What is the missing reason in the proof? Given: ∠ABC is a right angle, ∠D B C is a straight angle Prove: ∠ABC ≅ ∠A B D A horizontal line has points D, B, C. A line extends vertically from point B to point A. Angle A B C is a right angle. definition of angle bisector segment addition property definition of congruent angles transitive property

Answer:

Solution given:

since Rosie walked 18 km INA first day.

so

first term[a]=18km

again

she walked 90% of what she walked the day before which means

common ratio decreasing

common ratio[r]90%=0.9

sum of 10th day[tex]S_{10}[/tex]=?

no of term (n)=10

now

we have

[tex]Sum_{10}=\frac{a(r^{n}-1)}{r-1}[/tex]

substituting value:

=[tex]\frac{18(0.9^{10}-1)}{0.9-1}[/tex]

=117.28km

in nearest 10 it is 117km

the total distance Rosie had travelled by the end of 10 days is 117km.

Answer: 75.4

Step-by-step explanation:

The equation for the circumference for a circle is diameter times pi. 24 times pi is 75.3982236862. Rounded to the nearest tenth would make it 75.4.

Answer:

360/ 5 is the answer

Step-by-step explanation:

follow me and please follow me

Answer:

-2,-3

Step-by-step explanation:

Answer:

-2 -3

It worked for me on acellus

Step-by-step explanation:

Answer:

Confidence Interval - "P" values  

(0.4433 , 0.5444 )

~~~~~~~~~~~~~~~~~~~~~~~

[tex]\mathrm{Expand\:}\left(x+4y\right)^3:\quad x^3+12x^2y+48xy^2+64y^3[/tex]

in you image it is the last on "D"

Step-by-step explanation:

Confidence Level - "P" values  

99% 2.58

Confidence Interval - "P" values  

(0.4433 , 0.5444 )  

Answer:

36 ft²

Step-by-step explanation:

equilateral means all sides are equally long.

a triangle has 3 sides.

in our case they are all equally long.

and their sum (all 3 sides together) is the perimeter

P = 18 = 3 × side length

side length = 18/3 = 6 ft

a square with the same side length (6) had then an area of

side length × side length = 6×6 = 6² = 36 ft²

it is important to remember : a length is measured e.g. in feet (ft). an area is then meshed in square-feet (ft²). it is important to add this to the calculated numbers to express the right dimension of these numbers.

Answers:

===========================================================

Explanation:

I recommend drawing the two triangles as shown below. The diagram isn't to scale, but all that matters is that we get the general idea down.

Your teacher gave you this info:

These two pieces of info are enough to prove that triangle ABC is similar to triangle EDF. Use the angle angle (AA) similarity theorem to do this proof. The order of the lettering matters because it helps us see how the letters pair up.

Since the triangles are similar, the scale factor to go from ABC to EDF is EF/AC = 2/6 = 1/3

In other words, the side lengths of triangle EDF are exactly 1/3 that of the corresponding lengths of ABC. Or we can reverse things to say the sides of ABC are 3 times longer than the sides of EDF.

----------------------

Use this scale factor to help determine the missing length ED.

(ED)/(AB) = scale factor

(ED)/(AB) = 1/3

(ED)/(3.3) = 1/3

ED = (1/3)*(3.3)

ED = 1.1

Note how ED/AB = (1.1)/(3.3) = 11/33 = 1/3

----------------------

While we don't know how long sides BC or DF are, we are told that DF is 3.2 units shorter compared to BC.

This means

DF = BC - 3.2

DF = x - 3.2

Then we can say,

(DF)/(BC) = scale factor

(x-3.2)/(x) = 1/3

3(x - 3.2) = x*1

3x - 9.6 = x

3x - x = 9.6

2x = 9.6

x = (9.6)/2

x = 4.8

So BC is x = 4.8 units long and DF is x-3.2 = 4.8-3.2 = 1.6 units long

Answer:

3/2(x+y)

Step-by-step explanation:

The cost of 2 DVD is x+y

Divide by 2 to get the cost of one DVD

(x+y) /2

Multiply by 3 to get the cost of 3

3/2(x+y)

Answer:

= 3(x + y)/2

Step-by-step explanation:

Cost of two DVD's is shown as :-

= x + y

If we divide by 2 we'll get the cost of each DVD

= (x + y)/2

Then, multiplying by 3 gives us the total amount.

= 3(x + y)/2

Answer:

98°+62°+6x = 180

160+6x = 180

6x = 180 - 160

6x = 20

x= 20/6

x= 3.33

therefor your answer is 3.33

Step-by-step explanation:

Yes. A translations preserve it's. length, shape,size and orientation. WHY?

9514 1404 393

Answer:

  2. (only)

Step-by-step explanation:

The Pythagorean theorem tells you the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. To determine if these are right triangles, determine if that condition is met.

  1. 3^2 +5^2 = 9 + 25 = 34 ≠ (√35)^2 . . . . not a right triangle

  2. 5^2 +4^2 = 25 +16 = 41 = (√41)^2 . . . a right triangle

  3. 6^2 +8^2 = 36 +64 = 100 ≠ (√10)^2 . . . . not a right triangle

  4. 3^2 +3^2 = 9 +9 = 18 ≠ (3√3)^2 = 27 . . . . not a right triangle

Answer:

1/2 x^4 +x^3 +8

Step-by-step explanation:

Standard form means highest power of x to lowest power of x

1/2 x^4 +x^3 +8

Answer:

Solving for x (rearranging) you get:

(x^3+x+(x^2+1)^1/2)/x^2+1=y

Step-by-step explanation:

Solve for x by simplifying both sides of the equation and solving for y by isolating y

Answer:

3 + b/6 = 5

solve it too?

b/6 = 2

b = 12

Answer:

is it like

3x+6=5

to solve this

3x+6=5

collect like terms

3x= -6+5

3x= -1

divide both side by 3

3x/3=-1/3

x= -0.3

Answer:

y = -x + 15

Step-by-step explanation:

if an item is priced at $9 per item then 6 items are sold.

Thus, the input is 9 while the output is 6.

Thus, we can say; x, y = (9, 6)

4 items are sold for $11 per item. Thus, the coordinate is; (11, 4)

Now,slope is;

m = (y2 - y1)/(x2 - x1)

m = (4 - 6)/(11 - 9)

m = -2/2

m = -1

We know that slope intercept form is;

y = mx + c

Let's try the first point.

Thus;

6 = -1(9) + c

6 + 9 = c

c = 15

Thus, equation of line is;

y = -x + 15

Answer:

yes because the graph passes the vertical line test

Answer:

1 / 5

Step-by-step explanation:

Given the outcome of number cube spin : 2, 5, 3, 5, 1, 2, 3, 3, 4, 6

The experimental probability of an event, A is given as :

P(A) = number of times A occurs / total number of trials

Therefore, the experimental probability of getting 2 ;

P(getting 2) = Number of times 2 occurs / total number of trials

P(getting 2) = 2 / 10 = 1/5

Answer:

the inequality is 0<x<4

Step-by-step explanation:

(0,4)

Answer:

C = y - 3x-1

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

C = y - 3x-1 is in slope intercept form

The answer is A.

I took the test.

Answer:

Amount she would have in 2 years at a simple interest of is

$5000 + ($5000 x 0.048 x 2) = $5480

Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :

$5000 x ( 1 +0.041/2)^4 = $5422.78

the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose

Step-by-step explanation:

Future value with simple interest = principal + interest

Interest = principal x interest rate x time

0.048 x 5000 x 2 = 480

future value = $480 + 5000 = $5480

The formula for calculating future value with compounding:

FV = P (1 + r)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years

5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78

Answer:

3/1 times 1/4, 3/2 times 1/2, 9/8 times 2/3

Answer:

1/2 & 3/2

Step-by-step explanation:

1/2 X 3/2 = 3/4

To get this answer, you need to think of two numbers which we can multiply to get 3 and two numbers which we can multiply to get 4.

Answer from Gauthmath

Answer:

C

Step-by-step explanation:

Given

[tex]\frac{x^2-16}{(x-16)(x+4)}[/tex]

The numerator is a difference of squares

x² - 16 = (x - 4)(x + 4)

= [tex]\frac{(x-4)(x+4)}{(x-16)(x+4) }[/tex] ← cancel the common factor (x + 4) on numerator/ denominator

= [tex]\frac{x-4}{x-16}[/tex] → C

Answer:

1/4

Step-by-step explanation:

b+-sqrt b^2-4ac all over 2a

Answer:

here's the answer to your question

Answer:

48.5

Step-by-step explanation:

53.5

-  5.0

48.5

5 tenths - 0 tenths = 5 tenths (.5)

3 minus 5, three smaller than 5 so BORROW 10 13 -5 = 8 (8)

the 5 in the tens position becomes a four because one got "borrowed"

4 - 0 = 4 (4)

48.5 is the result

Answer:

C. {x | x < [tex]\frac{10}{7}[/tex]}

Step-by-step explanation:

x must be less than 10/7

I hope this helps!

I think you tried copy pasting the thing in here. usually written equations on tests or whatever don't copy paste well

Answer:

hello,

answer C

Step-by-step explanation:

As |a| ≥0,

f(|a|)=|a|+5

Standard form of a quadratic equation: ax^2 + bx + c = 0

4x^2 - 5x + 10 = 2x

4x^2 - 7x + 10 = 0

Hope this helps!

Answer:

204.2 cm

Step-by-step explanation:

equilateral means all sides are of equal length.

the perimeter of such a triangle is simply 3 times one of these sides.

so,

612.6 = 3×0.2×(10x + 90) = 0.6×(10x+90) = 6x + 54

6x = 558.6

x = 93.1

so, a single side is

0.2×(10×93.1 +90) = 0.2×(931 + 90) = 0.2×1021 = 204.2 cm

to check

3×204.2 = 612.6 = the original perimeter.

so, correct.