In triangle ABC points M and N lie on sides AB and BC, respectively such that MN∥ AC . Segments AN and CM intersect at point K and AK = KC. Prove that △ABC is isosceles.

Answer:

Total number of stamps is 600

Number of stamps collected from Europe is 150

Number of stamps collected from America is 200

Step-by-step explanation:

1/3 of stamps collected are from America

1/4 of stamps collected are from Europe

While 250 stamps are from Africa and Asia

Now what this means is that the fraction remaining when we subtract the sum of 1/3 and 1/4 is what is equal to 250

Firstly, let’s say the total stamp is x

Now the fraction of x equal to 250 would be ;

1-1/3-1/4 = 1-(1/3 + 1/4) = 1-(7/12) = 5/12

Now, 5/12 of x = 250

5/12 * x = 250

5x = 12 * 250

5x = 3,000

x = 3,000/5

x = 600 stamps

Thus, the total number of stamps collected is 600

The number collected from America is 1/3 * 600 = 200

The number collected from Europe is 1/4 * 600 = 150

Answer:

[tex]4\sqrt{7}[/tex]

Step-by-step explanation:

Its a 45, 45, 90 triangle, which means that the hypotenuse is always the equals sides length by [tex]\sqrt{2}[/tex].

[tex](2\sqrt{14} )*\sqrt{2} = 4\sqrt{7}[/tex]

Answer:

[tex]4\sqrt{7}[/tex]

Step-by-step explanation:

The lines on the two sides of the triangle represent congruency (meaning that they both are worth the same value)

Use pythagorean theorem [tex]a^{2} + b^{2} = c^{2}[/tex]. a and b are both the same value

Square root to find c

The answer is then [tex]\sqrt{112}[/tex]  now we need to simplify it further into radical form

Find the greatest set of numbers that include one perfect square and the other a normal number. These numbers should multiply to be 112

These numbers are 16 and 7

16 is the perfect square number because when you square root it, it is a clean number... 4!

The perfect square root always goes outside the radical and the other number (which is 7 in this case) always goes inside the radical

Answer:

$70

Step-by-step explanation:

To add a tip, we must multiply the cost of the bill by 1.15. This will give us the total amount including the tip.

57.86 x 1.15 = 66.539

Because this is money, and it wants us to round to the nearest ten dollars, the cost would be $70. (66.539 is closer to 70 than it is to 60)

Answer:

hope this is correct

Answer:

You can get 6 months

Step-by-step explanation:

Take the gift certificate and divide by the cost per month

30/5 = 6

You can get 6 months

Answer:

6

Step-by-step explanation:

You can compute this by dividing 30 by 5, or in otherwords, by finding the amount of times you can add 5 to get 30.

So 5 + 5 + 5 + 5 + 5 + 5 = 30

and since there are 6 5s, your answer is 6

Answer:

1  2/3

Step-by-step explanation:

The denominators are the same, so we have to borrow from the 4

Borrow  1 in the form 6/6

3 + 6/6+3/6  - 2 5/6

3 9/6   - 2 5/6

1 4/6

Simplify the fraction by dividing the top and bottom by 2

1  2/3

Step-by-step explanation: To subtract mixed numbers, first subtract the fractions.

Notice here however that we have 3/6 - 5/6

which will give us a negative fraction.

Since this will cause us a lot of trouble, instead,

let's rewrite the first mixed number.

We can do this by thinking of 4 and 3/6 as 3 + 1 and 3/6

or 3 + 9/6 by changing 1 and 3/6 to an improper fraction.

So 4 and 3/6 can be written as 3 and 9/6.

So we have 3 and 9/6 - 2 and 5/6.

Now subtract the fractions.

9/6 - 5/6 is 4/6.

So we have 1 and 4/6 or 1 and 2/3.

As an improper fraction, the answer is 5/3.

Answer: 2=x

Step-by-step explanation: -x+3 = 2x + 1 , 2 = x

Explanation:

Urgent care centers: care for basic needs after regular doctor hours

Hospitals: treat time-sensitive emergencies

Medical specialists: offer treatment in a specific field of medicine, such as cardiology

General practice doctors and nurse practitioners: care for routine medical needs

Crisis pregnancy centers: provide counseling for unplanned pregnancies

__

Discussion

Urgent care centers are often open all hours, but may not be as fully equipped (or staffed) to provide the sort of emergency medicine that a fully-equipped hospital can provide. While a general- or nurse-practitioner can provide routine care, they will consult with specialists when expertise is needed in a specific area.

