Answers
Answer:
71°
Step-by-step explanation:
ABD is alternate to DEB. Therefore ADB = DEB = 71°
The required size of angle ABD is 71.
What is alternate segment theorem?The theorem states that “For any circle, the angle formed between the tangent and the chord through the point of contact of the tangent is equal to the angle formed by the chord in the alternate segment”.
Now it is given that,
angle DEB = 71
Also given that B is the point on the circumference of the circle, and suppose “O” be the centre of the circle.
Now, AC is the tangent of the circle that passes through point B.
The tangent makes an angle ABD with the chord BD.
Now, given that ∠DEB = 71 in the alternate segment.
Now, we have to prove that ∠ABD = 71.
Thus, OD =OB (Both are the radii of the circle)
Also, ∠ODB = ∠OBD (since the angles opposite to the equal sides are equal)
Since, OBD is an isosceles triangle
∠BOD = 180° – ∠ODB – ∠OBD
∠BOD = 180° – 2∠OBD …(1)
Since, the line segment AC is the tangent line,
∠OBA = 90°
Therefore, ∠OBA = 90° – ∠OBD …(2)
From the equations (1) and (2), we can write
∠AOB = 2∠DEB
We know that the angle at the centre of the circle is twice the angle at the circumference of the circle.
∠BOD = 2∠DEB
∠DEB = (½)∠BOD
Now, substitute ∠BOD = 2∠DEB in the above equation, we get
∠DEB = (½)2∠DEB
∠DEB = ∠DEB
⇒ ∠DEB =71
Thus, the required size of angle ABD is 71.
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Related Questions
i thought of a number, increased it by nine, and then multiplied by 6. the resulting number was 282. what was my number
Answers
Answer:
n+9)6=282
n+9=47
n=38
Step-by-step explanation:
Answer:
38
Step-by-step explanation:
282/6=47
47-9=38
What is the missing reason in the proof?
Prove –(–y – x) – x = y
Statements Reasons
–(–y – x) – x = –[–y +(–x)] – x Definition of subtraction
–[–y +(–x)] – x = y + x – x Opposite of a sum property
y + x – x = y + x + (–x) Definition of subtraction
y + x + (–x) = y + [x + (–x)] Associative Property of Addition
y + [x + (–x)] = y + 0 Additive Inverse Property
y + 0 = y ________________________
Additive Identity Property
Opposite of a Sum Property
Additive Inverse Property
Symmetric Property
Answers
Answer: the answer is additive identity property i just took the test
Step-by-step explanation: i hope this helps
"in the table below, Identify the figure,find it's perimeter, and find it's area.". <- that's the question
Answers
Answer:
✔️Quarter circle
✔️Area = 38.5 cm² (nearest tenth)
✔️Perimeter = 25.0 cm (nearest tenth)
Step-by-step explanation:
✔️The figure given is a ¼ circle
Radius is given as = 7 cm
✔️Area = ¼(πr²)
Plug in the value of r
Area = ¼(π*7²)
Area = ¼(π*49)
Area = 38.5 cm² (nearest tenth)
✔️Perimeter = ¼(2πr) + 2r
Plug in the value of r
Perimeter = ¼(2*π*7) + 2(7)
Perimeter = ¼(14π) + 14
Perimeter = 25.0 cm (nearest tenth)
What is the Estimate of 469.4 ÷ 62?
Answers
The value of the given division 469.4 ÷ 62 will be 7.57.
What is the arithmetic operation?In mathematics, the arithmetic operation has four main operators such as addition, subtraction, multiplication, and division.
The symbol of + represents addition.
The symbol of - represents subtraction
The symbol of × represents multiplication
The symbol of ÷ represents division.
Given the division,
469.4 ÷ 62
⇒ 7.570967742
Rounded to the nearest tenth decimal place
⇒7.57
Hence "The resultant of the 469.4 ÷ 62 is 7.57 ".
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Raelynn and Kiara are both getting their nails done today. Raelynn gets her nails done every 9 days. Kiara gets her nails done every 12 days. In how many days will they be at the nail salon on the same day again?
Answers
Answer: The answer is 4 /3 .
You need to make the numbers 12 and 9 into a fraction like this 12 /9 and go to a calculator on a website that is not blocked and enter 12 /9 . the calculator on the website will show the answer of the problem . If you working this problem , the answer is 4 /3 . you need put the fraction first before will answer appears . thank you for asking for question .
The mean number of patients admitted per day to the emergency room of a small hospital is 3. If, on any given day, there are only 8 beds available for new patients, what is the probability that the hospital will not have enough beds to accommodate its newly admitted patients?
