Select the FALSE statement

A) Dilations either increase or decrease the lengths of line segments.

B) Dilations increase angle measures.

C) A dilated triangle is similar to the original triangle.

D) Dilations are a type of transformation

Answer:

$ 13.80

Step-by-step explanation:

Answer:

Hope this helps!

Step-by-step explanation:

Answer -Full amonut - $13.80. Tip amount - $1.80

First, convert the 15% to an actual number that can be used in a calculation. For percents, this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.

Second, you need to find out what 15% of your $12 meal cost is. This is always done by multiplying 0.15 by $12.00, or

0.15 x $12.00=$1.80.

So, the amount of tip you are going to leave is $1.80. full amount - 13.80

Answer:

I don’t know 160.

Step-by-step explanation:

20 plus 160 equals 180.

The correct answer is 20° since x and 20° are vertically opposite angles.

In other words, the value of x is equal to 20°.

Vertically opposite angles are formed by the intersection of two lines. They are opposite each other and have equal measures. When two lines intersect, the vertically opposite angles are formed on the opposite sides of the intersection point. These angles are also known as vertical angles or opposite angles. The property of vertical angles states that their measures are equal. This means that if one angle measures x degrees, the other vertical angle will also measure x degrees. Vertically opposite angles are important in geometry and are often used to prove theorems and solve geometric problems.

Therefore, the correct answer is 20° since x and 20° are vertically opposite angles.In other words, the value of x is equal to 20°.

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Answer:

B. vertical asymptote: x = 1

horizontal asymptote: y = 0

Step-by-step explanation:

1) Vertical asymptotes of a function are determined by what input of x makes the denominator equal 0. So, let's set the denominator, [tex]x^3-1[/tex], equal to 0 and solve for x:

[tex]x^3-1= 0\\x^3 = 1\\\sqrt[3]{x^3} = \sqrt[3]{1} \\x = 1[/tex]

Thus, the vertical asymptote is x = 1.

2) If the degree of the polynomial in the denominator is greater than the one on the top, the horizontal asymptote is automatically y = 0. Thus, the horizontal asymptote is y = 0.

Answer:

B. x=1, y=0

Step-by-step explanation:

Vertical asymptote: denominator approximate 0

(x²+x-6)/(x³-1)   ---> ±∞           as x ---> 1

x³-1 = 0

x³ = 1

x = ∛1 = 1

Horizontal asymptote: If the degree of the numerator is less than the degree of the denominator, then the horizontal asymptote is always the x axis, i.e. the line y = 0

degree of the numerator: 2

degree of the denominator: 3

2<3

Horizontal asymptote: y = 0

Answer:(a)

Step-by-step explanation:

Answer:

n=22

Step-by-step explanation:

(x^4)(x^3)^6=x^n

x^4*x^18=x^n

since the bases are the same, then equate the powers.

4+18=n

n=22

Answer:

The answer is 180 degrees.

Step-by-step explanation:

The rotation that maps one side to an adjacent side is 360°/6 = 60°. This is the least rotation that plots the regular hexagon to the aforementioned. In the least whole number of these minimum rotations, such as three 60° rotations to make 180°, will retain the hexagon identical.

Please mark me brainliest and have a awesome day! :D

Answer:multiply

Step-by-step explanation: How volume works is you multiply width times height times width. In perimeter you do the same but since in perimeter the shape is 2d you only have to multiply the base times height..........

Answer:

Look at PDF that is attached

Step-by-step explanation:

Red= 4x-4y=20

Blue=  y=-5

Answer: 340.2

Step-by-step explanation:

Answer:

[tex]-9 \frac{27}{50}[/tex]

Step-by-step explanation:

Answer:

(0,3)

Step-by-step explanation:

the x intercept is where the line crosses x which is at (0,3)

Answer:

i think it's 0, 3 for the answer

Given:

The two shapes P and Q on a coordinate plan.

To find:

(a) The area of shape P.

(b) Mathematical name of quadrilateral Q.

Solution:

(a)

From the given figure, it is clear that shape P is a triangle.

