Can somebody teach me inscribed angles! My 40 question summarize on circles in geometry is today and I need help on everything!
Answers
Inscribed angles are pretty easy, they're always half the corresponding central angle. The arc measure are always of central angles.
1. We're told to arc is 62 degrees so the inscribed angle is half,
WXY = 31 degrees.
2. Here we're told the inscribed angle is 113 degrees so the arc is double,
DGF=226 degrees
3. Angles which subtend a diameter are always right angles.
PQR = 90 degrees
4. If we draw DC we see it's a radius too, so DC=DB and we have an isosceles triangle so DCB=47 degrees so BDC=180-47-47=86. The central angle is the arc measure so
BC=86 degrees
5. Angle JNK=53 degrees and angles NJK=NKJ because we have an isosceles triangle, two sides radii. So NKJ=(180-53)/2.
Similarly NKL=(180-65)/2
So angle JKL=NKJ+NKL=180 - (65+53)/2 = 180 - 118/2 = 121 degrees
I better leave the rest for you.
An inscribed angle is formed by two secant lines intersecting on a circle's circumference and is half the measure of the central angle intercepting the same arc. Fundamental theorems like the Pythagorean theorem and mnemonic SOHCAHTOA are important in geometry, especially when dealing with circles and triangles.
Explanation:An inscribed angle is formed when two secant lines of a circle intersect on the circle's circumference. The value of an inscribed angle is always half the measure of the central angle that intercepts the same arc.
This is a foundational concept in geometry that is often linked to other geometric properties and theorems, such as the relationship between angles and arcs, and the behavior of angles within and outside of circles.
Knowing how to work with inscribed angles is crucial, particularly when dealing with problems involving circles.
For example, if you know the measure of the central angle, you can easily find the inscribed angle by dividing the central angle by 2. Recall other basic geometrical facts, such as the Pythagorean theorem, which states that in a right triangle, a² + b² = c² (where c is the hypotenuse), and the mnemonic SOHCAHTOA which helps remember the relationships of sides and angles in right triangles.
To help visualize these concepts, sketching triangles and remembering that the angles of a triangle sum up to 180 degrees can be helpful. Plane geometry forms the basis for understanding these principles, which is essential in tackling more advanced problems in circles and other geometric figures.
Related Questions
Help me please asappp!!!!
Answers
ANSWER
When x=1, [tex]y =2{x}^{2} [/tex] is 2
and [tex]y = {2}^{x} [/tex] is 2
When x=2, [tex]y =2{x}^{2} [/tex] is 8
and [tex]y = {2}^{x} [/tex] is 4
EXPLANATION
The given functions are:
[tex]y =2{x}^{2} [/tex]
and
[tex]y = {2}^{x} [/tex]
We want to find the functional values for the given x-values.
When x=1,
[tex]y = 2( {1})^{2} = 2[/tex]
and
[tex]y = {2}^{1} = 2[/tex]
When x=2,
The first function gives us:
[tex]y = 2 {(2)}^{2} = 8[/tex]
and the second function gives
[tex]y = {2}^{2} = 4[/tex]
Answer:
For the function [tex]y=2x^2[/tex]:
[tex]y=0\\y=2\\y=8[/tex]
For the second function [tex]y=2^x[/tex]:
[tex]y=1\\y=2\\y=4[/tex]
Step-by-step explanation:
You only need to make the following substitution:
For the first function [tex]y=2x^2[/tex]:
When [tex]x=0[/tex]
[tex]y=2x^2\\ y=2(0)^2\\ y=0[/tex]
When [tex]x=1[/tex]
[tex]y=2(1)^2\\ y=2(1)^2\\ y=2[/tex]
When [tex]x=2[/tex]
[tex]y=2x^2\\ y=2(2)^2\\ y=2*4\\ y=8[/tex]
For the second function [tex]y=2^x[/tex]:
When [tex]x=0[/tex]
[tex]y=2^x\\ y=2^0\\ y=1[/tex]
When [tex]x=1[/tex]
[tex]y=2^x\\ y=2^1\\ y=2[/tex]
When [tex]x=2[/tex]
[tex]y=2^x\\y=2^2\\ y=2^2\\ y=4[/tex]
Please help me! I do not understand one of the questions and it would be outstanding if you could help me! I'm sorry if I seem a little desperate, I've been working on this quiz for the past hour.
