WZ←→ is tangent to circle O at point B.
What is the measure of ∠OBZ?
80º
90º
160º
180º
Answers
Answer:
The correct option is 2.
Step-by-step explanation:
Given information: WZ is tangent to circle O at point B.
According to the tangent of circle theorem: The tangent line is perpendicular to the radius at the point of tangency. It means the angle formed on the point of tangency by tangent and radius is a right angle.
Since WZ is tangent to circle O at point B and OB is radius, therefore
[tex]\angle OBZ=90^{\circ}[/tex]
Therefore correct option is 2.
The measure of angle ∠OBZ is 90°, as the tangent line to a circle at a point is perpendicular to the radius at that point.
Explanation:The question regards the measure of angle ∠OBZ where WZ↔ is tangent to circle O at point B. By a well-known theorem in geometry, a line tangent to a circle is perpendicular to the radius drawn to the point of tangency. Therefore, the measure of angle ∠OBZ, which is formed by the radius OB and the tangent line at B, must be 90°.
Related Questions
(02.01 LC) Solve: negative 1 over 2 x + 3 = −x + 7 (5 points) 1 over 2 8 −8 2
Answers
Answer:
2 8 -8 2
Step-by-step explanation:
The correct answer is [tex]-\frac{1}{2}x + 3 = -x + 7$ is $x = 8[/tex].
To solve the equation [tex]-\frac{1}{2}x + 3 = -x + 7[/tex], we can follow these steps:
Step 1: Combine like terms on both sides of the equation.
[tex]-\frac{1}{2}x + 3 = -x + 7[/tex]
[tex]\frac{1}{2}x - 3 = x - 7[/tex]
Step 2: Subtract [tex]x[/tex] from both sides to isolate the terms with [tex]x[/tex].
[tex]\frac{1}{2}x - 3 - x = -7[/tex]
[tex]-\frac{1}{2}x - 3 = -7[/tex]
Step 3: Add 3 to both sides to isolate the term with [tex]x[/tex].
[tex]-\frac{1}{2}x = -4[/tex]
Step 4: Multiply both sides by [tex]-2[/tex] to solve for[tex]x[/tex].
[tex]-2 \left(-\frac{1}{2}x\right) = -2(-4)[/tex]
[tex]x = 8[/tex]
Therefore, the solution to the equation [tex]-\frac{1}{2}x + 3 = -x + 7$ is $x = 8[/tex]
Which of the following situations models a geometric sequence? Select all that apply.
Answers
Answer:
Options 1, 3, 4.
Step-by-step explanation:
We will check each and every option given here.
1) Amount of cell phone users increases by 33% every year.
Its a geometric sequence because the number of users are increasing exponentially every year.
2) Amount of cakes in bake sale increases by 3 each year the fundraiser is held.
amount of cakes is increasing with a common difference of 3 so it's an arithmetic sequence.
3).Uranium loses half of its weight every 415 years.
Exponential decay in every 415 years. So geometric sequence with a common ratio of 1/2.
4).A family of rabbits doubles in size every 3 months.
Exponential series again so geometric sequence with a common ratio of 2.
5).Car drives at a constant speed of 58 mph.
Its a linear function representing an arithmetic sequence with a common difference of 58 mph.
6). Number of students increases by 122 every year.
An arithmetic sequence with a common difference of 122.
7). Number of pieces of chalk in a class room decreases by 10 throughout the school year.
It's an arithmetic sequence having common difference of 10.
Amount of cell phone users increase by 33% every year. Uranium loses half of its weight every 415 years. A family of rabbits doubles in size every 3 months. Then the correct options are A, C, and D.
What is a geometric sequence and how to find its nth terms?Suppose the initial term of a geometric sequence is a and the term by which we multiply the previous term to get the next term is r.
Then the sequence would look like
a, ar, ar², ar³,..... (till the terms to which it is defined)
Amount of cell phone users increase by 33% every year.
It's a geometric sequence because the number of users is increasing exponentially every year.
Uranium loses half of its weight every 415 years.
Exponential decay every 415 years. So geometric sequence with a common ratio of 1/2.
A family of rabbits doubles in size every 3 months.
Exponential series again so geometric sequence with a common ratio of 2.
Then the correct options are A, C, and D.
