Answer:
106
Step-by-step explanation:
Interior angles add up to 360 degrees.
360-74-74(angles across are the same)=212
212/2=106 degrees
Answer:
x = 106°
Step-by-step explanation:
adjacent angles in this parallelogram are supplementary (add to 180°)
Which of the numbers below is not only a natural number, but also a whole number, a rational number, and an integer?
Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions as the one shown.
8x + 7y = 39
4x – 14y = –68
Answer:
Sample Response: Using the linear combination method, you can multiply the first equation by 2 and add the equations to get 20x = 10. Dividing both sides by 20, x = 1/2. To solve for y, substitute 1/2 for x in the equation 8x + 7y = 39 to get 4 + 7y = 39. Solving this equation, y = 5. Checking this in the other equation, 4(1/2) – 14(5) = –68 results in 2 – 70 = –68 or –68 = –68. The solution of the system shown is (1/2, 5). The system 8x + 7y = 39 and 20x = 10 is formed by replacing 4x –14y = –68 by a sum of it and a multiple of 8x + 7y = 39. Since 20(1/2) = 10, the system 8x + 7y = 39 and 20x = 10 also has a solution of (1/2, 5).
Hope this was helpful..
Consider the following expression.
2a +7b +5+6b
Select all of the true statements below.
2a is a term.
2a is a factor
5 is a constant.
7b and 6b are like terms.
2a is a coefficient.
None of these are true.
10 1/4 divided by 5 1/2?
Answer:
To divide two mixed numbers, we need to first convert them to improper fractions.
10 1/4 is the same as (10 x 4 + 1)/4 = 41/4
5 1/2 is the same as (5 x 2 + 1)/2 = 11/2
So, we need to divide 41/4 by 11/2:
(41/4) ÷ (11/2)
When dividing by a fraction, we can multiply by its reciprocal (flip the fraction):
(41/4) x (2/11)
Now, we can simplify by canceling out the common factors:
(41 x 2) / (4 x 11) = 82/44 = 41/22
Therefore, 10 1/4 divided by 5 1/2 is equal to 41/22 or approximately 1.86 when rounded to two decimal places.
Por lo tanto, 10 1/4 dividido por 5 1/2 es igual a 41/22 o aproximadamente 1,86 cuando se redondea a dos decimales.
At town has a population of 13000 and grows at 2.5% every year. What will be the population after 5 years, to the nearest whole number?
Answer:
the answer will be 14708
Answer:
14708
Step-by-step explanation:
Apply the formula:
Amount at time t in years =
(Starting amount)(1 + yearly per cent increase)^(Number of years) =
(13,000)(1 + 2.5%)^5 =
13000(1.025)^5 =
14708.3067676 =
14708, to the nearest whole number.
What is 9 less than the product of 6 and a number x?
Answer:
6x - 9
Step-by-step explanation:
the product of 6 and a number x: 6x
9 less than the product...: - 9
6x - 9
can you please help me with this.
Answer:
A
Step-by-step explanation:
Using the given formula for SA
SA = 2πr² + 2πrh ( r is the radius and h the height )
= 2πr(r + h) ← factoring out 2πr from each term
= 2π × 3 × (3 + 5)
= 6π × 8
= 48π in² → A
Which term best describes a parallelogram with diagonals that are perpendicular?-quadrilateral-trapezoid-rectangle-rhombus-kite square-parallelogram
Best describe a parallelogram with diagonals that are perpendicular is rectangle.
A parallelogram with diagonals that are perpendicular is called a rectangle. A rectangle is a special type of parallelogram that has four right angles. This means that the diagonals of a rectangle are perpendicular to each other, and they bisect each other.
In addition to having perpendicular diagonals, a rectangle has other unique properties. Its opposite sides are congruent and parallel, and all angles are right angles. The diagonals of a rectangle have the same length, and they divide the rectangle into four congruent right triangles.
The properties of a rectangle make it a useful shape for many practical applications. For example, rectangular shapes are commonly used in building construction, furniture design, and graphic design. The perpendicular diagonals of a rectangle also make it useful for geometric proofs and calculations.a
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d) What is the y-intercept of the roof? Describe where the peak of the roof is on
the x-y plane
An SRS of 25 students at UH gave an average height of 5.6 feet and a standard deviation of .3 feet. Construct a 90% confidence interval for the mean height of students at UH.
Margin of error for the given standard deviation is m = 5.497 , 5.703
What is standard deviation?
Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.
Main body:
formula for confidence interval is :
m = x-bar ± z* σ/√n
given information =
n = 25
σ = 0.3
mean = 5.6 ft
C.I. = 90% = 0.9
value of 0.9 in z - table = 0.816
substituting value ,
m = 5.6 ±(0.816) * 0.3/√25
m = 5.6 ± 0.103
m = 5.497 , 5.703
Hence margin of error is m = 5.497 , 5.703
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Elements in group 2A (2) of the periodic table form ions with a charge of:
a. 1+
b. 1-
c. 2+
d. 3+
e. 0
Calcium (Ca) can form a Ca2+ cation by losing its two valence electrons.
What is the correct option?Elements in group 2A (2) of the periodic table form ions with a charge of 2+. Therefore, the correct answer is c. 2+.
Group 2A elements, also known as alkaline earth metals, have two valence electrons in their outermost shell, which they tend to lose in chemical reactions to form cations with a charge of 2+. For example, magnesium (Mg) can form a Mg2+ cation by losing its two valence electrons. Similarly, calcium (Ca) can form a Ca2+ cation by losing its two valence electrons.
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A marketing assistant for a technology firm plans to randomly select 1000 customers to estimate the proportion who are satisfied with the firm's performance. Based on the results of the survey, the assistant will construct a 95% confidence interval for the proportion of all customers who are satisfied. The marketing manager, however, says that the firm can afford to survey only 250 customers. How will this decrease in sample size affect the margin of error and confidence interval? True Statements or False Statements
False: The decrease in sample size will increase the margin of error and decrease the confidence interval.
What is interval?Interval is a set of values that are located between two specific points on a line. It can be used to measure the amount of time between two events, the difference between two numbers, or the distance between two points. Intervals can also be used in data analysis to identify patterns or trends. In mathematics, intervals are often represented as a pair of numbers, such as (1, 5).
The decrease in sample size will decrease the margin of error and increase the confidence interval. This is because when the sample size is decreased, the margin of error is increased and the confidence interval is decreased since the precision of the estimate is lower. This means that the range of the confidence interval is wider and the estimates are less precise.
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One number is 5 less than twice another
number. If the sum of the numbers is 7, find
both numbers
Answer:
4 and 3
Step-by-step explanation:
You can create an equation with this. If your first number is y and your second is x, then we know that y is 5 less than 2x. This leads to your equation - y = 2x - 5.
With your equation, you can then figure out your numbers; we know there's a limited number of possibilities - anything 7 or less added to a number can equal 7 so:
7+0=7
6+1=7
5+2=7
4+3=7
3+4=7
2+5=7
1+6=7
0+7=7
From there, plug in one number for x and see if y matches the expected number. For example:
2(7)-5=9, so we know the 7,0 combination cannot be correct. As we go through the list, we find that 4,3 works:
2(4)-5=3
determine whether the set s is linearly independent or linearly dependent.s = {(−2, 2, 4), (1, 9, −2), (2, 3, −3)}
To determine whether the set S is linearly independent or linearly dependent.The set is linearly independent. This is because the only way to make a linear combination of vectors equal to the zero vector is to have all the coefficients equal to zero.
A linear combination of vectors is the sum of a scalar multiple of each vector in the set. We must check if the equation a(-2,2,4) + b(1,9,-2) + c(2,3,-3) = (0,0,0) has only the trivial solution, i.e., a=b=c=0. This gives us the system of equations,-2a + b + 2c = 01a + 9b + 3c = 02a - 2b - 3c = 0We can solve the system of equations by using Gauss-Jordan elimination. The augmented matrix for the system is:[-2 1 2 0][1 9 3 0][2 -2 -3 0]Let's use elementary row operations to simplify the matrix.
We can swap the first and second rows since the first element in the second row is 1.[1 9 3 0][-2 1 2 0][2 -2 -3 0]We can then add twice the first row to the third row to eliminate the leading coefficient in the third row.[1 9 3 0][-2 1 2 0][0 16 3 0]We can then add nine times the first row to the second row to eliminate the leading coefficient in the second row.[1 9 3 0][0 17 15 0][0 16 3 0]We can then add -16/17 times the second row to the third row to eliminate the leading coefficient in the third row.[1 9 3 0][0 17 15 0][0 0 -117/17 0]We see that the only solution is a=0, b=0, and c=0. Therefore, the set S is linearly independent.
