An isosceles trapezoid is a quadrilateral with two congruent legs, a pair of parallel bases, and congruent base angles. Prove the diagonals of an isosceles trapezoid are congruent. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.

Answer:

x = 3,2

Step-by-step explanation:

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

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Answer:

x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

First we have to distinguish the whole numbers from the numbers with variables.

2x and 5x are numbers with variables, 6 and 0 are whole numbers.

Then we can seperate them on different sides of the equal sign.

To do this, we have to subtract 6 on the left side and add it to the right side.

Now our equation will be 2x - 5x = -6.

Now we can simplify this.

Starting on the left side, 2x - 5x equals to -3x.

The right side can not be simplified.

So, our equation will now be -3x = -6.

Now we can divide both sides together.

The easiest way to do this is by turning the equation into a fraction.

So it will be [tex]\frac{-3}{-6}[/tex].

Both equal signs cancel out, so the answer will be [tex]\frac{1}{2}[/tex].

Hope this helped :)

Hey!!

{12,13,25} is not a Pythagorean triple

please see the attached picture for full solution

hope it helps

Answer:

C)  x > - 1

Step-by-step explanation:

8(7 - x) < 64

56 - 8x < 64

56 - 64 < 8x

- 8 < 8x

- 1 < x

x > - 1

Answer:

The answer is c, or x > -1.

Step-by-step explanation:

Problem: 8(7-x) < 64

Distributive Property - So multiply 8 by both 7 and x individually

56 - 8x < 64

Subtract 56 from both sides

-8x<8

Divide both sides by 8 and flip the sign because whenever you divide or multiply an inequality by a negative number, you flip the sign.

x>-1

Hope that helped!

Answer:

b

Step-by-step explanation:

this is because 1 3/4 is equal to 7/4 which we can round to 2. so it says she rode back and forth to school so that would be 2 + 2  and she did that 5 times

this means that the final answer 5 * ( 2 + 2 )

Answer:

see below

Step-by-step explanation:

The possible outcomes of flipping 3 coins are:

HHH, HHT, HTT, TTT, HTH, THT, TTH, THH.

Out of these 8 there are 4 that will be successful so the probability is 4/8 = 1/2 or 50%.

50%

Answer and Explanation:

If you flip three fair coins, the probability that you'll get at least two heads is 4/8 or 0.50, which is 50%.

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Answer: [tex]6\pi +4[/tex]

Step-by-step explanation:

The normal formula for area of a circle is [tex]\pi r^2[/tex] so remember it. Itll be important for the rest of your life. Now this isnt a normal circle, this is a semi circle. So, you should divide by 2.

Three Semi-Circles:

We are given the radius which is 2 cm. [tex]\frac{\pi2^2 }{2} =2\pi[/tex]

Now we gotta multiply that answer by 3 because there are three semi circles.

[tex](2\pi )(3)=6\pi[/tex]

Area of a Square:

This is simple, do [tex]s^2[/tex] to get 4

Answer: 1/2

Step-by-step explanation:

The equation given is simplified into y= -2x-3. The slope being -2. When a line is perpendicular you find the opposite inverse. That being -1/2. You flip the top and bottem and top numbers of the fraction. Then make it (positive or negative) opposite of the original slope value. Making it now positive 1/2

Hey there! I'm happy to help!

The perimeter is all of the sides of a shape added up.

Since all of the sides on a square are the same and we know one side, we just multiply it by four.

2.59(4)=10.36

Therefore, the patio is about 10.56 meters.

I hope that this helps! :D

Answer:

The best estimate is 10. Trust me, I did this assessment too.

Step-by-step explanation:

2.59 x 4 = 10.36. So it's 10.

Answer:

Option C. 90.0 g glucose per 500 cm3 water

Step-by-step explanation:

1.00 M (mol/dm3) aqueous solution of glucose (C6H12O6) means that 1 mole of glucose is dissolved in 1dm³ (1000cm³) of water.

The concentration of a substance is defined as the mole of solute per unit volume of solvent (water) in dm³.

Option A is wrong since it state: 180g of C6H12O6 per 1000cm³ of solution. Concentration is always expressed as per 1000cm³ or dm³ of water.