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NEED HELP ASAP
What are the restrictions of:
(n^2 -6) / (n^2 -2)
5 and 2
+/- SQRT5 and +/- SQRT2
5 and -2
Answers
We have then that in this case the values are:
(n ^ 2 -2) = 0
Clearing n we have:
(n ^ 2) = 2
n = + / - sqrt (2)
Answer:
the restrictions are:
n = + / - sqrt (2)
Melina has 4 sheets of wacky face sticker individually from the sheet. She then divides them evenly into 3 piles to give to friends. How many stickers are in each pile?
Answers
SEE THE ATTACHED IMAGE.
For this case what we must do is first find the total number of stickers.
We have then:
(4) * (24) = 96
Then, we must organize the stickers in three piles.
We have then:
(96) / (3) = 32
Answer:
in each pile are 32 stickers
The answer explains how to divide 4 stickers into 3 piles, resulting in 1 sticker each.
To find out how many stickers are in each pile:
Count the total number of stickers = 4 sheets x 1 sticker per sheet = 4 stickers.Divide the total number of stickers evenly into 3 piles: 4 stickers ÷ 3 piles = 1 sticker in each pile.What is the area of this triangle A=bh2
Answers
where b is the base and h is the height
base = 6 in and height = 8 in
Area = 1/2 ×6×8
= 24 square inches
Therefore, the area of the triangle is 24 square inches
[tex]we \: know \: that \: \: , \\ \\ area \: of \: triangle \: = \frac{1}{2} \times base \times height \\ \\ or \: ,area \: of \: triangle \: = \frac{1}{2} \times base \times perpendicular \\ \\ here \: , \\ base = 6 \: in \\ perpendicular = 8 \: in \\ hypotenuse = 10 \: in \: \\ \\ therefore \: \: , \: \\ area \: of \: triangle \: = \frac{1}{2} \times 6 \times 8 \\ \\ = 24 \: {in}^{2} \: \: \: \: \: ans.[/tex]
Let A = 40. If B is complement of A, and C is a supplmenet of B, what is B+C?
A. 60
B. 150
C. 180
D. 210
Answers
Explanation:
Complementary angles add upto 90 degrees and supplementary angles add to 180 degrees
Given A=40
B = Complement of A =90-40 =50
C = Supplement of B = 180-50 =130
Therefore B+C = 50 +130 =180.
Sandra got a 3/27 balloon mortgage and her initial payments were $945. She decided to refinance her balloon payment with a 30-year mortgage and her new payments were $937. What is the total financed cost she paid for her house?
Answers
Sandra got a 3/27 balloon mortgage and her initial payments were $945.
This means Sandra paid $945 per month for 3 years. Total payment made in 3 years = 945*3*12 = $34,020
Later, she decided to refinance her balloon payment with a 30-year mortgage. Her new payments were $937.
Payment made under mortgage = 937 * 30 * 12 = $337,320
The total financed cost she paid for her house = $34020 + $ 337320 = $371340
Hope this helps..!!
Thank you :)
Write two operations in order that you would use to solve the equation 3x - 2=7 then solve the equation
Answers
3x = 7 + 2
3x = 9
x = 9/3
x = 3
You first subtract 2 from both sides, so 2-2=0 & 7-2=5
3x=5
Then you divide 3 from both sides to get “X” alone, 3x/3= 1x (but the the one is invisible so it equal “X”) and then 5/3= 1.66666..
So the answer to this problem is
X=1.6
You are working on a proof. You know that A and B are on the perpendicular bisector of CD. What can you conclude? A) AC = BD B) CB = AD C) AC = AD D) AB = CD
Answers
Its C
m ∠ U = (2x−5)° and m ∠W = (x+38)°What is m ∠W?
Question 1 options:
49°
180°
87°
90°
Answers
m∠U+m∠W=180
(2x-5)+(x+38)=180
3x+33=180
3x=180-33
3x=147
x=147/3
x=49
m∠W=x+38=49+38=87°
Four bars of soap cost $1.12. What would you pay for 2 dozen bars? (1 dozen=12)
Answers
Multiply the above equation by 6.
24 bars = $6.72 . . . . . . the cost for 2 dozen bars.
The perimeter of an isosceles triangle is 14 cm. One of its sides is twice longer than another of its sides. Find all sides of the triangle.
Answers
The side that is twice longer than another side make it equal 2*a.
So the total of the 3 sides would equal 14
4a = 14
So 2 sides = 3.5 and the third side = 7.
