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WITCHER [35]
2 years ago
8

Select all TRUE statements : A - Dilation always increase the length of shapes or line segments. B- Dilations of an angle are co

ngruent to the original angle. C- Dilations increase the measures of angles. D- Dilations of a triangle are congruent to the original triangle. E-Dilations of a triangle are similar to the original triangle
Mathematics
1 answer:
timurjin [86]2 years ago
6 0

Hi!

A is <u>FALSE</u> - If you shrink a shape, it is not increased a shape, yet it is still dilating.

B is <u>TRUE</u> - When you dilate an angle, you're really just shortening or lengthening the sides, but the angle isn't changing.

C is <u>FALSE</u> - Explained above.

D is <u>FALSE</u> - Two triangles that are congruent are <em>exactly the same, </em>therefore if you dilate a triangle, you are changing the size so they are not the same.

E is <u>TRUE</u> - Similar shapes are always the same <em>except for their size. </em>When you dilate a shape, you only change the size, therefore they are equal in every other way and they are similar.

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Please help me answer this!!
Alex Ar [27]

Answer:

SUPER SIMPLE =

if r//s then the two angles which in this case are 110 and 80 should be equal but clearly in this case are not so the the lines r and s arent parallel to each other .

5 0
3 years ago
You and three friends go to a baseball game. You each pay $2 for a drink and x dollars for nachos. Use the Distributive Property
BabaBlast [244]

Answer:

The simplified expression for the total amount the group pays is (6 + 3·x) dollars

Step-by-step explanation:

The given parameters are;

The number of friends that went to the baseball game = 3

The amount each paid for a drink = $2

The amount each paid for nachos = x dollars

Therefore, the amount each spend = $2 + x dollars

The total amount the three friends spend = 3 × ($2 + x dollars)

By distributive property is given as follows;

a × (b + c) = a × b + a × c

a × (b - c) = a × b - a × c

Given that a, b, and c are real numbers

Therefore;

The total amount the three friends spend = 3 × ($2 + x dollars) = 3 × $2 + 3 × x dollars

The total amount the three friends spend = 3 × $2 + 3 × x dollars

The simplified expression for the total amount the group pays = $(6 + 3·x) = (6 + 3·x) dollars.

4 0
2 years ago
Each calendar will sell for $5 each write an equatio to model the total income for selling calendars
Brrunno [24]
To answer the question above, I let x be the number of calendars sold. You may use any other letter as this is just for representation. The total income generated in selling calendars is calculated by multiplying the number of calendars with the price. That is,
                                   total income = 5x
If we let total income be y, our equation is further simplified into, 
                                            y = 5x
4 0
3 years ago
A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one comp
Volgvan

Answer:1+10(1-\cos (\frac{\pi t}{9}))

Step-by-step explanation:

Given

radius of wheel r=10 m

Time period of Wheel T=18 s

and T\cdot \omega =2\pi , where \omega =angular velocity of wheel

\omega =\frac{2\pi }{18}

Let at any angle \thetawith vertical position of a point is given by

x=r\sin \theta

y=y_0+r(1-\cos \theta )

and \theta =\omega \times t

for velocity differentiate x and y to get

v_x=r\cos \theta =r\cos (\omega t)

v_y=0+r(\sin \theta )=r\sin (\omeag t)

Height at any time t is given by

h=1+10(1-\cos \theta )=1+10(1-\cos (\frac{\pi t}{9}))

7 0
3 years ago
Find the domain for the function f(x)=sqrt x^2-x+6
dybincka [34]

Answer:

The domain is {x : x ∈ R} or (-∞ , ∞)

Step-by-step explanation:

* Lets explain how to find the domain

- The domain of the function is the values of x which make the

  function defined

- The quantity under the square root must be ≥ 0 because there is

  no square root for negative value

* Lets solve the problem

∵ f(x) = √(x² - x + 6)

∴ The value of (x² - x + 6) must be greater than or equal zero because  

   there is no square root for negative value

- Graph the function to know which values of x make the quantity

  under the root is negative that means the values of x which make

  the graph under the x-axis

∵ The graph doesn't intersect the x-axis at any point

∵ All the graph is above the x-axis

∴ There is no value of x make f(x) < 0

∴ x can be any real number

∴ The domain of f(x) is all real numbers

∴ The domain is {x : x ∈ R} or (-∞ , ∞)

6 0
3 years ago
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