Q14)
Points A, B and C lie on the circumference of a circle and DE is the
tangent to the circle at A. Angle DAB = 79º and angle EAC = 37º.
2
Find the sizes of angles x and y.
Not to scale
Give a reason for your answers.
B
7
[Total 3
790
1370
E
A
Answers
Answer:
x = 37
y = 79
Step-by-step explanation:
Remark
We are going to go through an extensive discussion of the value of x. The value for y is found exactly the same way.
Top diagram.
The top diagram establishes the fact that if any two points are on the major arc of the circle whose center is 0, then the vertex of the of the two angles so formed are equal. The end points of these two angles must be established by the endpoints of the chord A and B.
Put in much simpler language.
<ACB = <AC'B
The end points of the angles are A and B of the Chord AB.
The Vertex of the angles are both on the major arc of the circle. These two are C and C'
Bottom Diagram
The idea here is to find the value of C. If we do that, then we know what x is in the diagram you provided.
Draw diameter COA Construction
< CAB = 90 Any vertex (C) on circumference with diameter endpoints (A & C) = 90
<CAT_1 = 90 A diameter always meets a tangent at 90o
<BAT_1 = 37 Given
<CAB = 90-37 <CAB and <BAT_1 are complementary
<ACB = 37 A right triangle's acute angles are complementary.
<ACB = x = 37o See top diagram
Related Questions
Evaluate the expression
Answers
Answer:
(A) 5/6
Just get the square root of 25/36
The
of-6 is 6, because it is 6 units from zero on
the number line.
Answers
Answer:
Solution in photo
Step-by-step explanation:
For 5-8, cis the hypotenuse of the right triangle ABC with sides a, b, c
5. a = 12, b = 5,c=?
6. a = 8,b=?,c= 10
7. a = 2,6 = 9,c=15
8. a = 12, b=3,c=?
Answers
Answer:
Step-by-step explanation:
6) this is a 3, 4, 5 triangle in disguise as an x,8,10.. yes , if you guessed 6 for b you're correct
Please solve this step by step! Thanks :>
Answers
Answer:
47.80
Step-by-step explanation:
jejjdbdiehejee
Jen says that the solutions of the inequality -2(3 – x) > 2x – 6 are all real numbers. Do you agree with your friend? Explain. What if the inequality symbol were ≥?
Answers
Answer:
I disagree
'No it won;t
Step-by-step explanation:
Given the inequality functions;
-2(3 – x) > 2x – 6
Open the parenthesis
-2(3) -2(-x) > 2x - 6
-6 + 2x > 2x - 6
Collect like terms
2x-2x > -6 + 6
0x > 0
x > 0/0
The value of x does not exist on any real number. I disagree with my friend since the value of x is an indeterminate function. If the inequality were ≥, it won't change anything as the value of x won't still exist on any real number
please help me with the question
Answers
1 = 100
1.4 = 140
Solution: 140%
The answer is 140%
1.4 x 100 = 140%
what is the value of the expression 6
off 6 +18 ÷ 3x4
Answers
Answer:-7+xY10(2,-2)
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "x4" was replaced by "x^4". 2 more similar replacement(s).
Unauthorized use of the imaginary unit "i" or syntax error in complex arithmetic expression
.............. V
valueofression^6;off^6+18/3x^4
The symbol "i" is only allowed in complex arithmetic, for example:
(3/5+7i)+(0.3-7.002i)
(5+77i)-(19/4-8i)
(240-22i)*(247/7+2.222i)
(33/5+99i)/(33/5-88i)
Too Many Variables
.................... V
v*a*l*u*e*o*f*r*e*s*s*i*o*n^6;o*f*f^6+18/3*x^4
Program Execution Terminated
Answer:
in the order PEMDAS the first thing you would do is divide 18/3=6 then multiply 6×4=24 then add 24+6=30. I hope that helps!
Morgan knows that 3 gallons of water weigh 25 pounds. How much do 10 gallons of water weigh
Answers
1. Divide 25 by 3 = 8.3 lbs per gallon
2. Multiply 8.3 times 10
It Costs $4 to skate each hour and there is a one-time fee of $5 for the skate rental. Which expression represents the cost to skate for someone who has to rent skates?