3.5 + 3.5 + 7 = 14
Answer:
Step-by-step explanation:
2.8, 5.6, 5.6
The circus is coming to town. Cindy is selling tickets. The first day she sold 8 adult tickets and 5 children tickets for a total of 177.50 in sales. The second day she received $255.00 for 12 adult tickets and 6 children tickets.
Answers
8a+5c=177.50 -> 24a+15c=532.5
12a+6c=255.00 -> 24a+12c=510
24a+15c-24a-12c=532.5-510
3c=22.5
c=7.5
a=17.5
Jordan is 4 feet 8 inches tall, her mother is 5 ft 10 inches tall, how much taller is Jordan's mother than Jordan? Give your answer in feet and inches.
Answers
WILL GIVE BRAINLIEST ANSWER!!! PLEASE HELP!!! 12 POINTS!!!!!!!
The formula for the volume, V, of a right rectangular pyramid is one-third its base length, l, times its base width, w, times its height, h. Which of the equations below are equivalent to the formula described?
-----Note: more than one must be used-----
ANSWER OPTIONS:
* l = V over 3hw
* w = V over 3lh
* l = 3V over wh
* h = 3Vl over w
* w = 3V over lh
* h = V over 3lw
Answers
h l w = 3V
l = 3V / w h Which is the third choice.
h = 3V / l w
w = 3V / h l - which is the fifth choice
The third and fifth are equivalent to the formula described.
Triangle ABC is similar to triangle FGH. Angle A measures 42 degrees. Angle B measures 19 degrees. Find the measure of angle H.
42
19
119
29
Answers
Let's find the angle C:
∠C=180-42-19=119
Then ∠H=119
Answer: 119 degrees
f(x)=9x^3+2x^2-5x+4 and g(x)=5x^3-7x+4 what isf(x)-g(x)
Answers
f(x) - g(x) = 4x³ + 2x² + 2x
Explanation:
We are given that:
f(x) = 9x³ + 2x² - 5x + 4
g(x) = 5x³ - 7x + 4
We want to get the value of f(x) - g(x). This means that we will simply subtract g(x) from f(x) as follows:
f(x) - g(x) = 9x³ + 2x² - 5x + 4 - (5x³ - 7x + 4)
f(x) - g(x) = 9x³ + 2x² - 5x + 4 - 5x³ + 7x - 4
f(x) - g(x) = 9x³ - 5x³ + 2x² - 5x + 7x + 4 - 4
f(x) - g(x) = 4x³ + 2x² + 2x
Hope this helps :)
1. J. Cole is a successful Hip-Hop recording artist. He has a record contract that pays him $20,000 a month plus an additional $12 for each album that he sells. Last month he earned $24,800. Write an equation to express the money J. Cole earned last month. Let "x" represent the number of albums.
2. How many albums did J. Cole sell last month?
Answers
Payment per album = $12
Total earned last month = $24,800
Part (a): Expression for money earned last month
Let x be number of albums last month. Then,
Total earning = Fixed payment + Variable payment
That is,
24,800 = 20,000 + 12*x
24,800 = 20,000 + 12x
Part (b): Number of albums last month
This involves solving for x in the expression derived in part (a) above.
24,800 = 20,000 + 12x
24,800 - 20,000 = 12
12x = 4,800
x = 4,800/12 = 400 albums
Which graph shows a proportional relationship? help!!
Answers
which cream cheese has the lowest price per ounce?
A: $2.59 for 6oz
B: $2.89 for 8 oz
C: $4.29 for 12 oz
D: $5.29 for 14 oz
Answers
Answer:the correct answer is $4.29 for 12 oz.
Step-by-step explanation:
The cream cheese which has the lowest price per ounce is the one which is $4.29 for 12 oz. Thus, the correct option is C.
What is Ounce?The ounce is any of the several different units of mass, weight or volume and it is derived almost unchanged from the uncia, unit of measurement.
The ounce is 1/16 avoirdupois pound. This is the United States customary and British imperial ounce. Ounce is primarily used in the United States to measure packaged foods and food portions, areal density of fabric and paper, boxing gloves, and so on, but it is sometimes also used elsewhere in the Anglosphere.