Dan wants to arrange his red, blue, and green bags in a row on a shelf, where R is red, B is blue, and G is green. Which tree diagram best shows the sample space of all the possible ways to arrange the three bags in a row on a shelf?
Option one: A tree diagram is shown. The lines branch out to R, B, and G. In the first row, the lines branch out from R to B to G and from R to G to R. In the second row, the lines branch out from B to R to G and from B to G to B. In the last row, the lines branch out from G to R to B and from G to B to R.
Option two: A tree diagram is shown. The lines branch out to R, B, and G. In the first row, the lines branch out from R to B to B and from R to G to B. In the second row, the lines branch out from B to R to B and from B to G to R. In the last row, the lines branch out from G to R to B and from G to B to R
Option three: A tree diagram is shown. The lines branch out to R, B, and G. In the first row, the lines branch out from R to B to G and from R to G to B. In the second row, the lines branch out from B to R to G and from B to G to B. In the last row, the lines branch out from G to R to B and from G to B to G.
Option four: A tree diagram is shown. The lines branch out to R, B, and G. In the first row, the lines branch out from R to B to G and from R to G to B. In the second row, the lines branch out from B to R to G and from B to G to R. In the last row, the lines branch out from G to R to B and from G to B to R.
Thank you in advanced for helping me, it really means a lot. I don't know where I would be without you all, thank you! <3
Answers
See the attached image. The tree should consist of paths (left-to-right) that exhaust all the possible arrangements. 3 choices for the first bag (R, G, or B), 2 choices for the second (color availability depends on the first bag), and 1 for the third (again dependent on previous color), so there are [tex]3\cdot2\cdot1=3!=6[/tex] possible arrangements/permutations.
Answer: It's option 4
Step-by-step explanation: Let me fill you in on a trick I learned and why this is right so... every time you see a tree diagram like this you have to make sure that each letter across from each other match EX. P Q
Q P
See how p and p match across from each other that means it's correct here's why because each time you have a tree diagram you have EX. Q P but now you have to find another way you can make it and another way is to flip it when EX. Q P now if you flip it...
P Q
Now if you do this the letters end up matching every time which is how you know it's correct.
I know this looks long but its actually an easy trick to understand I hope you get what I'm saying hope this helps have a good day !
Enter the number that belongs in the green box
Answers
Answer:
x=96°
y=96°
Step-by-step explanation:
y=84° because of vertical angles. the measure of all 4 angles added together is 360°, so we add the 84° and the other 84° angle, and subtract them from 360° to get the sum of the other two angles
360°-(84°+84°)=192°
divide 192° by 2 to get the measure of one angle
therefore, x=96°
Answer:
x = 96 and y = 84
Step-by-step explanation:
Given
A Point
Angles x,y and 84 degrees
Required
Find x and y
First, we should note that angle x and 84 degrees are supplementary.
Two angles are said to be supplementary if they add up to 180 degrees
i.e. x + 84 = 180
x + 84 = 180
Make x the subject of formula
x = 180 - 84
x = 96
In the similar vein, angle x and y are supplementary.
