Find out angle x.
(10points)

Answer:

Area of the square is 2916 [tex]m^{2}[/tex].

Step-by-step explanation:

Let the breadth of the rectangle be represented by w. So that;

length of rectangle = 5w

Area of rectangle = length x breadth

                             = 5w x w

1620 = 5[tex]w^{2}[/tex]

divide through by 5 to have,

[tex]w^{2}[/tex] = 324

w = [tex]\sqrt{324}[/tex]

   = 18

Thus, the breadth of the rectangle is 18 m.

length = 5 w = 5 x 18

           = 90 m

The length of the rectangle is 90 m.

Perimeter of the rectangle = 2(l + w)

                                  = 2( 90 + 18)

                                  = 216 m

Perimeter of a square = 4l

where l is the length of its side.

Given that the perimeters of the rectangle and square are equal, then;

4l = 216

l = [tex]\frac{216}{4}[/tex]

 = 54

length of the side of square is 54 m.

Therefore,

Area of square = [tex]l^{2}[/tex]

                         = [tex]54^{2}[/tex]

                        = 2916

Area of the square whose perimeter is equal to that of the rectangle is 2916 [tex]m^{2}[/tex].

Answer: 35/11 or 3 2/11

Step-by-step explanation:

[tex]4\frac{3}{8} /1\frac{3}{8}\\[/tex]

[tex]\frac{35}{8}/\frac{11}{8}\\[/tex]

[tex]\frac{35}{8} * \frac{8}{11}\\[/tex]

[tex]\frac{35}{11} =3\frac{2}{11}[/tex]

Answer:

[tex]4 \frac{3}{8} \div 1 \frac{3}{8} = \frac{35}{8} \div \frac{11}{8} = \frac{35}{8} \times \frac{8}{11} \\ = \frac{35}{11}= \boxed{3 \frac{2}{11}} [/tex]

Answer:

72

Step-by-step explanation:

Answer:

The measure of each interior angle of a regular decagon is 144. The measure of each interior angle of a regular nonagon is 140. Step-by-step explanation:

Sorry if am wrong.

Answer:

The answer is A

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

We know that when two lines intersect we get a pair of opposite angles.

According to the vertical angle theorem, if two angles are vertical then the measure of each angle will be the same i.e. the angles will be congruent.

Identifying angle types:

From the figure, it is clear that

The angle (9y+7)° and (2y+98)° are opposite angles.

Hence,

Determining the equation

As the vertical angles are congruent, so

(9y+7)° = (2y+98)°

Steps solving the equation

We know the equation of vertical angles (9y+7)° and (2y+98)° such as

(9y+7)° = (2y+98)°

solving for y

9y - 2y = 98 - 7

7y = 91

divide both sides by 7

7y/7 = 91/7

y = 13

Therefore, the value of y = 13

Answer:

5.74 so that would be the third option

Step-by-step explanation:

always remember to square root if not answer will be counted as incomplete or incorrect!

Answer:

1) response b

2) x=35 (response c)

3) response d

Step-by-step explanation:

1) The Pythagorean  theorem's "C" value is the value of your hypothenuse, which means that it would be c^2-b^2=a^2

You would set it up as "7^2-4^2", and then to get rid of the squared value, you would have to square root it

2) In this question, you're finding the hypothenuse, therefore the two values given are your "a" and "b" values.

                                                 [tex]\sqrt{21^{2} +28^{2} } =x[/tex]

                                                 [tex]\sqrt{441+784}=x[/tex]

                                                     [tex]\sqrt{1225} =x[/tex]

                                                        x=35

3) This is pretty much self explanatory if you know the C value is the hypotenuse

                                                      [tex]\sqrt{4^{2}+5^{2} }[/tex]

                                                      [tex]\sqrt{16+25}[/tex]

                                                          [tex]\sqrt{41}[/tex]

Answer:

In this equation, let "x" equal the rate at which the tub will be filled. The tub holds 32 gallons, which will be one half of the equation. The tub already contains 12 gallons, so this will be half of the other side of the equation. The rate is "x" gallons per minute, and the time it required was 5 minutes, so this would be "5x". Placing all these parts together gives an equation of (32 = 5x + 12) gallons per minute dispensed.

Answer:

6 baskets

Step-by-step explanation:

The mode of a set of a data is the value which appears the most often. Here, we can see from the line plot that 6 shows more than any other value.

Answer:

i think it 77 hope this helps

The total distance of the outer sides of a closed figure is known as the perimeter. It is the total length of all sides of a polygon. The unit of the perimeter of any polygon will remain the same as the unit of its respective sides.

Answer:

To find the perimeter of a regular polygon, we take the length of each side, and multiply it by the number of sides.

hope it helps

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Answer:

$38.50

Step-by-step explanation:

$700 times 0.055= 38.50

Answer:

Domain:

{−4,10,−8}

Range:

{4,2,−6,−9}

Step-by-step explanation:

(The "Domain" is the set of all the values of x.) (The "Range" is the set of all the values of y.)

