Answer:
160 degrees.
Step-by-step explanation: The interior angle of a polygon formula. S=(n-2) x 180/n. The equation would look like p=(18-2) x 180/18=160.
BD is the bisector of angle ABC Determine the measure of angle ABD
Answer:
45 degrees
Step-by-step explanation:
A bisector divides an angle into two equal parts. Since we are dividing a 90 degree angle by 2, we get a resulting value of 45 degrees.
X^2 + y^2 = 81 write down the equations of the two horizontal lines that are tangent to c
Answer:
Step-by-step explanation:
x² + y² = 81
x + y = √81
x + y = 9
x ≥ 9
y ≤ 9
Simplify
[tex](2x - 3) - (x - 4)[/tex]
Factorize
[tex]16 - 4 {x}^{2} [/tex]
Answer + Explanation:
#1 Simplification:
(2x - 3) - (x - 4)
2x - 3 - x + 4
2x - x - 3 + 4
x + 1
#2 Factorization:
16 - 4x²
-4x² + 16
-4(x² - 4)
-4(x² - 2²)
-4(x + 2)(x - 2)
Which expression is the simplest form of - (4x³ + x²) + 2 (x³ - 3x²)?
OA.-223-5x²
B. -6x³6x²
OC.-6x³2x²
OD. -2x³-7x²
SUBMIT
Answer:
-2x³ - 7x².
Step-by-step explanation:
- (4x³ + x²) + 2(x³ - 3x²)
= - 4x³ - x² + 2x³ - 6x² Simplifying like terms:
= -2x³ - 7x².
Solve for x :
[tex]\qquad \rightarrow\bf 4x + 9x + 2x = 30[/tex]
I Need explanation
Answer:
x=2
Step-by-step explanation:
combine like terms to get 15x=30. divide by 15 on both sides to get x=2
Answer:
x=2
Step-by-step explanation:
1. Simplify the expression
4x+9x+2x=30
Simplify the arithmetic:
15x=30
2. Isolate the x
15x=30
Divide both sides by 15:
[tex]\frac{15x}{15}=\frac{30}{15}[/tex]
Simplify the fraction:
[tex]x=\frac{30}{15}[/tex]
Find the greatest common factor of the numerator and denominator:
[tex]x=\frac{2\cdot 15}{1\cdot 15}[/tex]
Factor out and cancel the greatest common factor:
[tex]x=2[/tex]
Why learn this
Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?
Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.
Terms and topics
Linear equations with one unknowna decimal, and t is the time in years.
1) Emily has $50 in a savings account. The interest rate is 5% per year and is not compounded.
How much will she have in 1 year?
Answer:
52.50$
Given:
⇒ Emily has 50% in a savings account currently.
⇒ Interest rate is 5% per year and is not compounded
To find:
⇒ How much she will have in 1 year
__
steps
⇒ [tex]5\text{percent} \times50[/tex]
⇒ [tex]=\frac{5}{100} \times50[/tex]
⇒ [tex]=\frac{100}{(5\times50)}[/tex]
⇒ [tex]= \frac{250}{100}[/tex]
⇒ [tex]=2.5[/tex]
Now that we have calculated her interest rate per year, we must calculate that added onto her balance in her account before the interest was applied.
⇒ [tex]2.5+50\[/tex]
⇒ [tex]52.50\[/tex]
Therefore, Emily will have 52 dollars and 50 cents in a year.
Simplify 10√3x +4√3x +5√3x
Add the like terms :
10√3x + 4√3x + 5√3x(10 + 4 + 5)√3x19√3xPerpendicular segments are best described as being which of the following?
A. Segments that intersect
B. Segments that are coplanar
C. Segments that will never intersect
D. Segments that intersect at a right angle
Answer:
D
Step-by-step explanation:
Perpendicular lines intersect at a 90° angle.
Answer:
D. Segments that intersect at a right angle
Step-by-step explanation:
What are the measures of Angles a, b, and c? Show your work and explain your answers.
70°
explain this please thanks.
