Given the figure below, find EF if CA = (6n) and EF = (n + 8)

Given The Figure Below, Find EF If CA = (6n) And EF = (n + 8)

Answers

Answer 1

Answer:

[tex]EF = 12[/tex]

Step-by-step explanation:

Given

[tex]CA =6n[/tex]

[tex]EF= n + 8[/tex]

Required

Find CN

From the attachment:

[tex]EF = CD\ and\ CD = DA[/tex]

Where

[tex]CA = CD + DA[/tex]

This means that:

[tex]CA = CD + CD[/tex]

[tex]CA = 2CD[/tex]

or

[tex]CA = 2*EF[/tex]

This gives:

[tex]6n = 2*(n+8)[/tex]

Open bracket

[tex]6n = 2n+16[/tex]

Collect anf simplify like terms

[tex]4n = 16[/tex]

[tex]n= 4[/tex]

So:

[tex]EF= n + 8[/tex]

[tex]EF = 4 + 8[/tex]

[tex]EF = 12[/tex]


Related Questions

A right triangle has side lengths d, e, and f as shown below.
Use these lengths to find tanx, sinx, and cosx.

Answers

Answer:

tanx=d/f, sinx=d/e, cosx=f/e

Step-by-step explanation:

Find the opposite, Adjacent and hypotenuse of the right triangle.

Opposite= d , Adjacent= f, Hypotenuse= e

Tanx = opposite/adjacent

Sinx= opposite/hypotenuse

Cosx= adcajent/hypotenuse

Item $80 yesterday. Today it's $36. What's the % difference

Answers

Answer:

$36 is 45% of $80. The percent difference is 55%.

Step-by-step explanation:

Qi. calculate the thickness of a disc of
a diameter 14cm and Surface area
is 3cm?

Answers

Answer:

Thickens (Height) = 0.068 cm

Step-by-step explanation:

Given:

Diameter of disc = 14 cm

Radius of disc = 14 / 2 = 7 cm

Surface area = 3 cm²

Find:

Thickens (Height)

Computation:

Disc is a cylinder in shape

Surface area = 2πrh

3 = 2(22/7)(h)(7)

3 = 44(h)

Thickens (Height) = 0.068 cm

A net and the prism it will form when it is folded are shown below.

A prism is made up of 4 rectangles with a base of 12 centimeters and height of 11 centimeters and 2 rectangles with a base of 12 centimeters and height of 10 centimeters.

What is the surface area of the prism in square centimeters?
724 square centimeters
972 square centimeters
1,089 square centimeters
1,320 square centimeters

Answers

Answer:

724

Step-by-step explanation:

PLEASE MARK BRAINLIEST!!!!!!!!!

Answer: 724

Step-by-step explanation: I multiplied and then got this i also did the quiz for this :) have a good day!

Use the equation and type the ordered-pairs.
Y = 2^x

Answers

Answer:

(0,1)

Step-by-step explanation:

Anh randomly surveyed 36 students​

Answers

Anh randomly surveyed 36 students to see if there was interest in starting the 7th grade science club he found 4 students said they would be interested if 180 students are in the 7th grade how many can be expected to join?

4/36 = x/180

180/36 = 5

20/180

20 students would be intrested

The table shows the results of drawing 44 cards from a deck of 104 game cards. After each draw, the card is replaced.Based on the results, what is the chance that a draw results in a wild card?

Cards :Wild|Number|Penalty|

Freq: 10 | 32 | 2 |

10/44,  =

5/22

The amount of time required to reach a customer service representative has a huge impact on customer satisfaction. Below is the Excel output from a study to see whether there is evidence of a difference in the mean amounts of time required to reach a customer service representative between two hotels. Assume that the population variances in the amount of time for the two hotels are not equal.
t-Test: Two-Sample Assuming Unequal Variances
Hotel 1 Hotel 2
Mean 2.214 2.0115
Variance 2.951657 3.57855
Observations 20 20
Hypothesized Mean Difference 0
df 38
t Stat 0.354386
P(T<=t) one-tail 0.362504
t Critical one-tail 1.685953
P(T<=t) two-tail 0.725009
t Critical two-tail 2.024394
A) State the null and alternative hypotheses for testing if there is evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels.
B) What is the value of the test statistic for testing if there is evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels? Explain how you obtain.
C) What is the critical value for testing if there is evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels at the 5% level of significance? Explain how you obtain.
D) Suppose α = 0.05. Which of the following represents the correct conclusion for a test on a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels?
1) There is no evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels.
2) There is evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels.
3) There is no evidence that the variabilities of the amount of time required to reach a customer service representative between the two hotels are the same.
4) There is evidence that the variabilities of the amount of time required to reach a customer service representative between the two hotels are the same.