If you look at the X- values and then look at the Y-Values. That how you find Domain & Range in Math.

Answer:

19

Step-by-step explanation:

the side is same as 57

what times 3 is 57?

57/3 is 19

AB is 19

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Answer:

A. y=sec(x-4)

Step-by-step explanation:

Answer:

Your hypothalamus and autonomic nervous system continuously adjust a number of complex activities in your body so your body temperature is typically near your normal. When you get hot, your hypothalamus and nervous system prompts the sweat glands to do their work.

Answer:

2361

Step-by-step explanation:

Answer:

800ml

Step-by-step explanation:

Convert 1/2L to ml.

One liter is 1,000 millimeters.

1000 * 1/2 = 500

1/2L is 50 ml.

Out of the given options, 800 ml is the biggest number. This means that 800 ml is the largest quantity.

Hope this helps.

Answer:

[tex]\huge\boxed{\sf x = 37}[/tex]

Step-by-step explanation:

We know that,

The sum of interior angles of a triangle is 180 degrees.

So,

2x + 4 + 2x - 9 + x = 180

5x - 5 = 180

Add 5 to both sides

5x = 180 + 5

5x = 185

Divide both sides by 5

x = 185 / 5

x = 37

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

[tex] \underline{\boxed{ x=50}}[/tex]

Step-by-step explanation:

[tex]164 = x + 114 \\ x = 164 - 114 \\ x =50[/tex]

Answer:

x will equal 72

I used a calculator

Answer:

b = 2a + c

Step-by-step explanation:

Given

a = [tex]\frac{1}{2}[/tex] (b - c)

Multiply both sides by 2 to clear the fraction

2a = b - c ( add c to both sides )

2a + c = b

After the rearrangement, the equation as b the subject b = 2a + c.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given that the equation;

a = 1/2 ( b - c)

Rearranging the equation;

a =  1/2 ( b - c)

Multiplying 1/2 to the the terms of brackets,

a = (b/2) - (c/2)

b/2 = a + (c/2)

Divide by 2 on both sides of the equation;

b = 2a + c

Therefore, the equation as b the subject b = 2a + c.

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Answer:

C

Step-by-step explanation:

A is incorrect because as x goes from 0 to 1, y jumped from 0 to 4

B is incorrect because as x goes up by 2, y at first goes up by 2 but then jumped to 4.

C is correct because as x goes up by 1, y goes up by 3

D is incorrect because y jumped from 0 to 10 and first but lowered to 5 after.

Answer:

20%

Step-by-step explanation:

3/15 x 100

= 100/5

= 20% Ans

Hope I made it in time

STEP - STEP EXPLANATION:

Trying to factor by splitting the middle term

Factoring 4x2-19x-5

The first term is, 4x2 its coefficient is 4 .

The middle term is, -19x its coefficient is -19 .

The last term, "the constant", is -5

Step-1 : Multiply the coefficient of the first term by the constant 4 • -5 = -20

Step-2 : Find two factors of -20 whose sum equals the coefficient of the middle term, which is -19 .

-20 + 1 = -19 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and 1

4x2 - 20x + 1x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

4x • (x-5)

Add up the last 2 terms, pulling out common factors :

1 • (x-5)

Step-5 : Add up the four terms of step 4 :

(4x+1) • (x-5)

Which is the desired factorization

Equation at the end of step

2

:

(x - 5) • (4x + 1) = 0

STEP

3

:

Theory - Roots of a product

3.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

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Answer:

x=-2

Step-by-step explanation:

To find the value of x you will have to isolate the x.

6x-3=5x-5 ------> Add 3 to both sides to get rid of the 3

6x=5x-2 ------> Subtract 5x to both sides to get rid of the 5x

1x=-2

1x is the same as x so

x=-2

Answer:

a. 7:15

b. 8:7

Step-by-step explanation:

there are 7 used books and 8 new books, thus, there are 15 books on a shelf.

(a) The ratio of used books to all books on the shelf is [tex]\dfrac{7}{15}[/tex].

(b)The ratio of new books to used books is  [tex]\dfrac{8}{7}[/tex].

Given that:

Total number of books = 15

Total number of  new books = 8

Total number of used books= 15-8

                                              = 7

(a) The ratio of used books to all books on the shelf is calculated as:

  Ratio = [tex]\dfrac{ Used \ books}{ Total \ books}[/tex]

           = [tex]\dfrac{7}{15}[/tex]

(b)  The ratio of new books to used books is calculated as:

    Ratio = [tex]\dfrac{ New \ books}{ Used \ books}[/tex]

             = [tex]\dfrac{8}{7}[/tex]

Thus, the ratio of used books to all books on the shelf is  [tex]\dfrac{7}{15}[/tex]  and the ratio of new books to used books is [tex]\dfrac{8}{7}[/tex].

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Answer:

it will be 5.5 hours have a nice day