Step-by-step explanation:
Explanation:
An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. The other two endpoints define what we call an intercepted arc on the circle. The intercepted arc might be thought of as the part of the circle which is "inside" the inscribed angle. (See the pink part of the circle in the picture above.)
A central angle is any angle whose vertex is located at the center of a circle. A central angle necessarily passes through two points on the circle, which in turn divide the circle into two arcs: a major arc and a minor arc. The minor arc is the smaller of the two arcs, while the major arc is the bigger. We define the arc angle to be the measure of the central angle which intercepts it.
The Inscribed Angle Conjecture I gives the relationship between the measures of an inscribed angle and the intercepted arc angle. It says that the measure of the intercepted arc is twice that of the inscribed angle.
The precise statements of the conjectures are given below. Each conjecture has a linked Sketch Pad demonstration to illustrate its truth (proof by Geometer's Sketch Pad!). The linked activities sheet also include directions for further "hands on" investigations involving these conjectures, as well as geometric problems which utilize their results.
The precise statement of the conjectures:
Conjecture (Inscribed Angles Conjecture I ): In a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc..

Corollary (Inscribed Angles Conjecture II ): In a circle, two inscribed angles with the same intercepted arc are congruent.

Proof: The measure of each inscribed angle is exactly half the measure of its intercepted arc. Since they have the same intercepted arc, they have the same measure.
Corollary (Inscribed Angles Conjecture III ): Any angle inscribed in a semi-circle is a right angle.

Proof: The intercepted arc for an angle inscribed in a semi-circle is 180 degrees. Therefore the measure of the angle must be half of 180, or 90 degrees. In other words, the angle is a right angle.
question in attachment
Answer:
[tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex]
[tex]sin(x)=\frac{1}{2}[/tex]
[tex]tan(x)=-\frac{1}{\sqrt{3} }[/tex]
[tex]csc(x)=2[/tex]
[tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]
[tex]cot(x)=-\sqrt{3}[/tex]
Step-by-step explanation:
(I'll just use x for ease of writing)
We have the trig equation [tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex], and we know that its terminal side is in the 2nd quadrant. By using a unit circle, we can determine that the angle is [tex]\frac{5\pi}{6}[/tex] which has an ordered pair of [tex](-\frac{\sqrt{3} }{2},\frac{1}{2} )[/tex]
[tex]sin(x)=y[/tex], so [tex]sin(x)=\frac{1}{2}[/tex]
[tex]tan(x)=\frac{y}{x}[/tex], so [tex]tan(x)=\frac{\frac{1}{2} }{-\frac{\sqrt{3} }{2} }=-\frac{1}{\sqrt{3} }[/tex]
Now that we have sin, cos, and tan, we can just take the reciprocal of each of these to get our answers for csc, sec, and cot.
[tex]csc(x)=\frac{1}{sin(x)}[/tex], so [tex]csc(x)=2[/tex]
[tex]sec(x)=\frac{1}{cos(x)}[/tex], so [tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]
[tex]cot(x)=\frac{1}{tan(x)}[/tex], so [tex]cot(x)=-\sqrt{3}[/tex]
Step-by-step explanation:
Question 1
What is the measure of x?
Answer:
110
Step-by-step explanation:
Melanie makes $3.00 less per hour babysitting than her best friend, Carita. If the combined hourly rate of Melanie and Carita is $15.00, how much does Melanie make per hour? A. $3.00 B. $6.00 C. $9.00 D. $12.00
Answer:
B 6.00
Step-by-step explanation:
M= 6$
C= 9$
M+C= 6+9= 15$ per hour
Answer the question below
Answer:There are 96 apples in the 12th bag.
Step-by-step explanation:
Firstly, you add the number of apples in the 11 bags.
6+28+16+27+10=87
If the mean number of apples in the 12 bags were 8, the total number of apples are 96.
Using this info, we subtract 87 from 96 to 9.
Hence, there are 9 apples in the 12th bag.
Which graph represents the function h(x) = [X1 +0.5?