Area of a triangle is

[tex]A=\dfrac{1}{2}\times Base\times Height[/tex]

Area of triangle P whose base is 4 and height is 6, is

[tex]A=\dfrac{1}{2}\times 4\times 6[/tex]

[tex]A=\dfrac{24}{2}[/tex]

[tex]A=12[/tex]

So, the area of shape P is 12 sq. units.

(b)

In quadrilateral Q, two pairs of congruent sides are adjacent to each other.

So, Q is a kite.

Therefore, the mathematical name of quadrilateral Q is kite.

Answer:

Step-by-step explanation:

Given:

The two shapes P and Q on a coordinate plan.

To find:

(a) The area of shape P.

(b) Mathematical name of quadrilateral Q.

Solution:

(a)

From the given figure, it is clear that shape P is a triangle.

Area of a triangle is

Area of triangle P whose base is 4 and height is 6, is

So, the area of shape P is 12 sq. units.

(b)

In quadrilateral Q, two pairs of congruent sides are adjacent to each other.

So, Q is a kite.

Therefore, the mathematical name of quadrilateral Q is kite.

Answer: -27.10

Step-by-step explanation:

$46.74+ $60.86= $107.6

$107.60 -$ 134.70 =-$27.10

Answer:

D. 5 tan ø

Step-by-step explanation:

[tex]5 \sin \phi \: \sec \phi \\ \\ = 5 \sin \phi \: \times \frac{1}{ \cos \phi} \\ \\ = 5 \frac{\sin \phi}{ \cos \phi} \\ \\ = 5 \tan \phi[/tex]

Answer:

Correct choice D.

Step-by-step explanation:

Trigonometric Identities

We need to recall some properties and definitions of the trigonometric functions.

[tex]\tan \theta=\frac{\sin\theta}{\cos\theta}[/tex]

[tex]\sec \theta=\frac{1}{\cos\theta}[/tex]

It's required to simplify the following expression:

[tex]5\sin\theta\sec\theta[/tex]

Substituting the identity for the secant:

[tex]\displaystyle 5\sin\theta\sec\theta=5\sin\theta.\frac{1}{\cos\theta}[/tex]

Operating:

[tex]\displaystyle 5\sin\theta\sec\theta=5\frac{\sin\theta}{\cos\theta}[/tex]

Now we use the definition of the tangent:

[tex]\displaystyle 5\sin\theta\sec\theta=5\tan\theta[/tex]

Correct choice D.

Our point is (-5, -4)

Now use point slope form to find the equation: (y - y1) = m(x - x1)

(y - y1) = m(x - x1)

(y - (-4)) =-4/5(x - (-5))

y + 4 = -4/5x +4

An equation in slope-intercept form of the line is y = -4/5x - 8. The correct option is B.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the slope −4/5 contains the point (−5,−4). The equation of the line is written as,

y = mx + c

-4 = -4/5 x - 5 + c

-4 = 4 + c

c = -8

The equation will be written as,

y = -4/5x - 8

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Answer:

They are the same

Step-by-step explanation:

The degree is basically all of the exponents added up. So:

A) 2+4 = 6

B) 2+3+1 = 6

(since x to the power of 1 is x)

So, they are the same

Answer:

x =+-1

Step-by-step explanation:

x^3+2x^2+x=x^3-x

(x^3-2x^2)-(x-2)=x(x^2-1)

x^2(x-2)-(x-2)=x(x^2-1)

(X^2-1)(x-2)=x(x^2-1)

(x+1)(x-1)(x-2)=x(x-1)(x+1)

(x+1)(x-1) ((x-2)-x)=0

-2(x+1)(x-1)=0

x =+-1

Answer:

1/3

Step-by-step explanation:

-4/15+3/5

-4/15+3×3/5×3

-4/15+9/15

-4+9/15

5/15

1/3

Hope this helps!

