The measure of arc XY is 85 degrees. The measure of arc WZ is 25 degrees. What is the measure of angle 3?
Answers
Given:
Consider the below figure attached with this question.
To find:
The measure of angle 3.
Solution:
According to intersecting secant theorem, if two secants of a circle intersect each other outside the circle, then the angle on the intersection is half of the difference of the intercepted arc.
[tex]\text{Angle on intersection}=\dfrac{1}{2}(\text{Major arc}-\text{Minor arc})[/tex]
Using the intersecting secant theorem, we get
[tex]m\angle 3=\dfrac{1}{2}(m(arcXY)-m(arcWZ))[/tex]
[tex]m\angle 3=\dfrac{1}{2}(85^\circ-25^\circ)[/tex]
[tex]m\angle 3=\dfrac{1}{2}(60^\circ)[/tex]
[tex]m\angle 3=30^\circ[/tex]
Therefore, the measure of angle 3 is 30 degrees.
Answer: 30 degrees
Step-by-step explanation:
need the points
Related Questions
Which is NOT a proposition
A. Marlon is eating his lunch
B. Will you be at school tomorrow.
C. The earth is rectangular
D. 10 + 5 = 15
Answers
Answer:the answer is b
Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped
Question and choices are in the photo please explain the answer
Answers
Step-by-step explanation:
but sorry i can't get the answer of (2x-1) =3 (x+5) because the answer of this came -16
PLEASE PLEASE PLEASE SOMEONE HELP ME THIS IS DUE TODAY
EXPLAINING YOUR ANSWER = BRAINLIEST
What is m∠E?
Answers
Answer:
try 144
Step-by-step explanation:
m<E is basically just ot asking you to find the angle of E, i think :').
And since all angles equal to 180, 180-36=144
(hope ots right)
David is six times older than Janet. If David is 48 years old, how old is Janet?
Answers
Answer:
David is six times older than Janet. If David is 48 years old, how old is Janet? Janet is 8 years old.
Step-by-step explanation:
48÷6=8
4,570= 3thousands+___hundreds+ 7 tens
Answers
Answer: 4 thousands, 5 hundreds, 7 tens
Step-by-step explanation: 4,570 is pretty easy to break down. The first place value is 0 so nothing for that. As you have it there the tens place values has 7. Next is hundreds and there's a 5 there so 5 hundreds. If the number is 4,570 then it should be 4 thousands not three.
Evaluate the expression 4 to the power of 3 ÷ (7 − 3) × 2.
Answers
Answer:
5.0625 is 1.5 to the fourth power
Answer:
8
Step-by-step explanation:
4 to the power of 3 is 64.
64 ÷ (7 − 3) × 2
64 ÷ (4) × 2
64 ÷ 8
8
Your answer is 8.
I hope this helps, have a nice day.
15 cm
10 cm
o
10 cm
Diagram NOT accurately drawn
The diagram shows a sector of a circle, centre 0, radius 10 cm.
The arc length of the sector is 15 cm.
Calculate the area of the sector.
Answers
Answer:
221cm squre
Step-by-step explanation:
The ratio of coloured papers to wight papers is 3:8.If there are 48 wight papers, how many coloured papers are there?
Answers
Answer: The total number of colored papers is 18.
Step-by-step explanation:
Given: The ratio of coloured papers to wight papers is 3:8.
Let total number of colored papers = 3x
and total number of wight papers = 8x
Since, there are 48 wight papers , then
[tex]8x=48[/tex]
[tex]\Rightarrow\ x=6[/tex]
Now , number of colored papers = 3(6)=18
Hence, the total number of colored papers is 18.
if a:b=1:3 and b:c=5:8 what's a:c
need steps pls
Answers
Answer:
a:c=1:8
Step-by-step explanation:
a:b=1:3
therefore a=1 and b=3
b:c=5:8
therefore b=5 and c=8
then,
a:c=1:8
Answer:
a : c = 5 : 24
Step-by-step explanation:
[tex]a : b = 1 : 3\\\\\frac{a}{b} = \frac{1}{3} \ => b = 3a\\\\b : c = 5 : 8 \\\\ \frac{b}{c} = \frac{5}{8} \ => \ \frac{3a}{c} = \frac{5}{8}[/tex] [tex][substituting \ b = 3a ][/tex]
[tex]\frac{a}{c} = \frac{5}{24}[/tex]
[tex]=> a : c = 5 : 24[/tex]
Jenna sells apples and pears. If 20 apples and 60 pears re sold every hour, there will be 80 pears when all the apples are sold. If 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold. How many pears are there at the stall?
Answers
Answer:
There are 1,360 pears.
Step-by-step explanation:
Suppose that there are P pears and A apples.
We know that:
"If 20 apples and 60 pears are sold every hour, there will be 80 pears when all the apples are sold."
