What is the distance between (8,-3) and (4,- 7)?

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1)

Fact :: Reason

∠DCE = 90° :: sin ∠EDC = sin 30° = 1/2 = 8/16 = CE/DE

∠ACB = 90° :: ∠DCE and ∠ACB are vertical angles

∠ABC = 60° :: 180 - ∠CAB - ∠ACB = 60°

∠CED = 60° :: 180 - ∠EDC - ∠DCE = 60°

△CDE ⁓ △ABC :: Same angles (AAA)

2)

Let's solve for AB

sin 30° = 1/2

sin 30° = BC/AB = 15/AB

1/2 = 15/AB ⇒ AB = 30

AB = 30 in

Let's solve for AC (using another way)

AC/12 = 15/8

AC = 12 * 15 / 8   = 22.5

AC = 22.5 in

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Hope I could help you! If there was anything you didn't understand, don't be afraid to ask in the comments below!

Have a good day! (●'◡'●)

Answer:

2003, the answer you've selected is correct.

Step-by-step explanation:

You are being asked for the year (x-axis), when there are 550billion passengers (y-axis). The point on the line when y=550 is between 2000 and 2005. 2003 is the only option that fits this description.

Answer: 2003

Step-by-step explanation:

The 550 billion line intersects the time in years after 2000 but just before 2005.

Answer: 14 9/10 mins left

Step-by-step explanation: 9 7/10 + 5 2/5 five and two fifths=5 4/10 9+5=14

7/10+4/10=1 1/10 1 1/10+14=15 1/10 30-15 1/10=14 minutes and 54 seconds

Answer:

67108864

Step-by-step explanation:

Simply multiply by -4 until its the 13th number.

Answer:

2x-3<x+2<3x+5

2x-3<x+2 or 2x-x<2+3 or x<5

x+2=3x+5 or x-3x<5-2 or 2x<3

Step-by-step explanation:

plz brainless

Answer:

7.167 times 10 to the power of 6

Step-by-step explanation:

71670000

Answer:

>

Step-by-step explanation:

-12 is closer to 0 than -41 would be therefore -12>-41.

Answer:

>

Step-by-step explanation:

Looking at a number line, -41 is farther from 0 than -12.

See the image below.

The farther left a number is on a number line, the smaller it is.

The farther right a number is on the number line, the larger is it.

So:

-12 > -41

Answer:

D

PLZ MARK AS BRAINLIEST

Answer:

y = -10x + 5 and y = 2/5x + 1

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

for your first problem, just plug in the m and b values to complete the equation.

1.) y = mx + b ⇒ y = -10x + 5

plug in -10 for x (slope) and 5 for b (y-intercept)

and for the second problem...

since you're given a value for slope as well as a coordinate pair, all you need to do is plug those values into the equation for their respective variables and then solve for b. (it doesn't matter what order you plug values in, but i'm going to fill them in in the order of the equation; y, m, and x)

1.) plug in -1 for y

y = mx + b ⇒ -1 = mx + b

2.) plug in 2/5 for m

-1 = mx + b ⇒ -1 = 2/5x + b

3.) plug in -5 for x

-1 = 2/5x + b ⇒ -1 = 2/5(-5) + b

now it's time to solve for b! start by multiplying 2/5 and -5.

-1 = 2/5(-5) + b ⇒ -1 = -2 + b

add 2 to both sides of the equation. on the right side, it cancels itself out. on the left side, adding 2 to -1 gives you 1.

and you're left with 1 = b! :)

therefore, y = 2/5x + 1

i hope this helps! have a great day <3

Answer:

8 parts

Step-by-step explanation:

1. AD≅BC                                                                Given

2. AD║BC                                                                Given

3. ∠DAC and ∠BCA                                                Def. of alt.

are alt. interior  angles                                          interior angle

4. ∠DAC ≅ ∠BCA                                           alternate interior angle theorem

5. AC ≅ AC                                                       reflexive property

6. ΔDAC ≅ ΔBCA                                                     SAS

7. AB ≅ CD                                                              CPCTC

8. ABCD is a parallelogram                                parallelogram side theorem

The proof of ABCD is a parallelogram is given in the solution.

In geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

The proof is as follows :-

AD≅BC (Given)

AD║BC (Given)

∠DAC and ∠BCA (alternate angles)

∠DAC ≅ ∠BCA (alternate angle)

AC ≅ AC (common)

ΔDAC ≅ ΔBCA (SAS rule)

AB ≅ CD (CPCT)

Hence,

ABCD is a parallelogram (by the definition of parallelogram)

Hence, proved.