Answers

Answer:

A) H0: σ₁²-σ₂²= 0   against the claim  Ha: σ₁²-σ₂²≠0

B) t= 0.3543860

C)  t≥ t∝/2 ( d.f)=2.024394

D)1) There is no evidence of a difference in the variability of the amount of time required to reach a customer service representative between the two hotels.

Step-by-step explanation:

The claim is that there is evidence of a difference in the variability of the amount of time required to reach a customer service representative between the two hotels which is the

alternate hypothesis

The null hypothesis is the reverse of the alternate hypothesis

The null hypothesis is that there is not enough evidence of a difference in the variability of the amount of time required to reach a customer service representative between the two hotels.

Part A) H0: σ₁²-σ₂²= 0   against the claim  Ha: σ₁²-σ₂²≠0

Part B) t= x1`-x2`/ sqrt ( s₁²/n₁ + s₂²/n₂)

  t=  2.214- 2.0115/ sqrt ( 2.951657/20+  3.57855/20)

 t= 0.2025/ sqrt(0.14758285 + 0.1789275)

t= 0.2025/0.5714108

t= 0.3543860

Part C) for 2 tailed test the critical value of t is obtained by

t≥ t∝/2 ( d.f)= ± 2.024394

We look at the table with values 0.025 as ∝/2= 0.05/2= 0.025

in the degrees of freedom 38

The d.f = n1+n2-2= 20+20-2= 40-2= 38

Part D) Since the calculated value of t= 0.3543860 does not fall in the critical region  t≥ t∝/2 ( d.f)= ± 2.024394 we conclude that H0 is true and accept the null hypothesis.

So option 1 is correct

1) There is no evidence of a difference in the variability of the amount of time required to reach a customer service representative between the two hotels.

Solve these equations.

Answers

Answer:

x=0, -28.

Step-by-step explanation:

abs(x+14)=14

x+14=14

x=14-14=0

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

x+14=-14

x=-14-14

x=-28

use the distributive property to multiply -7(-p+6)​

Answers

Answer:

-7(-p+6)

Step-by-step explanation:

Answer:

-7(-p+6)

Step-by-step explanation:

Answer:

[tex]7p-42[/tex]

Why:

To use the distributive property, you multiply all things within the parantheses by the -7 (in this case). To Multiply -p and -7, remember that a negative times a negative equals a positive, so it simply results in 7p. When you multiply -7 and 6, multiply them together and you get -42. You get [tex]7p+-42[/tex], but that's not a fully simplified equation, so get rid of the addition symbol and make the 42 positive. This expression is now fully simplfied into [tex]7p-42[/tex].

P.S. Never ever add a negative in an expression. Lots of teachers like to dock your points for doing it.


please help with this ixl question

Answers

Answer:

I think it would be 25 hours

Step-by-step explanation:

Im not exactly sure but if she prepared 25 kg all together and prepares 1 kg every hour, then i think that would be 25 hours.

I hope this helps :)

Please tell me if im wrong

Solve the following quadratics equation for all values of x in simplest form
9(3x - 7) ^2= 16

Answers

Answer:

x= 17 /9  or x= 25 /9

Step-by-step explanation:

9(3x - 7) ^2= 16

9(3x - 7) ^2-16= 0

as we know that (a-b)^2=a^2-2ab+b^2

9((3x)^2-2(3x)(7)+(7)^2=0

solving this we got the below equation

81x2−378x+425=0

By Factorizing the equation

(9x−17)(9x−25)=0

9x−17=0 or 9x−25=0

x= 17 /9  or x= 25 /9

Triangle ABC is formed by connecting the points A (2,6), B (6,6) and C (6,1). What is the exact length of the hypotenuse of triangle ABC? Express your answer as an entire radical.

Answers

Step-by-step explanation:

ndnndndndjdjdjdfjfjfgnn

Juliette is a waitrees at Applebee's. The total for one of the tables she served was $51.87. The table wants to leave her an 18% tip. How much should Juliette make for her tip?​

Answers

Answer:

They should leave Juliette about a $9.34 tip  because 18% of 51.87 is 9.3366 which rounds up to 9.34

Answer:

18% of $51.87=9.3366tip is a required tip.

