find the length of the median and the missing base. Be sure to show all your work. NO LINKS!!!​

Find The Length Of The Median And The Missing Base. Be Sure To Show All Your Work. NO LINKS!!!

Answers

Answer 1

Answer:

The bottom is  11

The median is  12

Step-by-step explanation:

The median is the average of the top and bottom

(13+ 2x-3) /2 = 4x-16

Combine like terms

(10+2x)/2 = 4x-16

Divide by 2

5+x = 4x-16

Subtract x from each side

5+x-x = 4x-16-x

5 = 3x-16

Add 16 to each side

5+16 = 3x-16+16

21 = 3x

Divide by 3

21/3 = 3x/3

7 =x

The bottom is 2x-3 = 2*7-3 = 14-3 = 11

The median is 4x-16 = 4*7-16 = 28 -16 = 12

Answer 2

Answer:

YZ =  12, ML = 11

Step-by-step explanation:

The median is half the sum of the parallel bases, that is

YZ = [tex]\frac{KN+LM}{2}[/tex]

4x - 16 = [tex]\frac{13+2x-3}{2}[/tex] ( multiply both sides by 2 to clear the fraction )

8x - 32 = 10 + 2x ( subtract 2x from both sides )

6x - 32 = 10 ( add 32 to both sides )

6x = 42 ( divide both sides by 6 )

x = 7

Then

YZ = 4x - 16 = 4(7) - 16 = 28 - 16 = 12

ML = 2x - 3 = 2(7) - 3 = 14 - 3 = 11


Related Questions

what is the volume of a rectangle prism that is 1 1/2 inches by 2 1/4 inches by 4 inches?

Answers

Answer:

13.5 inches

Step-by-step explanation:

11.5 x 2.25 x 4

I could be wrong

Answer:

13.5 inches is correct :)

Graph the image of this triangle after a dilation with a scale factor 1/2 centered origin

Answers

i dont know this questions

I really need help on this any help ?!?!? Extra points!?

Answers

Answer:

circumference = 2πr

diameter = 3ft, so radius =3/2 =1.5

                       =2π ×1.5=3π= 9.42ft

Answer:

here diameter =3 ft

radius=diameter/2

=3/2

=1.5 ft

now use formula 2 pie r where pie =3.14

=2*3.14*1.5 ft

=9.42 ft

Step-by-step explanation:

Hope this helps u!!

Please help
NO LINKS!
24 on the left, 20 on top, 14 on right and bottom.

Answers

Answer:

Volume:

First lets find the height of the triangle:

14 divided by 2 = 7

7 is now your base since we split it apart into two right triangles.

24^2 + 7^2 = 625

625: 25^2 = 225 perfect!

25 is now your height:

25 x 14 = 350, 350 divided by 2 (x 1/2) = 175(area of triangle)

175(area of triangle) x 20(width) = 2100, around 3500 m^3

PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE

Answers

Answer:

The volume of the pyramid is 126in^3

Step-by-step explanation:

To find the volume of a pyramid you need to use this formula which is

V=lw·h/3

V=9·6·7/3

V=54·7/3

V=126in^3

Does the equation y = 2(1/2)x represent exponential growth or decay

Answers

Answer:

Growth.

Step-by-step explanation:

y = 2(1/2)x is the same as y = x. as it multiplies and divides x by 2. y = x is exponential growth.

Hope that this helps!

L.C.M of 4 and multiples of 4 and 8

Answers

L.C.M of 4 and 8 is 8. hope this helps!
Least Common Multiple (LCM) of 4 and 8 is 8.

please help me with 1 to 4!! <33

Answers

if you meant to put a link there is none

By the age of 2 a child is about 50% of his adult height how tall was a two year old who's adult height is 6 feet and 2 inches

Answers

Answer:

3 ft 1 in

Step-by-step explanation:

6 ft 2 inches comes to 74 inches.

