A city planner is making a map for a new neighborhood. Laurel Avenue and Portland Avenue are parallel to each other. Ash Street intersects both avenues. She measured ∠1 to be 40°. Drag each angle to the correct measure.
Help
Given the lines are parallel, it can be inferred that angle 2 is equivalent to option A 130 degrees as per the corresponding angles property.
Alternatively, angle 3 and angle 2 are supplementary, and as angle 3 is 50 degrees, angle 2 can be calculated by subtracting 50 from 180, which gives 130 degrees. Therefore, the answer is option A, which represents 130 degrees.Corresponding angles are a pair of angles that are in the same position at the intersection of two parallel lines and a transversal line that cuts across them. In other words, corresponding angles are angles that occupy the same relative position at the intersection of two parallel lines when a third line cuts through them.
The corresponding angles are equal in measure, which means that they have the same degree of angle measure. This property is a consequence of the fact that the parallel lines create a set of parallel line segments that are equidistant from eachother.
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The complete question is :
A map of a new community is being created by a city planner. Portland Avenue and Laurel Avenue run parallel to one another. Both avenues are intersected by Ash Street. She determined that 1 was 40°. Drag every angle to its proper measurement.
Area of composite shapes, There is a pair of parallel sides in the following shape.
What is the area of the shape?
The following form has two parallel sides, and, in accordance with the provided assertion, its area is 21 cm².
What does mathematicians mean by area?Area is the entire amount of space occupied by a flattened (2-D) surface or form of an item. The area of a planar figure is the space that its perimeter encloses. The quantity of unit rectangles that completely encircle a closed figure's surface is its area. Square units such as cm² and m² are used to measure area.
The ratio will also be 1/2 * (bases 1 + base 2) * length since it is a trapezium.
So, 1/2 * ( 9+5) * 3
= 1/2 * 14 * 3
= 1/2 * 42
= 21 cm²
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Find X,so that 7x+1,5x+7,and 2x-1 form an arithmetic sequence and write the first three terms.
The first three terms of the arithmetic sequence are -97, -63, and -29.
The value of x = -14.
How to Find the Terms in an Arithmetic Sequence?To find the value of x and the first three terms of the arithmetic sequence, we can equate the differences between consecutive terms:
The common difference (d) is the same between all consecutive terms.
So, we have:
(5x + 7) - (7x + 1) = (2x - 1) - (5x + 7)
Simplifying the equation:
5x + 7 - 7x - 1 = 2x - 1 - 5x - 7
-2x + 6 = -3x - 8
Now, let's solve for X:
-2x + 3x = -8 - 6
x = -14
Substituting the value of X back into the expressions, we can find the first three terms:
First term: 7x + 1 = 7(-14) + 1 = -97
Second term: 5x + 7 = 5(-14) + 7 = -63
Third term: 2x - 1 = 2(-14) - 1 = -29
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Please help! Will give brainliest
\(1.4 < \sqrt{2} < 1.5\hspace{5em}1.7 < \sqrt{3} < 1.8 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lllll} 1.7& < &\sqrt{3}& < &1.8\\\\ 1.7-\sqrt{2}& < &\sqrt{3}-\sqrt{2}& < &1.8-\sqrt{2}\\\\ 1.7-1.5& < &\sqrt{3}-\sqrt{2}& < &1.8-1.4\\\\ 0.2& < &\sqrt{3}-\sqrt{2}& < &0.4 \end{array}\)
we're subtracting the upper-bound of √2, so is the most we can subtract from 1.7, and we're subtracting the lower-bound of √2 from 1.8, that way the resultant is within range.
Anne’s potato salad recipe requires one pound of potatoes for every four people served. How many pounds of potatoes will Anne need to serve 14 people at her picnic?
Answer:
4 lbs
Step-by-step explanation:
1:4=4:16
16 is bigger than 14
So 4 lbs
Please help I am taking a test! I will reward brainiest if you are correct (the picture is attached) for number 11!!
Answer:
I confirm that the person above me is right.
Step-by-step explanation:
Enjoy your brainliest ;)
3/2 inches of snow fell in 3/4 of an hour. Which two statements are correct?