so, x + y = 180
Substitute 96 for x
So, we have
96 + y = 180
make y the subject of formula
y = 180 - 96
y = 84
Hence, x = 96 and y = 84
What part of 5 3/5 is 7/10
Answers
Answer:
[tex]\frac{7}{10}[/tex] is [tex]\frac{1}{8}[/tex] of [tex]5\frac{3}{5}[/tex]
Step-by-step explanation:
step 1
we know that
To find what part of [tex]5\frac{3}{5}[/tex] is [tex]\frac{7}{10}[/tex], divide [tex]\frac{7}{10}[/tex] by [tex]5\frac{3}{5}[/tex]
but
First convert mixed number to an improper fraction
[tex]5\frac{3}{5}=\frac{5*5+3}{5}=\frac{28}{5}[/tex]
so
substitute
[tex]\frac{(7/10)}{(28/5)}=\frac{7}{56}=\frac{1}{8}[/tex]
therefore
[tex]\frac{7}{10}[/tex] is [tex]\frac{1}{8}[/tex] of [tex]5\frac{3}{5}[/tex]
Which ordered pair is not a solution of y=-12x-3?
A) (-3,33)
B) (8,-98)
C) (-9,105)
D) (3,-39)
Answers
Answer:
B. (8,-98
Step-by-step explanation:
because : x=8.....y=-12(8)-3 =-99
In Amy’s backyard, there are also chickens and rabbits. There are 5 more chickens than rabbits. The total number of legs is 130. How many rabbits and how many chickens?
Answers
Answer:
There are 25 chickens and 20 rabbits
Step-by-step explanation:
Let
x-----> the number of chickens
y ----> the number of rabbits
Remember that
1 chicken has two legs
1 rabbit has four legs
so
2x+4y=130 -------> equation A
x=y+5 -----> equation B
Substitute equation B in equation A and solve for y
2(y+5)+4y=130
2y+10+4y=130
6y=120
y=20 rabbits
Find the value of x
x=y+5
x=20+5=25 chickens
Answer:
20 rabbits . 25 chickens
Step-by-step explanation:
I know where u got them from
A square sandbox in Trisha's backyard has an area of 81 square feet. Find x, the diagonal length of the sandbox.
Answers
9 × 9 would be the answer or just 9. Since 9 × 9 = 81. So, I believe you could put 9 if there is only one x spot but if there is 2 you can put 9 × 9. Hope this helps! c:
Answer:
12.7 feet
Step-by-step explanation:
no <3
if y varies directly as z and inversely as x and y=16 and z=2 when x=42, find y when x=14 and z=8
*Edit* It's high school math. Forgot to change it from middle.
Answers
Answer:
y = 192
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y = [tex]\frac{kx}{z}[/tex] ← k is the constant of variation
To find k use the condition y = 16 and z = 2 when x = 42
k = [tex]\frac{yx}{z}[/tex] = [tex]\frac{16(42)}{2}[/tex] = 336
y = [tex]\frac{336z}{x}[/tex] ← equation of variation
When x = 14 and z = 8, then
y = [tex]\frac{336(8)}{14}[/tex] = 192
Please help me. I desperately need to pass Math T-T
Answers
Answer:
60 degrees
Step-by-step explanation:
C = 2(pi)r
The radius is 12 cm. We can find the circumference of a circle with radius 12 cm.
C = 2(pi)r = 2(3.14)(12 cm) = 75.36 cm
The length of the arc of the sector is 12.56 cm.
We can find the fraction this length is of the full circumference.
(12.56 cm)/(75.36 cm) = 1/6
The length of the arc of this sector is 1/6 the length of the circumference of the entire circle.
That means the angle of the sector is 1/6 the angle of an entire circle.
An entire circle has a central angle of 360 degrees.
1/6 * 360 degrees = 60 degrees
Please Answer Attachment Below Thanks
Answers
Answer:
Step-by-step explanation:
The interior angles of a heptagon add up to 5*180 = 900
So
x + 143 + 116 + 135 + 135 + 116 + 155 = 900 Add up the known angles
x + 800 = 900 Subtract 800 from both sides
x + 800 - 800 = 900 - 800 Combine
x = 100
The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 14 mph and the Mystic travels at 18 mph. How far apart will they be in 3 hours?
Answers
what you do is you take one of them and multiply their speed by however many hours
in this case
[tex]14 \times 3[/tex]
[tex]18 \times 3[/tex]
then add the product giving you the distance apart
Final answer:
The Serenity and The Mystic will be 96 miles apart after traveling in opposite directions for 3 hours with speeds of 14 mph and 18 mph, respectively.
