In the diagram below AB is parallel to CD. what is the value of y

Answer:

The answer is 22 2/3

Step-by-step explanation:

The missing reasons in the prof are:

1. Given

2. Vertical angles are congruent

3. Substitution

4. Subtraction

5. Addition

6. Division

According to the vertical angles theorem, if two angles are vertical angles, then they would be congruent to each other.

The following are the missing reasons in the given proof;

1. <PAR and <TAS are vertical angles [given]

2. <PAR ≅ <TAS [vertical angles are congruent]

3. 3x + 14 = 50 - x [substitution]

4. 3x = 36 - x [subtraction]

5. 4x = 36 [addition]

6. x = 9 [division]

Therefore, the missing reasons in the prof are:

1. Given

2. Vertical angles are congruent

3. Substitution

4. Subtraction

5. Addition

6. Division

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Answer:

1.h=7; 2. A=78.5; 3. h=3; 4. h=8; 5. I=5.

Step-by-step explanation:

1. A = bh for h, if b = 4 and A = 28

So 28=4h then we divided both side by 4 to get the value of h , h=7.

2. A = πr2 for A, if r = 5.

So A=3.14×25=78.5.

3. A = bh for h if b = 15 and A = 45. h=?

So 45=15h then we divided both side by 15 to get the value of h , h=3.

4. A = bh for h if b = 10 and A = 80. h=?

So 80=10h then we divided both side by 10 to get the value of h , h=8.

5.P = 2l + 2w for l if w = 4 and P = 18. l=?

So 18=2I + 2(4) =18-8=2I 10=2l then to get the value of I divided both side by 2, I=5.

Answer: 17+3x

Step-by-step explanation:

7(3 + x) - 4(x + 1)=

21+7*x-4x+(-4*1)=     ==> Distribution Property

21+7x-4x+(-4)=

21+3x-4=

21-4+3x=17+3x

Answer: 17 yards

Step-by-step explanation:

well first you do $30 - $27.62 and you get $2.38 then you take the decimal out then divide it like this 238/14 you get 17 and that is how many yards you have !!! Hope that helps!!

Answer: Answe about what ??

Step-by-step explanation:

you didnt put in a any question

=========================================================

Explanation:

A = (4,5) is one endpoint

B = (-1, 4) is the midpoint

C = (x,y) is the other endpoint

For now, focus on the x coordinates of each point

A and C have x coordinates of 4 and x respectively

Add them up and divide in half. Set this equal to the x coordinate of B

(4+x)/2 = -1

4+x = 2*(-1)

4+x = -2

x = -2-4

x = -6 which is the x coordinate of point C

Repeat this same idea for the y coordinates

(5+y)/2 = 4

5+y = 2*4

5+y = 8

y = 8-5

y = 3 which is the y coordinate of point C

Therefore, point C is located at (-6, 3)

--------------------------

To verify the answer, you can use the distance formula to calculate the following segment lengths: AB and BC

You should find that AB = BC. This is because the midpoint splits segment AC into two smaller equal pieces.

Another way to verify the answer is to use the midpoint formula on points A(4,5) and C(-6,3). The result of using this formula should be B(-1,4) mentioned earlier.

If the distance,d, traveled by a particle is directly proportional to the square of the time,t, taken, when t = 40, d = 30, then the formula for d in terms of t will be d = 0.01875(t²).

Proportionality can be described as the property of being in a proper correlation in terms of size or quantity. In this problem, the distance is directly proportional to the square of the time which means that the distance increases as the square of the time is increased and vice versa.

Therefore,

d ∝ t²

d = kt² ( when t = 40 and d = 30 )

Here k is the constant

The value of k can be found by rearranging the equation,

d = kt²

30 = k(40²)

30 = k(1600)

k = 30 / 1600

k = 0.01875

As k = 0.01875, the formula for d in terms of t can be given as,

d = kt²

d = 0.01875(t²)

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Answer: Mean = 158 - Median = 158 - Mode = 130

Answer: (a) mean is $158  (b) median is $150  (c) mode is $130

Step-by-step explanation:

Arrange the series:

130  130  130  130  150  150  155  175  190  240

[tex]\displaystyle\\Mean=\frac{130*4+150+2+155+175+190+240}{10} \\\\Mean=\frac{1580}{10} \\\\Mean=158\\\\Median=\frac{150+150}{2} \\\\Median=\frac{300}{2} \\\\Median=150\\\\Mode=130[/tex]

Answer: 20 years old

Step-by-step explanation:

L=Latisha's age. M=Maisha's age.

