Ok last one! I tried everything im completely lost! Need help one more time.
Answers
Answer:
33 degrees
Step-by-step explanation:
Angle 1 and 2 add up to a right angle which is 90 degrees. To find 2, subtract 57 from 90
90-57=33
Therefore 33 degrees is the answer
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Related Questions
[tex]{x}^{2} + x - 2[/tex]
solve this with first X last method
Answers
Answer:
[tex]x=-2,1[/tex]
Step-by-step explanation:
[tex]x^2+x-2=0\\(x+2)(x-1)=0\\x_1=-2,x_2=1[/tex]
How do you find the missing side of an isosceles triangle?
Answers
Isosceles triangle has three sides, three angles, a base, a height, and an area in which two sides are equal to each other .
What is an isosceles triangle simple definition?
An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length and the remaining side has length. . This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles
the sum of triangle is 180, sum of all the interior angles is equal to 180.
so if you know two angles then apply sum of triangles and find out the value of the third triangle.
isosceles triangle
An isosceles triangle is a type of triangle that has any two sides equal in length. The two angles of an isosceles triangle, opposite to equal sides, are equal in measure.
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PLEASE HELPPP !!
Given the diagram below, which statement is true?
Answers
Answer:
C. ∠1 and ∠3 are vertical angles and congruent.
What is the missing reason for line 2 in this proof?
Answers
Definition of a rectangle
Explanation:
A rectangle has two sets of parallel sides, and those opposite sides are the same length. This is simply the definition of what it means to be a rectangle. Because ABCD is a rectangle, we have these two pairs of congruent opposite sides:
AB = CDAD = BCWhat is the difference of the two polynomials 9x² 8x )-( 2x² 3x?
Answers
The difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.
To find the difference of these two polynomials, we need to subtract the second polynomial from the first. This is done by subtracting each term of the second polynomial from the corresponding term of the first polynomial. In this case, we have:
(9x² + 8x) - (2x² + 3x) = (9x² - 2x²) + (8x - 3x) = 7x² + 5xSo, the difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.
The terms that are being subtracted are the terms that have the same degree, meaning the same exponent of the variable.
It's worth noting that the order of subtraction doesn't change the result and that we can subtract polynomials of any degree and size, and it will work the same way.
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what is 13 divided by 12
Answers
Answer:
1.0833333333333333333333333333333333 (repeats)
Step-by-step explanation:
use a calculator
Find the value of xif V√81 = 3.
OA) 4
OB) 2
OC) 8
OD) 27
Answers
The value of exponent x, if [tex]$\sqrt[\text X]{81} = 3[/tex], is 4, in the given equation.
What is exponent?
Exponent is the process of expressing large numbers as powers, according to the definition. Accordingly, the exponent describes the number of times a number has been multiplied by itself. Using 6 as an example, multiply it by itself four times, or 6×6×6×6. 6⁴ can be used to represent this. In this case, the base is 6 and the exponent is 4. You can interpret this as 6 raised to the power of 4.
Exponents are represented by the symbol. The word "carrot" refers to this symbol (). 4 raised to a power of two, for instance, can be expressed as 4^2 or 4². Thus, 4^2 = 4 × 4 = 16. A few exponent-based numerical expressions are represented in the table below.
The value of x, if [tex]$\sqrt[\text X]{81} = 3[/tex]
3 × 3 = 9
9 × 3 = 27
27 × 3 = 81
Thus, The value of x, if [tex]$\sqrt[\text X]{81} = 3[/tex], is 4.
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Which expression is equivalent to 2. 2m² - 3. 5(4m- 1. 4) + 3. 6(8m -4. 5m)?
Answers
2m² - 3. 5(4m- 1. 4) + 3. 6(8m -4. 5m) is equivalent to 2.2m² + 11.3m - 8.7
The polynomial equations of degree two in one variable of type f(x) = ax2 + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of f. (x). The roots of the quadratic equation are the values of x that fulfill the equation (, ).
It is a given that the quadratic equation has two roots. Roots might have either a true or made-up nature.