Suppose that all of these are sold after N hours, then:
20*N = A
80*N = P - 80
We also know that:
"if 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold."
60*N = A
20*N = P - 400
Then we have four equations:
20*N = A
80*N = P - 80
60*N = A
20*N = P - 400
From the first one and the second one, we get:
20*N = A = 20*N = P - 400
A = P - 400
Now we have 3 equations:
80*N = P - 80
60*N = A
A = P - 400
Now we can just replace the third equation into the second one, then we get:
60*N = A = P - 400
Now we have two equations:
80*N = P - 80
60*N = P - 400
Now, remember that we want to find the number of pears, so we want to find the value of P.
To do it, we can take the quotient of the two equations, so we get:
(80*N)/(60*N) = (P - 80)/(P - 400)
8/6 = (P - 80)/(P - 400)
Now we can solve this for P
(8/6)*(P - 400) = P - 80
(8/6)*P - (8/6)*400 = P - 80
(8/6)*P - P = (8/6)*400 - 80
(2/6)*P = (8/6)*400 - 80
P = (6/2)*( (8/6)*400 - 80 )
P = 3*( (8/6)*400 - 80 ) = 1,360
There are 1,360 pears.
Write an equation that passes through the points (3, 6) and (1,-1)
Answers
m = y2 - y1
x2 - x1
= -1 - 6
1 - 3
= -7 / (-2)
= 7/2
y = m(x - x1) + y1
y = 7(x - 3) + 6
2
2y = 7x - 21 + 12
2y = 7x - 9
Answer:
y = 7/2x - 9/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - 6 / 1 - 3
-7 / -2
7/2
y = 7/2x + b
-1 = 7/2(1) + b
-1 = 7/2 + b
-9/2 = b
x is a positive integer and 15x - 43 < 5x + 2. Work out the possible values of x.
Answers
Answer:
x = 1, 2, 3, 4
Step-by-step explanation:
15x - 43 < 5x + 2
15x - 5x - 43 < 2
15x - 5x < 2 + 43
10x < 45
x < 4.5
x = 1, 2, 3, 4
The required value of the x in the given inequality is x < 4.5.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
Given expression,
15x - 43 < 5x + 2
Adding 43 on both sides,
15x < 5x + 45
Subtract 5x from both sides,
10x < 45
Divide the inequality by 10
x < 4.5
Thus, the required value of the x in the given inequality is x < 4.5.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ2
pls pls pls help don't ignore imma fail
Answers
Answer:
6 as b
7 as a
Step-by-step explanation:
if indeed the scale is 3 to 1, this is correct! the answer is B
Please help me. Study island is hard
Answers
Answer: 5/12
Step-by-step explanation:
13-7 = 5
16-4 = 12
A water pail in your backyard has a small hole in it. You notice that it has drained a total of 2.5 liters in 4 days. What is the average change in water volume each day?
Answers
Answer:
0.625 liters
Step-by-step explanation:
Given data
volume drained= 2.5Liters
Time= 4 days
Now the if 4 days leakage will produce a volume of 2.5Liters
Then 1 day will produce a volume of x liters
cross multiply
4x= 2.5
x= 2.5/4
x= 0.625 liters per day
Hence, each day will produce 0.625 liters
if m 7=99 degrees and m 1=32 degrees then what is m 4 + m 5
Answers
Answer:
229°
Step-by-step explanation:
(180- 32) + (180 - 99)
148 +81
= 229°
Please help me with this question...
Answers
Answer:
my answer is in this picture. sorry about my presentation and English
convert: 1 hour to seconds
Answers
1 min = 60 seconds
1 hour = 60 mins = 60 x 60 = 3600 seconds .
What additional information is needed to prove the triangles congruent by SSS
Answers
Answer:
Angle a = Angle D
Answer:
A: Angle A Angle D
Step-by-step explanation:
Please help me on this problem, im struggling
Answers
Answer:
a
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
in fact if we look at the graph we can see that sausages are 7.5 % and mushrooms 5%, while in the table this datas are inverted.
Helpppppppppppp..!!!!!’nnnnmmmm
Answers
Step-by-step explanation:
heyYYYYYYYY I HAVE AGREAT APP FOE U. it's called algebrator use that and it'll help ya
Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?
(__,__ )
Answers
Answer:
If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12).
Actually... It's from web
Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?
Answers
Answer:
pythagorean theorem
18
Step-by-step explanation:
Can someone please help me solve this
20 points to the person who can help me solve
Answers
Answer:
7/15
Step-by-step explanation:
P(appetizers with cheese) = number with cheese / total = 1/5
P(entrees with cheese) = number with cheese / total = 1/3
It is the P(a) + P(b) - P(a and b)
We cannot double count the cheese and cheese event)
P( cheese and cheese) = 1/3 * 1/5 = 1/15
1/5 + 1/3 - 1/15
3/15 + 5/15 -1/15
8/15 - 1/15
7/15
first answer gets most brainley
Answers
Answer:
What are we supposed to do on this
Step-by-step explanation:
Answer: the dilated point will be 2 units at the right of P, and 3 units above P.