Explanation:
The question involves calculating the distance between two moving objects, specifically sailboats, traveling in opposite directions. To find out how far apart they will be after a certain time, we use the concept of relative speed.
If The Serenity travels at 14 mph and The Mystic travels at 18 mph, their speeds add up when moving away from each other. Hence, the combined speed at which they are separating is:
(14 mph + 18 mph) = 32 mph.
To find out how far they will be apart in 3 hours:
Distance = Speed × Time
Therefore, Distance = 32 mph × 3 hours = 96 miles.
So, after 3 hours, The Serenity and The Mystic will be 96 miles apart.
These prisms are similar. Find the surface area of the larger prism in decimal form.
Answers
Answer:
176.4
Step-by-step explanation:
1.) 7/5 = surface area/90 = (7/5)^2 = 49/25
2.) sa/90 = 49/25
3.) 4,410/25a
Surface area is 176.4
Answer:
176.4
Step-by-step explanation:
please try to make the answer short if you can! && it’s worth ten points!
Answers
Answer:
A: 105 degree turn
Step-by-step explanation: If you were going east the it would be 75 except for the fact that since you are going west it would be supplementary
Tate has a bag of golf balls. 3 red 5 blue 2 yellow 2 green. What is the probability that he pulls out a blue one?
Answers
5/11 or 2.2 I believe you do this bye adding all them up and put the 5 as the numortor and 11 as the bottom
Answer:
1/22
Step-by-step explanation:
400 degree F is what in Centigrade
Answers
Answer:
400° F = 204.4° C
Step-by-step explanation:
We are given a temperature 400 degree in Fahrenheit and we are to convert in into a unit called Centigrade (also known as Celsius).
We know that 0 degree Centigrade is equal to 32 Fahrenheit so we will use the following formula to convert these units:
(32°F − 32) × 5/9 = 0°C
(400°F − 32) × 5/9 = 204.4° C
Final answer:
To convert 400 degrees Fahrenheit to Celsius, you can use the formula: C = (F - 32) * 5/9. So, 400 degrees Fahrenheit is approximately equal to 204.4 degrees Celsius.
Explanation:
To convert a temperature from Fahrenheit to Celsius, you can use the formula: C = (F - 32) * 5/9. To convert 400 degrees Fahrenheit to Celsius, you can substitute the value of F as 400 in the formula: C = (400 - 32) * 5/9 = 204.4. So, 400 degrees Fahrenheit is approximately equal to 204.4 degrees Celsius.
solve this equation for X:
0.5(5-7X)= 8- (4X+ 6)
Answers
Answer:
-1
Step-by-step explanation:
0.5(5-7X) = 8 - (4X+6)
Expand the L.H.S by multiplying it by 0.5 and expand the bracket on the R.H.S by multiplying with -1
2.5 - 3.5X = 8 - 4X -6
Collect like terms
-3.5X + 4X = 8 - 6 - 2.5
0.5X = -0.5
Divide both sides by 0.5
X = -1
Find the slope of the straight line that passes through (–2, –4) and (3, –5)
Answers
Hello there!
The slope is -1/5.
To find the slope, subtract the y values over the x values.
- 5 - - 4 / 3 - - 2 - Since subtracting a negative is the same as adding a positive, you can rewrite the equation like this: - 5 + 4 / 3 + 2.
You are left with -1/5, this cannot be simplified so this is your final answer. I hope this helps and have a great day! :)
For this case we have that by definition, the slope of a line is given by:[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
Only two points are needed through which the line passes.