12
V
2
1
2
-2
Answer:
Actually, if you graph it the correct answer is the third option, not the first
Trust me I got 100%
What is the equation of the line that is perpendicular to the
given line and has an x-intercept of 6?
y=-3x+8
O y=-3x + 6
O y=-x-8
O y=x-6
Answer:
y=x-6
Step-by-step explanation:
The x-intercept is found replacing y = 0, as follows:
Function: y = -3x + 8
x-intercept:
0 = -3x + 8
3x = 8
x = 8/3
Function: y = -3x + 6
x-intercept:
0 = -3x + 6
3x = 6
x = 6/3 = 2
Function: y = -x - 8
x-intercept:
0 = -x - 8
x = -8
Function: y = x - 6
x-intercept:
0 = x - 6
x = 6
The last option is the only one in which x-intercept is x = 6.
What is the value of 4³÷ 2³ ?
Answer:
2^3 or 8
Step-by-step explanation:
[tex]4^3\div 2^3= \\\\(2^2)^3\div 2^3= \\\\2^{2\cdot 3}\div 2^3= \\\\2^6\div 2^3=\\\\2^{6-3}=\\\\2^3=\\\\8[/tex]
Hope this helps!
Answer:
8
Step-by-step explanation:
subtract because it is division
2³
=2x2x2
=8
hope it helps- can u pls mark as brainliest?
The coordinate of point E is 2 and the coordinate of point Fis 5. Find
the length of segment FE.
To find the length of FE subtract t E feom F
FE = 5-2 = 3 units long
the diameter of a circle is 5 ft. Find the circumference TO THE NEAREST TENTH
Answer:
15.7
Step-by-step explanation:
3.14(5)
Help I need help on this it can be more than one
Answer:
same it is pretty blury unblur it
Step-by-step explanation:
The sum of the ages of Jan and George is 65. In 10 years, Jan will be 4 times as old as George.
Set up the system of equations and solve for how old Jan and George are now.
Answer:
J - Age of Jan
G - Age of George
J + G = 65
J+10 = 4(G+10)
Step-by-step explanation:
Please help me. Giving all these points for correct answer.
Answer:
7.722 cm^2.
Step-by-step explanation:
The area required is 1/4 of the difference of the area of the square and the circle.
The radius of the circle = 1/2 * 12 = 6 cm.
The area required = 1/4 * (12^2 - 3.142 * 6^2)
=7.722 cm^2.
Answer:
7.72500
Step-by-step explanation:
Here are the steps for and problem like this one.
Write an inequality to represent the situation.Remove Parenthesesmultiply the numbers (in this case it would be 2×3=6)Subtract the numbers (in this situation it would be -54 - 6 = - 60)In the following arithmetic number pattern: 5,9,13,17... what is the 100th term?
A system of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?
O y=-4x + 5
O y = 4x-5
O 2y = 8x - 10
0 -2y = -8x - 10
Answer:
y = -4x+5
Step-by-step explanation:
I graphed the given equation on the graph below and graphed the choices with it. Only one choice had one solution with the given equation. This equation is y = -4x+5
Answer:
O y=-4x + 5
Step-by-step explanation:
I graphed "4x - y = 5" and the other options using a graphing tool. After graphing, we can see:
"4x - y = 5" and " -2y = -8x - 10" has no solution. The lines are parallel.
"y = 4x-5" and "2y = 8x - 10" overlap over "4x - y = 5". They have an infinite number of solutions.
"y=-4x + 5" and "4x - y = 5" cross at point (1.25, 0). This means that they have one solution.
"y=-4x + 5" should be the correct answer.
Find the sum of the first 31 terms of the following series, to the nearest integer. 5 , 14 , 23 , . . .
Answer:
Step-by-step explanation:
a1 = 5
common difference = 2nd term - 1st term= 14 -5 = 9
n = 31
[tex]S_{n}=\frac{n}{2}[2a+(n-1)d]\\\\S_{31}=\frac{31}{2}[2*5+30*9]\\\\=\frac{31}{2}[10+270]\\\\=\frac{31}{2}*280\\\\=31*140\\\\=4340[/tex]
Answer:
i took the tests and the answer is d
10=|m+2| solve the equation
Answer:
8 = m -12 =m
Step-by-step explanation:
10=|m+2|
There are two solutions to the absolute value equation, one positive and one negative
10 = m+2 -10 = m+2
Subtract 2 from each side
10-2 = m+2-2 -10-2 = m+2-2
8 = m -12 =m
Answer:
8, -12
Step-by-step explanation:
use a online calculator
Line parallel to y-1=4(x+3) and passes through (4,32)
Answer:
y - 32 = 4(x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 1 = 4(x + 3) ← is in point- slope form
with slope m = 4
Parallel lines have equal slopes.
