Answers
Answer:
B. 33
Step-by-step explanation:
Step 1: Find total measure of ∠R:
Since we're told that ∠R and ∠Q are bisected by RB and QA, the two angles are divided into two congruent angles. Therefore, the 38° is 1/2 the total measure of ∠RThus, entire measure of R is 76 as 38 + 38 = 76.Step 2: Find total measure, m, of ∠Q:
The sum of the measures of the interior angles of a triangle always equals 180. Thus, we can find the measure of ∠Q by subtracting the sum of the measures of ∠R and ∠P from 180:m∠P + m∠Q + m∠R = 180
m∠Q = 180 - (m∠P + m∠R)
m∠Q = 180 - (60 + 76)
m∠Q = 180 - 136
m∠Q = 44°
Since QA bisects ∠Q into two congruent angles, we divide 44 by 2 to find the measures of each angle made by the bisector: 44/2 = 22.
Step 3: Find x by setting the sum of the 38° angle, the 22° angle, and angle C equal to 180:
38 + (3x + 21) + 22 = 180
60 + 3x + 21 = 180
81 + 3x = 180
3x = 99
x = 33
Thus, x equals 33.
Related Questions
I need to know how to do this problem please
Answers
Answer: Total expenses if 3 widgets are produced is $11,018.00
Step-by-step explanation: The variable cost per unit is given by the coefficient of q in the expense function. In this case, the variable cost is $6.00 per widget. To find the variable costs to produce 2 widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for 2 widgets = 2 x $6.00 = $12.00 Therefore, the variable costs to produce 2 widgets is $12.00. To find the variable costs to produce q widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for q widgets = q x $6.00 = $6q Therefore, the variable costs to produce q widgets is $6q. To find the total expenses if 3 widgets are produced, we can use the expense function and substitute q = 3:E = 6.00 q + 11,000
E = 6.00 (3) + 11,000
E = 18.00 + 11,000
E = 11,018.00 Therefore, the total expenses if 3 widgets are produced is $11,018.00.
Help me help me help me help me plz on number 7 plz
Answers
Answer:
obtuse
Step-by-step explanation:
Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept form.
The slope of the line is .
When the point (7, –4) is used, the point-slope form of the line is .
The slope-intercept form of the line is
Answers
Answer:
point slope form= y+4 = -7/8( x-7 )
slope intercept form y = -7x/8 +17/8
Answer: 1. -7/8 2. y+4=(-7/8)(x-7) 3. y= (-7/8)x + (17/8)
Step-by-step explanation: on EDGE
P-4x - 3y= -26-5x+2y= -21Find the solution to the system of equations shown above by graphing.A. X= 5, y= 2B. X= 5, y=3C. X= 2, y = 5D. x= 6, y= 2PLEASE EXPLAIN!!!how you do it
Answers
we will use the delete method
fist, We need an equation to have the variable with the same number but with the opposite sign, for this we can multiply the entire equation by a constant
will use the first equation
\(-4x-3y=-26\)we can multiply with -5/4 to turn the -4 into 5
\(\begin{gathered} -4x(\frac{-5}{4})-3y(\frac{-5}{4})=-26(\frac{-5}{4}) \\ \\ 5x+\frac{15}{4}y=\frac{65}{2} \end{gathered}\)then, we will add the two equations
\(\begin{gathered} 5x+\frac{15}{4}y=\frac{65}{2}\text{ +} \\ \\ -5x+2y=-21 \\ ----------------- \\ (5-5)x(\frac{15}{4}+2)y=(\frac{65}{2}-21) \end{gathered}\)we can simplify the equation
\(0x+\frac{23}{4}y=\frac{23}{2}\)and solve Y
\(\begin{gathered} y=\frac{23\times4}{23\times2} \\ y=\frac{4}{2} \\ y=2 \end{gathered}\)having Y we can replace in any initial equation and solve for X
I will use the second equation
\(\begin{gathered} -5x+2y=-21 \\ -5x+2(2)=-21 \\ -5x+4=-21 \\ -5x=-21-4 \\ -5x=-25 \\ x=\frac{-25}{-5} \\ x=5 \end{gathered}\)and the solution is (5,2) or x=5 and y=2
1. Let U the set of students of the university of Cambridge. Let the subsets of U:
A: over 20 years, B: women, C: with social stratum of 1, 2 and 3.
Describe in words the next sets:
a)A
0
∩ C b)A ∪ B c)B
0
∪ C
0
d)(A ∩ C)
0
e)A
0
∪ C
0
f)(A ∪ C)
0
g)A
0
∩ C
0
h)A ∩ B ∩ C
i)A − B j)(A − B) ∩ C k)B 4 C l)A 4 B.