Where:
[tex](x_ {1}, y_ {1}): (- 2, -4)\\(x_ {2}, y_ {2}) :( 3, -5)[/tex]
Substituting:
[tex]m = \frac {-5 - (- 4)} {3 - (- 2)}\\m = \frac {-5 + 4} {3 + 2}\\m = \frac {-1} {5}\\m = - \frac {1} {5}[/tex]
Answer:
[tex]m=-\frac{1}{5}[/tex]
14. What is the value of 3A + 6|C|?
A. 27
B. –63
C. 9
D. 63
Answers
Answer:
C
Step-by-step explanation:
Given 3A + 6|C|
Finding 3A where A=-9⇒-9×3= -27
Finding 6|C| where |C| is absolute value for |-6 |
6|C|= |6×-6| =36
Hence 3A + 6|C| = -27 +36 =9
Omari is dividing 5 by 6. If he continues the process, what will keep repeating in the quotient?
Answers
Answer:
0.833333333333
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
Dividing 5 by 6 not possible, add zero to to 5 to make it 50
so your quotient becomes 0. 8, you then multiply 8 by 6, it gives 48, you subtract 48 from 50, then you get 2 add zero at th back of 2, to make it 20.
Divide 20 by 6 again, then you will get 3, your quotient becomes 0.83, multiply 3 by 6, you will get 18, subtract 18 from 20, you will get 2, add 0 at the back of 2 to make it 20.
Divide 20 by 6, you will get 3, your quotient becomes 0.833. Multiply 3 by 6, you will get 18, subtract 18 from 20, you will get 2.
Add zero add the back of 2 to make it 20 and repeat the process.
You will keep getting 3
If f(12)=4(12)-20 which function gives f(x)
Answers
hope it helps you!!!!!!!!!!
Bret has a fish tank that holds 320 liquid ounces of water. On average, the water evaporates from the tank at a rate of 3.84 ounces per day. Bret went on vacation for 2 weeks, and asked a friend to feed his fish. The fish tank was full of water when Bret left. To the nearest hundredth, how many liquid ounces of water were left in the tank when Bret returned from his vacation?
Answers
Answer:
266.24
Step-by-step explanation:
y=320-3.84d
d represents number of days
320-3.84(14)
=320-53.76
=266.24
Answer:
266.24 ounces
Step-by-step explanation:
2 weeks = 7 x 2 = 14 days
Initial Amount = 320 ounce
Rate = 3.84 ounces/day
Amount of water left
= 320 - 3.84(14)
= 266.24 ounces
Heeeeeeeeeeeeeeeeeeeeeeeeelp
Answers
Answer:
C &A
Step-by-step explanation:
Just by analyzing the problem you can match up the answers
Solve the problem in your head and the closest answer to that is the answer
Answer:
B and D are equivalent to -3.75+2(-4x+6.1)-3.25x
Step-by-step explanation:
The initial equation is -11.25x+8.45
A is equivalent to 5x+8.1
B is equivalent to 8.45-11.25x
C is equivalent to -7.25x+4.35
D is equivalent to -11.25x+8.45
Hope this helps! Please mark as brainliest!! <3
The value of which of these expressions is closest to e ?
A. (1 + 1/14)^14
B. (1 + 1/12) ^12
C. (1 + 1/13)^13
D. (1 + 1/11) ^11
Answers
Answer:
It's A, Apex confirmed
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
A needle is 2 inches long. A piece of ribbon is 6 feet long. Which diagram and statement best represents their lengths?
Answers
The answer is D . The bottom right corner .
The diagram and statement that best represents their lengths is as follows:
The ribbon is 36 times as long as the needle.
LengthLength is use to identify the size of an object or the distance.
The needle is 2 inches long
The piece of ribbon is 6 feet long.
Let's convert the sizes to same unit to be able to compare them . Therefore,
12 inches = 1 ft
2 inches = ?
Therefore, 2 inches = 2 / 12 = 1 / 6 ft
Therefore, the ribbon is 36 times as long as the needle.
1 / 6 × 36 = 6 ftlearn more on length here: https://brainly.com/question/5870703?referrer=searchResults
My question is what is 10 + 54 over -6
Answers
Answer:
-11
Step-by-step explanation:
64\-6= -10.667 Hope this helps
How do you find the area of a circle by it's circumference and the circumference of a circle by it's area
20 points PLZZZ answer
Answers
Answer
A = C2 / (4 π) for the first question. C = 2*π*square root of (A/π). for the second question.
