study questions from digital text book page 2.03 : Picture's down below
Question #1 : What is m∠SVT?

Question #2: What is the m∡BEC?









Disclaimer!! these are not from a Test, Quiz, or Assignment. these are from a practice page and i wanted to know how do these questions for a Future assignment with questions like these. I am just informing you guys because i didn't know the guidelines until now and i will no longer put test questions up because I am now aware its not ok to do so. So This Is not from a Test, Quiz, or Assignment. Thank you

Solution:

Remember the following formula :

P(AUB) = P(A)+P(B)-P(AnB)

According to the data of the problem and applying the previous equation, we obtain the following equality:

This is equivalent to:

solving for P(A n B), we get:

so that, we can conclude that the correct answer is:

To solve graphically this set of equations, we should first draw both lines and see the value of x at which the lines crosses

Both graphs can be drawn as follows

We can see that both graphs intersect at a negative value of x. With a more accurate graph, we can determine that both lines intersect at x=-2.

So the solution for this system of equation is x=-2.

Number of terms of sequence N

Difference D = -1

Then there are here

In negative part, 70 numbers

In positive x line, 40 numbers

And add also zero

Then, ANSWER IS

N= 70 + 40 + 1

. = 111

There are 111 numbers

Using completing the square method (x + 8)2 = +1 is the intermediary step in the equation (x + a)2 = b after the square is complete.

Get the intermediate step:

Divide the equation by 3 into both sides:

Adding 1 on both sides to complete the square:

Therefore, (x + 8)2 = +1 is the intermediary step in the equation (x + a)2 = b after the square is complete.

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We need to find the greatest common factor of

We will find the greatest common factor of 64 and 56, first

Since the factors of 64 are

Since the factors of 56 are

Then the common factors are 1, 2, 4, 8

The greatest is 8, then

The GCF of 64 and 56 is 8

The greatest common factor of the same variables is the least power

Then the GCF of a^8 and a^5 is a^5

The GCF of b^4 and b^8 is b^4

Then the greatest common factor of the given terms is

The value of x in the right triangle is 15√2.

A right triangle is a triangle that has one of its angles as 90 degrees.

The sides of a right triangle can be named base on the angle position. This includes hypotenuse side, opposite side and adjacent side.

Therefore, the side x of the right triangle can be found using trigonometric ratios as follows:

cos 45 = adjacent / hypotenuse

cos 45° = x / 30

cross multiply

30 cos 45° = x

Therefore,

x = 30 × 1 / √2

x =  30 / √2 × √2 / √2

x = 30√2 / 2

x = 15√2

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We have the next information

When he left the library he read 8/8-7/8= 1/8

then he read 1/10

after dinner, he read 2/5

First, we need to sum the fraction of the book he read

we need to have the same denominator in order to sum the fractions

the book complete represent 8/8 so we need to subtract 5/8 from the fraction of the complete book

the fraction of the book does he have left to read is 3/8

Answer:

1. [tex]a=\frac{b}{zm-1}[/tex] 2. [tex]x=\frac{p-n-m}{1-y}[/tex] 3. [tex]a=\frac{z}{m+n+p}[/tex]

Step-by-step explanation:

1. zma = a+b  :    [tex]z=\frac{a+b}{ma} ;[/tex] [tex]m\neq 0[/tex]

zma = a + b  Divide both sides by ma: [tex]m\neq 0[/tex]

[tex]\frac{zma}{ma} =\frac{a}{ma} +\frac{b}{ma} ;[/tex] [tex]m\neq 0[/tex]

2. Subtract m from both sides

x + m - m = p - n + yx - m

Simplify

x = p - n + yx - m

Subtract yx from both sides

x - yx = p - n + yx - m - yx

simplify

x - yx = p - n - m

Factor x - yx:      x(1 - y)

x(1 - y) = p - n - m

simplify x = [tex]\frac{p -n-m}{1-y} ;y\neq 1[/tex]

3.Apply the sum /Different Rule :   (f + g)' = f ' + g'

= [tex]\frac{d}{dp} (am)+\frac{d}{dp} (an)+\frac{d}{dp} (ap)[/tex]

[tex]\frac{d}{dp} (am)=0[/tex]

[tex]\frac{d}{dp} (an)=0[/tex]

[tex]\frac{d}{dp} (ap)=a[/tex]

= 0 + 0 + [tex]a[/tex]

simplify

= a

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From the given diagram, let's find the length of the park's boundary.

We can see the side of the park's boundary is a circular arc and the top and bottom are the bases of triangles.

To find the length of the circular sides, apply the length of arc formula:

Where:

Θ = 120 degrees

π = 3.14

radius, r = 50 yards

Hence, we have:

This means the length of one circular side of the boundary is 104.67 yards.

We have two circular sides of the boundary.

The top and bottom sides form equilateral traingles.

Hence, the length of the top and bottom sides are 50 yards each.