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Does the number line below represent the solution to the inequality x > -2?
Answer:
B I aplogize if its wrong i haven't done this type of math in a couple years so its foggy
Hope it Helps!
magnitude in exact form. Write the argument in radians and round it to twoPerform the following multiplication and write the product in trigonometric form. Write thedecimal places if necessary.(-3 + 2i)(V5 + 5i)
We need to write in trigonometric form the following product of complex numbers:
\(\left(-3+2i\right)(\sqrt{5}+5i)\)First, expanding the product, we obtain:
\(\begin{gathered} \left(-3+2i\right)(\sqrt{5}+5i)= \\ \\ -3\sqrt{5}-15i+2\sqrt{5}i+10i^2= \\ \\ -3\sqrt{5}-15\imaginaryI+2\sqrt{5}\imaginaryI+10(-1)= \\ \\ -(3\sqrt{5}+10)+(-15+2\sqrt{5})i \end{gathered}\)Now, the magnitude of this number is:
\(\sqrt{(-3\sqrt{5}-10)^2+(-15+2\sqrt{5})^2}=\sqrt{390}\)An angle with the same tangent as the argument is given by:
\(\arctan\left(\frac{-15+2\sqrt{5}}{-3\sqrt{5}-10}\right)\cong0.562259\)Notice that the above angle lies on the first quadrant. Nevertheless, the argument we are looking for lies in the third quadrant since both the real and the imaginary part of the complex number are negative.
Thus, we need to add π to that value to obtain the argument of this number. We obtain:
\(0.562259+\pi\cong3.70\)Therefore, the answer is:
\(\sqrt{390}(\cos3.7+i\sin3.7)\)please help me asap plssss
Answer: 9
Step-by-step explanation: The number of sides that a regular polygon has can be determined by the measure of one of its exterior angles. A regular polygon is a polygon with sides of equal length and angles of equal measure.
The measure of one exterior angle of a regular polygon is equal to 360° divided by the number of sides of the polygon. Therefore, if one exterior angle of a regular polygon measures 40°, we can use the following equation to find the number of sides of the polygon:
exterior angle measure = 360° / number of sides
40° = 360° / number of sides
number of sides = 360° / 40°
number of sides = 9
Therefore, a regular polygon with one exterior angle measuring 40° has 9 sides.
5 plus 5 and 6 plus 6
Answer:
5+5=10
6+6=12
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
5+5=10
6+6=12
add them up
22
help pleaseee dlkwekemmwnd right now
By using the property of congruency of triangles,
\(\angle\)Y \(\cong\) \(\angle\)X has been proved
What is congruency of triangles?
Two triangles are said to be congruent if the corrosponding angles are equal and the corrosponding sides are equal.
There are different axioms of congruency. They are
SSS axiom, SAS axiom, AAS axiom, ASA axiom, RHS axiom
Z is the midpoint of XY [Given]
WZ \(\perp\) XY [Given]
\(\angle\)WZX \(\cong \angle\)WZY [90° each]
XZ \(\cong\) YZ [Z is the midpoint of XY]
WZ \(\cong\) WZ [Reflexive property of congruency]
\(\Delta\) WXZ \(\cong \Delta\) WYZ [SAS axiom]
\(\angle\)Y \(\cong\) \(\angle\)X [Corrosponding parts of congruent triangles are congruent]
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PLEASE HELP!!! LOOK AT PIC PLEASE!!
Answer: C, D
Step-by-step explanation:
Acute angles of right triangles are complementary, and the sine of an angle is equal to the cosine of its complement.
Find the Value of y. 70 60 65 40
Answer:
125
Step-by-step explanation:
360-70-60-65-40
= 125
Answered by GAUTHMATH
A) 50°
C) 90°
B) 130°
D) 115°
Pls help, if you can’t don’t stress it we got our problems
Find the value of the remaining variable in the formula. Use 3.14 as an approximation for a (pi).
P=2L+2W (perimeter of a rectangle); L = 4, W= 2
P =
Enter your answer in the answer box.
Answer:
P = 12
Step-by-step explanation:
Given formula for the perimeter 'P' of a rectangle is,
P = 2L + 2W
If the values of L and W are,
L = 4 and W = 2
Perimeter of the rectangle = 2(L + W)
= 2(4 + 2)
= 2 × 6
= 12 units
Therefore, value of remaining variable 'Perimeter' = 12 units
(There is no use of 'pi' in calculating the perimeter of a rectangle).
