Triangle ABC with vertices A(4, −6), B(2, −8), and C(−10, 4) is dilated by a scale factor of 2 to obtain triangle A′B′C′. Which statement best describes triangle A′B′C′? (5 points) Group of answer choices
It is congruent to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
It is congruent to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).
It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
It is similar to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).

Answer:

Step-by-step explanation:

This is quite a doozy, so try and follow along. If you don't know your circle stuff well, it will be more difficult for you to understand how all this comes together.

First, we were given that angle CBD = 55. That means that angle CED is also 55 since they are both inscribed angles and they both intercept the same arc, arc CD. Angle BFC is congruent to angle 5 because they are vertical and vertical angles are congruent, so that means that triangle BFC is congruent to triangle EFD because of Angle-Angle-Side. Now that we got that out of the way, let's move on. We will come back to that in a bit.

Angle 1 intercepts arc BE and since angle 1 is an inscribed angle, it is half the measure of its intercepted arc. Therefore,

∠1 = 25° ; angle BCE also equals 25 degrees since they are both inscribed and they both intercept the same arc (again, arc BE).

If angle BCE is 25, and angle CBD is 55, then angle F, by the Triangle Angle Sum Theorem, must equal 180 - 25 - 55 = 100. And if Angle F = 100, then

∠5 = 100° . Angles 4 and 5 are supplementary, therefore,

∠4 = 80°

Since angle CBD was given as 55 and is an inscribed angle for arc CD, then arc CD is twice the measure of its inscribed angle and arc CD is 110 degrees. Angle 6, then, is one-half the difference of arc CD and arc BE so

∠6 = 30°

Angles 2 and 3 are congruent since they are both inscribed and they both intercept the same arc (arc DE); and since triangles BFC and EFD are congruent, by CPCTC, sides BF and EF are congruent...which means by the IsoscelesTriangle Theorem, angle 2 and angle BEC are congruent. 180 - 80 = 100 and divide that in half to get that

∠2 ≅ ∠3 = 50°

Lastly, angle 7 is half the measure of its intercepted arc (arc BE, given as 50), therefore,

∠7 = 25°

Answers:

The blue angle is 135 degrees

The angle is obtuse

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Explanation:

Along the inner ring of values, the left arrow points at 135 (the midpoint of 130 and 140). Therefore, the blue angle is 135 degrees. Or you could note that starting at 130, and counting 5 spaces, will get you to 135. You could start at 140, and count down 5 spaces to get to the same spot.

Another way you can get the answer is to note that the blue arrow on the left is pointing at 45 along the top ring of numbers. This adds to 90 to get 90+45 = 135

Either way, you should get to 135 degrees as the angle value.

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The angle is obtuse because the angle is larger than 90 degrees. It's wider or larger than a right angle.

Answer:

n>- 5/14

Step-by-step explanat

t is greater than

Step-by-step explanation:

make me brainlist

Answer:

3 or 1/3 depending on going from small to large, or from large to small

Step-by-step explanation:

the same scale factor applies to all sides of the transformed shape.

when going from small to large, every unit of side length turns into 3 units.

when going from large to small, every 3 units of side length turn into 1 unit.

Answer:

total cost = amount paid + tax paid + tip

total cost = $23.40 + 1.872 + $3.51

Step-by-step explanation:

Chris went out to dinner. His total bill before tax and tip was $23.40 He was charged an additional 8% tax and he also paid 15% tip on the original bill. Write an expression that will show the total cost including tax and tip.

total cost = amount paid + tax paid + tip

tax paid = 8% x $23.40

0.08 x $23.40 = $1.872

tip = 15% x original bill

0.15 x $23.40 = $3.51

total cost = $23.40 + 1.872 + $3.51

9514 1404 393

Answer:

  484 cm³

Step-by-step explanation:

The formula for the volume of a pyramid is ...

  V = 1/3Bh

where B is the base area and h is the height.

Here, the base is a square 11 cm on a side, so its area is ...

  B = s² = (11 cm)² = 121 cm²

Then the volume of the pyramid is ...

  V = 1/3(121 cm²)(12 cm) = 484 cm³

Answer:

Step-by-step explanation:

in order to make a box plot you need to know 5 things.

the minimum, the first quartile, the median, the third quartile, and the maximum value. aka the five number summary

using your calculator you can find that in this set of values:

min = 1

Q1 = 2.5

med (Q2) = 3

Q3 = 5.5

max = 7

the box plot will look something like this:

finish the question

Step-by-step explanation:

Answer:

j+23=52

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

90-39 = 51

Answer:

[tex]f'(y) = -9e^{-9y}[/tex]

Step-by-step explanation:

The given function is :

[tex]f(y) = 8 + e^{-9y}[/tex]

We need to find the value of f'(y).

