Find the missing length in the trapezoid and explain how to get it

Answer:

first find the length of trangel using

h^2=p^2+b^2

Equivalent expression for the missing side length of a rectangle is [tex]\sqrt{60} x[/tex]

The missing side length when x =3 is 23.2 inch

In a rectangle , opposite sides are equal . The vertex of rectangle is right angle . The diagonal of rectangle forms a right angle triangle.

Given the width of the triangle is 2x. The diagonal of triangle is 8x inches

Let 'L' be the length of the rectangle

To find out the expression for the length of the triangle use pythagorean theorem

hypotenuse ^2=length ^2 + width ^2

[tex](8x)^2=L^2+(2x)^2\\64x^2+4x^2+L^2\\64x^2-4x^2=L^2\\60x^2=L^2\\L =\sqrt{60x^2}\\ L=\sqrt{60}x[/tex]

An equivalent expression for the missing side length of a rectangle

[tex]\sqrt{60} x[/tex]

find the missing side length when x=3

Substitute 3 for x

[tex]L= \sqrt{60} x\\L =\sqrt{60}(3)\\L= 23.2 inch[/tex]

Equivalent expression for the missing side length of a rectangle is [tex]\sqrt{60} x[/tex]

The missing side length when x =3 is 23.2 inch

Learn more information about 'Rectangle ' here

brainly.com/question/23008020

Answer:

68 miles per hour

Step-by-step explanation:

170÷2.5=68

Answer:

x=31

Step-by-step explanation:

2x+4x-6=180

6x=180+6

6x=186

x=31

Answer:

x = 31

Step-by-step explanation:

2x and 4x - 6 are alternate angles and supplementary, sum to 180°, then

2x + 4x - 6 = 180

6x - 6 = 180 ( add 6 to both sides )

6x = 186 ( divide both sides by 6 )

x = 31

Answer:

This is not a real question rephrase

Step-by-step explanation:

no way i can do math like that

Answer:

$720

Step-by-step explanation:

Answer:

2x

Step-by-step explanation:

To combine like terms you must have a variable in both numbers. 3x-x is the same thing as 3x-1x. You combine and you get 2x. Hopefully that helps you out :)

Answer:

3,2.5, and 0.5

Step-by-step explanation:

3 + 2.5 = 5.5 and if you need the answer to be 6 then add 0.5

Answer:

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Step-by-step explanation:

bob is life

bob is food

bob is bob

Answer:

2 fancy shirts

5 plain

Step-by-step explanation:

2 fancy- 70$

5plain- 50$

50+70=120

Answer:

she bought 2 fancy shirts, and 5 plain shrits.

Step-by-step explanation:

$35×2=$70 (for the fancy shirts so she bought 2 fancy shirts)

Now, we have 5 shirts left that she bought so they must be plain shirts. to check, we would multiply $10×5=$50, then we would add $70(from the fancy shirts) and $50 (from the plain shirts) and get a total of $120.

I hope this helps!

Step-by-step explanation:

[tex] \frac{60}{100} \times x = 21 \\ x = \frac{21}{ \frac{60}{100} } = 35 \\ [/tex]

Answer:

18 by 36 cm

Step-by-step explanation:

one cm represents one meter

Answer:

Step-by-step explanation:

Simplify the equation first:

8x+56=0

-56 on both sides

8x=-56

-56/8=-7

That's your answer: -7

Answer: the answer is $60

Step-by-step explanation: hop this helps :)

they right give them brain ^

Answer

The answer is 32

Step-by-step explanation:

32/8=4

Answer:

b = 32

Step-by-step explanation:

b/8 = 4

Multiply each side by 8

b/8 * 8 = 4*8

b = 32

Answer:

i = -7/12

Step-by-step explanation:

(-3/4 + 4/3) + i = 0

(-9/12 + 16/12) + i = 0

7/12 + i = 0

i = -7/12

Answer:

0.27

0.18

0.21

60 packes because it costs 18 cents per pack and others are higher cost than that.

Step-by-step explanation:

5.49/20=027

10.97/60=0.18

18.95/90=0.21

so the best value will be box of 60 packs

Answer:

33/4

Step-by-step explanation:

4 1/2=9/2

3 3/4=15/4

9/2+15/4=18/4+15/4=33/4

Answer:

3.14d > 50 cm

Step-by-step explanation:

Given that the circumference of a circle is approximately 3.14 times the length of its diameter

If the circumference is C and the length of the diameter is d then

C = 3.14d

If the circumference of a circle is more than 50 cm then

3.14d > 50

The  inequality can be used to find all possible diameter lengths, d,

d > 50/3.14

d > 15.92cm

Answer:

para 10 dias

Step-by-step explanation:

espero te sirva

Answer:

14 points.

Step-by-step explanation:

To solve this problem, let's make an equation.

Let x represent the unknown number, or the amount of points Andre scored.

We know that Noah scored 10 points.

Noah scored twice as many points as Diego, therefore Diego must've scored 5 points, because 5 * 2 = 10.

So, if Diego scored 9 points less than Andre, and we know that Diego scored 5 points, then the equation we are left with is

x - 9 = 5

To solve, just add 9 to both sides.

x - 9 + 9 = 5 + 9

We are left with:

x = 14

So, Andre scored 14 points.

I would appreciate brainliest, if not that's ok!

Answer:

Step-by-step explanation:

5 x 5

Answer:

5400

Step-by-step explanation:

Given data

P= 5000

r= 8%

t= 1 year

The simple interest expression is given as

A= P(1+rt)

Required

The final amount A

substitute

A= 5000(1+0.08*1)

A= 5000*1.08

A= 5400

Hence the final amount 5400

[tex]\sf \longmapsto \: x^2=100[/tex]

[tex]\sf \longmapsto \: x=± \sqrt{100} [/tex]

[tex]\sf \longmapsto \: x = 10[/tex]

OR

[tex]\sf \longmapsto \: x = - 10[/tex]

Answer:

Its a half page per minute, 15 is half of 30, so it takes 2 minutes to read a page, so they read half a page a minute.

Answer: 2 pages per min

Step-by-step explanation: if they can read 15 pages in 30 min then they will read 2 pages every min

Answer:

:)

Step-by-step explanation:

It would cost $150 for a party of 9 people and it would cost $260 for 20 people