50% of that is 37 inches, or 3 ft 1 in

the percent of fat calories that a person in america consumes each day is normally disributed with a mean of about 36 and a standard deviation of about ten. suppose that 16 indivduals are randomly chosen. true or false: the random variable is defined as the average percent of fat caories consumed each day by a person in america.

Answers

Answer:

True

Step-by-step explanation:

Given that

The mean is 36

And, the standard deviation is 10

We take the sample of 16 individuals and the same would be randomly chosen

We need to find out that whether the given statement is true or false

So,

The given statement is true as the random variable means the average percent that could be consumed each day by a person

-7 2/3 + ( - 5 1/2) + 8 3/4 =

Answers

Answer:

-53/12

Step-by-step explanation:

-7 2/3=-23/3

-5 1/2=-11/2

8 3/4=35/4

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

-23/3+(-11/2)+35/4

-23/3-11/2+35/4

-92/12-66/12+105/12

-53/12

Answer:

- 4 5/12

Step-by-step explanation:

- 7 2/3 + (-5 1/2) + 8 3/4

-7 2/3 - 5 1/2 + 8 3/4

-7 4/6 - 5 3/6 + 8 3/4

-13 1/6 + 8 3/4

-13 2/12 + 8 9/12 = -4 5/12

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Jenny's mom is 33 years old. What percent of Jenny's mother's age Is Jenny's great-grandmother's age 90?​

Answers

Answer:

answer: 36.67

Hope that helps!

Answer:

[tex]36\frac{2}{3}[/tex] %

Step-by-step explanation:

[tex]\frac{33}{90}: \frac{y}{100}[/tex]

y · 90 = 33 · 100

90y = 3300

90y ÷ 90 = 3300 ÷ 90

[tex]y=36\frac{2}{3}%[/tex]

help please..............

Answers

Answer:

19.4 in.

Step-by-step explanation:

travis buys a new baseball cap for $25. the tax rate is 8%.how much money does travis spend in all on the cap?

Answers

Answer: $2

Step-by-step explanation:

.pl.help meerrrrreeeeee​

Answers

they are website explaining this so you can grasp I will share the link

Find the volume of the solid obtained by rotating the region under the graph of the function f(x)=5x−x2 about the x-axis over the interval [0,5].

V=?

Answers

Trade for trade here The Meaning of Freedom in the United States
Between the 1860s and the 1920s
In this essay, you are going to explain how the meaning of freedom changed from the Civil War until the
Roaring Twenties.
Your essay should at least include the following:
• Introductory Paragraph: Briefly state how you think the meaning of freedom changed during this
period.
• Body Paragraph 1: What did freedom mean to the slaves freed after the Civil War? (Unit 1)
• Body Paragraph 2: What did freedom mean to Native Americans at the end of the 19th century?
(Unit 2)
• Body Paragraph 3: What did freedom mean to women in the Suffrage Movement? (Unit 4)
• Additional Paragraphs: Add other historical examples. Optional
. Concluding Paragraph: Summarize your argument. Was there an expansion in freedom during
this period? What groups gained more freedom? What obstacles remained?
Provide a title to your essay and then write at least five paragraphs.
V= help me...

Find the perimeter of an
octagon with each side
measuring 9 cm.?

Answers


9(the measurement of each side)x8(the amount of sides)=72
Answer 72cm

The student health clinic reports that only 30% of students got a flu shot this year. If a researcher surveys a sample of n=84 students attending a basketball game, what is the probability that any individual student has a flu shot? What is the probability that more than 30 students have had flu shots? What is the probability that 20 or fewer students have had shots?