Using m = 4 and (a, b) = (4, 32), then
y - 32 = 4(x - 4) ← equation of parallel line
What is 3 to the tenth power
Answer: 59049
Step-by-step explanation: 3 to the power of 10 = 310 = 59049.
( I hope this helped <3 )
The number 3 raised to the power of 10 (that is [tex]3^{10[/tex]) is calculated as: 59,049.
How to find the tenth power of a number?The step-by-step calculation for 3 to the tenth power ([tex]3^{10[/tex]) is shown and explained below:
Start with the base number, which is 3.
Multiply the base number by itself to the power of 1:
[tex]3^1[/tex] = 3
Continue multiplying the result by the base number for each subsequent power:
3² = 3 × 3 = 9
3³ = 3 × 3 × 3 = 27
[tex]3^4[/tex] = 3 × 3 × 3 × 3 = 81
[tex]3^5[/tex] = 3 × 3 × 3 × 3 × 3 = 243
[tex]3^6[/tex] = 3 × 3 × 3 × 3 × 3 × 3 = 729
[tex]3^7[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 = 2,187
[tex]3^8[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 6,561
[tex]3^9[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 19,683
[tex]3^{10[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 59,049
Therefore, 3 raised to the power of 10 is equal to 59,049.
Learn more about powers on:
https://brainly.com/question/29006727
#SPJ6
If the two angles are complementary, find the measure of each of angle.
Answer:
Step-by-step explanation:
If two angles are complementary, the sum of measures of two angles is 90
Using this, you can find the angles
Answer:
Two Angles (A and B) are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. This is:
A + B = 180
so
A=180 - B or
B=180-A
Examples:
• 60° and 30° are complementary angles.
• 5° and 85° are complementary angles.
what is 12000 mutiplyed by 180000
Answer:
The Answer is 2160000000
Answer:2160000000
Step-by-step explanation:
You borrow $1,000 on a simple interest loan. You pay an annual rate of 3.5%. You will
take 3 years to pay back the loan. How much interest will you pay?
$1,000
interest
0% 3.5%
100%
CHECK
$
Answer:
The amount of interest to be paid is $105
Step-by-step explanation:
To find how much interest that will be paid, we will follow the steps below;
Simple Interest = PRT / 100
where p is the principal, R is the rate and T is the time in years
from the question given
principal P = $1000
Rate R = 3.5
and time T = 3
substitute the values into the formula above
Interest = $1000×3.5×3 / 100
=$10×3.5×3
=$105
Interest = $105
The amount of interest to be paid is $105
Answer: no sense
Step-by-step explanation:
Zoe is making a quilt using 15 red squares and 30 green squares. Which combination shows the same ratio of red squares to green squares?
Answer:
A
Step-by-step explanation: Well 15:30 I would think is just 1:2 so looking for another ratio like that there's only one other answer. 3:6 15 is half of 30 and 3 is half of 6.
Answer:
A. 3 red squares to 6 green squares.
Step-by-step explanation:
We have 15 red squares for 30 green squares. The ratio is:
[tex]$\frac{15}{30} $[/tex]
Actually anything that is equivalent to the ratio [tex]$\frac{15}{30} $[/tex] would be the answer. Besides [tex]$\frac{3}{6}$[/tex] , other examples:
[tex]$\frac{1}{2} $[/tex]
[tex]$\frac{5}{10} $[/tex]
A figure in the first quadrant is rotated 180° counterclockwise about the origin. In which quadrant will the rotated figure appear?
Answer:
It will be in the 3rd quadrant.
Step-by-step explanation:
Hope that helps!
Answer:
The rotated figure appears in the 3rd quadrant
Step-by-step explanation:
To visualize a problem can sometimes be challenging.
It usually helps to make a sketch of the situation, to get a "feel" it of what is happening.
Supose a little cube is placed on the x axis, in quadrant 1, starting at ( 1. 0), and with size 1 unit.