For option B:

We shall determine the number of mole of C6H12O6, followed by the concentration.

This is illustrated below:

Molar mass of C6H12O6 = (12x6) + (12x1) + (16x6) = 180g/mol

Mass of C6H12O6 = 10g

Mole = Mass /Molar Mass

Mole of C6H12O6 = 10/180 = 0.056 mole.

Volume of water = 10cm³ = 10/1000 = 0.01dm³

Concentration = mole /Volume

Concentration = 0.056/0.01 = 5.6mol/dm³

Option B is wrong

For option C:

We shall determine the number of mole of C6H12O6, followed by the concentration.

This is illustrated below:

Molar mass of C6H12O6 = 180g/mol

Mass of C6H12O6 = 90g

Mole = Mass /Molar Mass

Mole of C6H12O6 = 90/180 = 0.5mole

Volume of water = 10cm³ = 500/1000 = 0.5dm³

Concentration = mole /Volume

Concentration = 0.5/0.5 = 1mol/dm³

Option C is correct.

For option D is wrong as well as it states 0.1g of C6H12O6 per cm³ of solution. Concentration is always per 1000cm³ or dm³ of water.

From the above illustrations, option C is the correct answer.

Answer:

Over the interval [2, 4], the local minimum is –8,Over the interval [1, 3], the local minimum is 0,and Over the interval [3, 5], the local maximum is 0.

Step-by-step explanation:

Answer:

B,C,D

Step-by-step explanation:

Answer:

76.58 feet.

Step-by-step explanation:

A yard is 3 feet. Change each value to feet. So then we have 2 pieces of rope that are each 48 feet in length, 1 piece of rope that is 4.17 feet in length, and 1 piece of rope that is 123.25 feet in length. Add these all together. 223.42 is what you get. Subtract this from 300. You get 76.58.

Answer:

132.25 feet

Step-by-step explanation:

total rope they have now= (2x16)+(1x12.5)+(1x123.25)= 167.75

additional rope needed= 300-167.75= 132.25

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

The angle in an equilateral triangle is given as:

3x + 12

The angle is an equilateral triangle is 60°. Therefore:

3x + 12 = 60

=> 3x = 60 - 12 = 48

x = 48 / 3 = 16

x is 16

Answer:

8 units to the right of line m

Step-by-step explanation:

when reflecting over a line, u count how many units is the pre-image away from the line in order to creat your image.

Answer:

4 units to the left of line m

Step-by-step explanation:

that's how I'm seeing it

Answer:

Right isosceles

Step-by-step explanation:

We have a right angle so the triangle is a right triangle

We have two sides that are equal so it is an isosceles triangle

Answer:

It is more efficient to use order of operations because with the distributive property, you would have to multiply four times and add once (5 things to do), whereas with order of operations, you have to add twice and multiply twice (4 things to do).

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

There is 2 of the same number on the Y

Answer:

  (5, 8), (7, 1), (15, 3)

Step-by-step explanation:

a) The variables are defined in the problem statement. The total expenditure must satisfy ...

  2.00x +3.50y ≤ 42.00

b) Possible solutions include ...

 (x, y) ∈ {(5, 8), (7, 1), (15, 3)}

__

These were chosen by looking at the attached graph of the equation.

Human:

✧･ﾟ: *✧･ﾟ:*  Answer:  *:･ﾟ✧*:･ﾟ✧

✅ D.) 6.3.7.9. 9.5, 8.3, 8.1, 9.0, 6.7.8.6, 9.1, 8.4, 8.1, 6.9. 8.3, 9.2

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~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡

~

Answer:

3x^3+2x^2y^2-4xy

Step-by-step explanation:

You should Photomath really good for math problems

Answer:

72

Step-by-step explanation:

Since the triangle's area is 240, the base * height must equal 480 because for the area of a triangle it is half of that. Since you know that the base AC = 20, find out what you can multiply by 20 to get 480. This gives you a result of 24. Now that the height is found divide the triangle into two right triangles. Now Just use the pythagorean theorem to find the legs of the triangles. AB = BC = 26. 26 + 26 + 20 = 72 which is the perimeter.  