Answer:
Step-by-step explanation:
Two possible patters of sitting:
⇒ [tex]I) M W M W M W[/tex]
⇒ [tex]II) W M W M W M[/tex]
⇒ Three ways can be used to seat each set of three people, for a total of six.
⇒ There are two groups
2 × 3 = 6 (ways in six groups.)
*The two options can be distributed in two groups.
⇒ Total methods are equal to 6 * 6 * 2 = 72 ways.
which equation matches this graph?
The first function represents the graph of a function provided in the picture option first is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of a function shown in the picture.
[tex]\rm f\left(x\right)\ =\ -\sqrt{\left(x-3\right)}\ +\ 2[/tex]
x - 3 ≥ 0
x ≥ 3
Plug x = 3
f(x) = 2
Thus, the first function represents the graph of a function provided in the picture option first is correct.
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Choose the congruence theorem that you would use to prove the triangles congruent.
AAS
SAS
ASA
SSS
Answer:
C) ASA
Step-by-step explanation:
From the diagram we can see:
The triangles have two congruent angles and one congruent side which is between those two angles.
It means the triangles are congruent by angle-side-angle or in short ASA theorem.
Correct answer choice is C
A pair of parallel lines is cut by a transversal, as shown:
A pair of parallel lines is shown cut by a transversal. Angle x is located in the upper right exterior next to the transversal, and angle y is located in the bottom left exterior corner of the transversal.
Which of the following best represents the relationship between angles x and y?
x = 180 degrees − y
y = 180 degrees − x
x = y
x = 2y
The correct answer is option C which is x = y.
What is the alternate interior angle?The angle formed by the line intersecting two parallel lines is called the alternate interior angle. This two angles are equal in magnitude.
In the given figure we can see that the angle x will be equal to the angle y because of the right opposite angles.
Since two parallel lines are cutting the upper part at x so the same lower part will be also x due to corresponding angles.
Now just right opposite to x there is an angle y so the angles x and y will be equal to each other.
Therefore the correct answer is option C which is x = y.
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Iliana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3?
3 p minus 2; when p = 3 the number of plants is 7
3 p + 2; when p = 3 the number of plants is 11
p cubed minus 2; when p = 3 the number of plants is 25
p cubed + 2; when p = 3 the number of plants is 29
The correct answer is option D which is p ³+ 2; when p = 3 the number of plants is 29.
The complete question is given below:-
liana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3? 3 p minus 2; when p = 3 the number of plants is 7 3 p + 2; when p = 3 the number of plants is 11 p cubed minus 2; when p = 3 the number of plants is 25 p cubed + 2; when p = 3 the number of plants is 29
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given expression is liana cubed the number of flowering plants in her garden, then added 2 vegetable plants.
If she cubed the number of the plants will be:- P³
Now she added two vegetable plants:- 2
Then the equation will be:- p³ + 2. Now we will put the value of p = 3 in the equation.
Total number of the plants = ( 3 )³ + 2 = 27 + 2 = 29
Therefore the correct answer is option D which is p³+ 2; when p = 3 the number of plants is 29.
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i need quick help on this, please
The coordinates of a point located on the grid is (64.65, 12.4).
We need to find the coordinates of the point given on the grid.
What are coordinates?In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
Now, from the given grid we can see that the point is located at (64.65, 12.4)
Therefore, the coordinates of a point located on the grid is (64.65, 12.4).
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The slope of the line below is 2. Use the coordinates of the labeled point to
find a point-slope equation of the line.
• (3,10)
) A. y+ 10 = 2(x+ 3)
B. y - 10 = -2(x- 3)
D C. y + 10 = -2(x+3)
D. y - 10 = 2(x - 3)
Answer:
y - 10 = 2(x - 3)
Explanation:
Equation:
y - y₁ = m(x - x₁)
Here given:
coordinates: (x, y) = (3, 10)
x₁ = 3y₁ = 10slope (m) = 2Inserting value's:
y - 10 = 2(x - 3) in point slope form
y = 2x - 6 + 10
y = 2x + 4 in slope-intercept form
Answer:
d) y - 10 = 2(x - 3)
Step-by-step explanation:
Given: a line with a slope of 2, and the point (3, 10)
⇒ Point-Slope Form: y - y₁ = m(x - x₁)
where: m is the slope, and (x₁, y₁) is a given point
Substitute the values into the form:
⇒ y - y₁ = m(x - x₁)
⇒ y - 10 = 2(x - 3)
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2.865; cut it to the ten thousandths
Answer:
2.865.
