1. Find the value of x in this figure.

A) 50
B) 60
C) 40
D) 30

Answer:

  a = 60, b = 19, c = 101, d = 79, e = 50

Step-by-step explanation:

Relations that are helpful here are ...

__

Using these relations, we can find the unknown measures.

 a° = 60° . . . . . these are vertical angles

  51° +b° +110° = 180°   ⇒   b° = 180° -161° = 19° . . . . straight angle

  a° +b° +c° = 180°

  c° = 180° -60° -19° = 101° . . . . sum of angles in a triangle

  d° = 180° -101° = 79° . . . . . straight angle

 e° = c° -51° = 50° . . . . . c° is exterior to the triangle

Answer:

12

Step-by-step eplanation:

Answer:

5.641 = x

Step-by-step explanation:

Work on the right triangle

pythag theorem

9^2 + L^2 = 10^2

L = sqrt 19

then x = 10 - sqrt 19 =5.641

Step-by-step explanation:

To cover a rectangular region of her yard, Penny needs at least 217 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region?

L=length=15.5 ft; W=width; A=area=>217 sq ft

L*W=>217 sq ft Divide each side by L

W=>217 sq ft/L

W=>217 sq ft/15.5 ft=>14 feet

ANSWER: To cover at least 217 sq ft. the width must be at least 14 feet.

Answer:

  at least 14 ft

Step-by-step explanation:

The area of the rectangular region is the product of its length and width. We are told the area must be at least some value.

  A = LW . . . . . . . . . area formula

  A ≥ 217 ft² . . . . . . . . . given constraint

  (15.5 ft)W ≥ 217 ft² . . . . . . substitute LW for A, use given length

  W ≥ 14 ft . . . . . . . . . . divide by 15.5 ft

The possible width of the region is at least 14 feet.

[tex]\tt 3(x+2)-9=15-4(5x-2)[/tex]

To solve this equation, let's apply the distributive property:-

Multiple 3 by ( x+2)/ Subtract 9 from 6 = -3/ and then use the distributive property to multiply −4 by (5x-2) :-

[tex]\tt 3x - 3=15 - 20x+8[/tex]

Add 15 and 8 = 23

[tex]\tt 3x - 3=23 - 20x[/tex]

Now, add 20x to both sides:-

[tex]\tt 3x - 3=23 - 20x[/tex]

Combine like terms:-

[tex]\tt 23x-3=23[/tex]

Add 3 to both sides:-

[tex]\tt 23x=23+3[/tex]

[tex] \tt 23x=26[/tex]

Divide both sides by 23:-

[tex]\tt \: x = \dfrac{26}{23} [/tex]

- :)

Answer:

the answer should be 2

Step-by-step explanation:

you have to divide the 18 balls by the 9 girls.

Answer:

6

Step-by-step explanation:

A) the value of the population proportion of people who would watch the new series is 5 out of 8 viewers, and B) a 99% confidence interval for the population proportion of people who would watch the new series indicates that between 61.87% and 63.13% of viewers will watch the new series.

Given that Netflix is considering a new romcom (romantic comedy) series, and a random sample of 1,000 viewers was selected and 625 viewers indicated they would watch the new series, for A) estimate the value of the population proportion of people who would watch the new series, and B) develop a 99% confidence interval for the population proportion of people who would watch the new series, the following calculations must be made:

A)

625 = 1

1000 = X

1000 / 625 = X

1.6 = X

10 out of 16, or 5 out of 8.

B)

62.5 x 0.99 = 61.875

62.5 x 1.01 = 63.125

Therefore, A) the value of the population proportion of people who would watch the new series is 5 out of 8 viewers, and B) a 99% confidence interval for the population proportion of people who would watch the new series indicates that between 61.87% and 63.13% of viewers will watch the new series.

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Answer:

39cm

Step-by-step explanation:

area of square = side^2 =169

side = 13cm

Perimeter of triangle = 3*side

=3 * 13 = 39cm

Answer:

52

Step-by-step explanation:

√169 =13

13*4= 52 because the perimeter of the square is equal to the perimeter of the triangle

Answer:

There is no answer

Because absolute value causes a positive answer and it is written here -13 !!!

it's impossible

The formula is a = (b1*b2)/2   .    

A parallelogram is a quadrilateral or a flat shape with opposite sides parallel. Squares, Rhombuses, and Rectangles are few example of Parallelogram.

Explanation:

There are six important properties of a parallelograms:

The answer to the above question is (D) Diagonals Congruent

Answer:

D

Step-by-step explanation:

Because these are the 7 properties of a parralelgrom

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.

Answer:

y = -3x -2

Step-by-step explanation:

Hi there!!

We're given that a line has a slope of -3 and it contains the point (1, -5)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope, we can immediately plug it into the equation.

Replace m with -3 in y=mx+b.

y = -3x + b

Now we need to find b

As the equation passes through the point (1, -5), we can use its values to help solve for b.