Learn more about parallelogram, click;

https://brainly.com/question/29147156

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Answer:

675/18=37.5

37.5×40=1500

Step-by-step explanation:

ANSWER 1500 HOPE THIS HELP:)

Answer:

1500 words

Step-by-step explanation:

675 divided by 18 will give you the speed which is 37.5

40 x 37.5 = 1500

The value of $3 is 30% of the number $10.

The percentage is a way to express a proportion or a fraction as a fraction of 100. It is commonly used to compare values or quantities relative to a whole or a total.

The term "percentage" comes from the Latin word "per centum," which means "per hundred." It implies that a percentage value represents a certain number out of 100 parts.

To calculate a percentage, you typically divide a part or a quantity by the whole or the total and then multiply the result by 100. The resulting value represents the percentage equivalent of the part or quantity.

The per cent value is calculated as,

[tex]x = \dfrac{3} {10} \times100\\x = 0.3\times100\\x = 30 \%[/tex]

Therefore, the percentage value is 30%.

To know more about the percentage follow

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Answer:

4, 1, 4, and 1

Step-by-step explanation:

when a problem asks for the domain, it's basically asking for the x coordiantes (range = y coordinates)

Answer:

bro i cant even read the highlighted numbers

Step-by-step explanation:

take a better photo

Answer:

3 tiles will not fit together.

Step-by-step explanation:

Measure of an Interior angle of a polygon = [tex]\frac{(n-2)\times 180}{n}[/tex]

Here, n = number of sides of the polygon

Therefore, measure of the interior angles of a regular hexagon,

A = [tex]\frac{(6-2)\times 180}{6}[/tex]

A = 120°

Similarly, interior angle of the regular pentagon,

B = [tex]\frac{(5-2)\times 180}{5}[/tex]

B = 108°

Now m∠A + m∠B + m∠C = 360°

m∠C = 360° - (120° + 108°)

        = 132°

To fit the given three tiles perfectly, interior angle (∠D) of the third Octagonal tile should be 132°.

D = [tex]\frac{(8-2)\times 180}{8}[/tex]

D = 135°

m∠C ≠ m∠D

Therefore, 3 tiles will not fit together.

Answer:

6

Step-by-step explanation:

23+25=48

48÷8=6

.736 is the decimal form of 92/125

Answer:

5(4) = 20

5 + 5 = 10

2(1.5) = 3

8 + 5 = 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The sequence is geometric

The common ratio is 0.5

Step-by-step explanation:

In the arithmetic sequence, there is a common difference between each two consecutive terms

In the geometric sequence, there is a common ratio between each two consecutive terms

Let us check the given sequence

The first 3 terms are 12, 6, 3

6 - 12 = -6

3 - 6 = -3

There is no common difference between the consecutive terms

The sequence is not an arithmetic sequence

6 ÷ 12 = 0.5

3 ÷ 6 = 0.5

There is a common ratio between each two consecutive terms

The sequence is a geometric sequence

The common ratio is 0.5

Answer:

An arithmetic

Common difference

-5

Step-by-step explanation:

Answer:

3.6 hours

Step-by-step explanation:

The computation of the number of hours will the battery last is given below:

Given that

The capacity of her battery is 2 by 5

And, it declines 1 by 9 for every hour

So,

[tex]= \frac{2}{5}\times \frac{9}{1}\\\\= \frac{18}{5}\\\\= 3\frac{3}{5}[/tex]

= 3.6 hours

Answer:8x+2

Step-by-step explanation:

Answer: it’s 8/10, 3/5, 3/4, 1/2

Step-by-step explanation:1/2 is greater than the other numbers

Answer:

1/2, 3/5, 3/4, 8/10

Step-by-step explanation:

1/2 in decimal form is 0.5

3/5 in decimal form is 0.6

3/4 in decimal from is 0.75

8/10 in decimal form is 0.8

Answer:

V = -3/5

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

7 for $32.76

Step-by-step explanation:

23.60/5 is $4.72

32.76/7 is $4.68

Answer: $4.72

Step-by-step explanation:

To solve this problem we need to find the unit price of a bag of apples(one bag)

Thus, simply do 23.60/5 to get 4.72 and 32.76/7 to get 4.68.  Because 4.68 < 4.72, the orchard is a better deal.

Hope it helps <3 :D

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

I just solved