Answers
i think there are some mistakes in the question, Please check once again! :)
can someone help me algebra 1
Answers
There are 17 more boys than girls at Juab Junior
High School. If there are a total of 981 students
there, how many students are boys?
Answers
A track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters. The population mean is 62.95 inches with a standard deviation of 5.65 inches.
What is the standard error of the sample mean? Round your answer to the nearest hundredth.
The standard error of the sample mean is approximately ______.
Answers
Answer:
The standard error of the sample mean (S.E) = 0.7835
Step-by-step explanation:
Explanation:-
Given mean of the Population = 62.95 inches
Given standard deviation of the Population = 5.65 inches
The standard error of the sample mean is determined by
[tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]
[tex]S.E = \frac{5.65}{\sqrt{52} } = 0.7835[/tex]
The standard error of the sample mean is approximately (S.E) = 0.7835.
What is the standard error?It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.
Supopse that we're given that:
Population standard deviation =[tex]\sigma[/tex]
Size of sample we're working on = n
Then, the standard error can be calculated as:
[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]
where SE denotes the standard error.
A track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters.
The population means is 62.95 inches with a standard deviation of 5.65 inches.
The mean of the Population = 62.95 inches
The standard deviation of the Population = 5.65 inches
The standard error of the sample mean can be determined by
[tex]= \dfrac{Standard deviation }{\sqrt{sample size}}\\\\\\= \dfrac{5.65 }{\sqrt{52}}\\= 0.7835140[/tex]
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Which equation represents a proportional relationship?
1. Y=x+3
2. Y=x-9
3. Y=7x
4. Y=4x+1
Answers
Pls help me with number 20 and you get 5 star and brainliest
Answers
Answer:
it is equal
Step-by-step explanation:
because they both have 90 86 and 84
can someone pls help!!
i need this in in 5 minutes!
Answers
Answer:
48x²
Step-by-step explanation:
Area of rectangle=(a×b)
=8x×6x
=48x²
Convert to a 4/9 to a decimal?
Group of answer choices
4.9
0.49
0.444
0.494949
Answers
Answer:
0.444
Step-by-step explanation:
use the fraction bar as a division sign and solve the problem!
BRAINLIEST
Which measurements could NOT represent the side lengths of a right triangle?
Answers
Answer:
c
Step-by-step explanation:
10 is to high compared to 6
PLEASE HELP ME WITH THIS!!!!!!
Answers
Answer:
[tex]\boxed{\pink{\bf Yes \ \angle L = \angle O . }}[/tex]
Step-by-step explanation:A figure is given to us in which ML = MO . And we have to Prove ∆ MLN [tex]\cong[/tex] ∆ MON .
Hence here , in ∆ MLN & ∆ MON ,
ML = MO ( given ) ∠LMN = ∠MON ( Given ) MN = MN ( Common)Hence by SAS congruence condition
[tex]\boxed{\red{\bf \triangle MLN \cong \triangle MON}}[/tex]
____________________________________
(ii) Yes ∠ L = ∠ O will be equal to each other .( by cpctc )
Extra Information :-The congruence conditions for two ∆s are :-
1) SAS ( Side Angle Side )
→ Two triangles are said to be congruent by SAS if two respective sides of the two triangles and the included angle between two sides are equal.
2) AAS ( Angle Angle Side )
→ Two triangles are said to be congruent by AAS if two angles and one side of triangle is congruent to other two angles and one side of the triangle .
3) SSS ( Side Side Side )
→ Two triangles are said to be congruent by SAS if all the three sides of one triangle is equal to three sides of the other triangle.
4) RHS ( Right Hypotenuse Side )
→ In two right-angled triangles, if the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are congruent.
HELP! I will mark BRAINLIEST please!
Answers
Answer: A
Step-by-step explanation:
In this equation, the largest exponent is odd, so the two ends are going in different directions. Since the leading coefficient is positive, the left side is going down, while the right side is going up.
As y approaches negative infinity (goes down), x approaches negative infinity (goes left).
Simplified: as the y value decreases, the x value decreases.
As y approaches infinity (goes up), x approaches infinity (goes right).
Simplified: as the y value increases, the x value increases.
FRQ 2
At a particular coffee shop, 92% of customers order a beverage, 3% of customers order food alone (order food and not a beverage), and 12% of customers order food and a beverage. Suppose we randomly select a customer. Let B = the customer orders a beverage and F = the customer orders food.
a) What is P(F)? Interpret this value in context.
b) What is the probability that the customer orders food given that they order a beverage? Write this event in symbolic form and find the probability.
c) If 180 customers are randomly selected, how many of them can we expect to order neither food nor a beverage? Justify your response.
Answers
Answer:
a) P(F) = 0.15
b) P(F/B) = 0.13
c) 5% customers order neither food not beverage.