To find the total length of the boundary, we have:

Total length = 104.67 + 104.67 + 50 + 50 = 309.34 yards

Rounding off to the nearest yard, the length of the park's boundary is:

309 yards

ANSWER:

D. 309 yards

The equation is c = 31 + 0.13x and total cost on driving 180 miles is $54.4.

Firstly we will form the equation using one time charge and the product of number of miles and charge per mile. Then we will keep the value in equation to find the total cost.

Forming the equation -

c = 31 + 0.13x

Keep the value of x in formula for calculation of total cost.

c = 31 + 0.13×180

Performing multiplication on Right Hand Side of the equation

c = 31 + 23.4

Performing addition on Right Hand Side of the equation

c = $54.4

Thus, the equation for calculation of total cost is c = 31 + 0.13x and total cost is $54.4.

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The solution to the inequality given as 3 - x/2x + 1 ≥ 2 is (-oo, -1/2) u [1/5, oo]

The inequality expression is given as

3 - x/2x + 1 ≥ 2

Cross multiply in the above inequality

So, we have

3 - x ≥ 2(2x + 1)

Open the brackets in the inequality

So, we have

3 - x ≥ 4x + 2

Collect the like terms

4x + x ≤ 3 - 2

Evaluate the like terms

5x ≤ 1

Divide by 5

x ≤ 1/5

Because of the denominator 2x + 1, we have

x > -1/2

This means that the solution is (-oo, -1/2) u [1/5, oo]

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Answer:

18*19 BECAUSE 19 is a prime number and g has to be 1 since if g was anything else like 2 it wouldn't be the same for gh

(1) The graph is attached with the answer below.

(2)The equation of the line is y = x + 3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The points are ( 3, 0 ) and ( 0, 3). The slope of the line will be calculated as:-

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 3 - 0 ) ( 0 - 3 )

Slope = 1

Calculate the y-intercept,

y = mx + c

3 = 0 + c

c = 3

The equation of the line will be:-

y = x + 3

Therefore, the graph is attached with the answer below the equation of the line is y = x + 3.

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After simplification, 7h+(-9.1d)-13+6d-3.5h is 3.5h-3.1d-13.

According to the question,

We have the following expression:

7h+(-9.1d)-13+6d-3.5h

Now, we will simplify it by adding or subtracting the numbers or the numbers with the same variable together. For example, 3.5h can only be subtracted from 7h because both of them h as a variable. And 6d can be subtracted from 9.1d.

(More to know: when a positive and a negative number is multiplied then the result is always negative. In this case, we will multiply +1 into -9.1d.)

Now, let's simplify the given expression:

7h-3.5h-9.1d+6d-13

3.5h-3.1d-13

Hence, the expression obtained after solving the given expression is 3.5h-3.1d-13.

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Answer: You could assume that X=8 and y=0

Step-by-step explanation:

Answer:

Solutions below.

Step-by-step explanation:

This Question involves the concept of intercepts of a graph.

Intercepts of a graph are namely the x-intercept and y-intercept.

x-intercept is when y = 0. Example: (3,0)

y-intercept is when x = 0. Example: (0,9)

We are given the equation: x + 4y = 8

To find x-intercept, we can substitute y = 0 into the equation to obtain the value of x.

x + 4(0) = 8

x + 0 = 8

x = 8

Coordinates: (8, 0)

To fins y-intercept, we can substitute x = 0 into the equation to obtain the value of y.

0 + 4y = 8

4y = 8

y = 8 ÷ 4

y = 2

Coordinates: (0, 2)

Using complementary angles, the numerical value of the given expression is as follows:

2.

Complementary angles are angles whose sum of the measures is of 90º.

The relevance of complementary angles in the context of this problem is that if a and b are complementary angles, then the sine of one angle is the cosine of the other angle, as follows:

sin(a) = cos(b).

Considering the angles of 40º and 50º in this problem, we have that:

Hence these following simplifications are applied:

Then the numerical value of the expression is given as follows:

1/1 + sin²(40º) + cos²(40º) = 1 + 1 = 2.

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The coat has a total cost of  $533.644

From the question, the given parameters are:

Cost of a coat = $74.95

Sales tax in the city = 612%

Using the sales tax, the total cost for the coat is calculated using

Total cost of coat = Cost of a coat + Cost of a coat * Sales tax in the city

Substitute the known values in the above equation

So, we have the following equation

Total cost of coat = 74.95 + 74.95 * 612%

Evaluate the products

Total cost of coat = 74.95 + 458.694

Evaluate the sum

Total cost of coat = 533.644

Hence, the total cost of the coat is $533.644

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If segment BD is congruent to segment BC, and BD = 4x - 18, BC = x + 3, and AC = 34, then AB = 31/x.

