Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.


The measure of angle ABC is

°.

The measure of angle BAC is

°.

The measure of angle ACB is

°.

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of Jake's tree is 17.325 trees.

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Given Josh is 31.2 meters away from the Red Pine tree. The angle of elevation from Josh to the top of the tree is 48º. Therefore, the height of the Josh tree will be,

Tan(48°) = Height of the tree/ Distance between Josh and tree

Height of the tree = Tan(48°) × 31.2 meter = 34.65 meters

Now, Jake's tree is half as tall as Josh's tree. Therefore, the height of Jake's tree is,

Height of Jake's tree = 34.65 meters = 17.325 meters

Hence, the height of Jake's tree is 17.325 trees.

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Answer:

maths/hindi

Step-by-step explanation:

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.

the first definition of an element was made by

Answer

12

Step-by-step explanation:

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:

If the value of θ is 46.4°. Then the value of the cosine of θ will be 20/29.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The value of sine of θ is 21/29.

Then the value of θ will be

sin θ = 21/29

     θ = sin⁻¹(21 / 29)

     θ = 46.4°

Then the value of the cosine of θ will be

cos θ = cos 46.4°

cos θ = 20/29

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Answer:

$17131.50

Step-by-step explanation:

23500 decrease 10% =

23500 × (1 - 10%) = 23500 × (1 - 0.1) = 21150

21150 decrease 10% =

21150 × (1 - 10%) = 21150 × (1 - 0.1) = 19035

19035 decrease 10% =

19035 × (1 - 10%) = 19035 × (1 - 0.1) = 17131.5

The correct answer is option C which is x = y.

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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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = 23 [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 5x - x - 8 = 15 + 3x[/tex]

[tex]\qquad \tt \rightarrow \: 4x - 8 = 15 + 3x[/tex]

[tex]\qquad \tt \rightarrow \: 4x - 3x = 15 + 8[/tex]

[tex]\qquad \tt \rightarrow \: x = 23[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

x = 23

Explanation:

⇒ 5x - x - 8 = 15 + 3x

collect like terms

⇒ 5x - x - 3x = 15 + 8

add or subtract like terms

⇒ x = 23

Checking:

5(23) - 23 - 8 = 15 + 3(23)

115 - 23 - 8 = 15 + 69

84 = 84

Answer:

25 < t < 350

Step-by-step explanation:

The mean lifetime of a bulb ranges from 25 to 350 hrs but the question is unclear.

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

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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The question is incomplete. Below you will find the missing content.

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.

The correct option will be Option C: x=5t-3

y=4t-5

z=t

where t is the real number.

A matrix is in row echelon form when the first non-zero number from the left i.e. leading coefficient is always to right of the first non-zero number in the row above and rows consisting of all zeros are at bottom of the matrix.

The row echelon form of the matrix is given in the question.

from row-echelon form of the matrix, we can write the equation as,

x-5z=-3

y-4z=-5

Let's assume z=t, where t is the real number

now we can find x and y by putting z=t in the equation

x-5t=-3

⇒x=-3+5t

y-4t=-5

y=-5+4t

Now we get the solution of x,y,z in terms of t

x=5t-3

y=4t-5

z=t

where t is the real number.

So the correct option will be Option C: x=5t-3

y=4t-5

z=t

where t is the real number.

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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.

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.

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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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

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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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)

The sum of the interior angle is 1080 and each angle measure is 135 degrees.

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

We have an octagon

In an octagon the number of sides = 8

The sum of the angles in the octagon is given by:

= (n - 2)×180

n = 8

= (8 - 2)180

= 6×180

The sum of the interior angle = 1080

Each angle = 1080/8 = 135 degree

Thus, the sum of the interior angle is 1080 and each angle measure is 135 degrees.

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Answer:

66m

Step-by-step explanation:

Answer:

66 m

Step-by-step explanation:

ok so if you think about it, when she runs diagonal she's creating a triangle where she is running along the hypotenuse. we can now use the Pythagorean Theorem a^2 + b^2 = c^2 to solve for the other side with two of them being known.

plug values in

100^2 + w^2 = 120^2

square known values

10,000 = w^2 = 14,400

subtract 10,000 from both sides

w^2 = 4400

take the square root

w = 66 (rounded to the nearest whole number)

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.

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 first function represents the graph of a function provided in the picture option first is correct.

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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Answer:

parallel

a quadrilateral can be a parallelogram only and only if pair of opposite sides are equal and parallel.

perimeter of octagon

Now area

Area of square

Area of shaded region

Answer:

C.  647 square units

Step-by-step explanation:

To find the shaded area, subtract the area of the unshaded square from the area of the octagon.

Area of the octagon

[tex]\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}[/tex]

where:

Given:

Substitute the given values into the formula and solve for A:

[tex]\implies \textsf{Area}=\sf \dfrac{8 \cdot 13 \cdot 15.69}{2}[/tex]

[tex]\implies \textsf{Area}=\sf \dfrac{1631.76}{2}[/tex]

[tex]\implies \textsf{Area}=\sf 815.88\:\:square \:units[/tex]

Area of the square

[tex]\implies \textsf{Area}=\sf 13^2=169 \:\:square \:units[/tex]

Area of the shaded region

= area of the octagon - area of the square

= 815.88 - 169

= 646.88

= 647 square units (nearest square unit)

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

Answer:

60

Step-by-step explanation:

2hrs = 120

120/30= 4

4×15=60

Answer:

60 pages :)

Step-by-step explanation:

First we turn the hours into minutes to make it easier :)

1 hr = 60 minutes

2 hrs = 120 minutes

Now that we have done that, we divide :)

120/30 =4

And now we multiply 1 more time :)

4 x 15 = 60

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