Answers

Answer:

a) probability that any individual student has a flu shot is  0.30

b) The probability that more than 30 students have had flu shots is 0.1038

c) the probability that 20 or fewer students have had shots is 0.1314

Step-by-step explanation:

Given the data in the question;

Number of students n = 84

student health clinic reports that only 30% of students got a flu shot this year;

p = 30% = 0.30

now,

pn = 0.30 × 84 = 25.2 ( > 10 )

qn = (1-p)n = (1-0.30)84 = 0.70 × 84 = 58.8  ( > 10 )

Criterion for approximation of the binomial distribution is satisfied since both pn and qn are greater than 10.

hence, Normal distribution will have;

mean μ = np = 0.30 × 84 = 25.2

standard deviation σ = √( npq )

= √( 84 × 0.30 × 0.70 )

= √17.64

standard deviation σ = 4.2

a) the probability that any individual student has a flu shot

student health clinic reports that only 30% of students got a flu shot this year

p = 30% = 0.30

Therefore, probability that any individual student has a flu shot is  0.30

b) The probability that more than 30 students have had flu shots

P(X > 30)

we use real time limits to determine probability from binomial distribution,

hence upper limit will be 30.5

Z = (X - np) / √( npq )

Z = ( 30.5 - 25.2 ) / 4.2

Z = 5.3 / 4.2

Z = 1.26

from normal distribution table

[tex]Z_{1.26[/tex] = 0.1038

Therefore, The probability that more than 30 students have had flu shots is 0.1038

c) the probability that 20 or fewer students have had shots;

P( X ≤ 20 )

upper limit will be 20.5

Z = (X - np) / √( npq )

Z = ( 20.5 - 25.2 ) / 4.2

Z = -4.7 / 4.2

Z = -1.12

from normal distribution table

[tex]Z_{-1.12[/tex] = 0.1314

Therefore, the probability that 20 or fewer students have had shots is 0.1314

An automobile passes a point PP at a speed of 84 mph. At PP it begins to decelerate at a rate proportional to time. If after 6.3 sec the car has slowed to 45 mph, what distance has it traveled in ft

Answers

Answer:

Distance in ft = 597.57 feet

Step-by-step explanation:

As per the

First equation of motion

84 mph = 37.5514 m/s

45 mph = 20.1168 m/s

v-u = a* t

Substituting the given values, we get -

37.5514 m/s - 20.1168 m/s = a * 6.3

a = 2.76 m/s^2

Now as per Newton's third law of motion

v^2-u^2 = 2 *a*S

Substituting the given values, we get -

37.5514^2 - 20.1168^2 = 2 * 2.76 m/s^2 * S

S = 182.142 Meters

Distance in ft = 597.57 feet

In what place is the digit 1 in the number 607.912
hundreds
tens
tenths
hundredths

Answers

Answer:

tenths.........

Step-by-step explanation:

.....is the answer

If somebody puts links report them

Find the value of x. Write your answer in simplest form.

Answers

By using Pythagoras Theorem:-

(Hypotenuse)² = (Base)²+ (Perpendicular)²

Taking, Hypotenuse As H

Base As B

Perpendicular As P

_________________________

Solving The Question

H²= B²+ P²

[tex](9 \sqrt{2} ) {}^{2} = x {}^{2} + {x}^{2} \\ \\ \implies \: 81 \times 2 = 2x {}^{2} \\ \\ \implies162 = 2x {}^{2} \\ \\ \implies \frac{162}{2} = x {}^{2} \\ \\ \implies \cancel\frac{162}{2} = x {}^{2} \\ \\ \implies81 = {x}^{2} \\ \\ \implies x = \sqrt{81} \\ \\ \implies \: x = 9[/tex]

Hope This Helps You ❤️

PLEASE HELP) Use a table of values to graph the function ƒ(x) = –3|x|. Select the correct graph below.

Answers

Answer:

B

Step-by-step explanation:

To find the answer you can just input a number for x and then you should come up with a y-value.

The graph mentioned in option B is correct.

We have the the following function -

f(x) = -3 |x|

We have to select the correct graph from the given ones.

State the property Modulus.

For a function f(x) = x, which is real in nature -

f(x) = |x| =  [tex]\left \{ {{-x\;\;\;for\;x < 0} \atop {x\;\;\;for\;x > 0}} \right.[/tex]

We will use this modulus property to solve the graph. We can further expand the function y = -3|x| as -

f(x) = -3|x| = [tex]\left \{ {{-3(-x)\;\;\;for\;x < 0} \atop {-3x\;\;\;for\;x > 0}} \right.[/tex]

For every negative value of x -

y = f(x) = 3x = negative value in a multiple of 3.