The Perimeter of triangle ABC is 72 unit

Isosceles triangles are those triangles that have at least two sides of equal measure. We know that triangles are three-sided enclosed polygons and they are classified as equilateral, isosceles, and scalene, based on the length of their sides. In this article, we will learn about the definition of an isosceles triangle and its properties.

We have

AC = 20 unit

Area of triangle {ABC} = 240 unit square

AB = BC

draw the altitude to AC, let’s call it BD (Construction)

Now,

we know the area of triangle = 1/2 × AC × BD

240 = 1/2 × 20 × BD

BD = 240 × 2/20

BD = 24 unit

AD=CD (Altitude to base of isosceles triangle)

2AD=AC

2AD=20

AD=10 (Parts-Whole Postulate, substitution)

in ∠ABC using Pythagorean theorem

[tex]AD^{2}[/tex] + [tex]BD^{2}[/tex] = [tex]AB^{2}[/tex]

[tex]AB^{2}[/tex] = [tex]10^{2}[/tex] + [tex]24^{2}[/tex]

AB = [tex]\sqrt{100 + 576}[/tex]

AB = [tex]\sqrt{676}[/tex]

AB=26

AB=BC=26 (Definition of Isosceles Triangle)

AC = 20

Perimeter of triangle ABC = AB+BC+AC (definition of Perimeter)

Perimeter of triangle ABC = 26 + 26 +20

Perimeter of triangle ABC = 72 unit

To learn more about isosceles triangle from here

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Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

lets find the volume of a go math book

V=LWH

V=10.75*8.5*1

V=10.75*8.5

V=91.375 inches^3

the amount of Go Math books that can fit in tier 1 is

(tier 1's volume)/91.375

then , round to the smallest whole number

(how many whole books you can fit in

I don't know tier 1's dimensions or volume, so I can't tel how many books exactly.

Answer: A; The prepaid phone plan will have a steeper line and lower y-intercept.

"The prepaid phone plan, whose cost is $0.20 per minute, will means the usage increases as time increases means that this will have a steeper line and lower y-intercept since it has no monthly fee, Contracted phone plan, whose fee is still $0.02 would have a less steep line and a higher y-intercept because the plan requires monthly fee of $50."

Hope this helps

-Carrie

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A. The prepaid phone plan will have a steeper line and lower y-intercept.

Grace is comparing plans of cell phone.

A prepaid phone plan costs $0.20 per minute and has no monthly fee.

A contracted phone plan costs $50 per month and $0.20 per minute

Time increases as usage of the prepaid phone increases, which cost $0.20 per minute. So, the line will be steeper. There is no monthly plan in prepaid phone, so lower y-intercept seen in the graph.

The cost of contracted phone is $0.20 per minute, so the line is less steeper. Again, contracted phone has monthly plan of $50 per month, so the y intercept will be higher.

Learn more about graph here :

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Answer:

7

Step-by-step explanation:

4-(-3)=4+3 (negative times negative is positive)

4+3=7

Hope that helps!

Answer:

no solution

Step-by-step explanation:

2x-y=7. value of y=2x+3

(insert the value of y in the first equation)

2x-(2x+3)=7

2x-2x=7-3

(2x-2x is non-existent thus the equation ends there)

Answer:

No Solution is the answer

Step-by-step explanation:

There is no way to solve this

Step-by-step explanation:

The perfect square numbers between 100 and 200 are :

10^2 =100

11^2 =121

12^2 =144

13^2 =169

14^2 =196

Answer: 1st is reflexive

Step-by-step explanation:

Answer:

If x is greater than 0, then y is greater than x

For example:

x = 2 => y = 4(2) = 8, 8 > 2

x = 3 => y = 4(3) = 12, 12 > 3

If x is = 0, then y is equal to x, because x = 0 => y = 4x = 4(0) = 0 => x = y = 0

If x is less than 0, then y is smaller than x

For example:

x = -2 => y = 4(-2) = -8, -8 < -2

x = -3 => y = 4(-3) = -12, -12 < -3

Hope this helps!