Work out the size of angle x.

Answer:

Step-by-step explanation:

9.2  to  9.3    the top right one

Answer: 3x^2+2x-8

Step-by-step explanation:

Answer:

3xto the power of 2+2x -8

Answer:

D. 1.6 yd

Step-by-step explanation:

Use the law of sines.

[tex] \dfrac{c}{\sin C} = \dfrac{a}{\sin A} [/tex]

[tex] \dfrac{c}{\sin 28^\circ} = \dfrac{2~yd}{\sin 36^\circ} [/tex]

[tex] c = \dfrac{2~yd \times \sin 28^\circ}{\sin 36^\circ} [/tex]

[tex] c = 1.6~yd [/tex]

Answer:

(x+1)² = 7

Step-by-step explanation:

Given the expression

-2x = x² - 6

Rewrite

x² - 6 + 2x = 0

x²+2x-6 = 0

Add 6 to both sides

x²+2x-6+6 = 0+6

x²+2x = 6

Add square of half of coefficient of x to both sides

Coefficient of x = 2

Half of Coefficient of x = 2/2 = 1

Square of half of Coefficient of x = 1² = 1

Add 1 to both sides

x²+2x + 1= 6 + 1

Factorize the LHS

x²+x+x + 1 = 7

x(x+1)+1(x+1) = 7

(x+1)(x+1) = 7

(x+1)² = 7

hence the equation rewritten by completing the square method is

(x+1)² = 7

Answer:

see below

Step-by-step explanation:

Our equation is y = 1/2x - 1. This mirrors our standard linear parent function of y = mx + b.

m is the slope and b is the y-intercept.

From this, we can see that

m = 1/2

and

b = -1.

The first point given is the y-intercept because with y-intercepts, we know the coordinates right away. A y-intercept's coordinates will always have an x-value of 0. This allows it to lie on the y-axis, hence the name. Our y-value of the coordinates is given with the b value of the equation. Therefore, by simply looking at the end of the equation, we know our first point.

Hope this helps!

Answer:

a - yes

b - no

Step-by-step explanation:

triangle inequality theorem - the sum of any 2 sides of a triangle must be greater than the measure of the third side

For a

5 + 4 must be greater than 7 for the set to be measures of the sides in a triangle

5 + 4 = 9

9 is greater than 7 therefore 4,5, and 7 can be measures of the sides in a triangle

For b

3 + 2 must be greater than 6 in order for the set to be measures of the sides in a triangle

3 + 2 = 5

5 is less than 6 therefore 2,3 and 6 can not be measures of the sides in a triangle

Answer: I would say 6 its a function and 7 its not because in number seven the x value repeats so it can't be a function and number 6 the x-value its not the same

Step-by-step explanation: When the x-value repeats its not a function if the y-value repeats it doesn't matter

Answer:

Step-by-step explanation:

This is a parallelogram. It is a quadrilateral with two pairs of parallel sides. Here, the opposite angles are alternate, that is, they have togheter 180°.

Rhombus

This is a rhombus. It is a quadrilateral whose four sides all have the same length. Here, the diagonals of a rhombus intersect at equal angles.

A rhombus has opposite angles equal and the figure formed by joining the midpoints of the sides of a rhombus is a rectangle, and vice versa. It has an inscribed circle.

Good luck:)

Answer:

A. DEF=EDF

Step-by-step explanation:

Answer:

See the solutions below

Step-by-step explanation:

Initial Salary= $925

Final salary=  $1036

% increase= Change/initial *100

substitute

% increase= 1036-925/925 *100

% increase=111/925 *100

% increase=0.12 *100

% increase=12%

2. Let us find 16% of $925

=16/100*925

=0.16*925

=$148

Hence the salary would have been

=148+925

=$1073

Answer:

m a t h

Step-by-step explanation:

i am in middle school so i dont know

Answer:

The four angles of a quadrilateral sum to 360 degrees.

If A and B are right angles then (2x+1) + 148 equal 180 degrees.

Therefore angle A = 32 degrees.

Step-by-step explanation:

as fraction 21/16

decimal form- 1.3125

Mixed number- 1  5/16

Answer:

[i] 12x + 5 = 1/2(83 +95)

12x + 5 = 89

12x = 84

x = 7.

[ii] 9x + 7 = 1/2(198 + 7x - 8)

18x + 14 = 198 + 7x - 8

11x = 176

x = 16.

[iii] 15x - 8 = 1/2(16x +1 + 5x + 19)

30x16 21x + 20

9x = 36

x = 4.

[iv] 20x - 4 = 360 - 2 × 72

20x = 220

x=220/20=11°

[v] 13x - 1 = 2(6x + 11)

13x - 1 = 12x + 22

x = 23.

[vi] 46 = 1/2(21x-5-x-23)

20x2892

20x = 120

x = 6.

[vii] 6x - 21 = 1/2(13x - 3-3x - 11)

12x - 4210x - 14

2x = 28

x = 14.

[viii] 2x + 1 = 1/2(9x − 14 − 4x + 7)

4x + 2 = 5x - 7

x = 9.

[ix] 9x - 4 = 180 - 76

9x - 4 = 104

9x = 108

x = 12.

Answer:

10 and 2

Step-by-step explanation:

a + b = 12

a - b = 8

let 'a' = 8 + b

substitute:

8 + b + b = 12

2b + 8 = 12

2b = 4

b = 2

a must be 10 then

Answer:

40

Step-by-step explanation:

It is given that the measure of interior angle of a polygon is 171∘ . So, the correct answer is “ 40 ”.

