Answers
Given:
The figure of a circle O.
To find:
The value of x.
Solution:
First, label some points on the given figure as shown below.
In triangle BOC,
[tex]OB=OC[/tex] (Radii of same circle)
It means [tex]\Delta BOC[/tex] is an isosceles triangle and the base angles of an isosceles triangles are congruent. So,
[tex]\angle OBC\cong \angle OCB[/tex]
[tex]m\angle OBC=m\angle OCB[/tex]
[tex]75^\circ=m\angle OCB[/tex]
In triangle [tex]\Delta BOC[/tex],
[tex]m\angle BOC+m\angle OBC+m\angle OCB=180^\circ[/tex] (Angle sum property)
[tex]m\angle BOC+75^\circ+75^\circ=180^\circ[/tex]
[tex]m\angle BOC+150^\circ=180^\circ[/tex]
[tex]m\angle BOC=180^\circ-150^\circ[/tex]
[tex]m\angle BOC=30^\circ[/tex]
Now,
[tex]m\angle BOC=m\angle BOC+m\angle COD[/tex]
[tex]m\angle BOC=30^\circ+94^\circ[/tex]
[tex]m\angle BOC=124^\circ[/tex]
Using the central angle theorem, we get
[tex]m\angle BAD=\dfrac{1}{2}\times m\angle BOD[/tex]
[tex]x=\dfrac{1}{2}\times 124^\circ[/tex]
[tex]x=62^\circ[/tex]
Therefore, the correct option is B.
Related Questions
Aiden arrived at the rocket display at 3:35 p.M and left at 3:49 p.M ava arrived at the rocket display at 3:30 p.M and left at 3:56 p.M ava spent how many more minutes at the rocket display then aiden
Answers
if csc θ = -5/4 on the interval (270°, 360°), find tan θ.
Answers
Value of tan θ on the interval (270°, 360°) = -4/3
What is Pythagoras theorem?Pythagoras theorem states that in a right angled triangle, square of length of hypotenuse is equal to the sum of squares of lengths of other two sides, i.e. Perpendicular and base.
Given,
cosec θ = -5/4 on the interval (270°, 360°)
Given interval is on fourth quadrant.
Sine and cosecant are negative in fourth quadrant
cosec θ = -5/4
cosec θ = Hypotenuse/perpendicular
Comparing
Hypotenuse = 5
Perpendicular = 4
By Pythagoras theorem,
Base² = Hypotenuse² - Perpendicular²
Base² = (5)² - (4)²
Base² = 25 - 16
Base² = 9
Base = ±3
In fourth quadrant tangent is negative
tan θ = -4/3
Hence, -4/3 is the value of tan θ on the interval (270°, 360°).
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El piso de un habitación es de forma cuadrada. Tiene 10m de longitud por lado y debe ser cubierto con losetas cuadradas de 25cm de lado. ¿Cuantas losetas serán necesarias?
Answers
Answer:
4 fichas
Step-by-step explanation:
Paso 1
Encontramos el área de la habitación cuadrada.
Área de un cuadrado = longitud del lado²
Longitud lateral = 10 cm
Área del piso cuadrado = (10cm) ²
= 100 cm²
Paso 2
El suelo debe estar cubierto con baldosas cuadradas de 25 cm.
Por lo tanto: El número de mosaicos que serán necesarios =
Área del piso cuadrado ÷ Área de las baldosas
= 100cm² / 25 cuadrados
= 4 fichas
A test is normally distributed with a mean of 70 and a standard deviation of 10. Todd
scores a 55 on the test.
Select the answer from the drop-down menu to correctly complete the statement.
Based on the mean of 70 and his raw score of 55, Todd's z-score must be Choose
Positive
negative
Answers
Answer:
negative
Step-by-step explanation:
calculating the z score by subtracting the mean and dividing by the standard deviation
(55-70)/10= -1.5
It's negative
Kendle wants to play several games of laser tag. She has $35 to play g games. each game of laser tag cost $5
Answers
Answer:
Answer would be 7.
Step-by-step explanation:
5 x 7 = 35
what is the answer for 10(x-7)=y
Answers
y intercepts- (0,-70)
Use the elimination method to slove the system of equations. 2x+4y=10 3x-4y=5
Answers
Step-by-step explanation:
Hope this helps please like and mark as brainliest
Answer:
(3, 1)
Step-by-step explanation:
its right
Find an equation of a line that is perpendicular to y = -4x + 3 and passes through the point (4, -1).
