Answers
9514 1404 393
Answer:
1. ∠EDF = 104°
2. arc FG = 201°
3. ∠T = 60°
Step-by-step explanation:
There are a couple of angle relationships that are applicable to these problems.
the angle where chords meet is half the sum of the measures of the intercepted arcsthe angle where secants meet is half the difference of the measures of the intercepted arcsThe first of these applies to the first two problems.
1. ∠EDF = 1/2(arc EF + arc UG)
∠EDF = 1/2(147° +61°) = 1/2(208°)
∠EDF = 104°
__
2. ∠FHG = 1/2(arc FG + arc ES)
128° = 1/2(arc FG +55°) . . . substitute given information
256° = arc FG +55° . . . . . . multiply by 2
201° = arc FG . . . . . . . . . subtract 55°
__
3. For the purpose of this problem, a tangent is a special case of a secant in which both intersection points with the circle are the same point. The relation for secants still applies.
∠T = 1/2(arc FS -arc US)
∠T = 1/2(170° -50°) = 1/2(120°)
∠T = 60°
Related Questions
Can you figure out what the area of this shape is?
Answers
Answer:
22 units
Step-by-step explanation:
split it into 3 sections, there are two sections of 2x3 and one of 1x10, together they make 22 units
use the following picture to classify the following statements as true or false
Answers
BC ≈ EF
BAC ≈ EDF
ABC ≈ DEF by ASA
AC ≈ DF
Not True:
ABC ≈ FDE
ABC ≈ DEF by AAS
A coin is flipped 8 times. Find the probability of the event:
exactly 6 heads
Answers
Answer:
P(E)=56256=732. Step-by-step explanation:
Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row
pls help me out in this assignment PLSSSSS anyone plss
Answers
Answer:
what number?
number three or number two
How many-foot pieces of wood
can you cut from a board that is
6 feet long?
Answers
Answer:
6
Step-by-step explanation:
Foot long = 1 foot
6 / 1 = 6 foot pieces
If the entire board is 6 feet long and you wanted to cut it into 1 foot intervals, you would do 6/1 and get 6
Match each three dimensional figure to its volume based on the given dimensions.
Answers
please attach a diagram
Actividad N°2: Marque la alternativa correcta en la siguiente pregunta.
Sea una función tal que () = 7 − 3 cuyo dominio es el conjunto () =
{−1, 0, 1, 2, 3}, entonces el () es:
5 PUNTOS
A) () = {−2, 1, 4, 7, 10}
B) () = {−1, 0, 1, 2, 3}
C) () = {4, 7, 10, 13, 16}
D) () = {1, 2, 3, 4, 5}
E) () = {−16, −13, −10, −7, −4}
Answers
Answer:
Hola busco amigos
Perdí mi otra cuenta
Ayúdame y te ayudo con tus tareas
¿ si?
Step-by-step explanation:
A club is choosing 2 members to serve on a committee. The club has nominated 3 women and 3 men. Based on chance alone, what is the probability that one woman and one man will be chosen to be on the committee
Answers
Answer: 0.6
Step-by-step explanation:
Given
There are 3 women and 3 men available to form a 2 member committee.
No of ways, a man can be chosen are [tex]3[/tex]
Similarly, no of ways a woman can be chosen are 3
Therefore, probability of choosing 2 members i.e. 1 man and 1 women is
[tex]\Rightarrow P=\dfrac{3}{6}\times \dfrac{3}{5}[/tex]
If the order matter, then
[tex]\Rightarrow P=2\times \dfrac{3\times 3}{6\times 5}\\\\\Rightarrow P=0.6[/tex]
The probability that 1 woman and 1 man will be chosen is "0.6".
According to the question, the club has nominated:
Number of women = 3 Number of men = 3Now,
→ The number of ways to select two persons from 6 will be:
= [tex]\binom{6}{2}[/tex]
hence,
The probability that one woman and one man will be chosen will be:
→ [tex]P(1 \ women \ and \ 1 \ women) = \frac{\binom{3}{1} \binom{3}{1}}{\binom{6}{2}}[/tex]
[tex]= 3\times \frac{3}{15}[/tex]
[tex]= \frac{9}{15}[/tex]
[tex]= 0.6[/tex]
Thus the above answer is right.
Learn more:
https://brainly.com/question/13419138
Kevin and his elder brother Jason jog every morning. Kevin runs 1.5 miles per hour slower
than Jason. When Jason ran 5 miles, Kevin only ran 4.2 miles. Find their running speeds.
(Write an algebraic equation first, then solve.)