O=older sister's age. Y=Younger Brother's age

L=M since both Latisha and Maisha are twins.

Y=L-11

O=L+4

L+M+O+Y=73

L+L+L+4+L-11=73

L+L+L+L+4-11=73

4L-7=73

4L=80

L=20 years old

The answer of the given question will be - [tex]ln |n| + c = e^{8+t} t - e^{8+t} - t + c[/tex]

In mathematics, integration is a technique for combining or adding the parts to arrive at the total. It is a form of differentiation in reverse where we break down functions into their component elements. This technique is employed to determine the summation on a sizable scale.

We are given the equation as -

[tex]\int\limits^_ {}[/tex]dn/dt + n = [tex]\int\limits^_ {}[/tex][tex]nte^{t+8}[/tex]

⇒ dn/dt = [tex]nte^{t+8} - n[/tex]

[tex]dn/dt = n(te^{t+8} - 1)\\dn/n = (te^{t+8} - 1)dt[/tex]

Integrating on both sides,

⇒ ln |n| + c =[tex]\int\limits^[/tex][tex]nte^{t+8} - n[/tex]

⇒ ln |n| + c = [tex]e^{8+t} t - e^{8+t} - t + c[/tex]

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Joshua has $4.5 left in the game card.

Joshua purchased a game card for $18

He played two basketball games for $3.25 each

= 2 × 3.25

= 6.5

He played four rounds of air hockey for $1.75

= 1.75 × 4

= 7

The first step is to calculate the total money spent on games

= 7 + 6.5

= 13.5

The amount left in the game card can be calculated as follows

= 18 - 13.5

= 4.5

Hence $4.5 is left in the game card.

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Answer:9

Step-by-step explanation:

Answer: c= 360/n

Step-by-step explanation:

c=k/n, for c=60 and n=6 so equation would be 360/n

Use a second order difference scheme while adhering to the finite difference procedure we discussed in lecture, the rewritten initial value is cos(t)+C.

The k initial differences of a sequence or a function are involved in a difference equation of order k, just as the k first derivatives of a function are related in a differential equation of order k.

The two aforementioned relationships enable the transformation of a recurrence relation of order k into a difference equation of order k and, in the other direction, a difference equation of order k into a recurrence relation of order k. Every transformation is the inverse of every other transformation, and the sequences that satisfy the recurrence relation are the exact ones that provide the solution to the difference equation.

Calculations:

syms y(t) z(t)

eqns = [diff(y,t)==z, diff(z,t)==-y];

[ySol(t),zSol(t)] = dsolve(eqns)

ySol(t) = C

cos(t)+C

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Answer:

All real numbers

Step-by-step explanation:

Domain means the valid x values.  If you graph this it is a horizontal line extending to negative infinity and positive infinity where y = 2.

Answer:

76%

Step-by-step explanation:

(number ÷ total number) x 100 = %

(532 ÷ 700) × 100 = 76%

1.) 532 ÷ 700 = 0.76

2.) 0.76 × 100 = 76

Answer:

Bars Express is less expensive and will save you one cent on shipping costs for 5 candy bars.

Step-by-step explanation:

Plug in 5 into the x values of both equations and see how much they both cost.

Uber Bars -> 3 + 1.59(5) = 10.95

Bars Express -> 0.99 + 1.99(5) = 10.94

Answer:

Step-by-step explanation:

8 + 8 = 16, so 8 x 2 = 16. :)

Answer:

16

Step-by-step explanation:

Add 8 + 8 = 16

This is 8 two times or 8 * 2

Answer:

x2,2x2y,xy2,-xy,xy,2xy

The total amount of gallons of gasoline expended by all the automobile drivers in the United States is 9 × (10)10 gallons. It is obtained using the basic concepts of word problems based on multiplication and division.

What are word problems?

Word problems are defined as mathematical problems that are completely expressed in the notation of words or language rather than numbers. Word problems can simply be based on addition, subtraction, multiplication, division, percentage, etc.

Calculation of the total amount of gasoline consumed in the US in units of gallon

According to the word problem, the total number of people in the US is  3 × (10)8

Number of people having cars = ½ × 3 × (10)8

                                               = 1.5 × (10)8

Each car drives an average of 12000 miles per hour, so the total distance travelled by one car is 12000 miles

The distance covered by all the cars = 1.5 × (10)8 × 12000

= 1.8 × (10)12 miles

20 miles is covered in 1 gallon of gasoline

1 mile is covered in 1/20 gallon of gasoline

So, 1.8 × (10)12 miles will be covered in 1.8 × (10)12 × (1/20)

= 9 × (10)10 gallons

Hence, the gallons of gasoline required is 9 × (10)10 gallons.