2m² - 3. 5(4m- 1. 4) + 3. 6(8m -4. 5m) is equivalent to 2.2m² - 3.5(4m- 1.4) + 3.6(8m -4.5m) which is equivalent to 2.2m² - 14m + 4.9 + 25.2m - 12.6m which is equivalent to 2.2m² + 11.3m - 8.7
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Find the area of the shaded region in the above sided figure. Take = 3.14
Answers
Step-by-step explanation:
The Radius of the larger semi circle = [tex]\frac{12}{2}[/tex] = [tex]6[/tex][tex]cm[/tex]
Area of the 2 larger semi Circles = [tex]\frac{\pi r^{2} }{2}[/tex][tex]X2[/tex]
= [tex]\frac{3.14X(6)^{2} }{2} X 2[/tex]
= [tex]\frac{113.04}{2} X2[/tex]
= [tex]113.04[/tex] [tex]cm^{2}[/tex]
Radius of the smaller semi circle = [tex]\frac{5}{2} = 2.5cm[/tex]
Area of the smaller semi circle = [tex]\frac{\pi r^{2} }{2}[/tex][tex]X2[/tex]
= [tex]\frac{3,14X(2.5)^{2} }{2} X 2[/tex]
= [tex]196.25[/tex][tex]cm^{2}[/tex]
Combined Area = [tex]113.04 + 196.25[/tex]
= [tex]309 . 29cm^{2}[/tex]
Q1. In the given figure, ABCD is a parallelogram. Complete each statement along with the definition or property used.
(i) AD = ……….. (ii) DC = ……….. (iii) ∠DCB = ………..
(iv) ∠ADC = ……….. (v) ∠DAB = ……….. (vi) OC = ………..
(vii) OB = ……….. (viii) m∠DAB + m∠CDA = ………..
Answers
Step-by-step explanation:
i. AD = BC= 6cm (each two opposite sides are equal in length in parallelogram)
ii.DC=AB=9cm (each two opposite sides are equal in length in parallelogram)
iii.DCB=60 ,, bec DC and AB are parallel so their interior angles are supplementary their sum equals 180°
so DCB = 180-120=60°
iv.ADC=ABC = 120° because each two opposite angles are equal in measure in parallelogram
v. DAB=DCB =60° because each two opposite angles are equal in measure in parallelogram
vi. OC=AO =7cm because the diagonals of parallelogram bisect each other
vii. OB=DO=5cm because the diagonals of parallelogram bisect each other
viii . DAB=60° ,, CDA= 120 °
DAB+CDA =180°
or you could simply say that because DC and AB are parallel their interior angles are supplementary their sum is 180°
Solve for x in this triangle. Round your answer to the nearest tenth. 37⁰ X 14
Answers
Answer:
x ≈ 18.6
Step-by-step explanation:
using the tangent ratio in the right triangle
tan37° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{x}[/tex] ( multiply both sides by x )
x × tan37° = 14 ( divide both sides by tan37° )
x = [tex]\frac{14}{tan37}[/tex] ≈ 18.6 ( to the nearest tenth )
Researchers will conduct a year-long investigation of walking and cholesterol levels in adults. They will select a random sample of 100 adults from the target population to participate as subjects in the study. (a) One aspect of the study is to record the number of miles each subject walks per day. The researchers are deciding whether to have subjects wear an activity tracker to record the data or to have subjects keep a daily journal of the miles they walk each day. Describe what bias could be introduced by keeping the daily journal instead of wearing the activity tracker.
Answers
(a) - Subjects may enter a false information or data, or mistakes can be done while entering the data.
(b) - The researcher can use the results of the study to make generalization to the entire population.
Bias
A bias can be defined as the tendency of facts to be distorted or subjective rather than being objective. It's a deviation from the facts.
generalization
It is the tendency to respond in the same way to different but similar stimuli.
A representative sample can be defined as a sample drawn from an entire population such that it is a subset of it and has similar characteristics as the population group.
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Swaggerty
1. Rose and Andrew are financing $128,000 to purchase a condominium. They obtained a 15-year, fixed-rate loan with a rate of 5. 5%. They have been given the option of purchasing up to four
points to lower their rate to 4. 81%. How much will the four points cost them?
Answers
For the given principal and two different rate of interest for the 15 years of time period the cost of four points is given by $26786.2.