The price for per ounce of different cream cheese will be:
a. 2.59/ 6 = 0.431
b. 2.89/ 8 = 0.361
c. 4.29/ 12 = 0.357
d. 5.29/ 14 = 0.377
Therefore, the cream cheese which has the lowest price per ounce is the one which costs $4.29 for 12 oz.
Therefore, the correct option is C.
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Find the area of the triangle. Round the answer to the nearest tenth.
A.
7.8 square units
B.
8.9 square units
C.
19.3 square units
D.
38.5 square units
Answers
So the closest answer is C. 19.3
Hope this helps :)
Answer:
19.3 square units .
Step-by-step explanation:
∠D=∠F=52°
Opposite sides of equal angles are equal .
So, DE=EF =6.3
Now sum of all angles of triangle is 180°
So, ∠D+∠F+∠E = 180°
52°+52°+∠E =180°
104°+∠E =180°
∠E =180°-104°
∠E =76°
Now to find the length of DF we will use law of cosines
[tex]c^2=a^2+b^2+2(a)(b) Cos E[/tex]
[tex]DF^2=DE^2+EF^2+2(DE)(EF) Cos E[/tex]
[tex]DF^2=6.3^2+6.3^2+2(6.3)(6.3) Cos 76^{\circ}[/tex]
[tex]DF^2=79.38+79.38 (0.2419)[/tex]
[tex]DF^2=98.582[/tex]
[tex]DF=\sqrt{98.582}[/tex]
[tex]DF=9.9[/tex]
Now we are supposed to find the area of triangle
To calculate the area of given triangle we will use the heron's formula :
[tex]Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where [tex]s = \frac{a+b+c}{2}[/tex]
a,b,c are the side lengths of triangle
Now substitute the values :
[tex]s = \frac{6.3+6.3+9.9}{2}[/tex]
[tex]s =11.25[/tex]
[tex]Area = \sqrt{11.25(11.25-6.3)(11.25-6.3)(11.25-9.9)}[/tex]
[tex]Area = 19.2907[/tex]
Hence the area of the triangle is 19.2907 ≈19.3 square units .
John bought 6 dumplings for $3.00.
Let x represent the number of dumplings purchased, and let y represent the total cost.
Graph the line that represents the proportional relationship.
Answers
Find two consecutive integers whose product is 24 more than three times the first integer
Answers
x+1= second consecutive integer
Product means multiply, so we'll multiply x by x+1. More than means to add and 3 times is multiplication.
x(x + 1)= 3x + 24
use distributive property to multiply x by everything in parentheses
(x*x) + (x*1)= 3x + 24
x^2 + x= 3x + 24
subtract 3x from both sides
x^2 - 2x= 24
subtract 24 from both sides
x^2 - 2x - 24= 0
factor the expression
(x-6)(x+4)= 0
x-6=0
x=6
x+4=0
x=-4
If x= 6 is the first integer, x+1= 7 is the second integer
If x= -4 is the first integer, x+1= -3 is the second integer
Hope this helps! :)
Factor x2 – 3x – 28. Identify the values that should be written to complete the X diagram. On the top: On the bottom: On the sides: Rewrite the expression using the numbers on the sides of the X diagram. Use double grouping to factor the four terms. x2 – 3x – 28 =
Answers
= x^2 -7x +4x -28
= x(x -7) +4(x -7)
= (x +4)(x -7)
-28
-3
-7 and 4
(x-7)(x+4)
Part 1.] Find the value of x in [tex]4,000( 1.5^{x})=25,000[/tex]. Show your work.
Part 2.] Use the domain {½ , 1, 2, 4, 8} to plot the points on the graph for the given equation. The grid marks represent one unit, the horizontal red line represents the x-axis, and the vertical red line represents the y-axis. [tex]y= log_{2} x[/tex]
Answers
[tex] \frac{4000(1.5^{x}) }{4000} = \frac{25000}{4000} [/tex]
[tex]1.5^{x} = \frac{25}{4} [/tex]
Now we can use logarithms to bring down the variable:
[tex]ln(1.5^{x} )=ln( \frac{25}{4}) [/tex]
[tex]xln(1.5)=ln( \frac{25}{4}) [/tex]
[tex]x= \frac{ln( \frac{25}{4}) }{ln(1.5)} [/tex]
[tex]x=4.52[/tex]
Part 2. Lets use the domain (x values) to find the range (y values):
[tex]log_{2} (\frac{1}{2})=-1 [/tex]
[tex]log_{2} (1)=0 [/tex]
[tex]log_{2} (2)=1 [/tex]
[tex]log_{2} (4)=2 [/tex]
[tex]log_{2} (8)=3 [/tex]
Finale lets put the points together and draw our graph:
Please help if you do not know the answer don’t comment in the answer box just for points
The box plots show the distributions of daily temperatures, in °F, for the month of January for two cities.