Corner coordinates are therefore:
A =( 1, 0)
B =( 2, 0)
C =( 2, 1)
D =( 1, 1)
Rotate for 180 degrees about the origen (EXTRA: a ounterclockwise rotation over 180° is exactly the same as a clockwise rotation over 180°).
The new coordinates are:
A' =(-1, 0)
B' =(-2, 0)
C' =(-2 -1)
D' =(-1, -1)
These are all in third quadrant.
Therefore, the rotated figure appears in the 3rd quadrant
Given the graphed function below, which of the following ordered pairs are
found on the inverse function?
10
8
6
4
-6-7 6 4 4 -3 -2 -1 0
2 3 4 5 6
-4
-8
-
A. (-10,-2), (-3,-1), (-2, 0),(-1, 1), (6,2)
O B. (2, 10), (1,3), (0, 2), (-1,1),(-2,-6)
O C. (10,2), (3, 1), (2.0), (1,-1).(-6, -2)
O D. (-2, 10),(-1,3), (0,2), (1, 1), (2.-6)
Answer:
A
Step-by-step explanation:
took it on ap ex
The correct ordered pairs which are found on the inverse function are,
⇒ (-10, -2), (-3, -1), (-2, 0),(-1, 1), (6, 2)
What is mean by Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We have to given that;
The graphed function are shown in figure.
Now, All the points on the graph are,
⇒ (- 2, - 10) , (- 1, - 3) , (0, - 2) , (1, - 1) , (2, 6)
Hence, The correct ordered pairs which are found on the inverse function are,
⇒ (-10, -2), (-3, -1), (-2, 0),(-1, 1), (6, 2)
Thus, ''Option A'' is true.
Learn more about the coordinate visit:
https://brainly.com/question/24394007
#SPJ7
Here is a list of numbers.
17
18
19
20
21
22
23
24
a) From the numbers in the list, write down a number that is a factor of 20
b) From the numbers in the list, write down a number that is a multiple of
both 3 and 7
c) Write down all the prime numbers from the list
Answer:
A=20 B=23 C=17,19,23
Step-by-step explanation:
A=20
B=23
C=17,19,23
What's the center of the circle with the equation
(x−9)^2+(x+16)^2=25?
(9,−16)
(−9,16)
(3,−4)
(−3,4)
Answer:
Center = (9, -16)
Step-by-step explanation:
So you already have the center in the equation.
The base form is [tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) = center.
Center = (9, -16)
Can someone help me please?
Answer:
8 degrees
Step-by-step explanation:
Hope this helps!
Answer:
8 Degrees
Have a nice day!
Would the answer be b an d for this
Answer:
PROBABLY A and maybe D... here's why
Step-by-step explanation:
i think its A because it goes in a straight line while the others are just wonkity wonk and D also has straight lines not goes all over the place. Idk if this is right but its what would be right for me because i'm learning about proportional graphs and how it could work and if it has to make a straight line for you than im glad this answer could help!
i tried :) hope it helps!
PLEASE HELP! SEE ATTACHMENT
it's algebra graphing
Answer:
a- g(x)= 4/5 x -3
b- slope is 4/5
c- vertical intercept is y= -3 when x=0
Step-by-step explanation:
Vertical compression : 4/5 f(x)
shift left you add f(x) +1
shift down you subtract : f(x)-1
the result is g(x) = 4/5 f(x) +1-4
CAN SOMEONE PLEASE HELP The Ecology Club was planning to take a field trip either to the seacoast or the mountains. The club president surveyed all of the members to determine the preferred trip. The results are displayed in the table below. Which statement is true about the results of the survey? *
20% of eighth-grade students preferred the seacoast
32% of seventh-grade students preferred the mountains
40% of students preferred the mountains
48% of students preferred the seacoast
Answer:
The true statement about the results of the survey is:
48% of students preferred the seacoast.Step-by-step explanation:
To identify if the D option is right, you only must use a simple rule of three, where you use the total of the members surveyed in the club (150), and the number of members that preferred the seacoast (72), by the last the operation must confirm that this value (72) is equal to the 48% (how says in the D option). First, you must establish the rule of three:
150 = 100 (100% of surveyed really, but is easier to understand in this form) 72 = XAnd operate:
X= (72 * 100) / 150 X = 48 (this means the 48%)How you can see, the value obtained in the simple rule of three is exactly the percentage of the D option, for this reason, this is the true statement.
