Why must trapezoids be congruent

Answers

Answer 1
The diagonals of a trapezoid are only congruent (have the same length) if the trapezoid is an isosceles trapezoid.

Related Questions

3.
A gardenar wishes to plant 6096 plants in the form of a square and found that there
were 12 plants left. How many plants were planted in each row.

Answers

Answer:  78

Step-by-step explanation:

x² + 12 = 6096

       x² = 6084

    [tex]\sqrt{x^2}=\sqrt{6084}[/tex]

        x = 78

What is the largest multiple of 17 which is less than 1000?

Answers

It is 85. 5x17= 85. Next one is 102

Z= pi^3h, solve for h

Answers

Answer:

Z/ pi^3 = h

Step-by-step explanation:

Z= pi^3h

Divide each side by pi ^3

Z/ pi ^3= pi^3h/pi ^3

Z/ pi^3 = h

help please urgent!!!! 10 points

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ First you need to know the area of a triangle:

  ✧ ½ x b x h

✦ Now write you formula out:

  ✧ ½ x 5 x 4

   

✦ Now just solve:

  ✧ 5 x 4 = 20

  ✧ 20 / ½ = 10

So it'd be 10 m²

~Hope this helps Mate. If you need anything feel free to message me.

George was building a staircase for his dog to get up on his bed. The first step is made from 2 boards, the second out of 4 boards, and the third out of 6 boards. There are 8 steps in the staircase. How many boards did George use to create the last step? A 10 B 12 C 16 D 24

Answers

C 16 is the answer

you have to add 2 at each step so 2x8= 16

Answer: C

Step-by-step explanation: I am a big brain pro.

if you see this I really need help on this question asap ty so much... "The flagpole in the diagram below has a height of 10ft. The shadow is 12 feet long. What is the distance from the top of the flagpole to the far end of its shadow? (round your answer to the nearest hundredths)"

Answers

Answer:

15.62 feet

Step-by-step explanation:

If the flagpole is 10ft tall and the shadow is 12ft long, and you need to find the distance from the top of the flagpole to the far end of the shadow, to get your answer, you must use the pythagorean theorum.

[tex]a^{2} + b^{2} = c^{2}[/tex]

let height of flagpole = a

let length of shadow = b

let distance between the two = c

[tex]10^{2} + 12^{2} = c^{2} \\100 + 144 = c^{2}\\244 = c^{2}\\\sqrt{244} = \sqrt{c^{2}} \\\sqrt{244} = c\\15.62 = c[/tex]

Find the circumference of a circle whose diameter is 20 mm. *Plz explain your answer*

Answers

Answer:

The circumference is 62.8.

Step-by-step explanation:

Find the diameter (in this case, 20mm)Multiply the diameter by 3.14, or pi. (Pi can be a different number depending on the problem but 3.14 is the most used one)The product of the diameter multiplied by Pi is the circumference of the circle!

if a=120 degrees find the measures of b,c, and d

Answers

Answer:

<b=120°,<c=60° & <d=60°

Step-by-step explanation:

Here,

given that <a=120°

<a is vertically opposite to <b

We know,vertically oppposite angles are equal

So,<a=<b=120°

<a & <c lies on a straight angle.

So,<c=180°-120° (Sum of two angles on a straight angle is 180°)

     <c=60°

Again,<c is vertically opposite to <d.

So,<d=60°.

lou thinks the expression 27x^3-64 factors to (3x-4) (9x^2+12x+16). is he correct? How can you check his work? Show all work to justify your thinking.

Answers

Answer:

Step-by-step explanation:

(a³ - b³) = (a - b) (a² + ab + b²)

27x³ - 64 = 3³x³ - 4³

               = (3x)³ - 4³   {a = 3x & b= 4)

Substitute in the above formula.

               = (3x -4)([3x]² + 3x*4 + 4²)

              = (3x - 4)(9x² + 12x + 16)

The expression 27x^3-64 factors to (3x-4) (9x^2+12x+16).

Which term describes this figure?

Answers

Answer:

its a angle

Step-by-step explanation:

I Really need help on this question if anybody can tell me what the answer is that would be nice I only have a few minutes :/

Answers

Answer:uuuu idk

Step-by-step explanation:

Answer:

B or the second answer

Step-by-step explanation:

If you change the denominator for all 4 fractions, then you will get that denominator. After that you will multiply how you got that denominator from the beggining denominator. And that’s how i did it.

Frankie bought a new computer. He made an initial payment of $50 to the store, and he will pay $30 each month until the computer is paid
off. Which equation represents the relationship between m, the number of
monthly payments Frankie has made, and t, the total amount
that Frankie has paid the store?

Answers

Answer:

t = 30m+50

Step-by-step explanation:

Answer:

T = 30m + 50

Step-by-step explanation:

Is 7.525225222....... rational or irrational ?

Answers

Answer:

It is irrational

Step-by-step explanation:

7.525225222....... is non terminating non reoccurring

Therefore it is irrational

What is?
10 = Z +6
and why is it?​

Answers

Answer:

4

Step-by-step explanation:

10=z+6 <subtract six to each side

4=z

Answer:

4

Step-by-step explanation:

well you got 10 = Z+6 right.. so subract 6 from 10 what do you get, you get 4 so that is th reason Z is 4

Hope I answered ur question

BC has one endpoint
B(3,2) and a midpoint
T(6,-2). Find the
coordinates of the
other endpoint, C.

Thank you in advance!!