Find the distance between the following two points: *
(3,6) and (9,2)
Answer:
Step-by-step explanation:
(3 , 6 ) ;( 9 , 2)
Distance = \(\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\)
\(= \sqrt{(9-3)^{2}+(2-6)^{2}}\\\\=\sqrt{6^{2}+(-4)^{2}}\\\\=\sqrt{36+16}\\\\=\sqrt{52}\\\\=\sqrt{2*2*13}\\\\=2\sqrt{13}\)
The ordered pairs shown below represent a relation. (3, 2) (5, 1) (6, 0) (4, 4) (5,2) Which number is not in the domain of the relation?
a2
b3
c4
d5
Answer:
d) 5
Step-by-step explanation:
we can observe that the x-value 5 appears twice in the relation. However, in a function or a relation, each x-value should only have one corresponding y-value. Therefore, the repetition of (5, 1) and (5, 2) indicates an inconsistency or ambiguity in the relation. As a result, 5 is not a valid x-value in the domain.
zach surveyed the first 45 celebrities to arrive at the movie premiere. is this a random sample of celebrities?
No, this sample of celebrities taken by Zach is not random.
A random sample is the one in which there is no predictability and it is totally instantaneous.
Hair in the human condition is as has served the first 45 celebrities to arrive at the movie premiere. Firstly it is a movie premiere show only a few selected celebrities who have been invited and above that people who are main cast in the movie must arrived early.
Because our condition is being implemented here we cannot say that this is random sample of celebrities.
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A bowl has 2 blue candies and 3 red candies inside it.
The tree diagram shows that the first event tells us the probability of choosing each blue and red candy.
The second event describes the probability of choosing an additional blue and a red candy.
Find the value of x and y
Answer:
\(x = \frac{1}{4} \)
\(y = \frac{2}{4} \)
Find the first four terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1
an = n - 3
[33] the score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. if a player answered 40 questions and obtained a score of 50, how many questions did the player answer correctly?
We know that the score is obtained by subtracting the number of incorrect answers from twice the number of correct answers. Let's use "x" to represent the number of correct answers.
According to the question, the player answered 40 questions in total. This means that the number of incorrect answers is 40 - x.
Now we can use the formula for the score:
Score = 2x - (40 - x)
We also know that the player obtained a score of 50. So we can set up the equation:
50 = 2x - (40 - x)
Simplifying the equation:
50 = 3x - 40
90 = 3x
x = 30
Therefore, the player answered 30 questions correctly.
To check, we can plug this value back into the formula for the score:
Score = 2x - (40 - x)
Score = 2(30) - (40 - 30)
Score = 60 - 10
Score = 50
So the score of 50 is correct and the player answered 30 questions correctly.
To find out how many questions the player answered correctly in the trivia game with a score of 50, we can use the given information to set up an equation:
Let x be the number of correct answers and y be the number of incorrect answers. According to the question, the score is calculated by subtracting the number of incorrect answers (y) from twice the number of correct answers (2x). The player answered 40 questions in total, so we have:
x + y = 40
2x - y = 50
Now we can solve this system of equations step-by-step:
1. Solve the first equation for x:
x = 40 - y
2. Substitute this expression for x in the second equation:
2(40 - y) - y = 50
3. Simplify the equation:
80 - 2y - y = 50
4. Combine like terms:
80 - 3y = 50
5. Subtract 80 from both sides:
-3y = -30
6. Divide both sides by -3:
y = 10
7. Substitute the value of y back into the expression for x:
x = 40 - 10
x = 30
The player answered 30 questions correctly in the trivia game with a score of 50.
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HELP FAST BRAINLYEST IF CORRECT
Federal
State
1. Bill Introduction: You write your federal representative or senator about your idea, who introduces the idea as a bill in their chamber of Congress.
1. Bill Introduction: You write your state legislator about your idea, who introduces the idea as a bill in the state legislature.
2.
2.
3.
4. The House Rules Committee sets the rules for debate on the bill in the House.
3. Committees debate and edit the bill.
5.
4.
6.
5. The state Senate approves the bill.
7.
6.
8.
Answer:
1. You write your state or federal senator about your idea.
2.The Creation of a Bill
3. Introduction of Legislation
4. Committee Action
5. Floor Action
6. Resolving Differences Between the House and Senate Versions
7. Presidential Action.
8. The Creation of a Law.
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