Compare the given description in c) and d) and the given in f) and g), can you conclude something?.
Answers
Answer:
A) A ∩ C means in both sets, in this case A and C, and in this question all students both over 20 years and with social stratum of 1, 2 and 3.
B) A ∪ B means in either set or both, both will do, in this case meaning all students in A or B or any in between, and in this question all students over 20 years and/or are women.
C) As is already explained above, B ∪ C means in this question all students that are women and/or have social stratum of 1, 2, and 3.
D) This is the same as A). Refer to A).
E) A ∪ C is already explained above, and in this question means all students over 20 years and/or have social stratum of 1, 2, and 3.
F) Same as E). Refer to E).
G) Same as A). Refer to A).
H) A ∩ B ∩ C means in students in all three sets simultaneously, and in this question all students that are over 20 years, women, and with social stratum of 1, 2 and 3.
I) A - B, in set theory would mean all students in A but not in B, in other words the difference. In this question, it would mean all students over 20 years that are not women.
J) (A - B) ∩ C would mean, as already explained above, all students over 20 years that are not women and with social stratum of 1, 2 and 3. Usually, it's easier to treat all unions or intersections or whatnot inside brackets as one whole thing, kind of like how you do algebra.
K) B 4 C is nonsensical, there is nothing in set theory like this.
L) Same as K).
The given description between C) and D) would be that they are the same, and comparing F) and G), it seems that the question is trying to make the point that they are almost the same but defined differently.
Step-by-step explanation:
Hope this helped!
which is the following is a source of income
Answers
Answer:
Investment is a source of Income.
ORSelf Employment Income
Answer: Business ownership
Step-by-step explanation: took the quiz
784 to two significant figures
Answers
3
784
Decimals
0
Scientific Notation
7.84 × 102
E-Notation
7.84e+2
Words
seven hundred eighty-four
Answer:
780
Step-by-step explanation:
Your answer is incorrect. Leila runs 8 miles in 84 minutes. At the same rate, how many minutes would she take to run 6 miles?
Answers
Answer:
why don't u try khanacademy.org (on u tube)
Step-by-step explanation:
Answer:
the answer would be 63 minute or 1 hour and 3 minutes
50 pts. Compute the requested operating costs as indicated, based on the preceding table and the following information.
Car: six-cylinder compact
Year driven: second
Miles driven: 14,000
The insurance cost for second year is $
.
If the answer is right, (I will check it,) then I will post a question and give you more points. just get on my prophile, and keep reloading on my "questions' page. 100 extra points.
DONT FLAG. I NEED HELP WITH THIS PROBLEM AND I"M TRYING TO GET A REAL ANSWER.
Answers
From the table , the insurance cost for the second year based on the prescription given is : $1329
Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .
The operating cost in insurance for the second year is therefore $1329.
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If f (x) = 2 x + 5 and three-halves are inverse functions of each other and StartFraction 41
Answers
The inverse of the function → f(x) = 2x + 5 is → f⁻¹(x) = (x/2) - (5/2).
What is the procedure to find inverse of function ?Inverse of a function can be calculated by following the steps mentioned below -
Step 1 - Replace {y} with {x} and vice - versa.Step 2 - Rewrite the equation by solving for {y}.Step 3 - Replace {y} with f⁻¹(x).According to the question, the equation given is as follows
y = f(x) = 2x + 5
y = 2x + 5
Replace 'y' with 'x', we get -
x = 2y + 5
Now, solve for y -
2y = x - 5
y = (x/2) - (5/2)
Replace 'y' with f⁻¹(x) -
f⁻¹(x) = (x/2) - (5/2)
Hence, the inverse of the function → f(x) = 2x + 5 is → f⁻¹(x) = (x/2) - (5/2).
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What is the perimeter of this polygon?
Answers
------------------------ᴇʀʀᴏʀ
Please helpppppppppp
Answers
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Find the Interquartile Range for the following test scores: 98, 93, 75, 86, 79, 82, 77 (Remember to put in order)
Answers
Correct order: 75, 77, 79, 82, 86, 93, 98
98=highest number
75= lowest number
So: 98-75= 23
Range=23
The length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 44 ft squared. find the dimensions of the rectangle
Answers
The dimensions of the rectangle are 4 ft by 5 ft.
