Answer:
1. Angle Addition Postulate/Theorem
2. 90°
3. m<AOC; Vertical Angles
4. 90°; 110°
5. 20°
Step-by-step explanation:
1. m<DOB = m<DOE + m<BOE (Reason: Angle Addition Postulate/Theorem)
2. m<DOB = 90° + x (Reason: Substitution)
Note: m<DOE is a right angle.
3. m<DOB = m<AOC (Reasons: Vertical Angles)
4. 90° + x = 110° (Reasons: Substitution)
5. x = 20° (Reasons: Algebra)
Note how we got 20° by applying algebra:
90° + x = 110°
Subtract 90° from both sides
90° + x - 90° = 110° - 90°
x = 20°
What is the value of y?
Answer:
C
Step-by-step explanation:
Exterior angle equals the sum of opposite interior angles
y + y = 130
2y = 130
Divide both sides by 2
y = 130/2
y = 65
Answer:
C.65
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle
y+y = 130
2y = 130 divide both sides by 2
y = 65
Point A(3,8)
and point B(−1,1)
are located within the coordinate plane.
what is the distance from A to B?
Answer:
[tex]\displaystyle d = \sqrt{65}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point A(3, 8)
Point B(-1, 1)
Step 2: Find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-1 - 3)^2 + (1 - 8)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-4)^2 + (-7)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{16 + 49}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{65}[/tex]Answer:
8.1
Step-by-step explanation:
the person who posted before was correct! they just forgot to change the format of the answer, see their response for an accurrate explanation :)
13.6 divided by 0.81 simplified.
Answer:
16.8
Step-by-step explanation:
Simplify (x-4)(3x^3-6x+2)
Answer:
Step-by-step explanation:
[tex](x-4) (3x^{3} -6x+2)[/tex]
= [tex]3x^{4} -6x^{2} +2x -12x^{3} +24x-8[/tex]
= [tex]3x^{4} -12x^{3} -6x^{2} +26x-8[/tex]
I hope this helps and the working out is clear. :)
complete the given magic square with consecutive numbers from 6 to 14 having magic constant 30
Step-by-step explanation:
the answer is in the image above
The required magic square with consecutive numbers from 6 to 14 having a magic constant of 30 is.
| 13 | 6 | 11 |
| 8 | 10 | 12 |
| 9 | 14 | 7 |
What is a magic square?A magic square is a square grid filled with consecutive integers in a way that all rows, columns, and diagonals have the same sum, known as the magic constant.
Here,
To complete the given magic square with consecutive numbers from 6 to 14 having a magic constant of 30, we can follow these steps:
Step 1: Write the partially filled magic square:
Step 2: Calculate the sum of the known numbers:
Step 3: Calculate the sum of the missing numbers:
Step 4: Distribute the missing numbers in the empty cells in a way that the sum of all rows, columns, and diagonals is equal to the magic constant of 30.
We know that the center cell must be 12, because it is the only cell that can be part of three different diagonals.
We can check that all rows, columns, and diagonals add up to 30:
| 13 | 6 | 11 |
| 8 | 10 | 12 |
| 9 | 14 | 7 |
Learn more about magic square here:
https://brainly.com/question/28675556
#SPJ2
whose perfect square should be added to the sum of the greatest three-digit prime number and the smallest two-digit prime number, so that the resultant number is perfect square of 32?
The greatest 3 digit prime number is 997 and the smallest 2 digit prime number is 11. 997+11 = 1008
32^2 = 1024
1024-1008 = 16.
root(16) = 4
98 divide by 76
76 multiple by 86
Answer:
98/76= (rounded to the nearest thousandth) 1.289.
ASApppppppppppppppppppppppppppppppppppppp
Answer:
15/8
Step-by-step explanation:
Skip. Flip. Multiply.
- 1/3 becomes 3/1.
3 * 5 is 15.
8 * 1 is 1.
Negatives cancel out.
Answer:
=
[tex] \frac{ 15}{8} [/tex]
That's the answer
50 points
128:x = 4:3
Solve for x
Answer:
x = 96
Step-by-step explanation:
[tex]\frac{128}{x}: \frac{4}{3}[/tex]
x · 4 = 128 · 3
4x = 384
4x ÷ 4 = 384 ÷ 4
x = 96
48 is exactly divisible by
Answer:
2, 3, 4, 6, 8, 12, 16, 24, 48.