Answers

Answer:

Step-by-step explanation:

(3 + x)/2 = 6

3 + x = 12

x = 9

(2 + y)/2 = -2

2 + y = -4

y = -6

(9, -6) the other endpoint C

Identify the domain and range of the relation {(-5, 4, (-4, -1), (-2, 1), (0, 4), (1, 3)

Answers

Answer:

Domain: -5. -4, -2, 0, 1

Range: 4, -1, 1, 3

Solve the right triangle. Side AB is 2.9, but I don't know how to find two missing angles with three sides and a 90-degree angle. Please explain your answer.

Answers

Answer: Choice (a) in the upper left corner

Angle A = 68 degrees

Angle B = 22 degrees

Side AB = 2.9 cm

The three values are approximate

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

Explanation:

a = BC = 2.7 and b = AC = 1.1 are the two legs of the right triangle.

Use the pythagorean theorem to find the length of the hypotenuse

a^2 + b^2 = c^2

2.7^2 + 1.1^2 = c^2

8.5 = c^2

c^2 = 8.5

c = sqrt(8.5)

c = 2.91547594742266

c = 2.9

The hypotenuse is c = AB = 2.9

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

We then use trig ratios to find the two missing angles.

Let's say we ignore the hypotenuse and focus on the two legs of the triangle.

With respect to reference angle A, side BC is opposite and AC is adjacent

Use the tangent ratio to get

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = 2.7/1.1

tan(A) = 2.45454545454546

A = arctan(2.45454545454546)

A = 67.8336541779176

A = 68

Note: arctan is the same as inverse tangent or [tex]\tan^{-1}[/tex]. Make sure your calculator is in degree mode.

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

Similarly,

tan(angle) = opposite/adjacent

tan(B) = AC/BC

tan(B) = 1.1/2.7

tan(B) = 0.4074074074074

B = arctan(0.4074074074074)

B = 22.166345822082

B = 22

Or you could use the value of A to get B = 90-A = 90-68 = 22. This works because A+B = 90 as we're working with a right triangle. In other words, A and B are complementary angles.

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

In summary we found

A = 68

B = 22

AB = 2.9

A real estate agent's base salary is 22,000 per year. The agent earns a 4% comission on total sales. How much must the agent sell to earn 60,000 in one year

Answers

Answer: 950,000

Step-by-step explanation:

base salary is 22,000

Target 60,000

60,000-22,000 =38,000 which is 4%

So 38,000/4 = 9,500 which is 1%

So 9,500 * 100 = 950,000 which is 100% total sale

So commission of 4% on 950,000 is 38,000

Therefore 38,000 + 22,000 = 60,000

chris is investing how long it takes his dog to react to different sounds. What is the independent variable?

Answers

I’m pretty sure it’s the different sounds

If f(x)=4x-1 and g(x)=1-3x. What is the value of f(g(-2))? a) 26 b) -29 c) 25 d) 24

Answers

Answer:

27

Step-by-step explanation:

This isn't one of your answer choices though.

Write 0.36 Repeating as a fraction in simplest form

Answers

Answer:

The answer would be 4/11

4/11 is the right answer

Help me with this. Am just bad with this

Answers

Answer:

0.36  

or

Step-by-step explanation:

Help me I need this fast!!

Answers

I only know what the first one is
Statement is / /_1 and /_2 are supplements , /_3 and /_4 are supplements and /_1 ~= /_4
Reason is given
Hope this helps a little

15+9=?(5+3) please help

Answers

Answer:

3

because 15 + 9 = 24

and 3(5 + 3) which is 3 * 5 + 3 * 3 = 15 + 9 = 24

= 24 = 24

Step-by-step explanation:

Please mark me as the brainliest

if a number is negative, then its opposite will be:​

Answers

Answer:

the opposite of a negative number is positive.

Step-by-step explanation:

Negative numbers are numbers that are less than 0. The opposite of a positive number is negative, and the opposite of a negative number is positive. Since the opposite of 0 is 0 (which is neither positive nor negative), then 0 = 0.

The equation 5 (3w - 4) = -3(3+ 2w) has
solution(s).

Answers

Answer:

w= 1.2

Step-by-step explanation:

Which of the following has the value of 4

Answers

infinite sequences of arithmetic expressions can have a value of 4

Step-by-step explanation:

infinite sequences of arithmetic expressions can have a value of 4

Convert 4,700,000,000 from standard form to scientific notation. 470 × 107 47 × 108 4.7 × 109 478

Answers

Answer:

4.7 * 10 ^9

Step-by-step explanation:

4,700,000,000

Scientific notation is of the form

a * 10 ^b  where a is a number between 1 and less than 10

Move the decimal so that it is a number between 1 and less than 10

4,700,000,000  becomes 4.700000000  and we moved the decimal 9 places to the left  b is +9  ( positive because we moved to the left)  We can drop the extraneous zeros

4.7 * 10 ^9

If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of D' be?

Answers

(4,0), go right 3 and down 2

After a translation (x+3, y-2)  the coordinates of D' be  (4, 0).

What is a trapezoid?

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.

From the given figure of this trapezoid in a coordinate plane, the points of D is (1, 2).

Now, If this trapezoid is moved through the translation (x + 3, y - 2) the coordinates of D' will be (1 + 3, 2 - 0) ⇒ (4, 0).

learn more about translation here :

https://brainly.com/question/17592356

#SPJ5

NEED ANSWER ASAP!!! PLEASE

Answers

Answer:

8

Step-by-step explanation:

find the value of x.

x+7+9=3x-6

x+16=3x-6

10=2x

x=5

plug into the equation for ST.

x+3

5+3 = 8

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