Answers
Answer:
Jason - 9.375 miles per hour
Kevin -7.875 miles per hour
Step-by-step explanation:
Let Jason’s running speed be x miles per hour
Kevin runs 1.5 miles per hour less;
so his running speed will be (x-1.5) miles per hour
At any point, distance = speed * time
Their running time is same here;
Jason’s running time will be 5/x
Kevin’s running time will be 4.2/(x-1.5)
These times are equal;
So;
5/x = 4.2/(x-1.5)
5(x-1.5) = 4.2x
5x - 7.5 = 4.2x
5x-4.2x = 7.5
0.8x = 7.5
x = 7.5/0.8
x = 9.375 miles per hour
So kevin’s speed will be 9.375 - 1.5 = 7.875 miles per hour
Question 5(Multiple Choice Worth 2 points)
(01.06)
Simplify square root of negative 48.
negative 4 square root of 3
4 square root of negative 3
4 i square root of 3
4 square root of 3 i
Answers
Answer: 4 i square root of 3
Find the maximum or minimum value of y = 3x² + 7x + 9 by completing the squares state the value of x at which the function is maximum or minimum.
Answers
Answer:
The minimum is 59/12
Step-by-step explanation:
you should calculate the -b/2a = -7/6
you should put -7/6 in the x variable
3.
Use the concept of a series to sum up 0.315+0.000315+0.000000315+.... Give your final answer
in reduced fraction form. Note: There are several methods to prove this fact. I am specifically asking
you to use a series.
Answers
Dividing each term in the given series by 0.315 reveals a simple geometric sum,
0.315 (1 + 1/1,000 + 1/1,000,000 + …)
or
0.315 (1 + 1/10³ + 1/10⁶ + …)
or
[tex]\displaystyle 0.315 \sum_{n=0}^\infty \frac1{10^{3n}} = 0.315 \sum_{n=0}^\infty \frac1{1000^n}[/tex]
i.e. a geometric sum with a common ratio of 1/1,000. I'm not sure what your instructor expects exactly, but you may already know that
[tex]\displaystyle a\sum_{n=0}^\infty r^n = \frac a{1-r}[/tex]
if |r | < 1. This is the case here, so
0.315 (1 + 1/1,000 + 1/1,000,000 + …) = 0.315 / (1 - 1/1,000)
… = (315/1000) / (999/1000)
… = 315/999
… = 35/111
-2 (x + 3z) + 4x - 3y + 2z
Answers
Answer:
-2 (x + 3z) + 4x - 3y + 2z
-2x-6x+4x-3y+2z
2x-4z-3y
hope it helps...
have a nice day!
Answer:
please answer is then you thanks me
Step-by-step explanation:
-2(x + 3z) + 4x - 3y +2z
-2x -6z + 4x - 3y + 2z
=2x - 4z - 3y
Which points are on the graph of the function rule f(x) = 10 - 4x
Answers
Explanation:
match each step to its justfication to solve 2x+5=19.
Answers
Step-by-step explanation:
x=7 (given)
2x=14 (divide)
2x+5-5=19-5 (subtraction property of equality)
2x/2=14/2 (divide)
2x + 5=19 (division property of equality)
An angle measures 104° more than the measure of its supplementary angle. What is the measure of each angle?
___° and ___°
thank you <3 best answer will get brainliest.
Answers
Mark Brainliest please
Answer:
38 degrees
Step-by-step explanation:
Let the angle be x
Supplement:: 180-x
Equation:
x = 180-x + 104
2x = 284
x = 142 degrees
therefore , 180-x = 180-142= 38 degrees
The midterm grades for two high school algebra classes are provided in the tables below. For convenience, the data have been ordered.
Class 1: 72 73 74 75 76 79 82 83 84 86 91
92 93 93 94 95 97 97 98 98
Class 2: 59 65 68 69 72 73 78 80 82 82
83 83 85 88 88 89 94 96 97 98
A. Sketch parallel boxplots for the two classes.
B. Which class has the better overall performance? Justify your answer.
C. The teacher for the two classes calculates a 90% confidence interval for the difference in mean midterm grades between Class #1 and Class #2. The confidence interval is (0.09299, 11.413). Assume that confidence interval conditions are met. Based on the confidence interval, do you think there is a difference in the population mean midterm grades for the two classes? Explain.
Answers
Answer:
Following are the responses to the given question:
Step-by-step explanation:
For point a:
In R-Studio, we first insert the data set,
Please notice that perhaps the blue colored lines are input and the green lines are R-Studio results.
[tex]Class \ 1 = c(72,73,74,75,76,79,82,83,84,86,91,92,93,93,94,95,95,97,98,98)\\\\Class\ 2 = c(59,65,68,68,69,72,73,78,80,82,82,83,83,85,88,88,89,94,96,97,98)[/tex]
We will get the smallest observation, first, mid, third, and largest quartile for both classes and use a summary of 5 numbers,
[tex]\to five\ num(Class\ 1) \\\\\[1\] \ 72.0 77.5 88.5 94.5 98.0 \\\\\to five\ num(Class\ 2) \\\\\[1\]\ 59 72 82 88 98[/tex]
The table can be defined as follows:
[tex]Class\ 1\ \ \ \ \ \ \ \ \ \ \ \ Class\ 2 \\[/tex]
[tex]Smallest \ value\ \ \ \ \ \ \ 72\ \ \ \ \ \ \ 59\\First \ quartile \ Q1\ \ \ \ \ \ \ 77.5\ \ \ \ \ \ \ 72\\Median\ Q2 \ \ \ \ \ \ \ 88.5\ \ \ \ \ \ \ 82\\Third \ quartile \ Q3 \ \ \ \ \ \ \ 94.5\ \ \ \ \ \ \ 88\\Largest \ value \ \ \ \ \ \ \ 98\ \ \ \ \ \ \ 98\\[/tex]
The parallel boxplots in R-Studio as,
[tex]\text{boxplot(Class1, Class2, xlab = "Class", ylab = "midterm grades", main = "Boxplots")}[/tex]Please find the graph file.
