Using coordinate geometry, prove that Quadrilateral MIKE is a Parallelogram:

Answer:

In the graph we can find two points, lets select:

(2, 15) and (4, 30)

Those are the first two points.

Now, for two pairs (x1, y1) (x2, y2)

The slope of the linear equation y = s*x + b that passes trough those points is:

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

So the slope for our equation is

s = (30 - 15)/(4 - 2) = 15/2

then our linear equation is

y = (15/2)*x + b

now we can find b by imposing that when x = 2, y must be 15 (for the first point we selected)

15 = (15/2)*2 + b = 15 + b

b = 15 - 15 = 0

then our equation is:

y = (15/2)*x

Where we used a division and a multiplication.

Answer: [tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

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

Convert the mixed number to improper fraction. You can do this by multiplying the whole number times the denominator and adding the numerator; over the same denominator.

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

Solve;

[tex]-\frac{6+1}{3} -(-5)=[/tex]

[tex]-\frac{7}{3} -(-5)=[/tex]

Now, get rid of the two negatives by multiplying.

[tex]-\frac{7}{3} +5=[/tex]

Remember 5 has a 1 below; therefore, we can subtract these two fractions by getting both to a same denominator. Let's rewrite 5 as a fraction.

[tex]-\frac{7}{3}+\frac{5}{1} =[/tex]

To be able to convert 1 to 3, we have to multiply by 3. Remember that if you change the denominator, you have to change the numerator as well.

[tex]-\frac{7}{3}+\frac{5}{1} (\frac{3}{3} ) =[/tex]

Solve;

[tex]-\frac{7}{3}+\frac{15}{3} =[/tex]

Subtract numerators and keep the same denominator.

[tex]\frac{-7+15}{3}=\frac{8}{3}[/tex]

Convert to a mixed number. To do this, first, divide:

8/3=2

6

----

2

The 2 after the equal sign is the whole number, the two in the remainder is the numerator and the 3 is the denominator. Leaving our result as: [tex]2\frac{2}{3}[/tex]

I tend to think of parallel lines as train tracks (the metal rail part anyway). Inside the train tracks is the interior region, while outside the train tracks is the exterior region. Alternate exterior angles are found here. Specifically they are angles that are on opposite or alternate sides of the transversal cut.

Both pairs of alternate exterior angles are shown in the diagram below. They are color coded to help show how they pair up and which are congruent.

A thing to notice: choices B, C, and D all have point W as the vertex of the angles. This means that the angles somehow touch or are adjacent in some way due to this shared vertex point. However, alternate exterior angles never touch because parallel lines never do so either. We can rule out choices B,C,D from this reasoning alone. We cannot have both alternate exterior angles on the same exterior side of the train tracks. Both sides must be accounted for.

Answer:

8.1(?)

Step-by-step explanation:

Just do 3.5+4.6 to get 8.1, but if you do multiplication then it'll be 16.1. I'm not sure if this is accurate, though.

Answer:

Mark was 8.1 miles away from his home.

Step-by-step explanation:

3.5 + 4.6 = 8.1

Answer:

7.2 / 2.4 = 3 half-lives

(1/2)3 = 0.125 (the amount remaining after 3 half-lives)

100.0 g x 0.125 = 12.5 g remaining

Hope this Helped! :)

Answer:

Is this monthly? Annually? I don't how how to help with this if theres no time period.

Step-by-step explanation:

Answer:no

Step-by-step explanation:

Bc no

.03 is the answer. hope it help!:-)

Answer:

0.02623 rounds to 0.03

Step-by-step explanation:

ones. tenths hundredths thousands

we look at the thousandths place when rounding to the hundredths

the thousands place is 6 (which is 5 or greater) so we will round the hundreds place up 1

0.02623 rounds to 0.03

Answer:

30 cm³

Step-by-step explanation:

Volume of cone is ⅓ of volume of cylinder , when they have same radius and height.

Volume of cone = ⅓ × 90 = 30 cm³

30 12

Step-by-step explanation:

21 + 9 equals 30 21 - 9 equals 12

Answer:

2x+y = 20

Step-by-step explanation:

The equation for a line is y = mx+b where m is the lope and b is the y intercept

y = -2x+b

substitute the point into x and y

8 = -2(6) +b

8 = -12+b

Add 12 to each side

20 =b

y = -2x+20

Add 2x to each side

2x+y = 20

Answer: 2x+y = 20

Step-by-step explanation:

The equation for a line is y = mx+b where m is the lope and b is the y intercept

y = -2x+b

substitute the point into x and y

8 = -2(6) +b

8 = -12+b

Add 12 to each side

20 =b

y = -2x+20

Add 2x to each side

2x+y = 20

Answer:

a

Step-by-step explanation:

a

Answer:

They all have a mode

Step-by-step explanation:

Answer: All of them do

Explanation: I would check with your instructor on this one.

The mode is the number that appears most frequently in a data set.