Answers
Answer:
y = 1/4x - 2
Step-by-step explanation:
y = 1/4x + b
-1 = 1/4(4) + b
-1 = 1 + b
-2 = b
Help plz..And No links!! I repeat No links!!
Answers
Answer:
56
Step-by-step explanation:
Take 64 and subtract by 8, to get 56
You do simply subtraction because the cobra is 8 inches longer.
The answer is 56
Find the 25th term of the sequence -7,-22,-37.
Answers
Answer:
a₂₅ = - 367
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = - 22 - (- 7) = - 37 - (- 22) = - 15
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 7 and d = - 15 , then
a₂₅ = - 7 + (24 × - 15) = - 7 - 360 = - 367
What percent of 8 is 1,280? A 16096 O B. 16,000% O O O C. 1,600% D. 1.6%
Answers
Answer:
B. 16,000%
Step-by-step explanation:
8 — 100%
1,280 — x%
x = 1,280 · 100/ 8 = 16%
Answer:
16,000
Step-by-step explanation:
Translate the sentence into an inequality.
Twice the difference of a number and 5 is at most 27.
Use the variable b for the unknown number.
Answers
Answer:
2b-10≤27
Step-by-step explanation:
In this problem, we use b to represent the unkown number. Please be careful of order of operations when writing the inequality. (The difference of a number and 5) multiplied by 2 is at most 27. Also, note that the both sides of the inequality can be 27, but no more than 27.
[tex]2(b-5)\leq 27\\2b-10\leq 27\\[/tex]
If you wish to solve for b from here, simply isolate the term containing b and solve from there.
I hope this helps! Let me know if you have any questions :)
Answer:
2(x - 5) < 27
Step-by-step explanation:
Equation
2(b - 5)<27
Explanation
Break this down
difference means subtract.
The number is b
and finally for now, the difference between a number and 5 is
x - 5
Twice that difference is
2(x - 5)
And the keyword less (than) 27. Always make sure you know what less than means. It means that it is never equal to 27, but it can be pretty close.
26.999999999999 < 27
So the final result is
2(x - 5) < 27
Answer correctly please !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer: 49 pie
Step-by-step explanation:
7²There are 6 kittens in the litter, five kittens are black and 1 is brown, what percent of kittens is black?
Answers
Answer:
83 1/3 %
Step-by-step explanation:
Take the number of black kittens over the total
5/6
Change to a decimal
.833333
Multiply by 100
83.33333%
.33333 repeating is 1/3
83 1/3 %
Answer:
[tex]83.33\%[/tex]
Step-by-step explanation:
Number of kittens in the litter = 6
Number of Black kittens = 5
Number of Brown Kittens = 1
Now let's find the percentage of black kittens
[tex] = \frac{number \: \: of \: \: black \: \: kittens}{number \: \: of \: \: total \: \: kittens} \times 100\% \\ = \frac{5}{6} \times 100\% \\ \\ = \frac{500}{6} \times 100\% \\ = 83.33\%[/tex]
Hope this helps you.
The following box plot represents the average heights of the students in Mrs. Hill's sixth grade math class.
Which of the following statements can you determine from the graph? Select all that apply.
Half of the students in Mrs. Hill's class are between 147 centimeters and 154 centimeters tall.
The median height of the students in Mrs. Hill's class is 152 centimeters.
The interquartile range of this data set is 15 centimeters.
The mean height of the students in Mrs. Hill's class is 152.5 centimeters.
Answers
Answer:
152 and 9
Step-by-step explanation:
A painter needs to cover a triangular region 65 meters by 74 meters .A cab paint covers 70 square meter, how many cans will be needed
Answers
Answer
27.3 cans are needed
Find the PERIMETER and the AREA of the following figure,
16 ft
8 ft
10 ft
Answers
9514 1404 393
Answer:
perimeter: 36 +16√5 ft ≈ 71.777 ftarea: 288 ft²Step-by-step explanation:
Perimeter
The perimeter is the total length of all the sides. The length of the horizontal sides is 8 ft + 10 ft = 18 ft. The length of the slant sides can be found using the Pythagorean theorem. For side length s, we have ...
s^2 = 8^2 + 16^2
s^2 = 64 +256 = 320
s = √320 = 8√5
Then the perimeter is ...
P = 2(8√5 + 18) = 36 +16√5 ≈ 71.777 . . . feet
__
Area
The area is given by the formula ...
A = bh
where b is the base and h is the height.
