What is the measure of ∠x

Answer: 58

Step-by-step explanation:

The sum of the two digit number is 13. On reversing its digits the new number is 27 more than the original number find the number?

Let's set up a system with two variables: x = tens place of our answer, y = units place of our answer.

Digit sum of a two digit number is 6:

x+y=13

Reverse the digits and you get 27 more than the original value:

10y+x=10x+y+27

Now let's solve:

y=13-x

10(13-x)+x=10x+(13-x)+27

130-10x+x=130x-10x + 27

130-9x=9x+40

-90=18x

x=5

y=13-5

y=8

So our original number was 58. Sum of digits is 13. Swap the order of the digits to make 85, and you have a number 27 more than the original number.

The value of original number is, 58.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The sum of digits in two-digit number is 13.

And, If the place values of the digits are reversed, the new number is 27 more than the original number.

Now, Let the one's place digit is y and the ten's place is x of the original number.

Then, We get;

⇒ x + y = 13  .. (i)

And, If the place values of the digits are reversed, the new number is 27 more than the original number.

So, We get;

⇒ 10y + x = 27 + 10x + y

⇒ 10y - y + x - 10x = 27

⇒ 9y - 9x = 27

⇒ y - x = 3

⇒ y = x + 3   ... (ii)

Substitute the value of y from (ii) in (i), we get;

⇒ x + y = 13

⇒ x + x + 3 = 13

⇒ 2x = 13 - 3

⇒ 2x= 10

⇒ x = 5

And, From (ii);

⇒ y = x + 3  

⇒ y = 5 + 3

⇒ y = 8

Thus, The original number is,

⇒ 10x + y = 10 × 5 + 8

               = 50 + 8

               = 58

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Answer:

If it is on the maximum, then the y-value of the point cannot be any higher and  still be on the graph of the function. If it is on the minimum, the the y-value of the point cannot be any lower and still be on the graph of the function. If it isn't either the maximum or the minimum, it is neither.

Answer:

The polynomial "4ab+9a" is a quadratic binomial

Step-by-step explanation:

It is quadratic because the degree of the term is 2. it is a binomial because it has 2 terms

Step-by-step explanation:

AD ≅ BC, Given

∠BCD ≅ ∠ADC, Given

CD ≅ CD, Reflexive property

ΔBCD ≅ ΔADC, SAS congruence

∠BDC ≅ ∠ACD, CPCTC

ΔECD is an isosceles triangle, definition of isosceles

DE ≅ CE, properties of isosceles triangles

Answer:

1024 pi

Step-by-step explanation:

r = 32 units.

Area = pi * r^2

Area = 3.14 * 32^2

Area = 1024 * pi

Tt = pi??

Answer:

see below

Step-by-step explanation:

Multiplication and division are also inverse operations

15 * 10 = 150

150 ÷10 = 15

Divide 150 by 10 and we get 15 back

The division undoes the multiplication

This also works in reverse

150 ÷ 10 = 15

15*10 =150

The multiplication undoes the division

Answer:

Step-by-step explanation:

5x² - 15x - 4 = 0

Add 4 to both sides.

5x² - 15x = 4

The coefficient of 5x² is 5, divide both sides by 5.

x² - 3x = 4/5

The coefficient of -3x is -3. Let b=-3.

Then we need to add (b/2)^2=9/4 to both sides to complete the square.

Add 9/4 to both sides.

x² - 3x + 9/4 = 61/20

Factor left side.

(x-3/2)² = 61/20

Take square root of both sides.

x-3/2 = ± √(61/20)

Add 3/2 to both sides.

x = 3/2 ± √(61/20)

Answer: B

Step-by-step explanation:

LJ should corresponds with RQ but it should correspond with PR.

Answer:

B

Segment LJ and Segment RQ

Step-by-step explanation:

look at the congruence statement

JKL≅PQR

as you can see, they do not correspond with one another

and all the other statements are pairs or congruent/corresponding parts

Answer:

1) [tex]7 \frac{11}{16} [/tex]

2) [tex] \frac{7}{15} [/tex]

Step-by-step explanation:

1) Let's convert the mixed fraction into a improper fraction.

[tex]5\frac{1}{8} \\ = \frac{5(8) + 1}{8} \\ = \frac{41}{8} [/tex]

Let the number be x.

[tex] \frac{2}{3} x = \frac{41}{8} \\ x = \frac{41}{8} \div \frac{2}{3} \\ x = \frac{41}{8} \times \frac{3}{2} \\ x = \frac{123}{6} \\ x = 7 \frac{11}{16} [/tex]

2)[tex]4 \frac{3}{8} = \frac{35}{8} [/tex]

[tex]9 \frac{3}{8} = \frac{75}{8} [/tex]

[tex]4 \frac{3}{8} \div 9 \frac{3}{8} \\ = \frac{35}{8} \div \frac{75}{8} \\ = \frac{35}{8} \times \frac{8}{75} \\ = \frac{7}{15} [/tex]

Hey there! :)

Answer:

5m - 2.