Further explanation is in the explanation section
Step-by-step explanation:
Solution:
Data given:
B = The customer orders a beverage
F = The customer orders food.
F + B = The customers order food and a beverage.
Percentage share:
F = 3%
B = 92%
F + B = 12%
a)
So, the Probability of B, the customer orders a beverage will be:
P(B) = 92% = 0.92
Probability of (F+B), the customers orders food and beverage will be:
P(F ∩ B) = 12% = 0.12
And we know that, 3% customers order food alone so,
P(F) - P(F ∩ B) = 3% = 0.03
So,
P(F) = (P(F) - P(F ∩ B)) + P(F ∩ B)
P(F) = 0.03 + 0.12
P(F) = 0.15
It means that 15% customer order food only.
b) Probability that the customer orders food given that they order a beverage.
P(F/B) = (Probability that the customer orders food given that they order a beverage.)
P(F/B) = P(F∩B)/P(B)
P(F/B) = 0.12/0.92 = 0.13
P(F/B) = 0.13
Symbolic form of the required probability is = P(F/B)
c) If 180 customers are randomly selected, how many of them can we expect to order neither food nor a beverage?
Probability of ordering food and beverage will be:
P(F U B)
So,
Probability of ordering neither food nor beverage will be = 1 - P(F U B)
And,
P(F U B) = P(F) + P(B) - P(F ∩B)
P(FUB) = 0.15 + 0.92 - 0.12
P(FUB) = 0.95
Probability of ordering neither food nor beverage will be = 1 - P(F U B)
Probability of ordering neither food nor beverage will be = 1 - 0.95
Probability of ordering neither food nor beverage will be = 0.05
Hence, 5% customers order neither food not beverage.
So, we have selected 180 random people so, 5% of 180 =
number of people order neither food nor beverage = 5/100 x 180
number of people order neither food nor beverage = 9 people
It means we can expect out of 180 people, 9 people will not order food or beverage.
(10 POINTS) Given the following formula, Solve for a.
S= a+b+c/2
A. A= s- b+c/2
B. A= 2s - b + c
C. A= 2s - b - c
D. A = s - b-c/2
Answers
Answer:
C. a = 2s - b - c
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
[tex]\displaystyle s = \frac{a + b + c}{2}[/tex]
Step 2: Solve for a
Multiply 2 on both sides: [tex]\displaystyle 2s = a + b + c[/tex]Subtract b on both sides: [tex]\displaystyle 2s - b= a + c[/tex]Subtract c on both sides: [tex]\displaystyle 2s - b - c = a[/tex]Rewrite: [tex]\displaystyle a = 2s - b - c[/tex]Simplify and Factorise a(a + b - c) - bc
Answers
Step-by-step explanation:
[tex] = a(a + ab - c) - bc[/tex]
[tex] = {a}^{2} + {a}^{2} + ab - ac - bc[/tex]
[tex] = {2a}^{2} + ab - ac - bc[/tex]
The ratio of boys to girls in Ms. Reedus's classroom is 2 to 3. There are 18 girls in the classroom. What is the total number of students in Ms. Reedus's class?
Answers
Answer: The final answer is 30.
Step-by-step explanation: The question says the ratio is 2 boys : 3 girls. There are 18 girls. Well, how did you get from 3 to 18? You multiply by 6. But whatever you do to the denominator you have to do with the numerator. So, multiply 2 and 6. That gives you 12 boys and 18 girls. Adding 12 and 18 gives you 30. Therefore, there are 30 students in the whole class.
11. Solve the linear inequality.
- 17x + 2 < - 10x - 19
a. x > - 3
b. x < - 3
c. x > - 1
d. x < 3
e. x > 3
Answers
Answer:
Your answer is E
Step-by-step explanation:
Here you go mate
Step 1
-17x+2<-10x-19 Equation/Question
Step 2
-17x+2<-10x-19 Simplify
-7x<-21
Step 3
−7x<−21 Use 7 to divide
answer
So therefore x>3
help me plz i need to do this
Answers
5
(a)
Let u and v be non-zero vectors such that v is a unit vector. Show that |u•v|<|u|.When does
equality occur? Explain your reasoning.
[3]
(b)
Show that if x and y are non-zero parallel vectors, then X×Y=0.
[2]
(c)
Referred to the origin o, points A and B have position vectors a and b respectively. Let C be a
variable point with position vector 2(a - b). Show that the area of AABC is independent of 2. [2]
Answers
Answer:
5
(a)
Let u and v be non-zero vectors such that v is a unit vector. Show that |u•v|<|u|.When does
equality occur? Explain your reasoning.