Answers
(01.02 MC)which value is equivalent to 8x4x2
Answers
Answer:
64
Step-by-step explanation:
Multiplication
8 * 4 = 32
32* 2 = 64
Dos campañas suenas a intervalos de 26 y 78 minutos respectivamente ¿A que hora sonarán juntas otra vez si empieza simultáneamente a las 12 del mediodía
Answers
What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?
Answers
Answer: use math.......way
Step-by-step explanation
A large bakery mass produces cakes on an assembly line. Each shift, a quality control expert randomly selects
one of the first ten finished cakes, and every tenth cake thereafter. Employees weigh those cakes and give the
cakes a detailed visual check.
What type of sample is this?
Answers
Answer:
systematic random sample
Step-by-step explanation:
10 points 10 questions
Answers
Answer:
i diddnt get 10 points?
Step-by-step explanation:
t y ad 20
Answer: This is five points
Step-by-step explanation:
Solve the following any quality and write the solution in set form and then graph the solution set
Answers
Answer:
Step-by-step explanation:
We need to isolate "x" on one side of the inequality symbol, then we divide both sides by "-3", recalling that dividing by a negative number changes the direction of the inequality:
- 3 x < - 15
x > (-15) / (-3)
x > 5
Which can be represented on the number line as shown in the attached image.
If one angle of a linear pair of angles is 75degrees, find the other angle
Answers
Answer:
105
Step-by-step explanation:
Because a line equals 180 just add them together
please help I did not get what I was supposed to do
Answers
Answer:
See below
Step-by-step explanation:
[tex] \sqrt[3]{49} = 3.65930571002 \approx3.66 \\ \\ so \: \sqrt[3]{49} should \: lie \: at \: 3.6 \: which \: \\ fall \: between \: 3 \: and \: 4.[/tex]
Actually Lin did a mistake, she obtained square root and not cube root.
Answer with Explanation:
[tex]3\sqrt{49}[/tex] should be placed in-between 3 and 4 on the number line (a little bit approaching number 4). The cube root of 49 is 6.66. Therefore, it shouldn't be placed on number 7.Lin thought that she was asked to get the square root of 49, which looks like this: [tex]\sqrt{49}[/tex]. Probably, she missed the number 3. It was actually asking for the cube root of 49. This is also the reason why she placed the dot on the number 7 because the square root of 49 is 7.
Joelle wants to place an oversized image which is 30.51 cm wide so that it appears centered on the page. The width of the page is 21.59 cm. In the program, horizontal positions to the right of the leftmost edge of the page are positive. What horizontal position for the left edge of the image should Joelle use to center the image?
Answers
-4.46cm
Step-by-step explanation:
The horizontal midpoint of the page is;
The horizontal midpoint of the image is given as;
For the image to be centered, these to midpoints must be on the same point in the axis.
If we take the leftmost edge of the paper to be point zero on the axis, then, the distance accommodated by the paper is 10.795cm. The distance that goes beyond this leftmost edge is computed as;
On the axis, this is on the negative side. Therefore, the horizontal position for the left edge of the image that Joelle should use to center the image is -4.46cm.
If the temperature starts at -5 and then rises 13 degrees, what is the new temperature?
Answers
Answer:
The awnser is 9 degrees.
Step-by-step explanation:
Write 56\90 as a decimal
Answers
Answer:
0.62
Step-by-step explanation:
divide 56 by 90
Hope this helps :)
Answer:
0.622222222222
Step-by-step explanation:
Help me what is X/5-3/7
Answers
Answer:
15/7 or 2.142
Step-by-step explanation:
x=3/7×5
x=15/7
Landon bought a tray of plants for $8.15. There were 16 plants in the tray. If Landon only bought 1 plant, about how much would it have cost?
Answers
Answer:
100$
Step-by-step explanation:
Answer:$100
Step-by-step explanation:
Name all the angles congruent to
Answers
Answer:
Since you didn't specify congruency to which angle, I am giving below all angles that are congruent in two groups.