Let the equation be AB + BC = AC

substitute the values in the above equation, we get

AB + x + 3 = 34

simplifying the value of x,

Subtract A B from both sides AB + x + 3 - AB = 34 - A B

x + 3 = 34 - AB

Subtract 3 from both sides,

x + 3 - 3 = 34 - AB - 3

x = -AB + 31

Plug in this value of x into the line segments to find BC and AC.

Where, BC = x + 3

substitute the value of x in the above equation, we get

BC = [-AB + 31 ] + 3

BC = -AB + 34

Then, AB + BC = AC

x = -AB + 31

AB = 31/x

Hence, If segment BD is congruent to segment BC, and BD = 4x - 18,

BC = x + 3, and AC = 34, then AB = 31/x.

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Answer:

  not similar

Step-by-step explanation:

You want to know if two isosceles triangles are similar, given that one has a base angle of 78°, and the other has an a.pex angle of 16°.

The base angles of the triangle with a.pex angle 16° will be ...

  (180° -16°)/2 = 82° . . . . . . not 78°

Two isosceles triangles will be similar if they have congruent base angles. These triangles do not, so they are not similar.

The measure of ∠E will be equal to 38°.

Given,

m∠BFE = 118° and m∠C = 86°

And BF bisects ∠ABD

From the Property of Linear Pair,

∠AFB + ∠BFE = 180°

=> ∠AFB + 118° = 180°

=> ∠AFB = 62°

Now, we can see that ∠AFB and ∠FBD are equal because they are alternate angles.

And ∠FBD and ∠ABF are equal because BF bisects ∠ABD.

So, In ∆ABF,

∠AFB + ∠ABF + ∠BAF = 180° (because of the angle sum property of a triangle)

=>62° + 62° + ∠BAF = 180°

=>∠BAF = 180° - 124°

=> ∠BAF = 56°

Similarly, in ∆ABE,

∠A +∠C  +∠E = 180°

=> 56° + 86° + ∠E = 180°

=> ∠E = 38°

Therefore, m∠E = 38°.

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Answer: C) 60

Step-by-step explanation: If you keep adding 12 the only number that I get on the list is 60.

⇒I will use the trig ratios to find the value x.

[tex]\frac{sin(x)}{11cm}=\frac{sin( 38)}{8} \\[/tex]

⇒Moving on solving I will use the cross multiplication

[tex]8sin(x)=11sin(38)\\sin(x)=\frac{11sin(38)}{8} \\x=sin^{-1} (\frac{11sin(38)}{8} )\\x=57,8[/tex]

∴ x=57,8°

Goodluck!!

Responder

y = x + 25

Explicación

El costo de pintar y, para pintar x pies cuadrados es $ 25 más $ 1.00 por pie cuadrado.

Entonces, si se van a pintar x pies cuadrados, la tarifa será

y = (1 × x) + 25

y = x + 25

¡¡¡Espero que esto ayude!!!

Answer:

B) 50

Step-by-step explanation:

its in tens place

hope this helps you!!!

Answer:

8500/10=850

value of digit 5=50

The proof of △AED is congruent to △BEC

What is congruency?

Two figures or objects are congruent in geometry if they have the same shape and size, or if one has the same shape and size as its mirror counterpart. In more technical terms, two sets of points are said to be congruent if and only if one of them can be changed into the other by an isometry, which is a combination of rigid movements such as translation, rotation, and reflection. This implies that one item may be relocated and reflected (but not scaled) to perfectly align with the other. So two separate plane figures on a piece of paper are congruent if they can be cut out and then entirely matched up. It is OK to flip the paper over.

Given, △ABC is congruent to △BAD.

and △AEB is common in both, so

△AED is congruent to △BEC (proved)

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These are the solutions of all the questions

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following function:

We solve the polynomial as follows:

Answer:

See attached worksheet.

Step-by-step explanation:

See attached worksheet for the table and graph.

I assume that "functation notation: simply means using x and y:  

  y = 2x + 3

The relationship between the number of T-shirts and cost is defined by y = 2t + 3, where:

y is the total cost,

x is the number of t-shirts,

the 2 is the cost for 1 t-shirt ($/t-shirt), and

3 is a one=time charge of $3 for each order.

The graph (attached) shows a straight line with a y-intercept of 3, the initial order fee.  It is linear since the cost of a t-shirt remains the same egardless of order size.

The given identity sin(x+ y) - sin (x- y) = 2 cos x sin y  has been verified

The identity is

sin(x+ y) - sin (x- y) = 2 cos x sin y

Here we have to use the trigonometric function

Consider the right hand side of the equation

We know

sin (x+ y) = sin x cos y + cos x sin y

sin (x-y) = sin x cos y - cos x sin y

Then

sin(x+ y) - sin (x- y) = sin x cos y + cos x sin y - (sin x cos y - cos x sin y)

= sin x cos y + cos x sin y - sin x cos y + cos x sin y

Eliminate the terms

= cos x sin y + cos x sin y

= 2 cos x sin y

Hence, the given identity sin(x+ y) - sin (x- y) = 2 cos x sin y  has been verified

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