[3]
(b)
Show that if x and y are non-zero parallel vectors, then X×Y=0.
[2]
(c)
Referred to the origin o, points A and B have position vectors a and b respectively. Let C be a
Which object has volume?
a bottle of orange paint
a soccer pitch
a playing card
a stop sign
Answers
Answer:
All of them but the biggest is soccer pitch
Step-by-step explanation:
Volume is how much something takes up of space.
I GIVE BRAINLIEST
Points A and B have opposite x-coordinates but the same y-coordinates.
On a coordinate plane, point A is 2 units to the left and 3 units up. Point B is 2 units to the right and 3 units up.
How many units away are each of the points from the y-axis?
Answers
Answer:2
Step-by-step explanation:toke the test
The number of units away from each of the points from the y-axis will be 2.
What is the distance between two points?It is the measure of distance between the two points and is known as length. The length is measured in meters generally.
Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
The points are given below.
A(-2, 3) and B(2, 3)
The coordinate of the points that lie on the y-axis is (0, 3).
Then the distance from point A will be given as,
D² = (-2 + 0)² + (3 - 3)²
D² = 4
D = 2
Then the distance from point B will be given as,
D² = (2 + 0)² + (3 - 3)²
D² = 4
D = 2
The number of units away from each of the points from the y-axis will be 2.
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Solve for X: 9 (4 - x) = 2 (x + 7)
Thank you for your time and assistance.
Answers
2 x X= 2x 2 x 7 = 14
36 - 9x = 2x + 14
+ 9x +9x
36= 11x + 14
-14 -14
22= 11x
—- —-
11x 11x
x = 2
hope that made sense
Answer:
2.0909=x
Step-by-step explanation:
9 (4 - x) = 2 (x + 7)
(9*4)-(9*x)=(2*x)+(2*7)
37-9x=2x+14
23=11x
23/11
2.0909=x
need some help!
help giving 10 points
Answers
Answer:
The remaining lenghts are [tex]x = 20.364\,cm[/tex] and [tex]y = 12.925\,cm[/tex].
Step-by-step explanation:
Given that there are two triangles opposite to each other and between two parallel lines, then both are similar, meaning than following relationships exist:
[tex]\frac{AC}{CD} = \frac{BC}{CE} = \frac{AB}{DE}[/tex] (1)
If we know that [tex]AC = 11\,cm[/tex], [tex]CD = 28\,cm[/tex], [tex]BC = 8\,cm[/tex] and [tex]DE = 32.9\,cm[/tex], then the missing lengths are, respectively:
[tex]\frac{11\,cm}{28\,cm} = \frac{8\,cm}{x}[/tex]
[tex]x = \frac{(28\,cm)\cdot (8\,cm)}{11\,cm}[/tex]
[tex]x = 20.364\,cm[/tex]
[tex]\frac{11\,cm}{28\,cm} = \frac{y}{32.9\,cm}[/tex]
[tex]y = \frac{(11\,cm)\cdot (32.9\,cm)}{28\,cm}[/tex]
[tex]y = 12.925\,cm[/tex]
The remaining lenghts are [tex]x = 20.364\,cm[/tex] and [tex]y = 12.925\,cm[/tex].
solve for v, if u=15, a=8, and t=2 v=utat
Answers
[tex]\bold{Hey\ there!}[/tex]
[tex]\bold{v=u+at}[/tex]
[tex]\bold{u=15}}[/tex]
[tex]\bold{a=8}[/tex]
[tex]\bold{t=2}[/tex]
[tex]\bold{New\ equation: v =15+8(2)}[/tex]
[tex]\bold{15+8(2)}\\ \bold{8(2)=16}\\\bold{15+16=31}[/tex]
[tex]\boxed{\boxed{\bold{{Answer:v= 31}}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
What is the largest number that is a factor of both 12 and 20?
Answers
The expression 2.4x−3.9y−1.2x+ay is equivalent to 1.2x+1.2y.
What is the value of a?
Answers
The value of a from the given mathematical expression is 5.1.
Given the following data:
[tex]2.4x-3.9y-1.2x+ay[/tex][tex]1.2x+1.2y[/tex]To determine the value of a:
How to solve these mathematical expressions.In this exercise, you're required to solve for the value of a from the given mathematical expression. Since the two (2) mathematical expressions are equivalent (equal), we would go ahead to equate them as follows:
[tex]2.4x-3.9y-1.2x+ay = 1.2x+1.2y[/tex]
Simplifying the equation, we have:
[tex]2.4x-3.9y-1.2y+ay-1.2x-1.2x = 0 \\\\2.4x-5.1y+ay-2.4x = 0\\\\-5.1y+ay=0\\\\ay=5.1y[/tex]
a = 5.1
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