Find the general solution of the differential equation and check the result by differentiation. (Use C for the constant of integration.)

[tex]\frac{dy}{dx}[/tex] = 4x^1/6

Answers

Answer:

For this we can first multiply both sides by dx:

[tex]dy = 4x^{1/6}dx[/tex]

Next we can integrate both sides:

[tex]\int dy = \int 4x^{1/6}dx\\[/tex]

We can then solve both integrals to get:

[tex]y = 4(\frac{6}{7}x^{\frac{7}{6}}+C_1) = \frac{24}{7}x^{\frac{7}{6}}+C_2[/tex]

We can just say the constant is C2. So the answer is

[tex]y = \frac{24}{7}x^{\frac{7}{6}}+C_2[/tex]

We can also check this by differentiating both sides. We will ultimately get the equation we with. If I made any mistakes or misread something, please let me know.  

Which set of segment lengths could be used to construct a triangle?
A)
3,7,12
5, 7, 17
5,3,12
D)
12, 6, 10

Answers

9514 1404 393

Answer:

  D) 6, 10, 12

Step-by-step explanation:

The sum of the two shortest must exceed the longest. This is only the case for the segment lengths in choice D.

  6 + 10 > 12

Answer:

the answer is D. 6 ,10 ,12

A triangular prism is 37 millimeters long and has a triangular face with a base of 20
millimeters and a height of 24 millimeters. The other two sides of the triangle are each 26
millimeters. What is the surface area of the triangular prism?

Answers

formula- tsa of prism- 2*area of trangular base + lateral surface area

to make easy

area of trangular base = 1/2(breathe×height)

lateral surface area =

area of trangluar bases+ perimeter of trangular base

A right rectangular prism is shown what is the volume in cubic inches of the prism

Answers

Answer:

Step-by-step explanation:

Exact value is (130 )

Answer:

130

Step-by-step explanation:

what is 8 (x/4 - 6) < 4

Answers

Answer:

x<26

Step-by-step explanation:

8(x/4 - 6) < 4

Divide both sides by 8;

8(x/4 - 6)/8 < 4/8

Simplify;

x/4-6<1/2

Add 6 to both sides;

x/4-6+6<1/2+6

Simplify;

x/4-6+6<1/2+6

Simplify

x/4-6+6

=x/4

Simplify;

1/2+6

Convert it into a fraction;

6*2/2+1/2

Since the denominators are equal combine the fractions;

6*2+1/2

6*2+1=13

=13/2

x/4<13/2

Multiply both sides by 4;

4x/4<13*4/2

Simplify 4x/4

4x/4

4/4=1

=x

Simplify 13*4/2

Multiply the numbers:13*4=52

=52/2

Divide the numbers:52/2=26

=26

x<26

HOPE THIS HELPED!!!

find the surface area of this prism. geometry hw

Answers

Answer:

395.2 cm²

Step-by-step explanation:

2x12.7x6.72=170.688

2x6.72x5.78=77.6832

2x5.78x12.7=146.812

170.688+77.6832+146.812=395.1832

Answer:  A=395.2

Step-by-step explanation:

A=2(wl+hl+hw)

A=2[(12.7x5.78)+(6.72x5.78)+(6.72x12.7)]

A=2(73.406+38.8416+85.344)

A=2(197.5916)

A=395.1832

Rounded to nearest tenth..

A=395.2

Find the value of x in the triangle shown below.
a. x=4
b.x=5
c.x=2
d.x=32

Answers

Answer:

4√2

Step-by-step explanation:

Using Pythagoras Theorem ,

[tex]\implies h^2 = p^2 + b^2\\\\\implies 9^2 = x^2 + 7^2 \\\\\implies 81 = x^2 + 49 \\\\\implies x^2 = 81 - 49 \\\\\implies x^2 = 32 \\\\\implies \boxed{x = 4\sqrt2} [/tex]

Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex] Pythagoras law:h²=p²+b²

9²=x²+7²

x²=81-49

x=√32 units

Circle all of the sums which
are odd.
11 + 22
42 + 96
55 + 86

Answers

Answer:

11+22, and 55+86

Step-by-step explanation:

11+22 = 33 which is odd

55+86 = 141 which is also odd

42+96 = 138 which is EVEN

Even is the opposite

of odd

11+ 22 and 55+ 86 hope u pass sorry if wrong byeee

Michael deposited $1,500 into a savings account with a simple interest rate of 2%. How much money will he have in his account after 4 years if no additional deposits or withdrawals are made?​

Answers

Answer:

$1,620

Step-by-step explanation:

2% per year:

2% of 1,500 = 30

30 x 4 = 120

1500 + 120 = 1620

Will name brainliest
Congruence proofs and reasons
Reasons must be from this list:
Reflexive property, segment bisector, angle bisector, linear pair, transitive property, perpendicular, SAS, ASA, CPCTC, AAS, HL, and SSS
Every word may not be used, but each may not be used more than once.
Answers must be structured as:
17,
2:
3(1):
3(2):
18,
2:
3:
4(1):
4(2):
19,
2:
3:
4:
5:
6:
7(1):
7(2):
20,
2:
3:
4:

Answers

Answer:

huh? Can you put it in a pdf

Step-by-step explanation:

Challenge You have two spinners with colors on them. The probability of spinning green on both spinners is 5/22 the probability of spinning green on the first one alone is 1/3. What is the probability of spinning green on the second spinner alone?​

Answers

Answer:

hi i know this not the answer but hope it help:)))

Step-by-step explanation:

Multiply the probabilities just calculated for each individual spinner together to find the probability of getting any specific combination of outcomes from spinning the arrows on both spinners. In the example, you would multiply 1/4 by 1/3 to obtain 1/12.

please help i need the number of visita

Answers

answer

x=28

explanation

so what would happen is you pay a fee of 22$ and then 1$ per visit and we are looking to see how many visits it take to get to 50$

what we do it put

22+x=50

x is how many visits it would take to 50$

so what we do is subtract 22 from both sides

x=50-22

x=28

Find the value of x?

Answers

Answer:

  x = 12

Step-by-step explanation:

An inscribed angle has half the measure of the arc it intercepts.

  arc SU +arc UT = 180°

  2(43°) +(9x -14)° = 180°

  9x = 108 . . . . . . . divide by °, subtract 72, simplify

  x = 12 . . . . . divide by 9

During a baskethall game, you want to pass the ball to either Player A or Player B. You estimate that Player B is about 15 feet from you, as shown. How far away from you is Player A?

Answers

Answer: 19.2 ft

Step-by-step explanation:

The distance between you, Player A and Player B are in the form of a right angled triangle so using the Pythagorean Rule, we can find the distance between you and Player A.

c² = a² + b²

c = hypotenuse = Distance between you and player A

a = Length of triangle

b = Height of triangle

c² = 12² + 15²

c² = 144 + 225

c = √369

c = 19.2 ft

An item on sale cost 80% of the original price. If the original was$75.00 what is the sale price

Answers

Answer:

sale prive would be 15$ but 60$ off

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

To solve this problem you can multiply 75 by .8, 80%, or 8/10. Multiplying by these numbers is equal 80%

I need help SHOW YOUR WORK

Answers

Answer:

[tex] F)\displaystyle \: 100\pi{ x}^{8} {y}^{2} {z}^{ 6} [/tex]

Step-by-step explanation:

we are given r and the formula

we want to find the surface area of the shpare with the given r

to do so

we need our algebra skills

substitute the value of r:

[tex] \displaystyle \: S = 4\pi( {5x}^{4} y {z}^{ 3} {)}^{2} [/tex]

recall law of exponent

[tex] \displaystyle \: ({x}^{m} {)}^{n} \iff \: {x}^{mn} [/tex]

to simplify:

[tex] \displaystyle \: S = 4\pi({ {5}^{2} x}^{4 \times 2} {y}^{1 \times 2} {z}^{ 3 \times 2} )[/tex]

simplify multiplication:

[tex] \displaystyle \: S = 4\pi({ 25x}^{8} {y}^{2} {z}^{ 6} )[/tex]

distribute:

[tex] \displaystyle \: S = 100\pi{ x}^{8} {y}^{2} {z}^{ 6} [/tex]

hence our answer is F

ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]
7D
AK
100%
B
>C
Angles are not drawn to scale

Answers

Answer:

Solution given:

x+100=180°{linear pair}

x=180-100

x=80

Answer:

x = 80

Step-by-step explanation:

<ABD and <DBC

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