Step-by-step explanation:
first get to know the place value of each digit is you move on you will realise that there's no digit for tens of thousands that means that you can add a zero which which will be counted as tens of thousands and since it's not past 5 it can't change the other number. I mean it can't add 1 to 5 so the number remains 2.865 good day.
11. Find the amount of interest on $600, if a bank is paying 5.5% interest.
[A] $30 [B] $3.30
[C] $330
[D] $33
[E] $23
The class-mark of the class 80-90 is
Answer:
maths/hindi
Step-by-step explanation:
Convert each rate using dimensional analysis. Round to the nearest tenth, if necessary.
45 mi/h = ___ ft/s
The 45 mi/h is equal to the 2640 ft/min.
To convert 30 miles per hour to feet per minute, we use dimensional analysis in the process.
We have given that, rate using dimensional analysis.
What is the 1 hour?
1 hour = 60 minutes.
1 mile is equal to 5280 feet and 1 hour is equal to 60 minutes.
Hence the formula of conversion is 30 miles / hour *(5280 ft/ mile) * (1 hour / 60 min).
The answer is 2640 ft/min.
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Elaine saw statistics showing that union employees make an average of 30 percent more than nonunion workers, so when she was looking for a new job, she looked for one at a company that was unionized. Elaine was motivated by
Elaine saw statistics showing that union employees make an average of 30 percent more than nonunion workers, so when she was looking for a new job, she looked for one at a company that was unionized. Elaine was motivated by Economic needs.
What do we mean by economic needs?
By economic need Elaine is trying to get a company that would pay her more. Hence the need to go for the Unionized company.
This is given that the Unionized company is said to earn more than the other company. Hence her motivation is due to her economic needs.
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find the equation of the arithmetic sequence in which t(5)=40 and t(10)=70.
The equation of the arithmetic sequence in which t(5)=40 and t(10)=70 is tₙ = 10 + 6n
How to find the equation of an arithmetic sequence?The equation of an arithmetic sequence can be represented as follows;
tₙ = a + (n -1)d
where
a = first termd = common differencen = number of termsHence,
70 = a + 9d
40 = a + 4d
30 = 5d
d = 30 / 5
d = 6
Therefore,
40 = a + 4(6)
40 - 24 = a
a = 16
Hence, the equation is as follows:
tₙ = 16 + (n - 1)6
tₙ = 16 + 6n - 6
tₙ = 16 - 6 + 6n
tₙ = 10 + 6n
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Which of the following statements are true?
I. Each white blood cell contains millions of hemoglobin molecules.
II. In a sample of blood, there are more red blood cells than white blood cells.
III. HIV destroys red blood cells.
IV. All blood cells come from one pool of stem cells.
The correct answer is option B that is Each white blood cell contains millions of haemoglobin molecules. All blood cells come from one pool of stem cells.
The complete question is given below:-
Which of the following statements are true?
I. Each white blood cell contains millions of haemoglobin molecules.
II. In a sample of blood, there are more red blood cells than white blood cells.
III. HIV destroys red blood cells.
IV. All blood cells come from one pool of stem cells.
A. II and IV only
B. I and IV only
C. II and III only
D. I, III, and IV only
E. I, II, and IV only
What are blood cells?The most prevalent form of blood cell and the main source of oxygen for the bodily tissues of vertebrates, red blood cells are also known as red cells, red blood corpuscles, haematids, erythroid cells, or erythrocytes. They circulate through the blood through the circulatory system.
Therefore the correct answer is option B that is Each white blood cell contains millions of haemoglobin molecules. All blood cells come from one pool of stem cells.