Step-by-step explanation:
Factors of 48 is 2, 3, 4, 6, 8, 12, 16, 24, 48.
48 is exactly divisible by factors of 48.
The DJ charges $75 plus $50
each hour. Which equation
shows the cost (c) for any
number of hours (h)?
A. 75h + 50h = C
B. 75 +50h = C
C. 75h + 50 = C
D. 125h = C
The number -8 lies to the right of ___________ on the number line.
8
0
-6
-12
Answer:
-6
Step-by-step explanation:
-123456789101112131415
A ball is thrown straight up into the air. The table shows the data collected over t seconds, where h(t) is the height of the ball, in feet.
A 2-column table with 6 rows titled Height of Ball over Time. The first column is labeled t with entries 0, 1, 2, 3, 4, 5. The second column is labeled h(t) with entries 0, 64, 96, 96, 64, 0.
Which statement is true?
The initial height of the ball is 96 feet.
The ball will hit the ground between 2 and 3 seconds after it was thrown.
The maximum height of the ball must be 96 feet.
The maximum height of the ball was 2.5 seconds after it was thrown.
Answer:
d
Step-by-step explanation:
2021 edge
Answer:
d
Step-by-step explanation:
A golf ball has a diameter of 1.68 inches. What is its volume? Use 3.14 for – and round your answer to the nearest hundredth.
Answer:
Volume of the ball = 2.48 inch³
Step-by-step explanation:
A golf ball is in the shape of a sphere.
Therefore, volume of the ball will be given by,
Volume = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = Radius of the ball
By substituting the value of 'r' in the formula,
Volume of the golf ball = [tex]\frac{4}{3}\pi (\frac{\text{Diameter}}{2})^{3}[/tex]
= [tex]\frac{4}{3}(3.14) (\frac{\text{1.68}}{2})^{3}[/tex]
= [tex]\frac{4}{3}(3.14) (0.84)^{3}[/tex]
= 2.482 inch³
≈ 2.48 inch³
1234+1234567912345678901342=?
12345678912345678902576
Sarah is going from home to school then to the library to study and finally to the part to meet with friends before going home. Find the distance Sarah will travel today based on the locations of each stop on the coordinate plane. Include:
Distances between all 4 locations
Total distance
The method used for each calculation
Sarah’s house (2,-5)
The school (2,4)
Library (-3,4)
Park (-3,-5)
Answer:
i) The distance between Sarah's house and the school is 9
ii) The distance between the school and the library is 5
iii) The distance between the library and the park is 9
iv) The distance between the park and Sarah's house is 5
2) The total distance Sarah travels is 28
Step-by-step explanation:
The given coordinates of the locations are;
Sarah's house (2, -5)
The school (2, 4)
Library (-3, 4)
Park (-3, -5)
Sarah's journey is; From the house → The school → Library → Park → House
The distance, d, between two coordinate points, (x₁, y₁) and (x₂, y₂) is given as follows;
d = [tex]\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
i) Therefore, the distance between Sarah's house ((x₁, y₁) = (2, -5)) and the school ((x₂, y₂) = (2, 4)), d₁, is d₁ = √((2 - 2)² + (4 - (-5))²) = 9
Sarah's house → The school = 9
ii) The distance between the school ((x₁, y₁) = (2, 4)), and the library, ((x₂, y₂) = (-3, 4)), d₂ = √((-3 - 2)² + (4 - 4)²) = 5
The school → Library = 5
iii) The distance between the library ((x₁, y₁) = (-3, 4)), and the park ((x₂, y₂) = (-3, -5)), d₃ = √((-3 - (-3))² + (-5 - 4)²) = 9
The library → The park = 9
iv) The distance between the park ((x₁, y₁) = (-3, -5)), and Sarah's house ((x₂, y₂) = (2, -5)), d₃ = √((2 - (-3))² + (-5 - (-5))²) = 5
The park → Sarah's house → 5
2) The total distance = 9 + 5 + 9 + 5 = 28.
The median observation are arranged in ascending are 72,74,75,5x-10,3x+30,85,88,94.If the median mark is 82 ,find the value of x
Step-by-step explanation:
The position of the median of an even data set is 1/2(8+1)=4.5
That is between two values, 4 and 5.
