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Sarah's water bottle is full. If she drinks of her water, what fraction of her water bottle will she have left?

Hypotenuse-Leg (HL) Theorem. If the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two right triangles are congruent.

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Answer:

(4x - 3)(x + 1)

Step-by-step explanation:

=4x² + x - 3

=4x² + 4x - 3x - 3

=4x(x + 1 ) - 3( x + 1)

=(4x - 3)(x + 1)

Answer:

(5,15)

Step-by-step explanation:

Check x = 0,the P(x)=-225 : not an inequality solution

Check x = 10 to get -3*-5*5> 0 solutions in 5< x < 10

Check x = 20 to get -3*+5*+15<0 so no solutions in (15,+inf)

Ans: Profit for (5,15)

•Triangle 1

#Find CD first use tan formula

tan(∅) = opposite / adjuscent

tan(45) = CD / 5

CD = 5 × tan(45)

CD = 5

•Triangle 2

#Now you can find AC use Pythagoras theorem (c = AC)

a² + b² = c²

4² + 5² = c²

16 + 25 = c²

41 = c²

c = √41

c = 6.4

so, AC is 6.4

#Give me brainliest ok? im tired writing all of this

Answer:

[tex]a\geq 16[/tex]

Step-by-step explanation:

Let [tex]a[/tex] represents the age at which a person gets a student learner's permit to drive in New Jersey.

Also, an individual must be at least [tex]16[/tex] years old to get a student learner's permit to drive in New Jersey.

So, inequality is [tex]a\geq 16[/tex]

(Inequality explains a relationship of greater than or greater than or equal to or less than, or less than or equal to between two mathematical expressions)

Answer:

a triangle with the side measurements of 2, 3, and 5 inches

a triangle with the side measurements of 7, 8, and 16 inches

a triangle with the side measurements of 4, 4, and 8 inches

Step-by-step explanation:

A triangle is a polygon shape with three sides and three angles. There are different types of triangles such as isosceles triangle, scalene triangle, equilateral triangle and right angle triangle.

The triangle inequality theorem states that the sum of any two sides of a triangle is always greater than the third side.

For a triangle with the side measurements of 3, 4, and 6 inches:

3 + 4 > 6. This can be a triangle

For a triangle with the side measurements of 2, 3, and 5 inches:

2 + 3 is not greater than 5, hence it cannot be a triangle

For a triangle with the side measurements of 3, 3, and 4 inches:

3 + 3 > 4. This can be a triangle

For a triangle with the side measurements of 5, 5, and 5 inches

5 + 5 > 5. This can be a triangle

For a triangle with the side measurements of 4, 4, and 8 inches:

4 + 4 is not greater than 8, hence it cannot be a triangle

For a triangle with the side measurements of 7, 8, and 16 inches:

7 + 8 is not greater than 16, hence it cannot be a triangle

Answer:

Figure it out

Step-by-step explanation:

Answer:

I dont know ask someone else I just here for the points

Answer: -1/25 / -1/5 / 1/25

Step-by-step explanation:

Answer:

because this is a parallelogram

=> 3t - 15 = 2t + 10

⇔ t = 10 + 15

⇔ t = 25

with t = 25 => 3t - 15 = 3.25 - 15 = 60

we also have:

4r + (3t - 15) = 180°

⇔ 4r + 60° = 180°

⇒ 4r = 120°

⇔ r = 30

we also have;

4r = 3s

=> 4.30 = 3s

⇔ s = 4.10

⇔ s = 40

Step-by-step explanation:

You can use the fact that sum of all angles of a parallelogram is 360 degrees and the sum of two adjacent angles in a parallelogram is 180 degrees.

The value of the variables used in the figure are:

r = 30

s = 40

t = 25

[tex]4r + (3t - 15) + (2t + 10) + 3s = 360^\circ\\4r + 3s + 5t = 365[/tex]

And

[tex]3t - 15 + 4r = 180 \cdots (1)\\3t - 15 + 3s = 180\cdots (2)\\3s + 2t + 10 = 180\cdots (3)\\4r + 2t + 10 = 180\cdots (4)[/tex]

We get 2 systems of linear equations.

