and 27.
Therefore, integers are 25, 26 and 27.
To learn more about the integers;
brainly.com/question/1768254
#SPJ2
Xavier and Jeanine each worked a shift today, selling tickets to the school fair for $ 12
each. Xavier worked the first shift. During Jeanine's shift, she sold 8 tickets. At the end
of the day, the total amount of money from tickets sold was $240. Which equation could
be used to determine x, the number of tickets Xavier sold ?
A. 12(X + 8) = 240
B. X(12 + 8) = 240
C. 12 + 8x = 240
D. 12x + 8 = 240
Answer: 12(X+8)=240
Step-by-step explanation: We then would have to do the distributive property and you end with 12x+96=240
Subtract 96 from each side
Then you end with
12x=144
You then divide 12 from each side and see that X=12!
Hope this helps
P.S. It would mean a lot if you marked brainliest
Dya had an account balance of $532.00 in her checking account. Over the next month, she deposits $210.00, pays her annual credit card fee of $25.00, and makes ATM withdrawals of $300.00 and $60.00 from an ATM that charges a $2.50 fee per transaction. What is her account balance at the end of the month?
Enter your answer as a dollar amount, such as: $21.00.
Phil starts with gallons of gas in his tank,
Phil uses
of the gas and then fills the tank with 5 gallons.
Which expression represents the amount of gas now in his tank
Mindy used 160 beads to make 25% of the bracelets needed for her friends. How many bracelets does she need to make all her friends bracelets?
Answer:
640
Step-by-step explanation:
160=25%
25 times 4=100
therefore 160 times 4=100%
simplify (3x^2)^6 PLZ I NEED IT FAST! I WILL GIVE BRAINLIEST!
Answer:
729x^12
Step-by-step explanation:
3x^2*3x^2*3x^2*3x^2*3x^2*3x^2
A stack of boards is 6 ft. high. Each board is 4 in. thick. How many boards are in the stack?
Answer:
18 Boards
Step-by-step explanation:
Convert 6ft into inches,
[tex]6*12=72[/tex] (inches high stack)
Divide the result by four (the height of each board),
[tex]72/4=18[/tex]
Tony has 2/4 of a bag of dark chocolate chips and 4/5 of a bag of white chocolate chips. determine a reasonable estimate of the total amount of chocolate chips Tony has.
Answer:
about 1 and 3/10
Step-by-step explanation:
i may be wrong
tell me if i am wrong
sorry
Find the distance between the complex numbers. z1 = 9 - 9i z2 = 10 - 9i
Answer:
The distance between the two given complex numbers = 9
Step-by-step explanation:
Explanation:-
Step(i):-
Given Z₁ = 9 - 9 i and Z₂ = 10 -9 i
Let A and B represent complex numbers Z₁ and Z₂ respectively on the argand plane
⇒ A = Z₁ = x₁ +i y₁ = 9 - 9 i and
B = Z₂ = x₂+ i y₂ = 10 -9 i
Let (x₁ , y₁) = ( 9, -9)
(x₂, y₂) = (10, -9)
Step(ii):-
The distance between the two points are
A B = [tex]\sqrt{(x_{2} - x_{1})^{2}+(y_{2} - y_{1})^{2} }[/tex]
A B = [tex]\sqrt{(10 - 1)^{2}+(-9 - (-9))^{2} }[/tex]
AB = [tex]\sqrt{(9)^{2} +(-9+9)^{2} }[/tex]
AB = √81 = 9
Conclusion:-
The distance between the two given complex numbers = 9
Answer:
1
Step-by-step explanation:
Just finished Quiz 4: Complex Numbers, of which this was one of the questions.
Solve for a. ab+ c =d
Answer:
[tex]\frac{-c+d}{b}[/tex]
Step by Step:
Step 1: Subtract c from both sides:
ab + c + (−c) = d + (−c)
ab = −c + d
Step 2: Divide both sides by b:
[tex]\frac{ab}{b} = \frac{-c+d}{b}[/tex]
Step 3: Simplify:
a = [tex]\frac{-c+d}{b}[/tex]
PLZ helppppppppp will mark of brainlest Each unit on the graph is equal to 1 block.