Given that the length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 44 sq.ft. We have to find the dimensions of the rectangle. Let's consider the width of the rectangle as x ft.Length of the rectangle = (2x - 3) ftArea of the rectangle = Length x Width44 = (2x - 3) x x44 = 2x^2 - 3x44 = x (2x - 3)2x^2 - 3x - 44 = 0To solve for x, we will factorize the equation by splitting the middle term.2x^2 - 8x + 5x - 20 = 0Factorize2x(x - 4) + 5(x - 4) = 0(x - 4) (2x + 5) = 0x = 4 ft (since the width of a rectangle can't be negative)or 2x = -5This gives us an invalid value, so x = 4 ftNow that we have the width of the rectangle, we can calculate the length as follows:Length of the rectangle = (2x - 3) ftLength of the rectangle = (2 * 4) - 3Length of the rectangle = 8 - 3Length of the rectangle = 5 ft.
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Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hour?
Answers
Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections
Step-by-step explanation:
Answer:
1.25
Step-by-step explanation:
10 ÷ 8 = 1.25
Which type of compound inequality is 3|y+7|-16>5
-union
-hole
-disjunction
-intersection
Answers
The type of the compound inequality 3|y+7| - 16 > 5 is an intersection
How to determine the type of the compound inequality?The compound inequality is given as
3|y+7| - 16 > 5
Add 16 to both sides of the inequality
So, we have
3|y+7| > 21
Divides both sides by 3
So, we have
|y+7| > 3
When the above inequality is solved, the region between the boundaries are shaded
This represents an intersection
Hence, the type of the compound inequality 3|y+7| - 16 > 5 is an intersection
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Answer:The answer is disjunction !!
Step-by-step explanation:
I took the test and got this correct.
measurement 6 is 126
find measurement 1 and 4
Answers
Step-by-step explanation:
just stop wasting ur pionts
\frac{w^7}{w^{-2}} = \frac{w^a}{w^2}
Answers
Answer: a = 16
Step-by-step explanation:
the triangles shown below must be congruent A. True B. false
Answers
Answer:
A. True
Step-by-step explanation:
Answer: B. False.
Step-by-step explanation:
Hope this helps!
subtract 2x³-4x²+3x+5 from 4x²+x²+x+6
Answers
Answer:
(-2x^3)+(9x^2)
Step-by-step explanation:
Answer is above. Hope it helps!
X-(-10)=2 what is X?
Answers
Find the volume of a pyramid with a square base, where the side length of the base is
10.6
in
10.6 in and the height of the pyramid is
12.3
in
12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer:
V = 460.68
Step-by-step explanation:
V=(lwh)/3
Volume = (1/3) * base area * height
In this case, the base of the pyramid is a square with a side length of 10.6 inches, so the base area can be calculated as:
Base area = side length * side length
Let's calculate the base area first:
Base area = 10.6 in * 10.6 in
Next, we'll substitute the values into the volume formula:
Volume = (1/3) * (10.6 in * 10.6 in) * 12.3 in
Calculating this expression will give us the volume of the pyramid. Rounding the answer to the nearest tenth of a cubic inch will provide the final result.
Solve the following percent problems using the appropriate percent equation. Describe
the steps used to calculate each answer.
1) What distance is 24% of 710 miles?
2) 62 hours is what percent of 3 days?
3) 16% of what number is 8
Answers
Answer:
Step-by-step explanation:
Tonya is packing a moving truck with
boxes. Each box is 8 inches high. The
space remaining is 56 inches high. A
space of 2 inches must be left on top.
4. What is the maximum number of
boxes that will fit in the remaining
space?
A.4
B.5
C. 6
D.7
Answers
Answer:
C. 6
Step-by-step explanation:
You want to know the number of 8-inch high boxes that will fit in a space 56 inches high, if an empty space of at least 2 inches must be left.
RelationThe number (n) of boxes and the required empty space that can fit in the available space is ...
8n +2 ≤ 56
8n ≤ 54
n ≤ 6 3/4
6 boxes will fit in the remaining space.
What is the first term of the quotient of the following division problem?
(x³ - 1) = (x + 2)
O -0.5
O 1
O x²
Ox^4
Answers
The solution to the algebraic problem is \(x^{2}\)
What is an Algebraic Equation?
An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.
Solution:
(\(x^{3}\) – 1) = (x+2)
On dividing (\(x^{3} - 1\)) by (x+2)
The first term of the quotient will be x^2 by following the Long Division Method of Algebraic Division.
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Which is the coefficient in the expression 7x + 14?
Answers
Answer:
7
Step-by-step explanation:
A coefficient is the number before a variable (x, y, z...etc).
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Bay Side School
0 5, 6, 8
9, 8, 2, 0 1 0, 2, 4, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 0, 0, 2, 3, 5
0 3
4 2
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Bay Side
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a larger class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
Part A: The measures of center in Mountain View School, mean = 4.75, median = 4.5 and Bay Side School, mean = 5.5, median = 4.5
Part B: The measures of variability: Mountain View School, Range= 9 IQR= 4, Bay Side School, Range= 10 IQR= 3
Part C: Bay Side School would be the better choice.
