Triangle S TV was dilated with the origin as the center of dilation to form triangle S TV what is the scale factor of the dilation

Answer:

e.29 d.1

Step-by-step explanation:

we will replace with the values we have :

Answer:

x = a + b

Step-by-step explanation:

This is a proof

Exterior angle of a triangle = Sum of Interior and opposite angles

Exterior angle of a triangle = x

Sum of Interior and opposite angles = a + b

know that

a + b + c = 180       ______1          (total sum of angles in a triangle)

x + c = 180   _______2                 (total sum of angles on a straight line)

from equation 1

c = 180 - (a + b)

from equation 2

c = 180 - x

hence

180 - (a + b) = 180 - x

180 - 180 + x = a + b

x = a + b

Answer:

x = 19.

Step-by-step explanation:

By the tangent - secant theorem:

BD^2 = AB * EB

so:

8^2 = (x - 7 + 4) * 4

4(x - 3) = 64

4x - 12 = 64

4x = 64 + 12 = 76

x = 76/4

= 19.

Answer:

[tex]\boxed {\red {0.035m}}[/tex]

Step-by-step explanation:

[tex]1m = 100cm \\ x = 3.5cm[/tex]

[tex]use \: \: cross \: \: multipication[/tex]

[tex]3.5 \times 1 = 100 \times x \\ 3.5 = 100x \\ \frac{3.5}{100} = \frac{100x}{100} \\ x = 0.035m[/tex]

Answer:

B 120 cubic centimetres

Answer:

a) 60 degrees

Step-by-step explanation:

b) The triangle shown is an equilateral triangle as all the sides are the same. This means that all the angles are the same as well.

Angles in a triangle add up to 180 degrees. There are 3 angles. Each angle is 60 degrees.

Angle x is an exterior corresponding angle and hence, that is why x = 60 degrees.

Answer:

All of the measures of the interior angles of an equilateral triangle are 60°. Because x and 60° are alternate interior angles of parallel lines, this means that they are equal, therefore x = 60°.

Answer:

3rd option

Step-by-step explanation:

The ratio of 1:3 mean that one part is 1 to the other part being 3.

That means the total is 1 + 3 = 4.

1 part to 3 parts is the same as 1 part to a whole of 4 and 3 parts to a whole of 4.

Answer: 3rd option

Answer:

The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.

Step-by-step explanation:

I like to call the numbers in the ratio 1 : 3 "ratio units".

That is, the short length is 1 ratio unit long, and the longer length is 3 ratio units long. The total (whole) length is 1+3 = 4 ratio units long. Then the short length (1 ratio unit) is 1/4 of the whole length (4 ratio units).

_____

Coment on the answer wording

I think you need to be careful with terminology. The word "part" has a different meaning in the first answer sentence "... part to part" than it does in the second answer sentence "... parts in the whole ...".

In the first sentence, it refers to "a piece of the line, no matter its length." In the second sentence, it refers to "that length of the line represented by 1 in the ratio."

Answer:

Angle B is the answer

Answer:

36

Step-by-step explanation:

Area of a square is s² , where 's' is the side length.

For a square of side length = 6 cm ,

The area = (6 cm)² = 36 cm²

* Why did your teacher say that you should not include units in your answer?

Anyway, the area without units is 36 .

Answer:6 1/2

Step-by-step explanation:1/2+3 1/2+2 1/2

Add all the halves (1/2)

1/2+1/2+1/2=1 1/2

Then add the 3 and 2 in front of the fraction.

3+2=5

So, 1 1/2+5=6 1/2

Answer:

6 1/2

Step-by-step explanation:

3+2=5

1/2+1/2=1

5+1=6

6+1/2=6 1/2

Answer:

Hey there!

20^2+54/9

400+54/9

400+6

406

Hope this helps :)

Answer:

406

Step-by-step explanation:

20²+6

=400+6

=406

Answer:

140°

Step-by-step explanation:

[tex] m \angle \: 2 = \frac{1}{2} \times \bigg(133 \degree + 147 \degree \bigg) \\ \\ m \angle \: 2 = \frac{1}{2} \times 280 \degree \\ \\ \huge \red { \boxed{m \angle \: 2 = 140 \degree }}[/tex]

Answer:

Step-by-step explanation:

4. A) [tex]\frac{13}{100}[/tex]×79.50 = 10.335

tax=10.335

total cost=79.50+10.335=89.835

B) [tex]\frac{13}{100}[/tex]×189.99=24.6987 = tax

189.99+24.6987=214.6887

5) [tex]\frac{20}{100}[/tex]×544.99=108.998

yes Brittany will have enough money

Answer:

Step-by-step explanation:

f(x)=x²-25=(x-5)(x+5)

g(x)=x-5

(f/g)(x)=(x-5)(x+5)/(x-5)=x+5;   for x≠5

D=R-{5}

Answer:

11

Step-by-step explanation:

3 times 11 gives you 33 which would be the product

3 x 11 = 33

subtract the 12(twelve) from the 33(product)

33 - 12 = 21

Answer:

16/5

Step-by-step explanation:

xy/-5

(2)(-8)/-5

-16/-5

=16/5

Answer:

In counting to a base, when we get to the point where the base integer comes up, we replace by 10, on the first time and by 10 at every other time the integer is about to come up

We now this in base 10 as when we get to 10 we input 10 and so and so till we get to 99 where since we are in base 10 the next number is 100 because that is the highest we can go while in base 11 100 in base is equivalent to 91

So we have for base 5

1 , 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44, 100, 101, 102, 103, 104, 110, 111, 112, 113, 114, 120, 121, 122, 123, 124, 130, 131, 132, 133, 134, 140, 141, 142, 143, 144, 200

We see that on getting to 4 instead of the next digit to be 5 we replace it with 10 because 5 cannot be displayed in base 5

Similarly after 14 is 20 because 5 cannot be displayed at 24 the next number is 30 because 5 cannot be displayed

at 34 the next  40, while at 44 the next is (we could have written 50 but 5 is 10 in base 5 so we write 100) 100

At 144, we note that 44 = 100 + 44, therefore, the next number will be 100 + 44+ 1 = 100 + (45 but 45 = 100 in base 5) 100 so that the next number is 200

Base 2

In base 2 we have;

1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011, 1100, 1101, 1110, 1111, 10000, 10001, 10010, 10011, 10100, 10101, 10110, 10111, 11000, 11001, 11010, 11011, 11100, 11101, 11110, 11111, 100000, 100001, 100010, 100011, 100100, 100101, 100110, 100111, 101000, 101001, 101010, 101011, 101100, 101101, 101110, 101111, 110000, 110001, 110010

We see that there are no 2s and after 11 we get 100 just like after 99 we get 100 in base 10 and after 44 we get 100 in base 5

So we need to still have an idea of the number system just as we did for base 10

Step-by-step explanation:

Answer:

1 3/5 = 8/5

.2=2/100

Step-by-step explanation:

make an equality:

x/(8/5)=2/100

it kinds looks weird on here but write it out on paper

then cross multiply:

100x=(2)(8/5)

100x=16/5

now divide each side by 100:

x=4/125

same for the second one:

make an equality:

x/2=2/100

cross multiply:

100x=(2)(2)

100x=4

x=1/25

Answer:

Area = 147.03 cm²

Step-by-step explanation:

Area of parallelogram = [tex]Base*Heigth[/tex]

Where base = 16.9 cm, Height = 8.7 cm

Area = 16.9*8.7

Area = 147.03 cm²

Answer:

147.03 square cm

Step-by-step explanation:

[tex]area \: of \: parallelogram \\ = base \times height \\ = 16.9 \times 8.7 \\ = 147.03 \: {cm}^{2} \\ [/tex]

Answer:

x = 10

Step-by-step explanation:

One of the smaller angles that is created by the angle bisector measures 5x+4.

An angle bisector cuts an angle into two equal parts. So, 5x+4 = 1/2 (108) or

2(5x+4)=108 (divide both sides by 1/2)

10x+8=108 (distribute)

10x=100 (subtract 8 from both sides)

x=10 (divide by 10)

x=10

Answer:

Check below

Step-by-step explanation:

There are rigid transformations that produce congruent figures: translation, rotation, and one transformation that produces a similar figure, namely: Dilation.

1) Toyota: translation, and Dilation.

Two ellipses translated within a larger ellipse.

2) 2 Reflections, or 4 rotations of the pre-image

We have two ways of drawing this figure. Either by reflection of the right and the lower one or by rotation.

3) CBS: Dilation of the circumference, inside a rhombus.

4) Mitsubishi: Reflection about the y axis, Rotation for the figure up.

e) Reflection

f) Translation

Answer:

D. 127.5 square units

Step-by-step explanation:

AC=17

BD=15

AB=11.5

Diagonal (1&2) are given, base of the rhombus is also given.