A = (18 ft)(16 ft) = 288 ft²
PLEASE HELP ME PLS U WOULD BE A LIFE SAVER AND ILL GIVE U BRAINLY PLS
In a game of chance, players spin a pointer on the spinner with eight equal-sized sections.
The sample space is 1,1,2,3,3,4,5,5
What are the probabilities of each outcome in the sample space? ( write each answer in fraction form)
Answers
Answer:
See belowStep-by-step explanation:
The are 8 total outcomes and 5 possible numbers:
Probability = favorable outcomes / total outcomes
P(1) = 2/8 = 1/4P(2) = 1/8P(3) = 2/8 = 1/4P(4) = 1/8P(5) = 2/8 = 1/4Determine the smallest integer value of x in the solution of the following inequality.
4x – 1 > 18
Answers
Answer:
x = 5
Step-by-step explanation:
You need to find de value of x.
4x - 1 = 18
4x = 18 + 1
4x = 19
x = 19/4
x = 4,75 but, the questions says: smallest integer value, so, the smallest is the integer number more near of 4,75, which is 5.
testing:
x = 5
4*5 - 1 > 18
20 -1 > 18
19 > 18 TRUE
x = 4
4*4 - 1 > 18
16 - 1 > 18
15 > 18 FALSE
No links pls. I need an explanation too.
Answers
Answer:
hi sorry I don't know answer
you know Telugu where are you from
iam from telangana
es para matematica cuanto es 9x (-8) =
Answers
Answer:
−72x
Step-by-step explanation:
If TU=z+9 and VX=z–41, what is VX? Picture down below.
Answers
Answer:
VX=50
Step-by-step explanation:
VX=[tex]\frac{1}{2} *UT[/tex] (The straight line joining the mid points of two sides of a triangle is parallel to the third side and equal to half of it.
[tex]z-41=\frac{1}{2} *z+9[/tex]
[tex]z-41=z+9/2[/tex]
do cross multiplication
2(z-41)=z+9
2z-82=z+9
2z-z=9+82
z=91
VX=z-41
=91-41
=50
Sara sees some notebooks she likes in a shop. They cost 35p each. This is the money she has. Look in the image
a. How many notebooks can Amy buy? _________
b. How much money will she have left? __________
NEED ANS ASAP giving u 50points
Answers
Answer:
Sara can buy 2 notebooks with the money that she has and she will have a remainding 23.1
Step-by-step explanation:
93.1-35-35=23.1
Savannah is using unit cubes to determine the volume of her desk drawer. What is true about the volume of Savannah's drawer?
Answers
Answer:
The volume is 60 cubic units
Step-by-step explanation:
It is given that Savannah is using the unit cubes for determining the volume of her desk drawer.
Each of the cube have dimensions of 1 unit by 1 unit by 1 unit
The base of the drawer is 4 unit cubes by 3 units cubes. And the height of the desk drawer is 5 units cube.
Thus the volume of her desk drawer is = 4 x 3 x 5
= 60 cubic units
Which points are the vertices of the ellipse?
points G and H
points J and K
points L and N
points M and N
Answers
Answer:
Your answer is A) points G and H
Step-by-step explanation:
I took the test on edge 100%
If m angle RTS = 8x + 18, find x so that line TR is perpendicular to line TS
Answers
Answer:
Point T is the right angle of the triangle, so RTS = 90 degrees
8x + 18 = 90 (degrees)
8x = 72
x = 9 degrees
Step-by-step explanation:
If [tex]\angle RTS = 8x + 18[/tex] and line [tex]TR[/tex] is perpendicular to line [tex]TS[/tex], then [tex]x[/tex] will be [tex]9^0[/tex].
What is perpendicular ?A line is said to be perpendicular to another line if the two lines intersect at a right angle i.e. make [tex]90^0[/tex] angle with that line.
We have,
[tex]\triangle RTS[/tex] in which,
[tex]\angle RTS=8x+18[/tex]
Also it is mentioned that [tex]TR \perp TS[/tex] i.e.
[tex]\angle RTS=90^0[/tex]
So, compare values of [tex]\angle RTS[/tex],
We get,
[tex]8x+18=90[/tex]
[tex]8x=72[/tex]
[tex]x=9^0[/tex]
Hence, we can say that If [tex]\angle RTS = 8x + 18[/tex] and line [tex]TR[/tex] is perpendicular to line [tex]TS[/tex], then [tex]x[/tex] will be [tex]9^0[/tex].