First system consists of equation 1 and equation 4

Second system consists of equation 2 and equation 3

From equation 1 and 4, as both's left side is equal to 180, thus they are equal too, or

[tex]3t - 15 + 4r = 4r + 2t + 10\\3t - 2t = 4r - 4r + 10 + 15\\t = 25[/tex]

Putting it in equation 1, we get:

[tex]3t - 15 + 4r = 180\\3 \times 25 + 4r = 180 + 15\\75 + 4r = 195\\\\r = \dfrac{195 - 75}{4} = 30[/tex]

Putting the value t = 25 in second equation, we get:

[tex]3t - 15 + 3s + 180\\3 \times 25 - 15 + 3s = 180\\60 + 3s = 180\\\\s = \dfrac{180 - 60}{3} = 40[/tex]

Thus, the values of the specified variables in the given graph are:

r = 30

s = 40

t = 25

Learn more about system of linear equations here:

: https://brainly.com/question/13722693

Answer:

Step-by-step explanation:

90(5/6)

450/6

75

9514 1404 393

Answer:

  75

Step-by-step explanation:

90 = 6 × 15

There are 15 6-day periods in 90 days. The gardener will have mowed ...

  15 × 5 = 75

times in those 15 periods.

He will mow 75 times in a 90-day period.

__

If you like, you can set up a proportion for the unknown number of mowings (m).

  mows/days = m/90 = 5/6

Multiply by 90 to solve for m.

  m = 90(5/6) = (90/6)(5) = 15(5) = 75 . . . . . . this should look like the above

Answer:

This is what it should look like:

Answer:

40%

Step-by-step explanation:

20-12 = 8 difference

8/ 20  x100 = the percentage change  = 40%

Answer:

All real numbers are solutions to this problem.

Step-by-step explanation:

I) Simplify:

2(x + 4) - 1 = 2x + 7

x + 4 - 0.5 = x + 3.5 (Divide by 2)

x + 3.5 = x + 3.5 (Simplify x + 4 - 0.5)

x = x

II) Conclusion:

Any real number will work as a solution.

Answer:

In case you have not gotten the answer yet it is the chart, -- 3,3,3,2,3,3,3

Step-by-step explanation:

I took the quiz

Answer:

65p

Step-by-step explanation:

uhhhh......

I am really confused

Answer:

x = 10

Step-by-step explanation:

Answer:

A  

0.8 foot × 1.2 feet

Step-by-step explanation:

Answer:

The roots of the quadratic equation  are  , .

Step-by-step explanation:

The roots of the quadratic equation  are  , .

Step-by-step explanation:

As given the equation in the form

Simplify the above equation

(x-2)-x = 3x × (x-2)

x-2 - x = 3x² - 6x

3x² - 6x + 2 = 0          

As the equation is written in the form ax² + bx + c = 0

a = 3 , b = -6 , c = 2

Put all the values in the above equation

Thus

Therefore the roots of the quadratic equation  are  , .

Answer:

x = {1/3, 0}

Step-by-step explanation:

Answer:

SI=P*T*R/100

=3000*1.4*30/100

=$1260

Account balance=3000+1260

=$4260

Answer:

Step-by-step explanation:

SI=P*T*R/100

P=3000

t=30

r=1.4%

I=PRT

=3000*1.4*30/100

=$1260

After 30 years?

interest plus current amount

Account balance=3000+1260

=$4260

Answer:

Top left

Step-by-step explanation:

Look at the numbers it's going through. The x axis is the one going side to side, y is up and down

Answer:

38 is pounds, 84 is kilograms, 6 is ounces, 170 is grams, 180 is gallons, 680 is liters, 29 is cubic meters, 1024 cubic feet. If right plz give brainliest.

Answer:

1.25 per min

Step-by-step explanation:

divide 5÷4 and you get 1.25 per min

Answer:

47

Step-by-step explanation:

Let's solve your equation step-by-step.

−4x−3(−44−23)=13

Step 1: Simplify both sides of the equation.

−4x+201=13

Step 2: Subtract 201 from both sides.

−4x+201−201=13−201

−4x=−188

Step 3: Divide both sides by -4.

−4x

−4

=

−188

−4

x=47

Answer:

Step-by-step explanation:

one point is (-2,5)

5y-25=-11x-22

11x+5y=25-22

11x+5y=3

5y=3-11x

[tex]y=\frac{3-11x}{5} \\x=-2,y=5\\x=3,y=-6\\[/tex]

so points are (-2,5) and (3,-6)

draw a line through these points.

Answer:

d=78

Step-by-step explanation:

so you would divide both sides of the equation by 2×2

d×4÷(2×2)=78×4÷(2×2) <- you would do this to get rid of 4 so you cna get the d alone

d=78×4÷(2×2) <- thats the other side of the equation btw

then it would be:

d=39×2

d=78