How many blocks does Ben need to walk from his house to reach the supermarket? A. 4 blocks B. 5 blocks C. 7 blocks D. 9 blocks
Answer:
9 blocks
Step-by-step explanation:
The answer is D, 9.
Just count the blocks.
The lunch lady has 4 pounds of lasagna. If she makes 1/3-pound servings using this amount of lasagna, how many servings can she make?
Your mom is taking you shopping at the mall. She has $78 to spend on you. You already know that $18 of that money is for your school backpack. You need to get 2 shirts and 2 pairs of pants for your school uniform. The pants and the shirts cost the same amount for each. How much does each shirt or pair of pants cost?
Answer:
each coat $15
Step-by-step explanation:
$78-$18 divided by 4 =15
hope this helps :)
Answer:
The answer is that each shirt and pair of pants costs 15$
Step-by-step explanation:
So you have 78$, and you already need to buy a backpack so then you have 60$ dollars because the backpack is 18$, and 2 shirts and 2 pairs of pants is 4 pieces of clothing in all, 60$ divided by 4 pieces of clothing equals 15$ per piece of clothing (78 - 18 = 60 divided by 4 = 15)
Given l\\m and m<1= <60 and m1 = 60°, select all angles that are also equal to 60°.
8
2
6
7
5
4
Answer:
Angle 2, angle 3 and angle 4 will measure 60°
Step-by-step explanation:
From the figure attached,
'l' and 'm' are parallel lines and 't' is the transverse line.
m∠1 = m∠2 = 60° [Vertical angles]
m∠1 = m∠3 = 60° [Corresponding angles]
m∠1 = m∠4 = 60° [Alternate exterior angles]
Therefore, angle 2, angle 3 and angle 4 will measure the same as angle 1.
given:F(x)=2x and G(x) =X^2+2 find F/G(-1) A)-2/3
B)-2
C)2/3
Answer:
A) -2/3
Step-by-step explanation:
To find the answer look at what it's asking you to do. (f/g) means to divide f(x) by g(x).
[tex](f/g)(x)=\frac{2x}{x^2+2}[/tex]
Now you need to find (f/g)(-1). Plug in -1 wherever there is an x and simplify.
[tex](f/g)(-1)=\frac{2*-1}{(-1)^2+2}\\ (f/g)(-1)=\frac{-2}{1+2}\\ (f/g)(-1)=\frac{-2}{3}[/tex]
Your answer is -2/3
c. Based on these definitions, if you were given that f(2) = 17, what would the value of f-1(17) be? Explain your answer.
Answer:
-8.5
Step-by-step explanation:
17/2 = 8.5
f = 8.5
f -1(17) = 8.5 -17 = -8.5
-8.5 is your answer
The value of [tex]f^{-1}(17)[/tex] is 2.
How to find the value of any inverse Function in x -From the definition of function we know that if f(x) = y , where x and y are two real values having range of (-∝,+∝) , then
[tex]f^{-1}(y) = x[/tex]
Thus in the problem, it is given that f(2) = 17 .
Using the above identity, we can find the value of [tex]f^{-1}(17)[/tex]
∴ [tex]f^{-1}(17) = 2[/tex]
To learn more about properties of function, refer -
https://brainly.com/question/11624077
#SPJ2
he curb weight of a new car is 3,347 pounds. How much does the car weigh?
Answer:
Step-by-step explanation:
I think it is 3,347. Because the curb weight is just the car without humans
Given that the curb weight of a new car is = 3347 pounds
Now we have to find the correct choice for the given weight of the car.
Given value is in pound while the choices are in ton.
Units are different so first task will be to get same units.
We know that 1 ton = 2000 pound
so to convert 3347 pound into ton, we will divide 3347 by 2000 and get 1.6735 ton.
Which lies between 1 and 2.
Hence final answer will be (c) between 1 and 2 tons.
Eleven students are competing in an art contest. In how
many different ways can the students finish first,
second, third, and fourth?
Hi there
I think I may have the answer for you!
Answer:
A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle. It is always parallel to the third side, and the length of the midsegment is half the length of the third side.
Please make sure to check my answer and mark it/
Jake
There are 7,920 different ways can the students finish first, second, third, and fourth.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Eleven students are competing in an art contest.
Now,
Since, Eleven students are competing in an art contest.