Answer:

7 5/9

Step-by-step explanation:

340/45 = 7 5/9

Answer:

7.6 pages

Step-by-step explanation:

Okie, so this is a standard unit rate problem, so what you're going to do is divide the number of whatever, in this case, pages, by the time, so:

340 ÷ 45 = 7.6 (rounded)

So you read 7.5 pages per minute

(which is pretty impressive if it's a chapter book)

hope this helps:)

The question is incomplete. The complete question is :

A map of the Orchid Hill Neighborhood is shown. The population of Orchid Hill Neighborhood is 360 people. The length of each block is the same and the length of 20 blocks is 1 mile.

a). What is the area in square miles of Orchard Hill?

b). What is the population density of the Orchard Hill Neighborhood, given as a number of people per square mile?

Solution :

It is given that :

The total population of Orchid Hill Neighborhood is = 360

The length of 20 blocks = 1 mile

So, 20 blocks = 1 mile

       ∴ [tex]$1 \text{ block} = \frac{1}{20} \text{ mile} $[/tex]

                       = 0.05 mile

So the length of the neighborhood is = 4 x 0.05

                                                             = 0.20 mile

    The width of the neighborhood is = 3 x 0.05

                                                             = 0.15 mile

a). Therefore, the area of the Orchid Hill Neighborhood in square miles is

A = length x width

  = 0.20 x 0.15

  = 0.03 square miles

b). Population density is defined as the number of people living in an unit area.

i.e. [tex]$\frac{360}{0.03}$[/tex]

  = 12,000 people per square mile

Answer:

50-65 days

Step-by-step explanation:

50-65 days

Pickling cucumbers should be ready to harvest between 50-65 days from planting and can be picked over the course of a several weeks. Growing pickling cucumber plants is just like growing other types of cucumber. They prefer a soil pH of 5.5, well-drained soil, and lots of nitrogen.

Step-by-step explanation:

CCC and I have a very different view on the situation than the one I have been using for me since 6AM when you have been in the same situation for me and my

The equation that represents the total score points will be y = - (4/34)x + 49.58.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\\[/tex]

The two points are (107, 37) and (73, 41).

Let 'x' be the number of minutes and 'y' be the total score. Then the equation is given as,

(y - 41) = [(41 - 37) / (73 - 107)](x - 73)

y - 41 = - (4/34)(x - 73)

y = - (4/34)x + 49.58

The equation that represents the total score points will be y = - (4/34)x + 49.58.

More about the line passing through two points link is given below.

https://brainly.com/question/12740817

#SPJ3

If the vertex of a parabola is (0, -4). The equation of the axis of symmetry for this parabola is x = 0.

We first take out the coefficient of x squared, and then inside the bracket, we try to make a perfect square-like situation.

For parabolas, its axis of symmetry always goes through the vertex of the parabola.

In other words, the axis of symmetry is a vertical line that goes through the x-coordinate of the vertex.

Now, if the vertex of a parabola is (0, -4) which is at x = 0, y = -4.

Thus, the vertical line that goes through the coordinate of the vertex would be x = 0

Thus, the equation of the axis of symmetry for this parabola is x = 0.

Learn more about the vertex form of a quadratic equation here:

https://brainly.com/question/9912128

#SPJ2

Step-by-step explanation and Answer :)

So we can split this shape into a few easier shapes to solve the area!

There are multiple combinations:

rectangle, triangle, and another rectangle

rectangle, trapezium

The second option is faster so lets use that :)

[tex]187m^{2}[/tex]

You should draw a dotted line across the top of the rectangle so now there is a rectangle on the bottom and a trapezium on the top!

[tex]A_{square} = b * h\\A_{square} = 16 * 6\\A_{square} = 96m^{2} \\\\\\A_{trap} = \frac{(a + b)h}{2}\\[/tex]

[tex]A_{trap} = \frac{(10 + 16)7}{2}\\\\A_{trap} = \frac{(182)}{2}\\\\A_{trap} = 91 m^{2}[/tex]

96 + 91 = [tex]187m^{2}[/tex]

Hope this helps!

Please mark as brainliest (Press the crown) :0

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of areas,

we know that, area of rectangle = length * width,

here, length = x-2 and width = x-1

hence, area = (x-2) (x-1)

==> area = x^2 -x -2x +2

==> Area = x^2 - 3x + 2

hence the Option D.) is correct

Answer:

A the first one.

Step-by-step explanation:

The lowest common denominator is 120.

Convert 3/4: 90/120

Convert 4/5: 96/120

Convert 5/6: 100/120

Answer:

Step-by-step explanation:

Cylinder 1

Cylinder 2

Surface area of cylinders:

The difference is:

A cylinder has a radius of 4 inches and a height of 5 inches. If the radius of the cylinder is tripled and the height remains the same to create a new cylinder, what will be the difference in the surface areas of the two cylinders ? Answer in terms of Pi.

A cylinder has a radius of 4 inches and a height of 5 inches.

If the radius of the cylinder is tripled and the height remains the same to create a new cylinder, what will be the difference in the surface areas of the two cylinders ?

[tex] \bullet [/tex] Radius [tex] (r_1) [/tex] is 4 inches

[tex] \bullet [/tex] Height is 5 inches

[tex] \bullet [/tex] Radius [tex] (r_2) [/tex] is 3 × 4 = 12 inches [as in the question it is given that the radius of the cylinder is tripled]

[tex] \bullet [/tex] Height is 5 inches

Now,

Surface area [tex] (s_1) [/tex] of 1st cylinder

is 2πr(r + h) = 2π × 4(4 + 5)

= 8π(9)

Surface area [tex] (s_2) [/tex] of 2nd cylinder

is 2πr(r + h) = 2π × 12(12 + 5)

= 24π(17)

[tex] \therefore [/tex] The difference in the surface areas of the two cylinders is = [tex] (s_2 \: - \: s_1) [/tex] = (408π - 72π) = 336π sq inches