Answer:
A and E
Step-by-step explanation:
Determine whether the following relationship is a linear inequality or not
1. Y < 3
2. x ≥ 6
3. x² > -3
4. x -3 > 1/2
5. xy + 5 ≤ 7
Answer:
What is a linear inequality ? A linear inequality has the same condition as a linear equality, but instead of the equal sign, we have for example this one ≤ wish means less than or equal to.
But what are the condition of a linear equality ? There are many ways of writing linear equations but they usually have constants (like "2" or "c") and must have simple variables (like "x" or "y") BUT the variables (x and y) on a linear equation do NOT have Exponents (like the 2 in x²) and square roots,
1. y < 3
Yes, this is a linear inequation. Frequently, the term linear equation refers implicitly to the case of just one variable (here y).
2. x ≥ 6
Yes.
3. x² > - 3
No, remember the rule the variable (here x) must not have exponents.
4. x - 3 > 1/2
Yes.
5. xy + 5 ≤ 7
This one is nice. If both x and y are variables then the answer is no, it's not a linear inequation. Why ?The linear equation is a sum of terms like "Ax" where x is a variable, and A is a number or a constant. On the other hand if x or y was a constant (like e or π), it could be treated as a number and the whole expression would become linear.
You can also have fun and write :
xy ≤ 2
for y > 0 we write:
x ≤ 2/y
x ≤ 2\(y^{-1}\)
and then simply say exponents are not allowed so not a linear inequation.
PLEASEEEEE HELP MEEEEEE
Answer:
A) Vector component for the cruise ship: (0, -22)
B) Vector component for the Gulf Stream: (4, 0)
C) Resultant vector: (4, -22)
D) Resultant velocity: Approximately 22.4 mph (rounded to the nearest tenth)
E) Resultant direction: Approximately -80.5 degrees (rounded to the nearest tenth)
Step-by-step explanation:
To solve this problem, we'll consider the velocities of the cruise ship and the Gulf Stream as vectors and calculate their components and resultant vector. Then we'll find the magnitude (resultant velocity) and direction (resultant direction) of the resultant vector.
Given:
Cruise ship velocity (south): 22 mph
Gulf Stream velocity (east): 4 mph
A) Vector component for the cruise ship:
The cruise ship is traveling south, so its velocity vector is (0, -22).
B) Vector component for the Gulf Stream:
The Gulf Stream is flowing east, so its velocity vector is (4, 0).
C) Resultant vector:
To find the resultant vector, we'll add the two velocity vectors together:
Resultant vector = Cruise ship velocity + Gulf Stream velocity
Resultant vector = (0, -22) + (4, 0)
Resultant vector = (0 + 4, -22 + 0)
Resultant vector = (4, -22)
D) Resultant velocity:
The magnitude of the resultant vector gives us the resultant velocity. We can use the Pythagorean theorem to calculate it:
Resultant velocity = sqrt((x-component)^2 + (y-component)^2)
Resultant velocity = sqrt((4)^2 + (-22)^2)
Resultant velocity = sqrt(16 + 484)
Resultant velocity = sqrt(500)
Resultant velocity ≈ 22.4 mph (rounded to the nearest tenth)
E) Resultant direction:
The direction of the resultant vector can be found using trigonometry. We'll use the inverse tangent function (arctan) to find the angle between the resultant vector and the positive x-axis.
Resultant direction = arctan(y-component / x-component)
Resultant direction = arctan(-22 / 4)
Resultant direction ≈ -1.405 radians or -80.5 degrees (rounded to the nearest tenth)
Therefore, the answers are:
A) Vector component for the cruise ship: (0, -22)
B) Vector component for the Gulf Stream: (4, 0)
C) Resultant vector: (4, -22)
D) Resultant velocity: Approximately 22.4 mph (rounded to the nearest tenth)
E) Resultant direction: Approximately -80.5 degrees (rounded to the nearest tenth)
Factor 24k+36q−12 to identify the equivalent expressions.
Answer:
The factored expression is 12(2k + 3q - 1)
Step-by-step explanation:
To factor the expression, we identify the greatest common factor between 24, 36 and 12. Between the variables(k, q, and 1), there is no gcf, so no need to find.