As given in the question,
Principal amount 'P' = $128,000
Time 't' = 15 years
Rate of interest 'r' = 5.5%
= 0.055
Total amount 'A' received is given by the formula :
A = P ( 1 + r/100 )^n
= 128,000 ( 1 + 5.5 / 100 )^15
= $285756.99
Now when the rate of interest is changed to
Rate of interest 'r' = 4.81%
= 0.0481
Total amount 'A' received is given by the formula :
A = P ( 1 + r/100 )^n
= 128,000 ( 1 + 4.81 / 100 )^15
= $258970.79
Now, the cost of four points is given by:
= $( 285756.99 - 258970.79 )
= $ 26786.2
Therefore, for the given principal amount with two different rate of interest for the time period of 15 years the cost of four points is equal to $26786.2.
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Write the expression as a unit rate.
Joyce painted 8 window frames in 5 hours while earning money for college.
What was her painting rate in window frames per hour?
What was her painting rate in hours per window frame?
Answers
joyce's painting rate in window frames per hour is 1.6 and her painting rate in hours per window frame 0.625.
What is the unit rate?A unit rate is a ratio between two separate units with one as the denominator. Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc. The most fundamental and historically significant field of mathematics is arithmetic, which is also the one we use the most frequently in daily life.
Given, Joyce painted 8 window frames in 5 hours while earning money for college.
Her painting rate in window frames per hour is = 8 /5
Her painting rate in window frames per hour is = 1.6
Her painting rate in hours per window frame is = 5/8
Her painting rate in hours per window frame is = 0.625
therefore, The rate at which Joyce paints is 1.6 window frames per hour and 0.625 hours per window frame.
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Jump to level 1
Housing prices in a small town are normally distributed with a mean of
$142,000 and a standard deviation of $7. 0. Use the empirical rule to
complete the following statement.
Approximately 95% of housing prices are between a low price of
$ Ex: 5000 and a high price of $
Modul Three Assignment Gui.
4. 2. Normal distribution - Goog.
Answers
By standard deviation, 68% housing price are between a low price of $135000 and a high price of $149000.
What is standard deviation in math?
The variability in your dataset is measured by its standard deviation. It reveals the average deviation between each result and the mean.
A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.
Given,
mean (μ) = 142000
standard deviation (σ ) = 7000
By using empirial rule,
P( μ - σ ≤ X ≤ μ + σ ) ≈ 68%
Then,
P(142000 - 7000 ≤ x ≤ 142000 + 7000 ) ≅ 68%
P( 135000 ≤ x ≤ 149000 ) ≅ 68%
68% housing price are between a low price of $135000 and a high price of $149000.
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Analyze and Persevere
Javi is building
a birdhouse. Each of the four walls of the
birdhouse needs to be 5.5 inches long.
Javi has a piece of board that is 24.5 inches
long. Is the board long enough to be
cut into the four walls of the birdhouse?
Estimate using compatible numbers.
Answers
The length of each of the four walls of the birdhouse is 5.5 inches, so the total length of all four walls is approximately 4 x 5.5 = 22 inches. Therefore, Javi's board is long enough to be cut into the four walls of the birdhouse.
What is the wall equation?Walls. Utilize the conventional equation Length x Width = Area to get the area of a wall. Next, apply the same calculation to each window and door's specific area. Subtract the area of the windows and doors from the overall size of the wall once you have recorded all of these dimensions.
The birdhouse must have four walls that are each 5.5 inches thick.
one room needs four walls because of the length of its four walls.
4*5.5=22
A board measuring 24.5 inches long is in Javi's possession. In order to cut through the birdhouse's four walls, it is sufficient.
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five plus two times a number n is less than or equal to eleven. select all of the representation's that are solutions.
1) n less than or equal to 3
2) 3 less than or equal to n
3) n less than or equal to 8
4) 3 greater than or equal to n
Answers
Answer:
The worded problem translates to n ≤ 3
The options that are solutions to the problem are 1 and 4:
1) n less than or equal to 3, and
4) 3 greater than or equal to n (since 3 ≥ n)
Step-by-step explanation:
Let's translate the e=words into expressions:
"five plus two times a number n" becomes 5 + 2n
"is less than or equal to eleven" becomes ≤ 11
Put the two expressions together, with the word "is" and the "=" sign:
5 + 2n ≤ 11
Solving:
2n ≤ 11 - 5
2n ≤ 6
n ≤ 3
The options are:
1) n less than or equal to 3 Correct
2) 3 less than or equal to n Incorrect. 3 is greater than or equal to n
3) n less than or equal to 8 Incorrect. n is less than or equal to 3
4) 3 greater than or equal to n Correct 3 ≥ n
Freddy is helping buy ingredients for salads for the school spaghetti dinner he bought 10 pounds of onions at $0.69 per pound 100 pounds of tomatoes at $0.99 pound 1,000 pounds of break cumbs at $0.09 per pound and 100 pounds of lettuce at $0.69 per pound which of the items he bought cost the most?
