What is the median of 8 5 7 9 11 6?

Answer:

x = 7

Step-by-step explanation:

5(x + 5) = 10 x 6

5x + 25 = 60

5x = 35

x = 7

Answer:

3.) x = 4.5

4.) y = 7

Step-by-step explanation:

3 is an easier one than 4. By the triangle midsegment theorem, the midsegment of a triangle will be half of the base if it is parallel to it. AB is our base, so the equation is like this!

[tex]AB = 2(ED)\\9=2(ED)\\4.5=ED[/tex]

Now for 4, it actually is pretty easy. By the same triangle midsegment theorem, we automatically know that EC and EA are congruent, and CD and DB are also congruent. Meaning y equals 7.

But another way we can determine this (the long, kinda unecessary, but useful way) is through examining the relationship that triangles ABC and EDC have!  We know that they are similar triangles by SAS or AA. Meaning, their equation looks something like this...

[tex]4.5(7+y) = 9y\\31.5 + 4.5y = 9y\\31.5=4.5y\\7=y[/tex]

Like I said earlier, 7 is equal to y, but I figured I'd prove it so we are on the same page. Nothing wrong with double-checking ;)

Have a nice day. Feel free to Ask questions. Spread The Love.

9514 1404 393

Answer:

  no

Step-by-step explanation:

The dimensions will be those of a rectangular mirror if the diagonal measure is the hypotenuse of the right triangle with the given side lengths.

The Pythagorean theorem would require for some width w ...

  w^2 +24^2 = 30^2

  w^2 = 900 -576 = 324

  w = √324 = 18

A rectangular mirror with a length of 24 inches and a diagonal of 30 inches will have a width of 18 inches, not 16.

__

The attachment shows that a width of 16 inches is not consistent with a right-angle corner.

_____

Additional comment

If you reduce the given numbers to lowest terms by dividing them by 2, they become 8, 12, 15. That is, the two shortest sides are even and the longest is odd. Any set of integer dimensions for a right triangle must have an even number of odd numbers (0 or 2). These numbers cannot be a Pythagorean triple, so cannot make a right triangle.

Answer:

large popcorn: $8

small drink: $3.75

= $8 + $3.75

= $11.75

Answer:

$11.75d

Step-by-step explanation:

add 8.00 and 3.75

you get 11.75 since U don't know how much it is for the drink, then U put d 11.75 so when U find d, you'll know that U can add it with your sum.

Answer:B

Step-by-step explanation:

The equivalent expression is 8.

Option B is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

[tex](16^{3/2})^{1/2}[/tex]

This can be written as,

= [tex]16^{3/2 \times 1/2}[/tex]

= [tex]16^{3/4}[/tex] ______(1)

Now,

16 = [tex]2^4[/tex] ______(2)

Now,

From (1) and (2),

= [tex]2^{4 \times 3/4}[/tex]

= 2³

= 8

Thus,

The equivalent expression is 8.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

Answer:

Andrés tiene 15 años y Alex tiene 12 años.

Step-by-step explanation:

Como el enunciado dice que dentro de 3 años, la edad de Alex será la edad que tiene ahora Andrés puedes escribir una ecuación que indique que la edad de Andrés es igual a la edad de Alex más 3:

x=y+3, donde:

x es la edad de Andrés

y es la edad de Alex

Además, como se indica que dentro 9 años, la edad de Andrés será el doble de la edad que Alex tiene ahora puedes escribir una ecuación que indique que la edad de Andrés más 9 es igual a dos veces la edad de Alex:

x+9=2y

Ahora puedes reemplazar x=y+3 en x+9=2y y despejar y:

y+3+9=2y

12=2y-y

y=12

Finalmente, puedes reemplazar el valor de y en x=y+3 para encontrar el valor de x:

x=y+3

x=12+3

x=15

De acuerdo a esto, la respuesta es que Andrés tiene 15 años y Alex tiene 12 años.