[tex]f'(y)=\dfrac{d}{dy}[8+e^{-9y}][/tex]

[tex]=\dfrac{d}{dy}(8)+\dfrac{d}{dy}(e^{-9y})\\\\=0+e^{-9y}\dfrac{d}{dy}(-9y)\\\\=-9e^{-9y}[/tex]

So, the value of f'(y) is equal to [tex]-9e^{-9y}[/tex].

Answer:

B: 42°, 48°

Step-by-step explanation:

I took the test.

The pair of angles have congruent values for the sin x° and the cos y° is 42; 48.

Angles that are of the same measurement are called congruent.

Suppose that two angles ∠A and ∠B are of the same measure,

then

[tex]m\angle A = m\angle B[/tex]

is the notation to say that they are of the same measurement, where the small m shows that its the measurement of the angles they're preceding.

We write the congruency between them as;

[tex]\angle A \cong \angle B[/tex]

Congruent angles can be defined as a type of angle that is known to have all sides in equal measure.

sin x  = cos (90-x)

therefore,  sin 42 = cos(90-42)

                             = cos 48

Hence, option B) 42°, 48° is correct

Learn more about congruent angles ;

brainly.com/question/2938476

#SPJ2

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Explanation:

15% of 15 = 0.15*15 = 2.25

The cost has increased by $2.25 which means the cost per kilogram is now 15+2.25 = 17.25 dollars

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As a slight shortcut, we can multiply the old cost (15) by the multiplier 1.15 to get the same result:

1.15*15 = 17.25

This method allows us to chain together many percentage increases, and it also allows us to include percentage decreases as well. Note how 1.15 is basically the result of 100% + 15% = 1.00+0.15 = 1.15

V = ( 4/3 ) × π × r^3

V = ( 4/3 ) × π × ( 6/2 )^3

V = ( 4/3 ) × π × ( 3 )^3

V = ( 4/3 ) × 3 × 9 × π

V = 4 × 9 × π

V = 36 π m^3

Thus the correct answer is option D .

Answer:

the answer 240

Step-by-step explanation:

times 24 and 10 to get 240 m

Answer:

24cm

Step-by-step explanation:

3x8=24cm

Answer:

its e (27m).............................

[tex]x = 80[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](x - 8)2 = 144 \\ ⇢ 2x - 16 = 144 \\ ⇢ 2x = 144 + 16 \\ ⇢ 2x = 160 \\ ⇢ x = \frac{160}{2} \\ ⇢ x = 80[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{To\:verify }}{\orange{:}}}}}[/tex]

[tex]2x - 16 = 144 \\ ➵ \: 2 \times 80 - 16 = 144 \\ ➵ \: 160 - 16 = 144 \\ ➵ \: 144 = 144 \\ ➵ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Step-by-step explanation:

1/4+3/10+5/21

105+42+100/420

=247/420

=0.588

[tex]\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

[tex]\longrightarrow \dfrac{247}{420} [/tex]

or

[tex]\longrightarrow0.588[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

option C both

Step-by-step explanation:

13x - 42 = 18 -7x

13x + 7x -42 = 18

20x - 42 = 18  ------------joey

13x - 42 = 18 - 7x

13x = 18 +42 -7x

13x = 60 -7x ---------nolan

Answer: It's C f"(x)= 15x^2+235 Hope that helps!

Step-by-step explanation:  

Find the Greatest Common Factor (GCF).

GCF = 5

2. Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

5(15x^2/5+235/5)

3. Simplify each term in parentheses and that would give you 5(3x^2+47) and that's why I think it C but i'm not so sure but if you get it right can you please make me Brainliest bye and I hope you get it right!

Answer:

B is most credible

Hope this helped.

Answer:

32 is the value

Step-by-step explanation:

Answer:

10 percentage is the ans

Step-by-step explanation:

see the pic there is full step

Answer:

6

Step-by-step explanation:

13x is 13

x is 1

6x is 1 times 6 is 6

Answer:

13x+2=15

13x=15-2

x=13/13

x=1

6x=6*1

=6

Step-by-step explanation:

3.19,3.51,3.72,3.93

Step-by-step explanation:

3.19=3.2

3.51=3.5

3.72=3.7

3.93=3.9

you take over the number kn the tenth .... if its 1 234 you round down and if its 5 or more you round up... simple

Answer:

A. [tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]-2\frac{1}{3} -(-5)[/tex]

[tex]-2\frac{1}{3} +5[/tex]

Answer:

40 daps

Step-by-step explanation:

lets say daps is d, yaps are y and baps are b

4d = 7y, 5y=3b

First convert to y

4/7d = y

Now convert that to b

5(4d/7) = 3b

20d / 7 = 3b

20d / 21 = b

Plug it in:

42(20d/21)

40d

aka 40 daps

Answer:

The answer is 5.5 because half of 11 is 5.5 and diameter is half of circumference.

Answer:

5.5

Step-by-step explanation:

diameter=11

radius = diameter÷2

r=11÷2

radius=5.5