Step-by-step explanation:
Group ONE:
All these angles are congruent <ABE = <BCF = <GBC = < HCD
Group TWO:
All these angles are congruent <EBC = <CFD = <ABG = <BCH
Triangle XYZ, X equals 27 cm, Y equals 79 cm and angle C equals 142Degrees. Find the length of Z, to the nearest centimeter.
Answers
Given:
In triangle XYZ, x = 27 cm, y = 79 cm and [tex]\angle C=142^\circ[/tex].
To find:
The length of z.
Solution:
In triangle XYZ, using the Law of cosine, we get
[tex]z^2=x^2+y^2-2xy\cos Z[/tex]
Putting the given values in the above formula, we get
[tex]z^2=(27)^2+(79)^2-2(27)(79)\cos (142^\circ)[/tex]
[tex]z^2=729+6241-4266(-0.788)[/tex]
[tex]z^2=6970+3361.608[/tex]
[tex]z^2=10331.608[/tex]
Taking square root on both sides.
[tex]z=\pm \sqrt{10331.608}[/tex]
[tex]z=\pm 101.6445178[/tex]
Approx the above value to the nearest number and side length cannot be negative. So,
[tex]z\approx \pm 102\text{ cm}[/tex]
Therefore, the length of z is about 102 cm.
Answer:102
Step-by-step explanation:
PLEEAASSEE ANNSSWWEER I WILL GIVE BRAINLIEST AND 50 POINTS TO THE PERSON WHO ANSWERS FIRSTTT
Which of the following methods uses the decay of atomic particles in an object to find its exact age? (3 points)
A. Fossil dating
B. Geologic dating
C. Radioactive dating
D. Relative dating
Answers
Answer:
the answer is C
Step-by-step explanation:
radioactive dating is done by examining the atomic particles found in an object
Answer:
c
Step-by-step explanation:
What is the equation of the line with points represented in the table? What can yoy conclude about the line represented in the table? Select all that apply?
Answers
Answer:
yos
Step-by-step explanation:
no I cant
A manufacturer determines that the number of drills it can sell is given by the formula
− 4p 60p 05 , where is the price of the drills in dollars and D is the number of 2 + 1 − 3 = D p
drills it sells.
a) At what price will the manufacturer sell the maximum number of drills?
b) What is the maximum number of drills that can be sold?
Answers
Correct question is;
A manufacturer determines that the number of drills it can sell is given by the formula,D = -4p2 + 160p – 305 where p is the price of the drills in dollars.
A) At what price will the manufacturer sell the maximum number of drills?
B) What is the maximum number if drills that can be sold?
Answer:
A) $20
B) D_max = 1295 drills
Step-by-step explanation:
We are given that the price for number of drills it can sell is given by the formula, D = -4p² + 160p – 305 where p is the price of the drills in dollars.
A) To find the price for selling maximum number of drills, we will find the derivative of the function D and equate to zero.
D' = -8p + 160
Equating to zero gives;
-8p + 160 = 0
8p = 160
p = 160/8
p = $20
B) maximum number of drills will occur at p = $20.
Thus;
D_max = -4(20)² + 160(20) – 305
D_max = -1600 + 3200 - 305
D_max = 1295
what is the Domain of f(x)?
what is the range of f(x)?
Answers
Answer:
Answer. The domain of f(x)=x is the whole of the real numbers R . The range is also the whole of R
Step-by-step explanation:
GOOD LUCK
If cheese costs $3.00 for 2 pounds what is the cost per pound?
I need a quick answer please
Answers
Answer:$1.50
Step-by-step explanation:
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-x + 3y = 4
-7x + 12y = 12
Answers
Answer:
One solution
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
The solution set of the systems of equations would be where the 2 lines intersect. If the 2 lines do not intersect (i.e they are parallel lines), then they will have no solution. If the 2 lines look exactly the same, then they will have infinitely many solutions.
From the graph, we see that the lines intersect once. Therefore, the systems has 1 solution.