To know more about perpendicular click here
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The sum of two numbers is 106. The bigger number is 22 more than the smaller number. Then what is half of the smaller number?
(1 Point)
a) 84
b) 21
c) 42
d) 32
7Rakesh's mother's age is three times the present age of Rakesh. After 5 years their ages when added together, will become 66 years. The equation that represents the above is as follows;
(1 Point)
a) x + 3x = 66
b) x + 3x + 5 = 66
c) 4x + 15 = 66
d) 4x + 10 = 66
8Equation 1 is : 2 x - 3 = - 9 and Equation 2 is : x - 7 = 2. The first equation has solution (x = - 3), and the second equation has solution (x = 9) and both these answers are correct for the respective equations. Choose the correct statement from below.
(1 Point)
a) Since the first equation has a negative solution, the second equation only is a Linear equation, as it has a positive solution
b) Both equations have solutions which are rational numbers
c) The first equation is called a Negative Linear Equation as it has a negative solution
d) None of the statements a, b or c are True
9Please see the Figure A, and choose the correct
statement that matches the figure from the
options given below.
(1 Point)
a) The above figure is a Polygon with 5 sides
b) The above figure is a Concave Polygon
c) The above figure is not a Polygon
d) The above figure is a Regular Pentagon
10The sum of measures of the exterior angles of any polygon is …
(1 Point)
a) 180 degrees
b) 360 degrees
c) ( n – 2 ) x 180 degrees
d) ( n – 2 ) x 360 degrees
11In a quadrilateral, if all sides are equal and the diagonals bisect each other at right angles, then the quadrilateral …
(1 Point)
a) Is a Square
b) Is a Rhombus
c) Could be a Square, or could be a Rhombus, we need to know more about the length of the diagonals
d) None of the above statements is correct
12A rectangular wire frame could be bent and turned into a Parallelogram keeping the same 4 original sides, but the following must be true for this to happen…..
(1 Point)
a) That the diagonals remain equal
b) That the diagonals continue to bisect the angles at the vertices equally
c) The lengths of the diagonals change
d) The diagonals are now bisecting each other in 4 equal parts
13Which statement is True for the following two Figures A and B, given below
(1 Point)
a) Figure A is a Rhombus and Figure B is a Kite
b) Figure A and B are both Rhombus
c) Figure A and B are both Kites
d) Figure A is a Kite and Figure B is a Rhombus
14Which statement out of the four options below, is True?
(1 Point)
a) All Rectangles are Squares
b) All Rhombuses are Parallelograms
c) All Squares are Concave Polygons
d) All Convex Polygons have diagonals outside them
15
(1 Point)
16If 4368 ÷ 28 = 156, then if the same 4368 is now divided by 0.28, what will be the answer?
(1 Point)
a) 156
b) 15600
c) 15.6
d) 1.56
1712.00001 ÷ 0.600001 is closest to ……..
(1 Point)
a) 0.02
b) 2
c) 20
d) 200
18Complete:
(1 Point)
19The equation : 12 x + 16 = 20 is the same as ……
(1 Point)
a) 12 x + 8 = 12
b) 12 x = 20 + 16
c) 12 x – 16 = 20 – 16
d) 12 x – 20 = 16
2020. Find the value of a quarter of the angle QRT
which is ‘x’ if angle PRS is 2x as shown in the
figure below. Consider Triangle PRQ and Triangle
RST to be equilateral triangles of different sizes.
(1 Point)
21Which number will give us a quotient of - 4, if we divide - 24 by ……..
(1 Point)
a) 4
b) - 6
c) - 4
d) 6
22If 2 ( 3 – 2 x ) = 3 ( x – 5 ) then x = ……….
(1 Point)
a) – 3
b) 3
c) – 6
d) 6
23The teacher asked the class to divide a given number by 24
- Rohit divided the number by 24 and got the correct answer 20
- Mohit divided the number by 6 and got an answer which he again divided by 4 and
obtained the final answer
- Rakesh divided the number by 2.4 and then divided the answer again by 10
- Allen divided the number by 2.4 and then multiplied the answer obtained by 10
Now choose the best solution from the below options.
(1 Point)
a) Only Rohit got the correct answer
b) Both Rohit and Mohit got the correct answer
c) Rohit, Mohit and Rakesh all got the correct answer
d) Rohit, Mohit and Allen all got the correct answer
24Abhay and Binu both started walking starting at the same time and at the same rate of 5 km / hour. Abhay walked on the boundary of a big circle and Binu walked on the boundary of a small circle and both these circles were having the same center. Abhay completed 3 circles, whereas Binu completed 7 circles after half an hour. After half an hour …...................