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Hector took 1 hour and 25 mintues to finish the test. (D)!

Answer:

mean

Step-by-step explanation:

mean of six packages = (29+19+69+24+64+59)/6 = 44 ounces

Median of these six packages (19,24,29,59,64,69) = (29+59)/2 = 88/2= 44 ounces

Now, if we includes a package that weighs 219 ounces

The new mean = (29+19+69+24+64+59+219)/7 = 69

New median (19,24,29,59,64,69, 219) = 59

Hence, we say that the mean increases more than the median

Answer:

Line A

Step-by-step explanation:

Line A has a constant of proportionality (slope) of 4.

Answer:

D. no

Step-by-step explanation:

im pretty sure its d. no

Answer:

C

Step-by-step explanation:

75= to that equation

75-15=60/2=30

n=30

Answer:

Step-by-step explanation:

Answer:

The theoretical probability of spinning a sum of 9 is 4/36 or 1/9.

Step-by-step explanation:

Answer: 0%

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{4 centigrams = [blank] milligrams}[/tex]

[tex]\mathsf{4 \times \dfrac{10}{1}}[/tex]

[tex]\mathsf{= \dfrac{4}{1}\times\dfrac{10}{1}}[/tex]

[tex]\mathsf{=\dfrac{4\times10}{1\times1}}[/tex]

[tex]\mathsf{4\times10=\bf 40}\leftarrow\large\textsf{NUMERATOR}[/tex]

[tex]\mathsf{1\times1 = \bf 1}\leftarrow\large\textsf{DENOMINATOR}[/tex]

[tex]\mathsf{= \dfrac{40}{1}}[/tex]

[tex]\mathsf{\dfrac{40}{1}=40\div1=\bf 40}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: 4 centigrams = \huge\bf{40 milligrams}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

C

Step-by-step explanation:

A triangle is 180 degrees so 120+40 is 160

180-160=20

Answer:

Convert to a mixed number by placing the numbers to the right of the decimal over

1000000

. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

1154701/1000000

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

the ratio for saly is 4 out of 14. so 4/14 is 0.28571429. and if you multiply that by the total collected shirts which is 462, you get 132 :)))

Answer:

A.

Step-by-step explanation:

Divide 82 by 5.25 ([tex]5\frac{1}{4}[/tex] in decimal form). [tex]\frac{82}{5.25}=15.619047619047619047...[/tex], which can be rounded to 15.6 inches , so the answer is A. Hope this helps!

Answer:

∠ 2 = 70°

Step-by-step explanation:

∠ 2 and 70° are vertical angles and are congruent, then

∠ 2 = 70°

Answer:

YAY

Step-by-step explanation:

Answer:12

Step-by-step explanation:

np

Answer:

-3p^7 + 8p

Step-by-step explanation:

OPPOSITE: having a position on the other or further side of something; facing something, especially something of the same type.

Answer:

rectangular prism = cuboid

total surface area of a cuboid (tsa) = 2(lb+bh+hl)

l=length = 3cm

b=breadth = 6cm

h=height = 5cm

tsa = 2( 3*6 + 6*5 + 5*3 )

        2( 18 + 30 + 15 )

         2 * 63

       = 126 [tex]cm^{2}[/tex]

hope this answer helps you.....

Answer:

70°

Step-by-step explanation:

Sum of angles in a parallelogram is 360°

Opposite angles are equal

2(16x - 2) + 2(8x + 14) = 360°

32x - 4 + 16x + 28 = 360°

32x + 16x + 28 - 4 = 360°

48x + 24 = 360°

48x = 360 - 24

48x = 336

x = 7

m< E = 8x + 14

Substitute for x

= 8(7) + 14

= 56 + 14

= 70°

Answer:

13824 is the answer

Step-by-step explanation:

8*12*2*6*12

Answer:

Hexogen  

Step-by-step explanation: