If p(x)= x^2 - 2root2x + 1, then p(3root2)= ?

Step-by-step explanation:

Angles BEC and KEC are labelled as congruent.

Therefore (6x + 24)° = 10x°, 4x = 24, x = 6.

Hence Angle BEK = (6x + 20)° + 10x°

= (16x + 24)° = 16(6) + 24 = 120°. (C)

The value of ∠BEK will be 120° so option (C) will be correct.

If two figures are exactly the same in sense of their length side all things then they will be congruent.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.

In other meaning, if you can copy a figure then that copy and the original figure will be congruent.

Given figure has two triangles ΔCBE and ΔCKE.

The angle of (6x + 24)° is the same as (10x)° ( given congruency of angle by double line)

So,

6x + 24 = 10x

10x - 6x = 24

4x = 24

x = 6°

So,

Angle ∠BEK

∠BEK  = (6x + 24) + (10x)

∠BEK  = 6(6) + 24 + 10(6)

∠BEK  = 120°.

Hence "The value of ∠BEK will be 120° ".

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Step-by-step explanation:

teacher to student:

2:5

student: 60

teacher?

2:5=24:60

total:84....

m not sure

Answer:

ASA would justify it to be congruent.

Answer:

[tex]Minimum = 51^{\circ}[/tex]

Step-by-step explanation:

Given:

[tex]Shape = Heptagon[/tex]

Required

Determine the least angle of rotation that places the heptagon on itself

First, we write out the number of sides of a heptagon

[tex]Sides = 7[/tex]

Next, we write out the measure of 1 complete rotation

[tex]1\ Complete\ Rotation = 360^{\circ}[/tex]

The minimum angle of rotation is then calculated as:

[tex]Minimum = \frac{1\ Complete\ Rotation}{Sides}[/tex]

[tex]Minimum = \frac{360^{\circ}}{7}[/tex]

[tex]Minimum = 51.4285714286^{\circ}[/tex]

[tex]Minimum = 51^{\circ}[/tex]

Hence, the minimum rotation angle is [tex]51^{\circ}[/tex]

Answer:

75 & 21

Check:

75 + 21 = 96

21 * 4 - 9 = 75

Correct!

Answer:

the smaller number is 21 and the larger number is 75

Step-by-step explanation:

First make a simple equation where x = the smaller number and y = the larger number

ie: 96=x+y

Now make an equation to find the larger number.

ie: y=4x-9

Now substitute the y value in the first equation for the y value in the second equation

ie: 96=x+(4x-9)

Then solve for x

ie: x=21

Then plug in your new x value into the first or second equation to solve for y.

ie: 96=21+y

ie: y=75

Answer:

10

Step-by-step explanation:

[tex]\frac{40-20}{4-2} =10[/tex]

Answer:

You will need 172 packets

Step-by-step explanation:

There's 4 packets in each bucket so you will

need to divide 868 by 4. The asnwer to that is

171.5 so if you round that up to the nearest whole

number you get 172 :)

Answer:

$3500, y= 5000-500x

Step-by-step explanation:

You initially have $5000 which you then subtract $500 from each year, where x represents the number of years that passed.

y= 5000-500x

So after 3 years, it should be

y= 5000-500(3)

=5000-1500

=$3500

Answer:

5cm by 1.95cm

Step-by-step explanation:

Let the length of the rectangle be x

Let the width be y

Perimeter of a rectangle = 2x + 2y

If the initial perimeter of a rectangle is about 13.9 cm, then;

13.9 = 2x + 2y ..... 1

If when the width is double the perimeter is 17.8cm, then;

17.8 = 2x + 4y ..... 2

Subtract 1 from 2;

13.9 - 17.8 = 2y - 4y

- 3.9 = -2y

y = 3.9/2

y = 1.95 cm

Substitute y = 1.95 into 1 to get x;

From 1;

13.9 = 2x + 2y

13.9 = 2x + 2(1.95)

13.9 = 2x + 3.9

2x = 13.9-3.9

2x = 10

x = 5 cm

Hence the dimension of the smaller triangle is 5cm by 1.95cm

Answer:

C

Step-by-step explanation:

Go back from 11:00 pm until you get to 5:00 am (don’t mistaken it for 5:00 pm) and you should get 18 or go from 5:00 am and count up to you get to 12:00 pm and that’s 7 hours. Then go from 12:00 pm until you get to 11:00 pm and that’s 11 hours. 11+7=18

The Anchorage time zone is 18 hours ahead of the Tokyo time zone when it is 5:00 a.m. in Anchorage, it is 11:00 p.m. in Tokyo option (C) is correct.

For legal, commercial, and social purposes, a time zone is a region that observes a uniform standard time. Instead of strictly following longitude, time zones tend to follow the borders between countries and their subdivisions.

We have:

Time in Anchorage = 5:00 a.m.

Time in Tokyo = 11:00 p.m.