(1 Point)
a) Abhay has walked more than Binu, as he walked on the boundary of the bigger circle
b) Binu has walked more than Abhay, as he has walked more circles than Abhay
c) Both of them have covered the same distance
d) With the information given above, we cannot say who walked more
25Which sign will you put in between [ 120 ….. ( 3 / 11 ) ], so that the answer or result is the highest number
(1 Point)
a) +
b) –
c) x
d) ÷
Answers
Step-by-step explanation:
on the first one you would take 106 and subtract 22 from that since the bigger number is 22 more than the smaller number 106 - 22=84 then you would divide that by two because there are two numbers. which would be 42 as a smaller number so half of the smaller number would be 21. I think
To solve the above, the solutions are given below.
1. b) 21
7. b) x + 3x + 5 = 66
8. b) Both equations have solutions which are rational numbers
9. a) The above figure is a Polygon with 5 sides
10. b) 360 degrees
11. In a quadrilateral, if all sides are equal and the diagonals bisect each other at right angles, then the quadrilateral …
a) Is a Square
12. A rectangular wire frame could be bent and turned into a Parallelogram keeping the same 4 original sides, but the following must be true for this to happen…..
b) That the diagonals continue to bisect the angles at the vertices equally
13. Which statement is True for the following two Figures A and B, given below
b) Figure A and B are both Rhombus
14Which statement out of the four options below, is True?
b) All Rhombuses are Parallelograms
16. If 4368 ÷ 28 = 156, then if the same 4368 is now divided by 0.28, what will be the answer?
b) 15600
17. 12.00001 ÷ 0.600001 is closest to ……..
c) 20
19. The equation : 12 x + 16 = 20 is the same as ……
a) 12 x + 8 = 12
20. Find the value of a quarter of the angle QRT
which is ‘x’ if angle PRS is 2x as shown in the
figure below. Consider Triangle PRQ and Triangle
RST to be equilateral triangles of different sizes.
80°
21. Which number will give us a quotient of - 4, if we divide - 24 by ……..
d) 6
22. If 2 ( 3 – 2 x ) = 3 ( x – 5 ) then x = ……….
b) 3
23. The teacher asked the class to divide a given number by 24
- Rohit divided the number by 24 and got the correct answer 20
- Mohit divided the number by 6 and got an answer which he again divided by 4 and
obtained the final answer
- Rakesh divided the number by 2.4 and then divided the answer again by 10
- Allen divided the number by 2.4 and then multiplied the answer obtained by 10
Now choose the best solution from the below options.
a) Only Rohit got the correct answer
24. Abhay and Binu both started walking starting at the same time and at the same rate of 5 km / hour. Abhay walked on the boundary of a big circle and Binu walked on the boundary of a small circle and both these circles were having the same center. Abhay completed 3 circles, whereas Binu completed 7 circles after half an hour. After half an hour …...................
c) Both of them have covered the same distance
25. Which sign will you put in between [ 120 ….. ( 3 / 11 ) ], so that the answer or result is the highest number
c) x
Therefore, the answers are as given above.
learn more about factorization from here: https://brainly.com/question/25829061
STAN BLΛƆKPIИK BESTIES AND HELP WITH THIS RN NBRBRNRBRBRBBRBRBRBRBRBRBRBRBRBBRBRB TY BBYEEYEYYEYEY<3!HAVE A GOOD DAY I NEED THIS RETURNED A S A P BEFORE IT'S 11:49 P. TY AGAIN.
Answers
Answer:
20, 30 40, 50
hope this helps
have a good day :)
Step-by-step explanation:
solve for x! show work please < 3
Answers
Answer:
x=10
Step-by-step explanation:
First off those are not triangles, tell someone that if you can and it hasn't been said already. Since 6 and 9 correspond we know the big triangle is 1.5 times the size of the small one. Because of this, we can set 1.5(2x-10) or 3x -15 = 15. x = 10. You can also just take 15/1.5 to get 10 but the stuff above is the work.
Answer:
x = 10
Step-by-step explanation:
since the two shapes are similar , setting them up in proportion can help to find x, like this ;
2x - 10 / 15 = 6 / 9......cross multiply
9 × ( 2x - 10 ) = 6 × 15
18x - 90 = 90
18x = 90 + 90
18x = 180
x = 10
Simplify the following
Answers
Answer:
60√3 or 103.923