Step-by-step explanation:
The area of a circle is given by the formula A = π r2, where A is the area and r is the radius. The circumference of a circle is C = 2 π r.
If we "solve for r" in the second equation, we have r = C / (2 π ). Now we use this to replace r in the first equation: A = π [ C / (2 π ) ]2.
When we simplify this, we get A = C2 / (4 π).
Now you can put your value of C into this equation and find A.
To find the area of a circle from its circumference, first find the radius using the circumference and then compute area. To find the circumference from the area, derive the radius from the area and then calculate the circumference.
Explanation:Finding the Area of a Circle from its CircumferenceTo find the area of a circle using its circumference, you first need to find the radius of the circle. The formula to find the radius from the circumference is r = C/(2π), where C is the circumference of the circle, r is the radius, and π is Pi, approximately 3.14159265. After finding the radius, use the formula for the area of a circle, A = πr², where A is the area.
Finding the Circumference of a Circle from its AreaCircumference of a circle can also be determined from its area. The radius can be found using the formula, r = sqrt(A/π), where A is the area of the circle. Once the radius is known, you can find the circumference by the formula, C = 2πr.
Learn more about Circle here:https://brainly.com/question/11833983
#SPJ12
Does anyone know the answer??
Answers
Answer:
C
Step-by-step explanation:
Use the Pythagorean Theorem.
[tex]a^2+b^2=c^2 \\ \\ 100^2+b^2=125^2 \\ \\ 10000+b^2=15625 \\ \\ b^2=5625 \\ \\ b=\sqrt{5625} \\ \\ b=75[/tex]
2x + y = 3 x - 2y = -1 If equation two is multiplied by -2 and then the equations are added, the result is _____. -3y = 3 3y = 5 5y = 5
Answers
Answer:
5y=5
Step-by-step explanation:
Given equations
2x + y = 3 (i)
x - 2y = -1 (ii)
Multiplying equation (ii) by -2
Both sides of equation will be multiplies by -2.
-2(x-2y)= -2(-1)
The new equation will be
-2x+4y=2 => (iii)
Adding equation (iii) with equation (i), adding respective sides of both equations
(2x+y)+(-2x+4y)=3+2
2x+y-2x+4y=5
5y=5
So, after multiplying equation (ii) by -2 and then adding it to the first equation will give 5y=5
Answer:
[tex]5y=5[/tex]
Step-by-step explanation:
[tex]2x + y = 3[/tex]
[tex]x - 2y = -1[/tex]
If equation two is multiplied by -2, then the equation becomes
[tex]x - 2y = -1[/tex] times -2 becomes
[tex]-2x + 4y = +2[/tex]
Now we add both equations
[tex]2x + y = 3[/tex]
[tex]-2x + 4y = +2[/tex]
----------------------------------
[tex]0 + 5y = 5[/tex]
[tex]5y=5[/tex]
The second one please
Answers
I think it's 27 but I may be wrong.
yeah 27 because you do the butterfly method. you multiply 63 and 12 you get 756 then you divide 756 by 28 and you get 27
Answer:
x = 27
Step-by-step explanation:
let the donominatir be x
28/63 = 12/x
28x = 756
x = 756/28
x = 27
-TheUnknownScientist
John deposited $80 in a savings account earning 5% interest, compounded annually. To the nearest whole dollar, how much interest will he earn in 3 years?
Answers
Answer:
The interest is equal to [tex]\$13[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=3\ years\\ P=\$80\\ r=0.05\\n=1[/tex]
substitute in the formula above
[tex]A=\$80(1+\frac{0.05}{1})^{3}=\$92.61[/tex]
Find the interest
[tex]I=A-P=\$92.61-\$80=\$12.61[/tex]
Round to the nearest whole dollar
[tex]\$12.61=\$13[/tex]