In all these sets here, there is a number that appears most frequently.

However, there are two sets that have 2 modes.

These sets are 5, 1, 3, 1, 5 and -2, -2, -2, 2, 2, 2.

Answer:

whats the question that u need help with

Answer:

-11

Step-by-step explanation:

f(x)=2x-7

Let x = -2

f(-2)=2(-2)-7

     = -4 -7

     = -11

Answer:

Y=17

X=17√2

Step-by-step explanation:

1) This triangle is a right isosceles triangle. You know this because it is marked in that way.

2) In an isosceles triangle, the legs are congruent. That means, if one leg is x, then the other leg will also be x.

- In this case, (y) will be 17 because the other leg is also 17.

3) According to pythagorean theorem, a^2 + b^2 = c^2. The hypotenuse is directly across the 90º angle. So, in this case, knowing that both legs are 17,

you can write  17^2 + 17^2 = c^2

(c = x) because i'm just substituting the values.

So now, solve it. You will get

289 + 289 = c^2

c^2 = 578

now just square root 578.

(remember c = x)

You get that x = √578 = 17√2

Answer: Bro write the question better

Step-by-step explanation:

You can use the FOIL method (First, Outer, Inner Last) as how most people prefer it.

5x*4x=20x^2

5x*4=20x

2*4x=8x

2*4=8

Combine them all together and you get 20x^2 + 28x +8

I hope this helps.

Answer:

20x^2 + 28x + 8

Step-by-step explanation:

you use the box method shown in the picture to multiply then combine like terms

Answer:

After 10 years that Lisa has bought the car, her car will have an approximate value of:

Step-by-step explanation:

As you can identify in the exercise, every time a year passes, the value of the car has a decrease of 6% of its value that year, so what you should do is take the initial value of $23,000 and multiply it by 94% (the remaining value of its price), then take this result and multiply it by 94% and so on 10 occasions (since they are ten years of depreciation) as I show you below:

Therefore, it would have a value of approximately $12,388.15 after ten years of its purchase.

Answer:

b = 16

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

12^2 + b^2 = 20^2

144+b^2 = 400

Subtract 144 from each side

b^2 = 400-144

b^2 = 256

Take the square root of each side

sqrt(b^2) = sqrt(256)

b = 16

Answer:

9.21954446 (but round to what ever place is required)

Step-by-step explanation:

Use the Pythagorean theorem

a^2+b^2=c^2

6^2+7^2=c^2

36+49=c^2

85=c^2

c=9.21954446

round to what ever place you need

Answer:

59%

Step-by-step explanation:

No. of squares in a whole = 10*10=100

No. of spaces shaded = 59

No. of spaces not shaded = 41

Hence, percent represented by the shaded area = 59%

Answer:

x=28

Step-by-step explanation:

[tex]\frac{1}{3} x=9\frac{1}{3} \\\frac{1}{3} x=\frac{28}{3} \\x=28[/tex]

The value of x is 28.

A mixed fraction represented with its quotient and remainder is a mixed fraction.

To convert a mixed fraction into improper fraction first we multiply the denominator of the proper fraction to the whole number attach with it then we add the numerator.

According to the question:

we have

[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]

for finding the value of x

[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]

⇒[tex]\frac{1}{3}x=\frac{28}{3}[/tex]

⇒[tex]\frac{3}{3} x= 3[/tex]×[tex]\frac{28}{3}[/tex]                      (multiply both the sides by 3)

⇒ [tex]x= 28[/tex]

The value of x is 28.

Learn more about for finding the value of x here:https://brainly.in/question/11504807

#SPJ2

Answer:

Its the first one

Step-by-step explanation:

Answer:

FOR PLATO IS NUMBER 2

Step-by-step explanation:

(11,-1,-17)

Answer:a

Step-by-step explanation:I know

Answer: B. log(25) + log(18)

Step-by-step explanation:

Use the rule for the sum of logs: the log of a product is the sum of the logs, which means log(x) + log(y) = log(xy) if they have the same base.

[tex] log(25 \times 18) \\ by \: \: \: using \: \: \: the \: \: \: following \: \: \: rule \: \: \: of \: \: \: logarithm \\ log(x \times y) = log(x) + log(y) \: \: \: \: we \: \: \: have \\ log(25) + log(18) [/tex]

B. log (25) + log (18)

Hope it helps.

Do comment if you have any query.

Answer:

12.5x = 54150

x = 54150%2F12.5

x = 4332 books need to be sold to cover production costs

Step-by-step explanation:

Check:

c = 12.50(4332) + 54150

c = 54150 + 54150

c = 108300

Answer: B 6400 m

Step-by-step explanation:

Answer:

Um... I'm sorry, this question was already answered, but I can back the guy up that he's correct at least? Yeah, I used a calculator and it is 15 ft. I'm sorry if I appear annoying for saying this

Answer:

15 feet-

Step-by-step explanation:

Calcutor =~=