I need to know the answer to the two question

The value of x in the lines is 126 degree

We are given that;

Three parallel line and one intersecting line

Angles= (x-6) and 60

Now,

By supplementary angles property

Angle 1 + Angle 2 = 180 degree

Substituting the values of angles

x-6 + 60 = 180

x + 54 = 180

x = 180-54

x = 126

Therefore by supplementary angles answer will be 126 degree.

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The first term of the expansion of (2x+5)^4 is 16x⁴

From the question, the expression is given as

(2x + 5)^4

The first term of the expansion can be calculated using

First term = 1 * (2x)ⁿ * (5)ⁿ-ⁿ

The values of the variables are

n = 4 --- the exponent

Substitute the known values in the above equation

So, we have the following equation

First term = 1 * (2x)⁴ * (5)⁴⁻⁴

Evaluate

First term = 1 * (2x)⁴ * (5)⁰

Evaluate the product

First term = 16x⁴

Hence, the first term is 16x⁴ and none of the options is correct

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Answer:

64 times

Step-by-step explanation:

Multiply 0.4, the chance of getting tails, which 160, the amount of times you flip the coin, and you get 64. This is reasonable, because the probability of getting heads is 0.6, and if you flip the coin 160 times, you will get heads 96 times. Hope this helped :)

Answer:

7.391

Step-by-step explanation:

Find 10% of 8.19

8.19*10%

8.19 *.10

.819

Subtract this from 8.19

8.19-.819

7.391

Answer:

volume = 91 cm²

perimeter = 41.1 in

Step-by-step explanation:

volume = 1/2(b1+b2)(h) = 1/2(11 + 15)(7) = 91 cm²

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:

(13 + y) / 5

Step-by-step explanation:

Grandma Gertrude gave 13 pieces and Grandma Fien gave y pieces. The total number of pieces of jewelry can be expressed as 13 + y.

The total of 13 + y is divided among 5 Carlson sisters. This can be expressed by (13 + y) / 5.

Hope this helps!

Answer:

I believe the answer is 25/55 Because:

Step-by-step explanation:

Add all of the marbles, which will be 55, Put 25 over 55 and BOOM! There's your answer! You can thank me later :)

Answer:

None

Step-by-step explanation:

2a + 20/4

2a + 5

Best of Luck!

Answer:

2.0976637e+27 x+y+z x = x 80538738812075974, y = 80435758145817515, and z = 12602123297335631.

Step-by-step explanation: its right do the math this took me hours

Answer:

60 minutes

Step-by-step explanation:

3 hours = 180 minutes

180 - (50 + 40 + 30) = 180 - 120 = 60

Answer: 53.36

Step-by-step explanation:

The restrictions on the width is that it must be between 14.1 yards and 17.3 yards

From the question, we have the following parameters that can be used in our computation:

Area = between 240 yd² and 360 yd²

Also, we have

Length = 1.2 times the width

This means that

l = 1.2w

The area is then calculated as

Area = lw

So, we have

Area = 1.2w²

This means that

240 < 1.2w² < 360

Divide through by 1.2

200 < w² < 300

Take the square roots

14.14 < w < 17.32

Approximate

14.1 < w < 17.3

Hence, the width must be between 14.1 yards and 17.3 yards

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If he reads 8 books over 4 months it means that he reads 2 books per month. So, if we multiply this ratio by the 7 months we would find that he reads 14 books over 7 months.

The answer is 14 books.

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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Answer:

No, It is not proportional.

Step-by-step explanation:

If it was proportional, when you divide the ratio, it will be the same answer for the rest of them. When you divide 11 and 2 that is 5.5 and the answer would be 5.2 for dividing 26 and 5. So, to be proportional, when each ratio is reduced or divided, they would have to be the same number.

The equation of line H in fully simplified slope-intercept form is y = 15x + 10.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

First of all, we would find the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (40 - 10)/(2 - 0)

Slope (m) = 30/2

Slope (m) = 15.

At data point (0, 10) and a slope of 15, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 10 = 15(x - 0)

y = 15x + 10

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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The length of the side P is 15 cm. And the right option is C.

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

To calculate the length of side P we use Pythagoras theorem's formula

Pythagoras formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the right option is C 15 cm.