For every positive value of x -

y = f(x) = - 3x = negative value in a multiple of 3.

Hence, the graph mentioned in option B is correct.

To solve more questions on Modulus, visit the link below-

brainly.com/question/2288321

#SPJ5

what is the length of the line segment CD with endpoints (-3,2) and (2,2) as shown on the coordinate plane?

A 2 units
B 3 units
C 4 units
D 5 units

Answers

Answer:

Solution given:

(x1,y1)=(-3,2)

(x2,y2)=(2,2)

length[d]=?

we have

d=[tex] \sqrt{(x2-x1)²+(y2-y1)²} [/tex]

=[tex] \sqrt{(2+3)²+(2-2)²} [/tex]

=[tex] \sqrt{5²} [/tex]

=5units

D 5 units is a right answer.

Hello pls help plsss and thx!

Answers

Answer B

Distribute the 2

What is the value of
CNIC
?
81
16
16
81
16
81
81
16
PLEASE HELP!!!!!!!!!

Answers

Answer:

10.5

Step-by-step explanation:

find thr volume of the iron usrd to make a hollow cylinder of hright 9cm and whose internal and external radius are 21cm and 28cm respectively​

Answers

Answer:

Volume of iron used is 58982cm

Step-by-step explanation:

For hollow cylinder,

\bold{Height=9cm}Height=9cm

\bold{Internal \ radius=21cm}Internal radius=21cm

\bold{Externa \ radius=28cm}Externa radius=28cm

volume \: of \: cylinder = \pi \times {r}^{2} \times h \:volumeofcylinder=π×r

2

×h

\bold{Volume \ of \ cylinder \ with \ hollow \ part}Volume of cylinder with hollow part

\bold{=\frac{22}{7}×28^2×9}=

7

22

×28

2

×9

\bold{=22×4×28×9}=22×4×28×9

\bold{=71456cm^3}=71456cm

3

\bold{Volume \ of \ hollow \ part}Volume of hollow part

\bold{=\frac{22}{7}×21^2×9}=

7

22

×21

2

×9

\bold{=22×3×21×9}=22×3×21×9

\bold{=12474cm^3}=12474cm

3

\bold{Volume \ of \ iron \ used=}Volume of iron used=

\bold{Volume \ of \ cylinder \ with \ hollow \ part}Volume of cylinder with hollow part

\bold{- Volume \ of \ hollow \ part}−Volume of hollow part

{=71456-12474}=71456−12474

{=58982cm^3}=58982cm

3

\bold\red{Volume \ of \ iron \ used \ is \ 58982cm^3}Volume of iron used is 58982cm

3

Let u
(5, -12) and C =
3. What is cu?
39
39
51
21
Done -

Answers

Answer: [tex]||cu||=39[/tex]

Step-by-step explanation:

Given

[tex]u=<5,-12>[/tex] and [tex]c=-3[/tex]

[tex]cu[/tex] is a vector with 3 times the vector u in opposite direction

[tex]|u|=\sqrt{5^2+(-12)^2}\\|u|=\sqrt{25+144}\\|u|=13[/tex]

[tex]\therefore ||cu||=|3\times 13|\\\Rightarrow ||cu||=39[/tex]

option (a) is correct.

Fill in the blank for the special triangle.


HELPPPPPP
HELLLLLP

Answers

Answer:

[tex] \sqrt{2} [/tex]

Hope it helps

pls give brainliest

Root 2
This is my best guess

Which of these functions has exactly two different zeros? Please help

Answers

The correct answer is H; the other quadratic functions point upwards where their vertex sits on the x-axis

Find Sin A
Help please

Answers

Answer:

b=90

c=30a=60

this kdkddkdkdk

hope this helps! feel free to clarify
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