Substitute 1 as x and -5 as y:

-5 = -3(1) + b

Multiply

-5 = -3 + b

Add 3 to both sides

-2 = b

Substitute -2 as b into the equation

y = -3x - 2

Hope this helps!

Topic: finding the equation of a line

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Answer:

Ash has 58 flowers in total

Step-by-step explanation:

Given:

-  buys 5 bunches

- each bunch contains 10 flowers

- 8 more flowers from his yard.

5 bunches times 10 flowers plus the 8 more flowers from the garden

F = 10(5) + 8

F = 50 + 8

F = 58

Answer:

Ash has 58 flowers in all

Step-by-step explanation:

Y representing = bunches of flowers  

F representing =  the flower  

1. Y=10f      

2. Y=10f                    5 x 10 = 50

3. Y=10f                   50 + 8 = 58

4. Y=10f      

5. Y-10f                      

                         f = 58

The coordinate s (-4, 1) is lying on the 180 degrees of the vertex R.

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

There are four coordinates are given

P(-3,4), Q(-1,4), R(-2, 1), S(-4, 1)

Point S is just lying about 180 degree to the vertex R so the coordinates will be S ( -4,1)

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Answer:

5/(8+4+5) = 5/17

Step-by-step explanation:

total has (8 red +4 white+5 blue）= 17

we looking for blue , so is 5.

5/17

The balance after a year will be represented by an expression m + 0.071m.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The total amount will be calculated as:-

Total amount = Principle + interest rate x priciple

Total amount  = m  +   0.071m

Therefore the balance after a year will be represented by an expression m + 0.071m.

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Answer:

3v2 + 9v = 3v(v + 3)

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

        What is the complete factorization of 3v²+9v?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]

First we need to find the GCF of this polynomial; when we find it, we should factor it out, or divide all the terms by it.

Since the greatest common factor (GCF) of this polynomial is 3v, we divide both terms by 3v:-

3v(v+3)

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

Answer:

7 hours and 50 minutes.

Answer:

the answer is 10

Step-by-step explanation:

(8+4+14+16+8)/5

Answer:

[tex]29.4\ cm^3[/tex]

Step-by-step explanation:

b = 4 × 3.5 = 14 cm²

h = 2,1 cm

then

[tex]V=b\times h[/tex]

   [tex]=14\times2.1[/tex]

   [tex]=29.4\ cm^3[/tex]

Step-by-step explanation:

The length of the rectangle is 4cm and the width is 3.5cm

The area of the rectangle is A = lw

The base area is 4 x 3.5 or 14cm squared

The height is 2.1cm

Substitute 14 for B and 2.1 for h

V = Bh

V = (14)(2.1)

=29.4

Therefore the volume of the prism is 29.4 cubic centimetres

To solve this problem, we have to use combination which is a topic in statistics and it deals with the number of ways or arrangement in which and event can occur. the local dry cleaner can make them fill the roles in 210 ways.

In the given question, we have 10 candidates and 4 positions to be filled.

Data;

[tex]^1^0C_4 = 210[/tex]

From the calculation above, the local dry cleaner can make them fill the roles in 210 ways.

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Answer:

2.8

Step-by-step explanation:

To find the mean aboslute deviation, you first need to find the mean:

(4 + 6 + 7 + 10 + 13)/5 = 8

Then, subtract the mean from each value, and take the abosulte value. Absolute value is essentially the same number, but if it is negative, make it positive.

4 - 8 = -4 = 4

6 - 8 = -2 = 2

7 - 8 = -1 = 1

10 - 8 = 2 = 2

13 - 8 = 5 = 5

Then, take the mean of all of these values:

(4 + 2 + 1 + 2 + 5)/5 = 2.8

Step-by-step explanation:

a scale factor applies to every line, that means also to every side of the polygon.

the area of a polygon is always created out of the product (multiplication) of 2 dimensions (or sides).

while a perimeter is a pure sum of sides.

so the perimeter grows by the same factor as the sides : scale factor 3.

the perimeter of the larger polygon is therefore :

50 × 3 = 150 cm

and the area of the larger polygon ?

remember, that the area is always the product of 2 sides (or the sum of products of 2 sides).

and so, the scale factor enters these multiplications twice, and it gets therefore squared : 3×3 = 9.

so, the area of the larger polygon is then

42 × 9 = 378 cm²

Answer:

17.5

Step-by-step explanation:

Two points which lie on the line are : (0, 0) and (4, 70)

Constant of proportionality :

Answer:

Below in bold,

Step-by-step explanation:

The angles in a triangle add up to 180 degrees.

So the equation is:

7x + 8 + 4x + x + 4 = 180

12x + 12 = 180  <-------- Required equation

12x = 168

x = 14.

m< L = 14 + 4 = 18 degrees

m< M = 7(14) + 8 = 106 degrees

m< N = 4(14)= 56 degrees