Answers
Answer:
Answer: Tomatoes If you multiply 10 x 0.69 (for onions) it would be 6.9If you multiply 100 x 0.99 (for tomatoes) it would be 99Lastly, if you multiply 100 x 0.69 (for lettuce) if would be 69Which are the most? Tomatoes.~ Hope this helps
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Is 10 an even number?
Answers
Yes, 10 is an even number because 10 is completely divisible by 2 that's why it is an even number.10 modulo 2 equals zero.
let's first try to understand what are numbers.
A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that use digits or symbols to represent them. the system of numbers
a helpful collection of numbers
that reflects the number's algebraic and mathematical structure.
offers a common depiction.
Even numbers An even number is any number that can be divided by 2 precisely. The last digit of an even number is always one of the following: 0, 2, 4, 6, or 8. Even numbers can include 2, 4, 6, 8, 10, 12, and 14.
So 10 is an even number.
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What is the solution of the equation x 3y 6 and 2x 3y 12?
Answers
The solution of the equation is x = 6, y = 0.
1. Subtract the two equations:
x3y6 - 2x3y12 = 0
2. Simplify both sides of the equation:
x3y - 2x3y = 0
3. Simplify further calculations:
x3(y - 2y) = 0
4. Factorize the expression:
x(y - 2y) = 0
5. Solve for x:
x = 0
6. Substitute x = 0 into either equation:
3y = 6
7. Solve for y:
y = 2
8. Substitute y = 2 into either equation given above:
x = 6
The solution of the equation is x = 6, y = 2.
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What is the smallest natural number value
for n if the solution for √56n is also a
natural number?
Answers
Answer:
2√14
Step-by-step explanation:
√56 = √4 × √14
which is
2√14
A Lamborghini driver left at 17:50h on an all night journey. The journey took him 14hrs. At what time he reach his destination?
Answers
Answer:
7:50 am in the morning
Step-by-step explanation:
17:50pm = 5:50pm
first simply this by only adding 12 hours
12 hours later- 5:50 am
Then add 2 hours to get the answer
14 hours- 7:50 am in the morning.
( I think)
...
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BD = 10
and DC = 4, what is the length of AD?
Answers
AC = 25 units is the length of AD.
A right triangle is divided into three equal halves by the height of the hypotenuseThe Geometric Mean (Altitude) Theorem (9.7) The hypotenuse of a right triangle is split into two pieces by the height from the right angle. The geometric mean of the lengths of the two hypotenuse segments determines how long the altitude is.
Length of BC = 10 units
Length of DC = 4 units
We will use geometric mean theorem in the given right triangle to get the length of side AC.
[tex]hypotenuse/leg=leg/projection\\AC/BC=BC/DC\\x/10=10/4\\x=25[/tex]
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3: 5 and 2:10 is are equivalent . explain
Answers
The ratios are not equivalent.
Abraham ran 3.18 miles on Monday. On Tuesday, he ran 1.6 times further than he did on Monday. How many more miles did he run on Tuesday than on Monday?
Answers
1.908 miles Abraham run on Tuesday than on Monday.
How miles more miles he run on Tuesday than on Monday?Step 1
Monday he run 3.18 miles
Tuesday he run 1.6 times than Monday
how many more miles miles he run?
Step 2
3.18*(1.6-1)
1.6-1 is 1.6 times further than he did on Monday
Step3
3.18*(1.6-1)
=3.18*0.6
=1.908
he run on Tuesday than on Monday is 1.908
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Abraham ran 1.908 more miles on Tuesday than it was on Monday, based on the information provided.
Why is math referred to as arithmetic?The fundamental ideas in number theory, measurement, and computation are frequently referred to as "arithmetic" (which is derived from the Greek word "arithmos," "number") (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).
First, he ran 3.18 miles on Monday.
He ran 1.6 times more on Tuesday than on Monday.
how many kilometers did he run in total?