For point b:
Its performance overall of Class 1 is better, while the median of class 1 is greater than class 2, as well as the value (grades) of class 1, is less dispersed in relation to class 2.
For point c:
The stated 90 percent confidence interval for a significant difference is (0.09299, 11.413) Users now calculate the difference among Class 1 and Class 2 plan presented of mean value as:
[tex]mean \ (Class \ 1) \\\\\[1\]\ 86.5\\\\mean\ (Class\ 2)\\\\[/tex]
[tex]\[ 1 \] \ 80.80952\\\\Difference = 86.5 - 80.80952 = 5.69048[/tex]
Its discrepancy among two estimations is between confidence interval of 90 percent (0.09299, 11.413). Its mean population of grades of two classes therefore differs significantly.
[tex]4 \sqrt{(3x}^{3} [/tex]
write in exponential form
Answers
Answer:
[tex]4(3x)^{\frac{3}{2} }[/tex]
Step-by-step explanation:
hope that helps
Plz help me solve this
Answers
simplify the equation, cancel equal terms, move constant to the right, calculate, divide both sides !!!!
Answer: x=-3
Step-by-step explanation:
First let's eliminate the square root
[tex](\sqrt{x^2-5x+2})^2=(\sqrt{x^2+17})^2\\x^2-5x+2=x^2+17[/tex]
Now subtract [tex]x^2\\[/tex] from both sides
[tex]x^2-5x+2-x^2=x^2+17-x^2\\-5x+2=17[/tex]
Subtract 2 from both sides
[tex]-5x+2-2=17-2\\-5x=15[/tex]
Finally divide both sides by -5
[tex]\frac{-5x}{-5} =\frac{15}{-5} \\x=-3[/tex]
how do i solve this problem
Answers
Answer:
Exponential function have a horizontal asymotote. The equation of the horizontal asymptote is y=0.Step-by-step explanation:
whatcha of the following is the quotient of
Answers
Answer:
(2y+3)
Step-by-step explanation:
HII CAN SOMEONE PLEASE HELP ME, this is my final exam ... Which equation describes the line with slope 4 that contains the point (7,2)?
A. y + 2 = 4(x + 7)
B. y - 7 = 4(x - 2)
C. y+ 7 = 4(x + 2)
O D. y - 2 = 4(x - 7)
Answers
Answer:
I believe it is D
Step-by-step explanation:
I used desmos
Answer:
D
Step-by-step explanation:
Due to the coordinate being positive in both x and y, then you know by putting the numbers in the equation that they will bot subtract from their variable
I need help asp please!!
Answers
(3/6) to the power of 2 + 7 x 4 - 5
Answers
Answer:
0.00000003
Step-by-step explanation:
2+ 7 * 4 - 5 = 25
(3/6) ^ 25 = 0.00000003
Please give me the right answer me going onto my sophomore year depends on this
Answers
Answer: 5.5. if you divide you will clearly see it is 5.5 so D
Step-by-step explanation:
Which inequality represents all numbers x on a number line that are farther from −8 than from −4?
Answers
Answer:
x - 8>-4-x
Step-by-step explanation:
Looking at x - 8>-4-x
Collect the like terms;
x+x > -4 + 8
2x < 4
x > 4/2
x < 2
Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4
Find the vertex of the graphed function.
16= \x - 4 +3
2
The vertex is at
Answers
Answer:
16=/-4+3+2
16=/-1jhcdf why
hyee852iok
Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent.
Percent increase ≈
%
Answers
Answer:
10
Step-by-step explanation:
Historically, the average diameter of the holes drilled has been 0.25 cm and the average range has been 0.10 cm. Samples of size 4 will be collected. For the R-chart, what is the value of upper control limit
Answers
Solution :
Given the average range of the holes drilled = 0.10 cm
The average diameter of the holes drilled = 0.25 cm
The sample size = 4
For the sample size of 4, the factor for control limit for the range ([tex]D_4[/tex]) = 2.28 (From the table of constants for X-bar and R-chart)
The upper control limit for the R-chart = R-bar x [tex]D_4[/tex]
= 0.10 x 2.28
= 0.228
Therefore, the answer is greater than 0.202 but less than or equal to 0.302
What is the common ratio for the geometric sequence below, written as a fraction?
768, 480, 300, 187.5, …
/
Answers
9514 1404 393
Answer:
5/8
Step-by-step explanation:
Since the ratio is common, it can be found from the ratio of any pair of adjacent terms.
r = 480/768 = (5·96)/(8·96) = 5/8
The common ratio is 5/8.