Step-by-step explanation:
If f(x)= 2x^5-3x^3+2x^2+1, then f(1)=?
A. -1
B. 0
C. 1
D. 2
E. 4
Answers
Answer:
2
Step-by-step explanation:
f(x)= 2x^5-3x^3+2x^2+1
Let x=1
f(1)= 2(1)^5-3(1)^3+2(1)^2+1
= 2*1 -3*1+2(1) +1
= 2-3+2+1
2
[tex] \tt{if \: \: f(x) = 2 {x}^{5} - 3{x}^{3} + 2 {x}^{2} + 1 \: \: then \: \: f(1) = ?}[/tex]
Let's try![tex]\quad \quad \quad \quad \tt{f(x) = 2 {x}^{5} - 3 {x}^{3} + 2 {x}^{2} + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 {(1)}^{5} - 3 {(1)}^{3} + 2 {(1)}^{2} + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 (1) - 3 (1) + 2 (1) + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 + 2 + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 +3}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 \: \: \cancel{ \color{red}- 3 +3}}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 }[/tex]
Hence, The answer is:[tex]\quad \quad \quad \quad \huge\boxed{\tt{ \color{green}f(x) = 2 }}[/tex]________
#LetsStudy
Can someone please help me with this question
Answers
Answer:
If x is the one vertically opposite to 40, then x will be 40, due to vertically opposite angles.
find the volume of a cylinder with radius 5 and surface area 180pi
Answers : either 200pi or 325pi help !
Answers
Answer:
The volume of a cylinder is 325π.
Step-by-step explanation:
The volume of a cylinder is given by:
[tex]V = \pi r^{2}h[/tex]
Where:
h: is the height
r: is the radius = 5
We can find "h" from the surface area of the cylinder:
[tex]SA = 2\pi rh + 2\pi r^{2} = 180\pi[/tex]
[tex] h = \frac{180\pi - 2\pi r^{2}}{2\pi r} = \frac{180\pi - 2\pi (5)^{2}}{2\pi*5} = 13 [/tex]
Hence, the volume is:
[tex]V = \pi r^{2}h = \pi*(5)^{2}*13 = 325 \pi[/tex]
Therefore, the volume of a cylinder is 325π.
I hope it helps you!
how can the position of a certain value in a given set of data be described and used in solving real-life problems?
Answers
Percentiles
Assume that the elements in a data set are rank ordered from the smallest to the largest. The values that divide a rank-ordered set of elements into 100 equal parts are called percentiles.
An element having a percentile rank of Pi would have a greater value than i percent of all the elements in the set. Thus, the observation at the 50th percentile would be denoted P50, and it would be greater than 50 percent of the observations in the set. An observation at the 50th percentile would correspond to the median value in the set.
Quartiles
Quartiles divide a rank-ordered data set into four equal parts. The values that divide each part are called the first, second, and third quartiles; and they are denoted by Q1, Q2, and Q3, respectively. The chart below shows a set of four numbers divided into quartiles.
Eight numbers: 1, 2, 3, 4, 5, 6, 7, 8
Note the relationship between quartiles and percentiles. Q1 corresponds to P25, Q2 corresponds to P50, and Q3 corresponds to P75. Q2 is the median value in the set.
While measures of central tendency, dispersion, and skewness are used often in statistics, there are other methods of characterizing or describing data distributions or portions that are commonly used as well. We will examine several of these statistical measures, some of which you may already know or have seen elsewhere.
Standard Scores (z-Scores)
A standard score (aka, a z-score) indicates how many standard deviations an element is from the mean. A standard score can be calculated from the following formula.
z = (X - μ) / σ
where z is the z-score, X is the value of the element, μ is the mean of the population, and σ is the standard deviation.
Here is how to interpret z-scores.
A z-score less than 0 represents an element less than the mean.
A z-score greater than 0 represents an element greater than the mean.
A z-score equal to 0 represents an element equal to the mean.
A z-score equal to 1 represents an element that is 1 standard deviation greater than the mean; a z-score equal to 2, 2 standard deviations greater than the mean; etc.
A z-score equal to -1 represents an element that is 1 standard deviation less than the mean; a z-score equal to -2, 2 standard deviations less than the mean; etc.
What does b stand for in this equation?
3b=12
A 1
B 2
C 3
D 4
Answers
Answer:
4
Step-by-step explanation:
3b=12
Divide each side by 3
3b/3 =12/3
b =4
Answer:
D. 4Step-by-step explanation:
Given,
3b = 12
=> b = 12 ÷ 3
=> b = 4 (Ans)