GCF between 24, 36 and 12:
We factore these numbers simultaneously, while all of them can be factored by the same value. So
24 - 36 - 12|2
12 - 18 - 6|2
6 - 9 - 3|3
2 - 3 - 1
So gcf(24,36,12) = 2*2*3 = 12
Factored expression:
\(12(\frac{24k}{12} + \frac{36q}{12} - \frac{12}{12}) = 12(2k + 3q - 1)\)
The factored expression is 12(2k + 3q - 1)
Complete the table for the equation you wrote in Exercise 6.
Answer:
You know you forgot to put a pictures I would recommend to put a picture to get desired answers!
Step-by-step explanation:
Answer:7,10,13,16
:))))
The graph of part of linear function h is shown on the grid. Which inequality best represents the domain of the part shown?
The domain of the given function would be -
- 5 ≤ x < 3.
What is a function?
An function in mathematics defines a relationship between one variable (the independent variable {x}) and another variable (the dependent variable {y}). Example → y = f{x} = ax + b.
Given is the graph of the linear equation as shown in the image.
Domain represents the set of values along the {x} - axis.
So, we can write -
- 5 ≤ x < 3
Therefore, the domain of the given function would be -
- 5 ≤ x < 3.
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3/10 x 5/10 proper fraction
To multiply two fractions, we simply multiply their numerators together and their denominators together.
So, to find the product of 3/10 and 5/10, we have:
(3/10) x (5/10) = (3 x 5) / (10 x 10) = 15/100
Since 15 and 100 have a common factor of 5, we can simplify the fraction by dividing both the numerator and denominator by 5:
15/100 = (15 ÷ 5) / (100 ÷ 5) = 3/20
Therefore, the product of 3/10 and 5/10 is 3/20, which is a proper fraction.
Simplify the expression so there is only one positive power for the base, -5.
Answer:
c
Step-by-step explanation:
it's a property of powers, when the base is the same (-5) , you need to
sum the powers when both terms are multiplyng
subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)
8.5 x 6.5 i need help with this question
Answer:
55.25
Step-by-step explanation:
So, all you gotta do is get rid of the decimal, times them both, then add the decimal back into it, and how you do that is you see how many numbers are behind a decimal point in the first place, in this case, it's two (8.5, 6.5) and you got your answer!
Hope this helps! <D
A national grocery store chain designed a study to determine whether its customers would be interested in home delivery. The
chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who
hopped in the chain's stores were interested in the service. What is the sample in the study?
The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.
The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.
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PLEASE HELP ME PLEASE!!
Step-by-step explanation:
in such a case, where we have all the sides and need angles, the best tool is the extended Pythagoras (for general triangles and not just for right-angled ones) :
c² = a² + b² - 2ab×cos(C)
c is the side opposite of angle C.
the side opposite of B is CA.
so, we have
220² = 100² + 160² - 2×100×160×cos(B)
48,400 = 10,000 + 25,600 - 32,000×cos(B)
12,800 = -32,000×cos(B)
cos(B) = -12,800/32,000 = -0.4
B = 113.5781785...° ≈ 114°
If triangles ABC and DEF are similar, what is y? Show your work.
The value of y is 18
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.
Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.
Therefore;
14/21 = 12/y
14y = 21 × 12
14y = 252
divide both sides by 14
y = 252/14
y = 18
Therefore the value of y is 18.
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AN(B\C)=(ANB)\C
how to prove if True or False?
Answer:
AN*(B\C)=(ANB)\C=>ANB/C=ANB/C
Answer:
It's true but I don't know if my proof is technical enough for you.
Step-by-step explanation:
Multiplication and division of numbers can happen in any order.
Help??? Pleaseeeeee???
Answer:
its B
Step-by-step explanation: trust me but also you can graph it and it will show the points
A local little league has a total of 60 players, of whom 20% are left-handed. How many left-handed players are there?
Answer:
There are 12 left-handed players in the league
Step-by-step explanation:
To find the value of the percentage of a given number, change the percentage at first to decimal by divide it by 100, then multiply the decimal by the number.Ex: 5% of 50 ⇒ 5% = \(\frac{5}{100}\) = 0.05 ⇒ 5% × 50 = 0.05 × 50 = 2.5Let us solve the problem
∵ A local little league has a total of 60 players
∵ 20% of them are left-handed
→ Find 20% of 60
∴ The number of left-handed players = 20% × 60
→ Change 20% to a decimal
∵ 20% = \(\frac{20}{100}\) = 0.20
∴ The number of left-handed players = 0.20 × 60
∴ The number of left-handed players = 12
∴ There are 12 left-handed players in the league
The first shelf on Hannah’s bookshelf hoods an equal number of fiction and nonfiction. If Hannah’s selects 5 books randomly, what is the probability that 3 of the books will be fiction and 2 will be nonfiction
Answer:
The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.