Step-by-step explanation:

We can use long division to divide the two expressions:

             5m - 2

5m - 2 | 25m² - 20m + 4

            25m² - 10m

           -

            0m² - 10m + 4

                    -10m  + 4

                  -

                      0

The quotient of this operation is 5m - 2.

Answer:

-125/462.

Step-by-step explanation:

5/22 + 3/7 + (-8/21) + (-6/11)

= 5/22 - 6/11 + 3/7 - 8/21        The LCM of 11 and 22 is 22 and of 7 & 21= 21:

= 5/22 - 12/22 + 9/21 - 8/21

= 1/21 - 7/22                              The LCM of 21 and 22 is 462:

= 22/462 - 147/462

= -125/462.

Answer:

Period: 2pi  vertical shift: 2 units up

Step-by-step explanation:

Answer:

D. period: 4pi; vertical shift: 2 units up

Step-by-step explanation:

Just did the test right now hope this helps some of yall :)

Answer:

The discriminant of a quadratic equation is a parameter that is used to determine the nature of the roots of the equation. The discriminant can be determined by b2- 4ac. In this case, upon substitution, 25- 4*2*7 = -31 in which the roots are negative and iimaginary. 

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Step-by-step explanation:

Answer:

The discriminant is -31.

Step-by-step explanation:

The discriminant of an equation is b^2 - 4ac. In this case, a = 2, b = -5, and c = 7.

(-5)^2 - (4 * 2 * 7) = 25 - (8 * 7) = 25 - 56 = -31. Because the discriminant is negative, it is less than 0. That means that there is no real solution.

Hope this helps!

Answer:

507x223 is greater than 530 x 200

914x385 is less than 900 x 400

Answer:

Step-by-step explanation:

Part A:

We have two lines: y = 2 - x and y = 4x + 3 . Given two equations that are both required to be true. The answer is the points where the lines cross, this means we have to make the equations equal to each other. It will look like this:

                                                       2 - x = 4x + 3

Part B:

In order to solve the equation we need to put the like terms together. So we will add x on each side.

                                                       2 - x = 4x + 3

                                                           +x   +x

So now we get:

                                                           2 = 5x + 3

Now that x is on one side and is positive we will move 3 on the left side by subtracting it from each side.

                                                           2 = 5x + 3

                                                           -3         -3

So now we get:

                                                           -1 = 5x

Now that the like terms have been combined we need to find out what x alone is so we divide 5 on each side:

                                                           [tex]\frac{-1}{5}[/tex] = [tex]\frac{5x}{5}[/tex]

No we see that:

                                                           x = [tex]-\frac{1}{5}[/tex]

Answer:

20100

Step-by-step explanation:

There are 200 numbers in this addition problem. To add this, we can do 1 + 200, 2 + 199, 3 + 198 and so on. All of these pairs have a sum of 201 and since there are 200 / 2 = 100 pairs the answer is 201 * 100 = 20100.

Answer: 206

Step-by-step explanation:

Answer:

b c d

Step-by-step explanation:

The statements b c d is true about the direct payments.

We have given that statement,

a: It can be easy to forget what gets paid each month and when and make sure you have enough money in your checking account to cover automatic payments

b: Banks make many mistakes while processing these types of withdrawals

c: It is convenient

d: Automatic payment plans can be set up in a matter of minutes. But stopping them can be much more difficult. Sometimes you have to notify your bank and your merchant, and you may even need to do it in writing.

e: It is very expensive to enroll in automatic bill payments.

f: Once you enroll in automatic bill payment, you have to authorize direct deposits to your account on regular basis.

Direct payments are local Health and Social Care (HSC) Trust payments for people who have been assessed as needing help from social services. And, who would like to arrange and pay for their own care and support service instead of receiving them directly from the local trust.

Therefore the statements b c d is true about the direct payments.