Part A: Measures of Center
To calculate the measures of center, we will determine the mean and median for each school.
Mountain View School:
Mean = (0 + 5 + 6 + 8 + 9 + 8 + 2 + 0) / 8 = 38 / 8 = 4.75
Median = (4 + 5) / 2 = 4.5
Bay Side School:
Mean = (10 + 2 + 4 + 5 + 6 + 8 + 8 + 7 + 6 + 5 + 5 + 4 + 4 + 3 + 1 + 0) / 16 = 88 / 16 = 5.5
Median = (4 + 5) / 2 = 4.5
Part B: Measures of Variability
To calculate the measures of variability, we will determine the range and interquartile range (IQR) for each school.
Mountain View School:
Range = 9 - 0 = 9
IQR = (6 - 2) = 4
Bay Side School:
Range = 10 - 0 = 10
IQR = (6 - 3) = 3
Part C: Choice based on Class Size
If you are interested in a larger class size, Bay Side School would be the better choice. The mean class size at Bay Side School is 5.5, while at Mountain View School it is 4.75. The range of class sizes at Bay Side School is also larger (10) compared to Mountain View School (9). This indicates that there is a greater variation in class sizes at Bay Side School, providing a higher likelihood of finding larger class sizes. However, it's important to consider other factors such as teaching quality, resources, and overall educational environment before making a final decision.
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Need help with top problem. Maybe bottom too
Answers
1) The area of a circle circumscribed about a square is 307.7 cm².
2.a.) The angle ACB is 39 degrees.°.
2b.) The value of x is 5.42.
How to determine the area of a circle?We shall find the radius to determine the area of a circle.
First, find the side length of the square:
Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.
Next, find the diagonal of the square, using the Pythagorean theorem:
Diagonal = the diameter of the circumscribed circle.
Diagonal² = side length² + side length²
= 14 cm² + 14 cm²
= 196 cm² + 196 cm²
= 392 cm²
Take the square root of both sides:
Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)
Then, the radius of the circle which is half the diagonal:
Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)
Finally, compute the area of the circle using the formula:
Area = π * Radius²
Area = 3.14 * (9.90 cm)²
Area ≈ 307.7 cm² (rounded to two decimal places)
Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².
2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.
Given that arc AB has a measure of 78°, we can find angle ACB as follows:
Angle ACB = 1/2 * arc AB
= 1/2 * 78°
= 39°
Therefore, the angle ACB is 39 degrees.
2b.) To solve for the value of x, we use the information that the angle ADB = (3x - 12)⁴.
Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:
(3x - 12)⁴ = 78
Solve the equation for x, by taking the fourth root of both sides:
∛∛((3x - 12)⁴) = ∛∛78
Simplify,
3x - 12 = ∛(78)
Isolate x by adding 12 to both sides:
3x - 12 + 12 = ∛(78) + 12
3x = ∛(78) + 12
Finally, divide both sides by 3:
x = (∛(78) + 12) / 3
x = (4.27 +12) / 3
x = 5.42
So, x is 5.42
Therefore,
1) The area of the circle is 154 cm².
2a.) Angle ACB is equal to 102°.
2b.) The value of x is 5.42
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Aaron wants to draw the development of a cylinder. Which method of development should he use?
A.
parallel line
B.
approximate
C.
triangulation
D.
radial line
E.
non-curved to non-curved triangulation
Answers
Answer:
The correct option is A. Parallel line.
Factor completely 625x4 - 81.
O (5x - 3)(5x - 3)(25x² + 9)
O (5x - 3)(5x+3)(25x² - 9)
O (5x+3)(5x + 3)(25x² + 9)
O (5x - 3)(5x+3)(25x² + 9)
Answers
Answer:
A
Step-by-step explanation:
We can factor 625x^4 - 81 by recognizing it as the difference of two squares:
625x^4 - 81 = (25x^2)^2 - 9^2
This can be further simplified using the formula for the difference of squares, which states that:
a^2 - b^2 = (a + b)(a - b)
In this case, a = 25x^2 and b = 9, so we have:
(25x^2 + 9)(25x^2 - 9)
We can then use the difference of squares formula again to factor 25x^2 - 9:
25x^2 - 9 = (5x)^2 - 3^2 = (5x + 3)(5x - 3)
Substituting this into our original expression, we get:
625x^4 - 81 = (25x^2 + 9)(25x^2 - 9) = (25x^2 + 9)(5x + 3)(5x - 3)
Therefore, the fully factored form of 625x^4 - 81 is (25x^2 + 9)(5x + 3)(5x - 3). Answer: (A) (5x - 3)(5x - 3)(25x² + 9)