Step-by-step explanation:
What is probability?
Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.
To find which 2 books describe a pair of dependent events:
A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.
Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.
Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.
Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.
Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.
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A 20 in board is to be cut into 3 pieces so that the second piece is 4 times as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece , find the length of all three pieces
Answer:
first piece: 2in
second piece: 8in
third piece: 10in
Step-by-step explanation:
We have
first piece + second piece + third piece = 20
second piece = 4 * first piece = 4x
third piece = 5 * first piece = 5x
x + second piece + third piece = 20
plug 4x in for the second piece, 5x in for the third
x + 4x + 5x = 20
combine like terms
10x = 20
divide both sides by 10 to isolate x
x = 2
second piece = 4x = 8
third piece = 5x = 10
Graph the line with the slope 1 passing through the point (-2,-1)
Answer:
Step-by-step explanation:
how do you do 4 3/16 + 1 1/10?
Answer:
5 23/80
Step-by-step explanation:
First, you need to find the least common multiple of 16 and 10 to add the fractions. The LCM of 16 and 10 is 80. You have to multiply 5 to 16 to get 80 and 8 to 10 to get 80, so you also multiply the numerator by those numbers. In the end you would get 4 15/80+1 8/80, which equals 5 23/80.
Find the y-intercept of the following equation. Simplify your answer.
y = 5x + 7
f(x) = 5x-7
find f(3)
Answer:
8
Step-by-step explanation:
\(f(3)=5(3)-7=15-7=8\)
Answer:
8
Step-by-step explanation:
f(x)=5x-7
f(3)=5(3)-7
=15-7
=8
what is the area of the figure
Answer:
A = 2184 cm²
Step-by-step explanation:
the area (A) of the figure is calculated as
A = \(\frac{1}{2}\) h(b₁ + b₂)
where h is the perpendicular height between the bases b₁ and b₂
here h = 42 , b₁ = 52 , b₂ = 52 , then
A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²
Answer:
A = 2184 cm2
Step-by-step explanation:
Area of a parallelogram:
\(A = b*h\)
\(b=52,h=42\)
\(A=(42)(52)=2184cm^{2}\)
Hope this helps.
Find the volume of a right circular cone that has a height of 17.6 m and a base with a
radius of 8 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
1179m^3
Step-by-step explanation:
Given radius=8m
Height=17.6m
Volume of the cone=1/3πr^2h
1/3 πr^2h
=1/3×3.14×8×8×17.6
=1178.96
Nearest tenth is 1179
So volume is 1179m^3
Twenty four blood samples were selected by taking every seventh blood sample from racks holding 199 blood samples from the morning draw at a medical center ANSWER BOTH A AND B
a. FPCF for this sample is FPCF = √(199/24) = 2.89.
b. The population cannot be considered effectively infinite, so the answer is no.
What is FPCF?When the sample size is significant compared to the size of the community, the Finite Population Correction Factor, also known as the FPC factor, is applied. The population in most cases is so vast that typical sample sizes are insufficient to raise concerns about the need for the FPC.
The recommendation is to use the FPC when the sample size to population size ratio is higher than 5%. The FPCF must be used, for instance, if the population number is 300 and the sample size is 30, which results in a ratio of 10%.
a. To calculate the FPCF (finite population correction factor) for this sample, we can use the formula:
FPCF = √(N/n)
where N is the population size, and n is the sample size.
In this case, N = 199 (the number of blood samples in the racks), and n = 24 (the number of samples selected every seventh blood sample).
FPCF = √(199/24) = 2.89 (rounded to two decimal places)
b. To determine whether the population should be considered effectively infinite, we need to compare the sample size to the population size. A general rule of thumb is that the population can be considered effectively infinite if the sample size is less than 5-10% of the population size.
In this case, the sample size is 24, which is approximately 12% of the population size of 199. Therefore, the population cannot be considered effectively infinite, and the FPCF should be applied to adjust for the finite population size.
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