Answer:

1/3

Step-by-step explanation:

-4/15+3/5

-4/15+3×3/5×3

-4/15+9/15

-4+9/15

5/15

1/3

Answer:

12n

Step-by-step explanation:

just have to cross multiply and then divides thats all

Answer:

c = 196

Step-by-step explanation:

To obtain a perfect square trinomial

Add ( half the coefficient of the x- term )² to x² + 28x

x² + 2(14)x + (14)², that is

x² + 28x + 196

= (x + 14)² ← a perfect square

Answer:

c = 196

Step-by-step explanation:

28 /2 = 14

14 x 14 = 196

formula =( b/2) x 2

Answer:

work it out backwards

264/2 = 132

132 X 100 / 6 = 2200

$2200

Answer:

-8 stars

Step-by-step explanation:

if she gets 2 stars for scoring a goal and losses 2 for missing one then if she gets 8 goals = 16 stars and misses 12 goals = - 24 stars so 16-(-24) = -8 stars

Answer:

-8

Step-by-step explanation:

She scores 8 goals so she has 16 stars. but then she misses 12 goals so she loses 24. 16-24 is -8

Answer:

[tex]\frac{x+9}{x+3}[/tex] , x ≠ - 3 ;

Step-by-step explanation:

f(x) = x³ + 9x² - 25x - 225 = (x + 9)(x + 5)(x - 5)

g(x) = x³ + 3x² - 25x - 75 = (x + 5)(x + 3)(x - 5)

( [tex]\frac{f}{g}[/tex] )(x) = [tex]\frac{(x+9)(x+5)(x-5)}{(x +5)(x+3)(x-5)}[/tex] = [tex]\frac{x+9}{x+3}[/tex] , x ≠ - 3

Answer:

is there anymore info in it

Step-by-step explanation:

Step-by-step explanation:

We are finding a polynomial of degree 3.

Since 4 and 5i are the zeroes of the polynomial,

the conjugate -5i must also be such a zero.

=> f(x) = a(x - 4)(x - 5i)(x + 5i)

=> f(x) = a(x - 4)(x² - 25i²)

=> f(x) = a(x - 4)(x² + 25)

When x = 1, f(1) = -234.

=> a(1 - 4)(1² + 25) = -234

=> a(-3)(-26) = -234

=> -78a = -234

=> a = 3

Hence,

f(x) = 3(x - 4)(x² + 25) = 3x³ - 12x² + 75x - 300.

Answer:

Surface area of rectangular prism = 1550m²

Surface area of triangular prism = 498m²

Step-by-step explanation:

The surface area of a rectangular prism is given by the formula

A= 2(wl+hl+hw)

Where A = surface area

w= width

l= length

h=height

Given that the rectangular prism has a length of 15 meters, width of 10 meters, and height of 25 meters.

A= 2(10×15+25×15+25×10)

A=2(150+375+250)

A=2(775)

A=1550 square meters

Surface area of triangular prism = base of triangle x height of triangle + (length of rectangle x width of rectangle) x 3

Since we are not given length and width of the triangular prism, we could assume the triangular prism has same length and width with the rectangular prism given that it is a composite shape(more than one solid in one)

Given triangular base with a base of 6 meters and height of 8 meters.

Surface area of triangular prism= 6×8+(10×15)×3

=48+150×3

=48+450

= 498 square meters

Surface area of a solid is the 2 dimensional space its surface covers. The surface area of the considered composite solid is given by: Option B: 1658 sq. meters

Composite figure is figure made by composing two or more figure. The composite figure may leave a surface common as not a surface of the resultant composite figure due to it being the joining area of two figures, thus, not remaining a surface.

Thus, its surface area would sum of their surface areas - areas of those regions which are not surface anymore.

For the given case, the prisms given are having surface areas as:

Composite figure's surface area = Surface area of its composing figures - any overlapping areas

Surface area of rectangular prism  = [tex]2(L.W + W.H + H.L) = 2(15 \times 10 + 10 \times 25 + 25 \times 15) = 1550[/tex] sq. meters.

Surface area of triangular prism = area of its three rectangular faces + area of its base triangles.

For the triangle ABI, Pythagoras theorem is proved to be true with angle I (internally) being right angled triangle. (As we have [tex]10^2 = 8^2 + 6^2[/tex] )

That means the area of those triangles would be base times height times half, which comes as [tex]8 \times 6 \time 1/2 = 24[/tex] sq. units.

The three faces have area as= [tex]15 \times 10 + 15 \times 6 + 15 \times 8 = 15(24) = 360[/tex] sq. meters.

Sum of area of triangular prism and rectangular prism is 1550 + 408 = 1958 sq. meters

Thus, the surface area of the considered composite solid is given by: Option B: 1658 sq. meters

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