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a) Rachel's monthly payment for the $10,000 three-year loan with an APR of 7.25% is $309.92.

b) The total amount of the monthly payments is $11,157.12.

c) Rachel's finance charge for the loan is $1,157.12.

The finance charge is the interest and other fees paid for a loan or credit.

The finance charge is based on the annual percentage rate (APR).

The monthly payments, total monthly payments, and the finance charge can be determined using an online finance calculator as follows:

N (# of periods) = 36 months (3 years x 12)

I/Y (Interest per year) = 7.25%

PV (Present Value) = $10,000

FV (Future Value) = $0

Results:

Monthly Payment (PMT) = $309.92

Sum of all periodic payments = $11,157.12 ($309.92 x 36)

Total Interest (finance charge) = $1,157.12

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Answer:

b ≥  -(37/76)

Step-by-step explanation:

x=4

Step-by-step explanation:

4x=16y

x=16divide4

x=4

Answer:

y = 4x

Step-by-step explanation:

Take a pair of coordinates, like

(8,32) ; (4,16)

m = (Δy):(Δx)

   = (32-16) : (8 - 4) = 4

y = mx + c

  = 4x +c

Now substitute the values from one of the 2 coordinates' pair.

16 = 16 + c

c = 0

Therefore,

y = 4x

The speed is the distance covered by an object at a particular time. Rodrigo traveled 0.5 feet more per second than Skylar.

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

Speed = Distance Covered / Time taken

Given that Skylar traveled 65 feet in 5 seconds. Therefore, the speed at which Skylar traveled is,

Speed = Distance covered / Time taken

           = 65 feet / 5 seconds

           = 13 feet per second

Also, given that Rodrigo traveled 108 feet in 8 seconds. Therefore, the speed at which Rodrigo traveled is,

Speed = Distance covered / Time taken

           = 108 feet / 8 seconds

           = 13.5 feet per second sec

Since Rodrigo traveled 13.5 feet in a second while Skylar traveled 13 feet in a second. Therefore, Rodrigo traveled 0.5 feet more per second than Skylar.

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The expressions that are equivalent to the expression 8x + 32y are:

4(4 ⁢x + 8y) − 2⁢(4x)

8(x + 4y)

Equivalent expressions are expressions that work the same even though they look different.

If two algebraic expressions are equivalent, then the two expressions have the same value when we substitute the same value(s) for the variable(s).

Let's simply the options to see if they are equivalent to the expression 8x + 32y:

4(4 ⁢x + 8y) − 2⁢(4x)   = 16x + 32y - 8x

                               = 8x + 32y

8(x + 4y)  = 8x  + 32y

(2x + 12y) + (6x + 18y) = 2x + 6x + 12y + 18y

                                   = 8x + 30y

Therefore, only 4(4 ⁢x + 8y) − 2⁢(4x) and 8(x + 4y)  are equivalent to the expression below.

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Complete Question

Which of the following expressions are equivalent to the expression below?

8x + 32y

4(4 ⁢x + 8y) − 2⁢(4x)

8(x + 4y)

(2x + 12y) + (6x + 18y)

Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

For eliminate a variables we need addition method or elimination method.

In an equation or formula, a variable is a symbol or letter that stands in for an unknowable or varying quantity or value.

We can multiply the second equation by -2, so that the coefficient of x in both equations will be the same but with opposite signs:

⇒ 4x - 9y = 8

⇒ -4x - 6y = -48

Add the two equations together: ⇒ -15y = -40

⇒ y = 8/3

Substitute this value of y back into either equation to solve for x.

⇒ 4x - 9(8/3) = 8

⇒ 4x - 24 = 8

⇒ x = 8

Therefore, the steps to eliminate a variable in this system using the addition method are to multiply the second equation by -2, add the two equations together to eliminate the x variable, solve for y, and then substitute that value back into either equation to solve for x.

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Answer:

Option A: For each increase of 1 gram in mass, A increases by approximately 0.3433 square centimeter.

Step-by-step explanation:

We are given the function;

A= 1321 + 0.3433m

To find the rate of increase of the area, we will find the derivative of the function. Thus;

dA/dm = 0.3433

This means that the area increases at the rate of 0.3433 Sq.metre for each additional 1 gram added to the mass.

Looking at the given options, the one that corresponds to our answer is Option A