Step 2\s3.18*(1.6-1) (1.6-1)
One and a half times closer than he was on Monday at 1.6-1
Step3\s3.18*(1.6-1)\s=3.18*0.6\s=1.908
He ran 2.908 more on Tuesday than it does on Monday.
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Question 3(Multiple Choice Worth 5 points) (05.01)A window is 4 feet wide and 8 feet tall. A rectangle is shown. The length of the rectangle is labeled 4 feet. The width of the rectangle is labeled 8 feet. A manufacturer wants to use a scale factor of 1.5 to enlarge a window. What will the area of the window be after it is enlarged
Answers
Answer: 72 feet²
Step-by-step explanation: Area scale factor = 1.5² = 2.25 Area of the window after it is enlarged = Original area × 2.25 The original area = 8 feet × 4 feet = 32 feet² Area of the window after it is enlarged = 32 feet² × 2.25 = 72 feet²
Lani is making a cake in the shape of a cone. to make the cake, she uses a cone shape mold. the mold has a diameter of 10 inches and a height of 12 inches. what is the volume of the cake? use 3.14 for pi. round to the nearest tenth, if necessary. responses 125.6 in³ 125.6 in³ 314 in³ 314 in³ 942 in³ 942 in³ 1256 in³
Answers
The volume of the cake Lani is making is 314 inches³.
Volume is defined as the amount of space a figure occupies. The formula for the volume of a cone is given by:
V = πr²h/3
where V = volume
r = radius of the base of the cone
h = height of the cone
π = 3.14
If the cone shape mold has a diameter of 10 inches, then its radius is equal to half of 10 which is 5 inches.
Plug in the values to the formula and solve for the volume.
V = πr²h/3
V = (3.14)(5 inches)²(12 inches)/3
V = 314 inches³
Hence, the volume of the cake is 314 inches³.
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Find the coefficient of the $x^2$ term in the expansion of the product$$(2x^2 3x 4)(5x^2 6x 7).$$
Answers
The coefficient of [tex]x^{2}[/tex] in [tex](2x^{2}-3x-4)-(5x^{2}+6x-7)[/tex] is -3.
A coefficient is a multiplicative factor in a polynomial, series, or expression in mathematics. It is typically a number, although it can also be any expression (including variables such as a, b and c). They may also be referred to as parameters if the coefficients are variables in and of themselves. The coefficient in an expression that is not related to any variables is called the constant coefficient (also known as constant term or free coefficient).
Given equation,
[tex](2x^{2}-3x-4)-(5x^{2}+6x-7)[/tex]
= [tex]2x^{2}-3x-4-5x^{2}-6x+7[/tex]
= [tex]-3x^{2}-9x+3[/tex]
Hence, coefficient of [tex]x^{2}[/tex] is -3.
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If a piece of luggage has a height of 20.5 inches and a length of 14.75 inches, what is the maximum width
allowed for that piece of luggage?
A)9.75in
B)10.2in
C)10.25in
D)11.8in
Answers
The maximum possible width of the box will be equivalent to
w = (V/302.4).
What is the volume of the cuboid?The volume of cuboid is given by -
V{C} = Length x Breadth x Height
Given is a piece of luggage has a height of 20.5 inches and a length of 14.75 inches.
We can write the volume of the box as -
V{b} = L x B x H
Assume the volume of the box is {V} cubic inches and its width be {w} inches. So, we can write the inequality as -
(20.5 x 14.75 x w) = V
w = (V/302.4)
Therefore, the maximum possible width of the box will be equivalent to
w = (V/302.4).
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Reason Abstractly Determine if the
statement is true or false. Justify your
response.
The point (1, r) on the graph of a proportional
relationship shows the unit rate r.
Answers
Yes, the statement is true. If a proportional relation has the point (1, r), then r is the unit rate.
Is the statement true or false?Here we have the following statement:
"The point (1, r) on the graph of a proportional relationship shows the unit rate r."
First, remember that a proportional relationship between two variables x and y can be written as:
y = k*x
There k is what we call the constant of proportionality or the unit rate.
If we evaluate that equation in x = 1, we will get:
y = k*1
y = k
Then we have the point (1, k).
In this case, we know that our proportional relation has the point (1, r), comparing this with the case above, we can see that r is the unit rate of the proportional relation.
So the statement is true.
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