(5x-10+3x+30)/2=82
(8x+20)/2=82
(8x+20)=41
8x=41-20
8x=21
x=21/8
Solve for x the given angle measure at the top right is 57 degrees and the given angle measure in the lower left is (x+3) degrees
Answer:
54
Step-by-step explanation:
the 2 lines are parallel and the line going through is a transversal.
because of vertical angles, the x+3 is equal to the angle diagonal to it.
that diagonal angle is equal to the top right one (57˚) by same side interior angle thereom. So intern, x+3 = 57
x = 54
If there are 3000 people in a room, what is the probability they have watched a video with 80k views?
Answer:
The answer is 26.667 ..
Step-by-step explanation:
80k/3000
How is the solution set of the sentence below described? X + 5 < 7
A. {All numbers less than 7/5}
B. {All numbers less than 2}
C. {All numbers less than 7}
D. {All numbers less than 12}
E. None of these
Answer:
B. {All numbers less than 2}
Step-by-step explanation:
X + 5 < 7
Subtract 5 from each side
X + 5-5 < 7-5
x<2
All numbers less than 2
The length of a rectangle is five times its width.
If the perimeter of the rectangle is 72 m, find its length and width.
Answer:
length =30m width=6m
hope it helps
Menus eusvtagebisvsuveudysvs sieue rjeuysvudg duty’s itteveh help
Answer:
13+12+5/2
Step-by-step explanation:
solv it answer will come
Answer:
12×5=60
1/2×4×12=24
24×2=48
60+48=108
=108cm²
find the number of letters from the word MAXIMUM where two consonants cannot occur. (Permutation)
Answer:
4!
Step-by-step explanation:
In word MAXIMUM, consonants are M & X. According to the question itself, consonants should not occur together.
So, we have to put vowels at each even position; only then the condition will be satisfied.
We can put this in 3! ways (permutations of A, I & U).
For odd positions we can put 3-M's & a X. Total ways is 4!/3! (as repetitions of M).
Hence, the answer is 4!/3! x 3! = 24 ways.
24=4!.
PLEASE HELP!!! Bring the fraction:
b/7a^2c to a denominator of 35a^3c^3
a/a-4 to a denominator of 16-a^2
I think this should be the answer
find the measure of the indicated angle to the nearest degree. SOMEONE PLEASEE HELPP ME OUTT
Answer:
52
Step-by-step explanation:
arcsin 15/18
= 52
Answered by GAUTHMATH
Find the lateral area for the regular pyramid.
L. A. =
Answer:
Step-by-step explanation:
slant height=√(3²+1²)=√10
L.A=4×1/2×2×√10=4√10
Someone please help me PLEASE.
With explanations.
Answer:
hlo
buddy
msg me on
navneet175285
Step-by-step explanation:
njkmmnu
Barry bought 3.28 pounds of cashews. Danielle bought 1.97 pounds of
cashews. How many more pounds of cashews did Barry buy than Danielle?
Answer:
1.31
Step-by-step explanation:
3.28 - 1.97
The average movie ticket price in dollars since 1980 can be modeled by 0.142x + 1.93 where x is the number of years since 1980. What values of x would you use to find the average movie ticket price in 1985, 1999, and 2010? Find the ticket prices for each of those years rounded to the nearest cent. Submit your x-values, ticket prices, and all solution steps to earn full credit.
Answer:
Step-by-step explanation:
1985:
x = 5 years ( 1980 to 1985- 5 years)
0.142x + 1.93 = 0.142*5 + 1.93
= 0.71 + 1.93
= $ 2.64
1999:
x = 19 years
0.142x + 1.93 = 0.142*19+ 1.93
= 2.698 + 1.93
=4.628 = $ 4.63
2010:
x = 30 years
0.142x + 1.93 = 0.142*30 + 1.93
= 4.26 + 1.93
= $ 6.19
Find the attached question.
p=70°
q=32°
r=38°
Answer:
Solution given:
r=38°[inscribed angle on a same arc are equal]
p=½*140°=70°[inscribed angle is half of the central angle]
<OBA=38°[base angle of isosceles triangle]
again
<C=<B[inscribed angle is half of the central angle]
70°=<OBA+q
70°=38°+q
q=70°-38°
q=32°