Various kinds of pregnancy centers can provide counseling and perhaps some medical services for planned or unplanned pregnancies.

Answer:

all correct    

Step-by-step explanation:

Answer:

Ask ur self what does measure means and what does center mean

Answer:

  (a)  (a² +3a -1)(a² -3a -1)

Step-by-step explanation:

The constant term of the product of the factors will be equal to the product of their constants. Since you want that product to be +1, the signs of the factor constants must be the same. That eliminates choices (c) and (d).

__

To tell which of choices (a) and (b) is correct, we can compute the squared term in their product. Let's do it in a generic way, with the constant (±1) being represented by "c".

We want the a² term in the product ...

  (a² +3a +c)(a² -3a +c)

That term will be the result of multiplying both sets of first and last terms, and adding the product of the middle terms:

  (a²·c) +(a²·c) -9a² = a²(2c-9)

So, we want the factor (2c-9) to be -11, which means c=-1, not +1.

The correct factorization of the given expression is ...

  (a² +3a -1)(a² -3a -1) . . . . matches choice A

option B

i pretty sure it is

Answer:

The last one (For Imagine Math)

5–√ is irrational. Its decimal equivalent does not terminate or repeat.

The number √5 is an irrational number

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = √5

Now , the number √5 is expressed as

Since the square root of 5 is irrational, there is no pattern to the decimal expansion and it never ends. It also indicates that it cannot be expressed as a fraction with an integer denominator and numerator.

Consequently, it is impossible to calculate the precise value of the square root of 5

Hence , the number √5 is an irrational number

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

-6^4+8x^2-4

Step-by-step explanation:

(3a^2+1)(-2a^2-4)

3a square x -2a square= -6^4

3a square x 1= 3x square -2x^2 x -4=8x^2

3x square + 8x^2= 11x^2

-4 x 1 =-4

Answer:

infinite solutions

Step-by-step explanation:

Multiply the second equation by 2

6x + 2y = 10

3x + y = 5

6x+2y = 10

This is identical to the first equation

This means there are infinite solutions

Answer:

A. 2.2

Step-by-step explanation:

The average rate of change between 2 x values is the total change of the y values (output values) divided by the change in the x values.Slope is special situation of that.

point 1 (x₁,y₁) → ( 2,7.5)

point 2 (x₂,y₂) → ( 18,42.5)

slope = 42.5 -7.5/18-2 =35 / 16 = 2.1875 ≈ 2.2

Answer:

5156

Step-by-step explanation:

Let x represent the initial attendance;

Since the initial attendance dropped by 2%

New attendance = x - 2% of x = x - 0.02x

New attendance = 0.98x

Given;

New attendance = 5053

Equating the values and solving for x;

0.98x = 5053

x = 5053/0.98

x = 5156.12

x = 5156

Initial attendance before the drop = 5156

Answer:

Model: y = 370 * (1.1)^t

Time for 600 cells: after about 5 hours

Step-by-step explanation:

The function that models an exponencial growth is:

y = Po * (1 + r)^t

Where y is the final value, Po is the inicial value, r is the rate and t is the time.

In this case, we have that Po = 370 and r = 10% = 0.1, so our model is:

y = 370 * 1.1^t

To find the time when the number of cells will be 600, we just need to use y = 600 and then calculate for t:

600 = 370 * 1.1^t

1.1^t = 600/370

1.1^t = 1.6216

log(1.1^t) = log(1.6216)

t * log(1.1) = log(1.6216)

t * 0.0953 = 0.4834

t = 0.4834 / 0.0953 = 5.0724 hours

Answer:

285

Step-by-step explanation:

use algebra

third is x

second is 4x

first is 4x-3

x+4x+4x-3

9x-3 = x+x+1+x+2

9x-3=3x+3

12x=6, divide x=2

third is 2, sec is 8, first is 5

Answer:

The polygon has a total of 15 sides

Step-by-step explanation:

Mathematically, the sum of the interior angles of a polygon can be calculated using the formula

(n-2) 180

Now there are 6 right angles. A right angle refers to 90 degrees. 6 right angles will be 6 * 90 = 540 degrees

Now the remaining number of angles in the polygon will be n-6 with each of this equal to 200 degrees each

The total amount of the remaining angles will be 200(n-6) = 200n-1200

Now adding all the interior angles will give the sum of 180(n-2)

180(n-2) = 200n -1200 + 540

180n -360 = 200n -660

200n -180n = 660-360

20n = 300

n = 300/20

n = 15

Answer: 5 + 1/4G

Step-by-step explanation:

From the question, Phil starts with G gallons of gas in his tank and Phil used 3/4 of gas. This means:

G - 3/4 = 1/4G

He is left with 1/4G and and then fills the tank with 5 gallons. The expression that represents the amount of gas now in his tank will be:

= 1/4G + 5 or 5 + 1/4G

$10 a month fixed plus $0.10 for each message.  

Variable:

m - number of text messages per month

Function:

c(m) - cost per month in dollars of Text-Pay Plan for m messages

Answer: c(m) = 0.10 m + 10

The Frequent text plan costs $20 for 0 messages (that's the fixed cost) and has a slope of (30 - 20)/200 = 1/20 = 0.05 dollars per message.

f(m) = 0.05 m + 20

How many text messages per month make these equal?

c(m) = f(m)

0.10 m + 10 =  0.05 m + 20

0.10 m - 0.05 m = 20 - 10

0.05 m = 10

m =  10/0.05 = 200

Check:

c(200) = .1(200)+10 = 20+10 = 30

f(200) = .05(200) + 20 = 10 + 20 = 30, good

Answer: 200 messages

Answer:

[tex]\frac{1}{7}\,\,miles/minute[/tex]

Step-by-step explanation:

Given: Travis and Tony took 40 minutes to skate 5 miles and the return trip took them 30 minutes

To find: average speed for the trip

Solution:

Total distance = 5 + 5 = 10 miles

Total time = 40 + 30 = 70 minutes

So,

Average speed for the trip = Total distance/Total time = [tex]\frac{10}{70}=\frac{1}{7}[/tex] miles/minute

Dependent variable is the output value and the independent variable is the input value. So for y=5x-3, when you input x=3, the output is y=12.

y is the dependent variable.

x is the independent variable.

Answer:

15 (x+y)

Step-by-step explanation:

Multiply 6 with inside the parenthesis 6(2x+3y) ➡ 12x + 18y

Multiply 3 with inside the parenthesis 3(x-y) ➡ 3x - 3y

Now add them up

12x + 18y + 3x - 3y = 15x + 15y ➡ 15(x + y)

Answer:

6(2x+3y) + 3(x-y)

12x + 18y + 3x - 3y

15x + 15y

15(x + y)

Step-by-step explanation:

Answer:

80°

Step-by-step explanation:

Angle CBD = 100°

Angle ABC = 180° - 100° = 80°

Angles on a straight line add up to 180°.

Angle ABC and angle EFB are corresponding angles, so they are equal.

= 80°

Answer:

A) x = 80 degrees

B) <CBD = <BFH because of corresponding angles theorem. After that, To find the value of x, We subtract 100(The measure of <BFH) from 180 because x and <BFH were lying on a straight line.

Answer: The product of 85 and 25 is 2125 .

85x25 = 2125

Step-by-step explanation:

Answer: The answer is 1.5 cm

Step-by-step explanation:

According to the scale drawing and common sense the bottom side of the triangle is smaller than the left side so the only answer that is smaller than 2 cm is 1.5 cm.

Answer:

It would be between 12 and 13.

Step-by-step explanation:

What we must do is find the square root of 160 and then round to the smallest number and the largest number, in this way we will know what integer that root would be, then we have to:

(160) ^ (1/2) = 12.65

If we round to the smallest number it would be 12 and if we round to the largest number it would be 13.

Which means that it would be between 12 and 13.

Answer:

F(5) is the same as x = 5

Step-by-step explanation:

F(5) is just saying that the function of x is equal to 5