Hence, We get;
Number of ways = 11 x 10 x 9 x 8
= 7,920
Thus, There are 7,920 different ways can the students finish first, second, third, and fourth.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Find the circumference of a circle with a diameter of 15 inches... Round to the nearest tenth and include units in your answer... SHOW WORK
Answer:
47. 1 inches ; where inches ⇒ units
Step-by-step explanation:
Consider the Circumference as such;
[tex]Diameter - 15 inches,\\Circumference - 2\pi r, r - radius,\\\\2\pi r = \pi d, d - diameter ( considering, 2 * r = diameter )\\\\Circumference = \pi * d = \pi * diameter = \pi * 15 = ( About ) 47.1 inches\\Solution; Circumference = ( About ) 47.1 inches[/tex]
From this we can tell that ⇒ Answer; 47. 1 inches, where inches - units
Answer:
47. 1
Step-by-step explanation:
The equation for the circumference of a circle is C = pi X diameter.
All of the following are equivalent to 3:8 = x : 32 except
8 : 3 = 32 : x
3 : x = 8 : 32
x : 8 = 3 : 32
8 : 32 = 3 : x
Answer:
3:8=x:32
Step-by-step explanation:
3:8=x:32, x=12
but in x:8=3:32 x=0.75
I keep getting 13.4 which I'm not sure is right.
Answer:
Correct
also can u mark as brainliest Please I just need one moreeee
Step-by-step explanation:
Determine the area of the parallelogram
below.
8 cm
2.8 cm
Answer:
22.4 cm^2
Step-by-step explanation:
Area of a parallelogram= base x height
or bxh
here base is 8cm and height is 2.8cm so,
Area = 8x2.8
= 22.4 cm^ 2
The circle shown below has a diameter of 22 centimeters. What is the
approximate area of the shaded sector?
A. 317 cm2
B. 1204 cm2
o
C. 301 cm2
D. 602 cm2
2859
Answer: c. 301 cm2
Step-by-step explanation: a p e x
Explain how you can solve the following scenario in two different ways. I owe my friend $16 and my mom owes me $25. how much money will I have after all is settled?
Answer:
$9
Step-by-step explanation:
Given I owe my friend $16 and my mom owes me $25
step 1-->take back money from mom
Mom gives back you $25
Now you have $25
Step 2: return the money you owe to friend
you owe $16
You have $25 and return $16
Thus , money you will have = money you have - money you return
money you have = $25 - $16 = $9
Thus, you will have $9 , after all is settled.
Can someone help please?
Answer:
One sec
Step-by-step explanation:
Answer:
Step-by-step explanation:
y-4x=1
it crosses y-axis where x=0
y-4(0)=1
y=1
so point is (1,0)
y=2x+c
∵(0,-3) lies on it.
-3=2(0)+c
c=-3
so y=2x-3
∵(k,10) lies on it.
10=2k-3
2k=13
k=13/2
Can someone please answer?
Answer:
I think it's <-3,-5>
also, you may want to delete the picture somehow since your email address is showing in you top tabs...
Consider the function.
What is the x-intercept of f-^1(x)?
Answer:
(2 1/2, 0)
Step-by-step explanation:
In the picture attached, the complete question is shown.
f(x) = 2 1/2 - 3 1/3 * x
or
f(x) = 5/2 - (10/3)*x
f^-1(x) is the inverse of f(x), which is obtained replacing f(x) by x, and x by y, and solving for y, as follows:
x = 5/2 - (10/3)*y
(10/3)*y = 5/2 - x
y = (5/2)*(3/10) - x*(3/10)
y = (3/4) - (3/10)*x
f^-1(x) = (3/4) - (3/10)*x
at x-intercept, f^-1(x) = 0,
(3/4) - (3/10)*x = 0
(3/4) = (3/10)*x
x = (3/4)*(10/3)
x = 5/2 or 2 1/2
Answer:
d - (2 1/2,0)
Step-by-step explanation:
got it right on edge
In the decimal number 2.693, what number is in the hundredths place?
Answer:
9 in hundredths place
Step-by-step explanation:
2.693 count from 6 in tenth and 9 in hundredths
Answer:
9
Step-by-step explanation:
2.693
2 is the ones place
the . is the decimal point
6 is the tenths place
9 is the hundredths place
3 is the thousandths place