Which statements are true about the distributions? Check all that apply.
a. Both distributions are symmetric.
b. Both distributions are skewed right.
c. Both distributions are skewed left.
d. The mean and standard deviation would be the best measures to compare the data.
e. The median and IQR would be the best measures to compare the data.
Answers
Hey, the answers are
Both distributions are skewed right.
The median and IQR would be the best measures to compare the data.
That is B and E
Which example best represents balanced forces
Answers
The forces are equal and opposite, the book remains at rest, representing a state of balanced forces.
Balanced forces occur when the net force acting on an object is zero, meaning that the forces are equal in magnitude and opposite in direction. As a result, the object remains in a state of equilibrium and does not accelerate.
One example that best represents balanced forces is:
A book resting on a table.
When a book is placed on a table, it doesn't move because the force of gravity pulling it down (its weight) is balanced by the normal force exerted by the table, pushing the book upward.
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Average Monthly Temperature Month Temperature January 45 degrees February 42 degrees March 54 degrees April 62 degrees May 78 degrees June 85 degrees July 92 degrees August 94 degrees September 89 degrees October 78 degrees November 65 degrees December 54 degrees The average monthly temperatures for the city of Mathville are given in the chart above. One year was particularly warm, and the average temperature each month increased by 5°. What did this do to the average yearly temperature? A) The average remained the same. B) The average increased by 5°. C) The average decreased by 5°. D) The average increased by 60°.
Answers
x------------> the average yearly temperature
if One year was particularly warm, and the average temperature each month increased by 5°
in one year the temperature increased------->5*12-----> 60°
so
[the new average yearly temperature]=x+(60)*12-------> x+5°
therefore
the answer is the option
B) The average increased by 5°.
Solve the system of equations using the linear combination method.
{5m+3n=41
3m−6n=9
Enter your answers in the boxes.
m =
n =
Solve the system of equations using the linear combination method.
{6g+8h=40
−6g+2h=−20
Enter your answers in the boxes.
g =
h =
Solve the system of equations using the linear combination method.
{9x+5y=35
2x+5y=0
Enter your answers in the boxes.
x =
y =
Answers
3m-6n=9 (multiplying the first equation by 3 and the second by 5), we get;
15m+9n=123
15m-30n= 45 (subtracting the two equations)
39n = 78
n = 2, and
to get m we substitute n with 2
3m = 9+6(2)
3m = 21
m = 7
Therefore, n=2 and m=7
2. 6g +8h=40
-6g +2h = -20(Adding the two equations to eliminate g)
10 h= 20
h =2
to get g we substitute h with two
6g= 40- 8(2)
= 24
g= 4
Therefore, g =4 and h =2
3. 9x +5y =35
2x + 5y =0 (subtracting the two equations to eliminate y)
7x =35
x= 5
To get y we substitute x with 5
5y=35-9(5)
5y = -10
y = -2
Therefore, x=5 and y=-2
Answer:
1. n=2 and m=7
2. g =4 and h =2
3. x=5 and y=-2
Step-by-step explanation:
I took the test
Serena paid $194.99 for a game system and then bought two equally-priced games. If she spent a total of $284.97, what is the price, p, of one game? Enter your answer in the box.
Answers
$89.98 / 2 = $44.99
Serena bought two equally priced game at a price of $44.99 each and the total money spent in buying all three games is $284.97.
Given information:
The price Serena paid for buying the first game is $194.99
The overall price Serena paid for buying three games is $284.97
Let, the price of one of the two equally priced game is [tex]\bold{P}[/tex]
As, the price of second and third game is equal, we can consider the combined price of second and third game.
Thus , the equation formed according to the information given in the question is:
[tex]\bold{194.99+2P=284.97}[/tex]
Solve, the above equation in order to find the price of one game.
[tex]2P=284.97-194.99\\\2P=89.98}\\{P=44.99}[/tex]
Hence, the price of one game in two equally priced game is $44.99
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