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Answer: Easy, T = VP/K

Step-by-step explanation:

1. Since you need to multiply P, making it VP = KT

2. Then, you need to divide the K, making it VP/K = T

3. So the first one is VP, the second one is K

Answer:

c

Step-by-step explanation:

Answer:

It's 25

Step-by-step explanation:

It's asking for distance between the two numbers

Answer:25

Step-by-step explanation:

Answer: =38x+16.                                                            

a_{\color{red}{8}}=(\color{blue}{3x-5}) + (\color{red}{8}-1)(\color{green}{5x+3})

a

8

​

=(3x−5)+(8−1)(5x+3)

a_{8}=3x-5+ 7(5x+3)

a

8

​

=3x−5+7(5x+3)

a_{8}=3x-5+35x+21

a

8

​

=3x−5+35x+21

Answer:

-0.4 or -2/5

:) hope this helped!

Answer:

I believe the answer is 943,158,670.349

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Given in the picture that [tex]D=b^{2} -4ac[/tex]. and the value of Quadratic equation is  [tex]b=\sqrt{65}[/tex].

(a) Express b in terms of a, c and D.

[tex]b=\sqrt{D-4ac}[/tex]

(b) Find the values of b when a=2, c=-2 and D=81.

[tex]b=\sqrt{65}[/tex]

By seeing the question we can say that the [tex]b^{2} -4ac[/tex] is in the quadratic formula.

We know the general Quadratic Equation is [tex]ax^{2}+bx+c=0[/tex].

The solution to find the root of the Quadratic Equation is Quadratic Formula: [tex]\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}[/tex].

The whole solution is depend on [tex]b^{2} -4ac[/tex]. The team is called discriminant.

(a) Given that,

[tex]D=b^{2} -4ac[/tex]

[tex]b^{2}=D +4ac\\[/tex]

Taking square root on both sides.

[tex]\sqrt{b^{2} } =\sqrt{D+4ac}\\ b=\sqrt{D+4ac}\\[/tex]

Therefore, [tex]b=\sqrt{D-4ac}[/tex]

(b) Given that,

a=2,c=-2 and D=81

[tex]b=\sqrt{D+4ac}\\[/tex]

[tex]b=\sqrt{81+4(2)(-2)}\\[/tex]

[tex]b=\sqrt{81-16}[/tex]

[tex]b=\sqrt{65}[/tex]

Therefore, [tex]b=\sqrt{65}[/tex]

A quadratic equation is a second-degree algebraic equation in x. In its usual form, the quadratic equation is a[tex]x^2[/tex] + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant factor. The first requirement for an equation to be a quadratic equation is that the coefficient of [tex]x^2[/tex] is not zero (a 0). When expressing a quadratic equation in standard form, the [tex]x^2[/tex]term comes first, then the x term, and finally the constant term.

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The true statements are f(-5) = -40,  f(0) = 3 and  f(3) = 0

Given the function;

f(a) = 3a – a2

For f(-5), we substitute the value of a as -5, we have

f(-5) = 3(-5) - (-5)²

f(-5) = -15 - 25

f(-5) = -40

For f(4), we have

f(4) = 3(4) = 3(16)

f(4) = 12 - 48

f(4) = -36

For f(-1), we have

f(-1) = 3(-1) - (-1)²

f(-1) = -3 - 1

f(-1) = -4

For f(0), we have

f(0) = 3(0) -(0)

f(0) = 0

For f(3), we have

f(3) = 3(3) - 3²

f(3) = 0

Thus, the true statements are f(-5) = -40,  f(0) = 3 and  f(3) = 0

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These set of figures: {(-4, 3), (5,-9), (11, 4), (9, 6), (5, -3), (8, -9), (1,4)} ) {(6, 0), (-12, -16), (-6, 10), (20,-7)} does not represent a function. Instead, it represents a set.

We are supposed to answer whether {(-4, 3), (5,-9), (11, 4), (9, 6), (5, -3), (8, -9), (1,4)} ) {(6, 0), (-12, -16), (-6, 10), (20,-7)} represents a function or not.

The answer is NO. This is not a representation of a function instead it is a representation of set.

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