Height is not given

Area of a rhombus given the diagonals

=1/2×d1×d2

Where,

d1=AC=17

d2=BD=15

Area of a rhombus=1/2×d1×d2

=1/2×17*15

=1/2×255

=127.5

D. 127.5 square units

Answer:

D for sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Confidence interval for population proportion is expressed as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

From the information given,

Sample proportion, p = 65/100 = 0.65

q = 1 - 0.65 = 0.35

n = 200

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96

Margin of error = 1.96√(0.65)(0.35)/200

Margin of error = 0.066 = 6.6%

The maximum boundary of the interval is

0.65 + 0.066 = 0.716

Answer:

Solution,

[tex] \frac{24 {x}^{2} + 25x - 47}{ax - 2} = - 8x - 3 - \frac{53}{ax - 2} \\ \frac{24 {x}^{2} + 25x - 47 }{ax - 2} = \frac{( - 8x - 3)(ax - 2) - 53}{ax - 2} \\ 24 {x}^{2} + 25x - 47 = - 8a {x}^{2} + (16 - 3a)x - 47 \\ [/tex]

Equating coefficients from both side:

[tex] - 8a = 24 \\ a = \frac{ 24}{ - 8} \\ a = - 3[/tex]

Hope this helps..

good luck on your assignment..

Answer:

-3

Step-by-step explanation:

Lucky guess?

Answer:

x = -12

Step-by-step explanation:

-10x+1+7x=37

Combine like terms

-3x+1 = 37

Subtract 1 from each side

-3x+1-1 = 37-1

-3x = 36

Divide by -3

-3x/-3 = 36/-3

x = -12

Answer:

Step-by-step explanation:

You have to use the Law of Cosines here to solve for C. For us the equation will take on the form

[tex]c^2=a^2+b^2-2abcosC[/tex] for which we have all the values except C. Filling in:

[tex]12^2=28^2+18^2-2(28)(18)cosC[/tex] which will simplify to

144 = 784 + 324 - 1008cosC.  Simplify a bit more to

144 = 1108 - 1008cosC. Subtract 1108 from both sides to get

-964 = -1008cosC. Divide both sides by -1008 to get

.9563492063 = cosC

Press the 2nd button and then the cos button on your calculator. You should see this on your screen:

[tex]cos^{-1}([/tex]

After that open parenthesis, enter that long decimal and hit "enter". You should get that your angle is 16.99 which I imagine you would round to 17, which is choice D. If you did not get 16.99 but you got .29655, you are in radian mode and you need to be in degree mode. Hit "mode" and change it with your arrow key and hit "enter" and it's changed!

Answer: 19 miles

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the distance between the hiker and the camp) and a and b are the other sides.  

Replacing with the values given:  

x^2 = 6^2 + 18^2  

x^2 = 36+324

x^2 = 360

x = √360

x = 18.97miles = 19 miles

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Mean = 0.38082 checks per day

Variance = 0.38082

Standard deviation = 0.61711

Step-by-step explanation:

In a Poisson distribution, the variance (V) is equal to the mean value (μ), and the standard deviation (σ) is the square root of the variance.

A year has 365 days,, if 139 checks were written during a year, the mean number of checks written per day is:

[tex]E(x)=\mu=\frac{139}{365}\\ \mu=0.38082\ checks/day[/tex]

Therefore, the variance and standard deviation are, respectively:

[tex]V=\mu=0.38082\\\sigma=\sqrt{V}=\sqrt{0.38082}\\ \sigma =0.61711[/tex]

Answer:

Step-by-step explanation:

[tex](g\circ f)(x) = g\big(f(x)\big)[/tex]

so:

[tex]I.\quad (g\circ f)(a)=\sqrt{f(a)}=\sqrt{a^2-4}=\sqrt{(a+2)(a-2)}\\\\II.\quad (g\circ f)(a)=2f(a)-2=2(\frac12a-1)-2=a-2-2=a-4\\\\ \bold{III.\quad (g\circ f)(a)=\sqrt{f(a)-5}-2=\sqrt{5+a^2-5}-2=\sqrt{a^2}-2=|a|-2}\\\\ IV.\quad (g\circ f)(a)=4f(a)-5=4(3-3a)-5 = 12-12a-5=-12a+7[/tex]