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Answer:

y=11x+6

Step-by-step explanation:

Simplify: 22x-2y=-12

22x-2y=-12

-22x

-2y=-22x=-12

/-2

y=11x-6

Answer:

A,C,and D are parralelograms

The parallelogram are shapes with figures having opposite sides which are parallel

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as ABCD

Now , from the figure 1

a)

The figure is having opposite sides are parallel

where AB = CD

And , BC = AD

So , it is a parallelogram

b)

The figure does not have any sides parallel

So , it is not a parallelogram

c)

The shape is having 2 sides as parallel

And , AB = CD

So , it is a parallelogram

d)

The shape is having 2 sides as parallel

And , AB = CD

So , it is a parallelogram

Hence , the parallelogram is solved

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Step-by-step explanation:

a, 3

b,

draw lines through the corresponding corners of each shape  These lines will cross at the centre of enlargement O

Answer:

D

Step-by-step explanation:

[tex]y=\frac{-9x-5}{-8}[/tex]

factoring out a negative[tex]y=\frac{9x+5}{8}[/tex]

Answer:

Option D is the correct option.

Step-by-step explanation:

Given that

9x - 8y = 0

finding y-intercept

put x = 0 , we get

9(0) - 8y + 5 = 0

Calculate the product

-8y + 5 = 0

Move the constant to L.H.S and change its sign

-8y = 0 - 5

Calculate the difference

-8y = -5

divide both sides of the equation by -8

-8y/-8 = -5/-8

Calculate

y = 5/8

Hope this helps...

Good luck on your assignment...

Answer:

22.467

Step-by-step explanation:

Hello,

You just have to do the computation in XL or using a calculator, and round each number to the nearest hundred

x sqrt(x)

1 1

2 1.414

3 1.732

4 2

5 2.236

6 2.449

7 2.646

8 2.828

9 3

10 3.162

and do the sum which is 22.467

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

300

Step-by-step explanation:

First let's square all the integers from 1 to 10 inclusive. We get:

1^2 = 1

2^2 = 4

3^2 = 9

4^2 = 16

5^2 = 25

6^2 = 36

7^2 = 49

8^2 = 64

9^2 = 81

10^2 = 100.

Rounding to the nearest hundred, we get that 1, 4, 9, 16, 36, and 49 all round to 0 and 64, 81, and 100 round to 100.

Therefore, we obtain 

0+0+0+0+0+0+0+100+100+100,

or 300.

Answer:

A

Step-by-step explanation:

Descending order is where the monomials of a polynomial are arranged in decreasing exponent order so the answer is A.

Answer:

the answer is option a because all the expression in option a is written descending power form.

Answer:

a = -50/51

Step-by-step explanation:

1 + 2a + 3 + 4a + 5 + 6a + ...... + 97 + 98a + 99 + 100a = 0

  1 +   3 +   5 + ...  + 99 +   2a +    4a + ... + 98a + 100a = 0     Eq. 1

99 + 97 + 95 + ... +    1  + 98a + 96a + ... +   4a  +    2a  = 0    Eq. 2

Add Eq. 1 and Eq. 2

100 + 100 + ... + 100 + 102a + 102a + ... 102a = 0

50(100)/2 + 50(102a)/2 = 0

2500 + 2550a = 0

2550a = -2500

a = -2500/2550

a = -250/255

a = -50/51

Answer:

Tin with open top = 7424 sq.cm.

Tin with a closed top = 8448 sq. cm.

Step-by-step explanation:

Assuming the tin is open at the top.

The outside surface area of the tin is not dependent on the level of cake mixture.

Base area = 32^2 sq. cm = 1024 sq.cm

4 sides faces, each of

side area = 32*50 = 1600 sq. cm.

Total surface area of tin (excluding top)

= base area + 4 side area

= 1024 + 4*1600 sq. cm

=7424 sq. cm.

If there is a cover and the area is to be included,

total surface area including cover

= base area + top area + side areas

= 1024 + 4*1600 + 1024 sq.cm

= 8448 sq. cm.

Answer:

144

Step-by-step explanation:

x = ((n-2)π / n) radians = (((n-2)/n) x 180° ) degrees

Step-by-step explanation:

The exterior angle of a regular n-sided polygon is given by

Exterior angle = 360/n  

The interior angle is therefore the supplement of the exterior angle,

Interior angle = 180 - 360/n

for n=10, decagon,

Interior angle of a decagon = 180 - 360/10 = 180-36 = 144 degrees

Answer:

One reusable bottle cost $8.12

Step-by-step explanation:

Let

x=total cost of the two reusable bottles

Ms stone has 5/8 if the total cost of the two reusable bottles

5/8 of x=$10.15

5/8*x=10.15

x=10.15÷5/8

=10.15×8/5

=81.2/5

=16.24

x=$16.24

The total cost of of the two reusable bottles=$16.24

If total cost of two reusable bottles=$16.24

Cost of one reusable bottle=$16.24/2

=$8.12

One reusable bottle cost $8.12

Answer:

y = 1

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = (4, - 3) and (x₂, y₂ ) = (- 8, 5), thus the y value of midpoint is

y = [tex]\frac{1}{2}[/tex] (- 3 + 5) = 0.5 × 2 = 1