Find the measure of the interior angles.

Answer:

need this  anyone got it?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The system of linear equation 25.75x + 4.25y = 150 represents x and y as the number of backpacks and the number of notebooks.

In a system of the linear equation there exist if and only if the number of unknowns and the number of the equation is equal.

Total item purchased = 10

The cost of backpacks = $25.75

The cost of notebooks = $4.25

The total cost of the items is $150.

Let x be the number of backpacks and y be the number of notebooks so, the system of equations.

25.75x + 4.25y = 150

Therefore, the system of linear equation 25.75x + 4.25y = 150 represents x and y as the number of backpacks and the number of notebooks.

Learn more about linear equations;

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Step-by-step explanation:

the speed of the first ship is 20 mph

and the second ship is 15 mph

The speed of the ship that travelled North is 20 miles per hour and that of the ship that travelled East is 15 miles per hour.

Constant Speed:

'When the speed of an object remains the same - it does not increase or decrease - we say it is moving at a constant speed.'

According to the given problem,

Let the pirate ship that travelled north be A and the other ship that travelled east be B.

Since ship A went North which is upwards and ship B went east which is towards the right,

We can construct a right angled triangle with the perpendicular being the distance travelled by ship A and the base being the distance travelled by ship B.

It is given that after travelling for one hour, the ships are 25 miles apart.

Therefore we can consider the hypotenuse of the triangle to be 25 miles.

Now applying pythagoras theorem,

   Hypotenuse² = Perpendicular² + Base²

⇒ 25² = x² + ( x + 5 )²

⇒ 625 = x² + x² + 10x + 25

⇒ 2x² + 10x + 25 - 625 = 0

⇒ 2x² + 10x - 600 = 0

⇒ x² + 5x - 300 = 0

⇒ x² + 20x - 15x - 300 = 0

⇒ x( x + 20 ) - 15( x + 20) = 0

⇒ ( x + 20 )( x - 15 ) = 0

⇒ x = 15 , -20

Since, distance cannot be negative,

x = 15

Therefore Distance travelled by ship A = ( 15 + 5 ) miles

                                                                 = 20 miles

Time taken = 1 hour

Speed of ship A = [tex]\frac{Distance}{Time}[/tex]

                           = [tex]\frac{20}{1}[/tex] miles per hour

Distance travelled by ship B = 15 miles

Speed of ship B = [tex]\frac{15}{1}[/tex] miles per hour

Hence, after solving the problem, we can conclude that the speed of the ship travelling north is 20 miles per hour and the ship travelling east is 15 miles per hour.

Learn more about Constant Speed here:

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Answer:

∠ 1 = 94°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

130° is an exterior angle of the triangle, then

∠ 1 + 36° = 130° ( subtract 36° from both sides )

∠ 1 = 94°

Answer: 5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y = 1/4 × x - 2

x=8 => y=0. correct for B

x=12 => y= 1. correct for C

all other answer options fail for these 2 points.

Answer:

The answer is 22!!!!!!!

Answer:

22

Step-by-step explanation:

d – f

Let d = 7 and f = -15

7 - -15

7+15

22

Answer:

B. capacity.

Step-by-step explanation:

In this scenario, Mahak is measuring the maximum space inside a watering can. Thus, this is a measure of capacity because it gives the exact information as to the quantity of water the watering can hold at any given time.

Basically, the capacity of a container is a measure of the volume of fluid or any other substance that it is able to hold, which is typically measured in litres or cubic centimeters.

For example, if the shape of the watering can is cylindrical; its capacity (volume) would be measured using a mathematical expression.

Mathematically, the volume of a cylinder is given by the formula;

V = πr²h

Where;

Answer:

[tex]g(x) = |x-5|-4[/tex]

Step-by-step explanation:

[tex]f(x) = |x|\\\\g(x) = f(x-5)-4\\\\g(x) = |x-5|-4[/tex]

A)  [tex]-\sqrt{5}[/tex]

D)  [tex]\pi[/tex]

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

Explanation:

Choices B and C are rational because we can simplify them to form a fraction of integers.

[tex]-\sqrt{49} = -7 = -\frac{7}{1}[/tex]

[tex]\sqrt{0} = 0 = \frac{0}{1}[/tex]

Any rational number is of the form P/Q where P,Q are integers and Q is nonzero.

So we can rule out choices B and C.

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

Choice A on the other hand cannot be written as a fraction of integers. The 5 isn't a perfect square, which makes [tex]-\sqrt{5}[/tex] irrational.

The same can be said about [tex]\pi[/tex] which is roughly equal to 3.14; the decimal digits go on forever without a known pattern.

Choice A and choice D are the two answers.

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

If we know the pattern of the decimal digits, then we can turn the decimal number into a fraction of integers

The number -0.777, where the 7s go on forever, converts to the fraction -7/9

That means we rule out choice E.

Answer:

Length of AC = 23.75 unit

Step-by-step explanation:

Give that BD II CE

Length of AB = 10 unit

Length of AD = 16 unit

Length of DE = 22 unit

Find:

Length of AC

Computation:

Give that BD II CE

So,

AB / BC = AD / DE

AB / [AC - 10] = AD / DE

10 / [AC - 10] = 16 / 22

[10][22] = [AC - 10][16]

220 = 16AC - 160

16AC = 220 + 160

16AC = 380

AC = 23.75

Length of AC = 23.75 unit

Answer:

[tex] \dfrac{2x}{x + 7} [/tex]

Step-by-step explanation:

[tex] \dfrac{4x^2 - 16x}{2x^2 + 6x - 56} = [/tex]

Factor the numerator and denominator.

[tex]= \dfrac{4x(x - 4)}{2(x^2 + 3x - 28)}[/tex]

[tex]= \dfrac{4x(x - 4)}{2(x + 7)(x - 4)}[/tex]

[tex] = \dfrac{2x}{x + 7} [/tex]

Answer:

2915

Step-by-step explanation:

Answer:

5,2

Step-by-step explanation:

the difference between a and m is 1,1 so 1,1 subtracted from the mid point(M) would be 5,2

Answer:

The room is 19,5m long and 13m wide.

Step-by-step explanation:

1cm -> 6,5m

3cm -> 19,5m

2cm -> 13m

Answer:

Step-by-step explanation:

[tex]3x^2 -8x +5 = 5x^2\\\\5x^2 - 3x^2 + 8x -5 =0\\\\2x^2 +8x -5 = 0\\\\[/tex]

a = 2, b = 8, c = -5

[tex]x = \frac{-b \pm \sqrt{b^2 -4ac} }{2a}\\\\x = \frac{-8 \pm \sqrt{8^2 - ( 4 \times 2 \times (-5))} }{2 \times 2}\\\\x = \frac{-8 \pm \sqrt{64 +40} }{4}\\\\x = \frac{-8 + \sqrt{64 +40} }{4} \ , \ x = \frac{-8 - \sqrt{64 +40} }{4}\\\\x = \frac{-8 + \sqrt{104} }{4} \ , \ x = \frac{-8 - \sqrt{104} }{4}\\\\x = \frac{-8 + \sqrt{4 \times 26} }{4} \ , \ x = \frac{-8 - \sqrt{4 \times 26} }{4}\\\\x = \frac{-8 +2 \sqrt{26} }{4} \ , \ x = \frac{-8 - 2\sqrt{26} }{4}\\\\[/tex]

[tex]x = \frac{-4 + \sqrt{26} }{2} \ , \ x = \frac{-4 - \sqrt{26} }{2}[/tex]

Answer:

17 in.

Step-by-step explanation:

Some of the pizza will be ate multiply by 4 to get 17

Answer:

-8x+y=20

y=20+8x

-5x-y=6

-5x-(20+8x)=6

-5x-20-8x=6

-13x=6+20

-13x=26

-13x÷ -13=26÷ -13

x= -2

-8x+y=20

-8×(-2)+y=20

16+y=20

y=20-16

y=4

A) (-2,4)

Answer:

1) I and III

Step-by-step explanation:

The equation of an exponential function is given by:

y = abˣ

where x is an independent variable, y is a dependent variable, a is the initial value of y (that is value of y at x = 0), b is greater than 1 for an exponential growth while b < 1 for an exponential decay.

Given that x represent years and P(x) represent population. 2013 is represented by x= 0, hence:

At the year 2013 (x = 0), the population is 3810, hence a = 3810.

The equation becomes:

P(x) = 3810(b)ˣ

At 2014 (x = 1), the population is 3943. Hence:

3943 = 3810(b)¹

3810b = 3943

b = 1.035.

Therefore a = 3810, b = 1.035. The correct option is 1) I and III

Since b > 1, this is an exponential growth.

Answer:

C

Step-by-step explanation:

Answer:

the answer is cone.

Step-by-step explanation:

a p ex

Answer:

180

Step-by-step explanation:

Answer:

150 mins

Step-by-step explanation:

Answer:

150 minutes

Step-by-step explanation:

Step-by-step explanation:

[tex]\cos^{4} x - \sin^{4} x[/tex]

[tex]= ( \cos^{2} x + \sin^{2} x)( \cos^{2} x - \sin^{2} x)[/tex]

[tex] = (1 - \sin^{2} x + \sin^{2} x)( 1 - \sin^{2} x - \sin^{2} x)[/tex]

[tex] = 1 - 2\sin^{2} x[/tex]

Note: I replaced all cos^2x terms using the identity

[tex]\cos^{2} x = 1 - \sin^{2} x[/tex]

Answer:

2+2=4 and 4*4=16 16+2 = 18 so WOOSH your answer is now a legal adult

Step-by-step explanation:

d nuts

Answer:

408.4

Step-by-step explanation:

Answer:

The answer that is C

Step-by-step explanation:

The equation would be y=1/2x + 8 because the line touches the y-intercept at +8. The others would be incorrect as the line does not increase by a slop of 8/1 and/or is the y-intercept at -8.

Answer:

B is the answer.

Step-by-step explanation:

Given equations y + x = 5 and 5x + 5y = 25.

These equations have infinetely many solutions because they are equivalent.

This can be proven by the multiplicative property of equality and the commutative property of addition.

y + x = 5 → y × 5 + x × 5 = 5 × 5 [multiplicative property of equality] → 5y + 5x = 25 → [commutative property of addition] 5x + 5y = 25.