The difference between these two-time zone is:

TIme difference = 18 hours

18 hours ahead of Anchorage is Tokyo.

Thus, the Anchorage time zone is 18 hours ahead of the Tokyo time zone when it is 5:00 a.m. in Anchorage, it is 11:00 p.m. in Tokyo option (C) is correct.

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Answer:

16524534887

Step-by-step explanation:

Answer:

16524534887

Step-by-step explanation:

just multiply, takes a while but you can do it

or you can just use a calculator

Answer:

-18/5

Step-by-step explanation:

4/5 x -9/2 = 2/5 x -9= -36/10= -18/5

Answer:

20 - 20 =0 me trying to get the points lol edit : oh well I couldn't get the points:( lol

Answer:

answers are below

Step-by-step explanation:

1) decrease

2) not change

3)decrease

Answer:

m = 3

Step-by-step explanation:

Pick two points from the table.

(-1, 1) and (1, 7)

Apply the slope formula.

[tex]m=\frac{7-1}{1+1}=\frac{6}{2}=\boxed{3}[/tex]

Hope this helps.

Answer:

= 5

Step-by-step explanation:

the two negatives cancel out to create a positive so the equation would be

0 + 5 =

= 5

Answer:

5

Step-by-step explanation:

[tex]0-(-5)[/tex]

When subtracting a negative number, the two negatives cancel out and subtraction turns to addition.

[tex]0+5[/tex]

[tex]5[/tex]

I hope this helps!

it is reduced I think. so the answer would be 10

Answer:the answer is 154682

Step-by-step explanation:

Given:

Number of gym members in last quarter = 490

Number of gym members in this quarter = 686

To find:

The percent of increase in the number of members.

Solution:

We have,

Number of gym members in last quarter = 490

Number of gym members in this quarter = 686

Now, the percent of increase in the number of members.

[tex]\%\text{ of increase}=\dfrac{{Members in this month - Members in last month}}{\text{Members in last month}}\times 100[/tex]

[tex]\%\text{ of increase}=\dfrac{686-490}{490}\times 100[/tex]

[tex]\%\text{ of increase}=\dfrac{196}{490}\times 100[/tex]

[tex]\%\text{ of increase}=\dfrac{2}{5}\times 100[/tex]

[tex]\%\text{ of increase}=2\times 20[/tex]

[tex]\%\text{ of increase}=40[/tex]

Therefore, the gym members increased by 40%.

[tex] \frac{25}{125} = \frac{5}{25} = \frac{1}{5} [/tex]

9514 1404 393

Answer:

  under

Step-by-step explanation:

On average, there are 4 1/3 weeks in a month, so Andy's salary is equivalent to ...

  (4 1/3 wk/mo)($975/wk) = $4225/mo

The spending guidelines are that no more than 12% should be spent on gifts and entertainment, so Andy's gift budget is ...

  12% × $4225/mo = $507/mo

A gift of $250 falls well within Andy's monthly gift budget limit of $507.

_____

Additional comment

Andy's housing allowance is about 30% of $4225, or $1267.50. His mortgage expense is over his budget amount by $82.50. Even if Andy takes this from his gift budget, he still has a sufficient amount for the birthday gift.

Answer:

answer in picture

Step-by-step explanation:

The solutions of polynomial have 1,5 and 3.

It is given that equation of the polynomial is -6x-9,[tex]2x^{5} -x^{4} +2x^{3} -6x^{2} +2x+4[/tex]   ,[tex]-4x^{3} -10x^{2} +7x+5[/tex].

To find the how many solutions does each polynomial.

An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

The equation of the polynomial is

y=-6x-9= 1 solution

y=[tex]2x^{5} -x^{4} +2x^{3} -6x^{2} +2x+4[/tex]= 5 solution

y=[tex]-4x^{3} -10x^{2} +7x+5[/tex] = 3 solution

So. the solutions of polynomial have 1,5 and 3.

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Answer:

Step-by-step explanation:

We are to show that 1/1-sin theta + 1/1+cos theta = 2×sec square theta ​

Starting from the left hand side of the expression:

1/1-sin theta + 1/1+cos theta

Find the LCM

[tex]\frac{1}{(1 -sin \theta) (1+cos \theta)} \\\\= \frac{1+cos \theta + 1 -sin \theta ]}{(1 -sin \theta) (1+cos \theta)} \\ = \frac{2+cos \theta - sin \theta}{1+cos \theta - sin \theta - sin \theta cos \theta}[/tex]

Answer:

elapsed time: 3 hours and 49 minutes

Step-by-step explanation:

Answer:

Area

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

You have to divide 30 divided by 10 is 3 so ya.

Answer:

i think you have to divide

Step-by-step explanation:

30/3

x=10

Answer:

I think it is

Step-by-step explanation:

s;kfjskejrlkjdvnlkfjnvlkajvnfkljvnkjfvn

Savsvwvsgsvajsmqkabadacags s

Step-by-step explanation:

Hope this helped