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Quick please!!! Buford, the farm hand, is preparing feed for
the animals. He wants to mix the contents of a
bag containing 50% corn with one containing
90% corn to optain a 30-pound bag containing
80% corn. How many pounds of the 50% bag
should he use? (write your answer as a
decimal.)
Buford should use 7.5 pounds of the 50% corn bag.
How do we solve a system of linear equations from word problems?A system of linear equation is an equation containing two different equations with variables and the coefficient.
From the given information, let:
The weight of the bag containing 50% corn be = xThe weight of the bag containing 90% corn be = ySp, we can a system of a linear equation that says:
x + y = 30
0.5x + 0.9y = 0.8(30)
Using elimination method
x + y = 30
-
x - 1.8y = -48
0 - 0.8y = -18
y = 18/0.8
y = 22.5
From x + y = 30
x = 30 - 22.5
x = 7.5
Therefore, we can conclude that he should use 7.5 pounds of the 50% corn bag.
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Solve the equation for x.
√x-5 = x-11
Answer:
√x-5 = x-11 = 9.
Step-by-step explanation:
Isolate the radical, then raise each side of the equation to the power of its index.
x = 9 Solve the equation for x.A 10 ft slide will be installed on a playground. The top of the slide will be 8 ft above the ground.
What angle does the slide make with the ground?
Enter your answer in the box. Round your final answer to the nearest degree.
Answer
12
Step-by-step explanation:
Mara found the length of time of an investment. The principal of the investment was $4,300, the interest rate was 6.2 percent, and the interest was $2,666. Mara made an error in her work.
I = p r t. 2666 = (4300) (0.062) t. 2666 = (266.6) t. StartFraction 266.6 over 2666 EndFraction = t. 0.1 = t.
What was Mara’s error?
Mara did not substitute the values from the problem into the formula correctly.
Mara did not multiply correctly.
Mara did not divide correctly.
Mara divided when she should have multiplied.
The error that Maria made is that she did not divide correctly.
What error did Maria make?The simple interest that is paid on an amount of money is a function of the amount deposited, time and interest rate.
Simple interest = principal x time x interest rate
2666 = 4300 x 0.062 x t
2666 = 266.60t
t = 2666 / 266.60
t = 10 years
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Write the algebraic expression for the following statement.
The sum of a number and 3 is 14.
Answer:
the algebraic expression is; x+3=14
The base of the Hawaiian mountain Mauna Kea is about 5,853 meters below sea level. Its summit is 4,205 meters above sea level. What is the total height of Mauna Kea? The base of the Hawaiian mountain Mauna Kea is about 5,853 meters below sea level . Its summit is 4,205 meters above sea level . What is the total height of Mauna Kea ?
Answer:
100,58 meters
Step-by-step explanation:
You add 5,853 plus 4,205 to get 100,58 Meters. You add the number below and above sea water tog et the total height of the mountain.
Answer:
Mouna Kea is 10,058 meters high
Step-by-step explanation:
in order to calculate the whole height of the Mouna Kea you will need to add the base to the summit.
5,853 +4,205 = 10,058
A food production company is choosing between two suppliers of grain. Supplier A sells grain for $5.25 per bushel plus a
delivery fee of $3 per bushel. Supplier B sells B the grain for $6.50 per bushel plus a flat delivery fee of $1,500 each week.
Which supplier would cost more if the production company bought 500 bushels of grain each week?
O Supplier B would cost $625 more than supplier A.
© Supplier B would cost $600 more than supplier A
O Supplier A would cost $875 more than supplier B.
© Supplier A would cost $800 more than supplier B.
Subtraction is a mathematical operation that reflects the removal of things from a collection. Supplier B would cost $625 more than supplier A. Thus, the correct option is A.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The cost of 500 bushels from supplier A will be,
Cost = ($5.25 × 500) + ($3 × 500)
= $4,125
The cost 500 bushes from supplier B will be,
Cost = $1,500 + ($6.250×500)
= $4,750
Now, the difference between the two suppliers' costs for 500 bushels will be,
Difference = $4,625 - $4,125 = $500
Hence, Supplier B would cost $625 more than supplier A. Thus, the correct option is A.
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