The triangles shown below may not be congruent.
25
56
100
1000
850
O A. True
O B. False

9514 1404 393

Answer:

  6.7

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.

  x^2 = 6^2 +3^2 = 45

  x = √45 ≈ 6.7

The missing side length is about 6.7 units.

Answer:

Step-by-step explanation:

hope it helps

Answer:

84

59

Step-by-step explanation:

In other to have the same number of chayes in both rows and columns ;

If the Number of chairs per row = x ; then number of chairs per column = x

Then the total number of chairs needed = x * x = x²

Hence, if there are 5100 chairs ;

Number of chairs needed more ;

Take the square root of 5100 ;the round to the next whole number :

B.) For number of chairs to be removed ;

Take the square root of 5100 and round down to the whole number.

Hence,

A.) = √5100 = 71.414 = 72

72² - 5100 = 84

B.) 5100 = 71.414 = 71

5100 - 71² =

Answer:

4x^2-9x+7+\frac{x-2}{x^2+x+1}

Step-by-step explanation:

Here is a hopefully helpful answer! :)

Answer:

D

Step-by-step explanation:

Have a nice day :)

The required value of function g is (-4x - 5)/(x+2) and graph is shown below.

The parent function of a function is the simplest form of the function, which satisfies all the conditions of the given function.

Given that,

Parent function f(x) = 3/x,

And function g(x) = f(x + 2) - 4.

To find the graph of function g(x), first determine the value of function g(x),

Substitute x = x+2 in function f(x), to determine g(x),

g(x)  = 3/(x+2) -4

       = 3-4(x+2)/x+2

       = 3 - 4x - 8/(x + 2)

       = (-4x - 5)/(x+2)

The required function g(x) is (-4x - 5)/(x+2) .

The graph of function g(x) is shown below.

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Answer: The radius of the hemisphere is (R) = 28 cm

Answer:

El 5 y el 3

Step-by-step explanation:

La primera y la segunda saldrá un negativo ya que hay un negativo y con eso nunca saldrá positivo.

La tercera es 0, no es positivo ni negativo

La cuarta y quinta es positivo

Answer:

-15

Step-by-step explanation:

So it's a-1-2x.

rewrite as -4-1-(2*5)

-4-1-10

-4+-1-10

-5+-10

-15

Answer:

- 15

Step-by-step explanation:

a - 1 - 2 x

- 4 - 1 - 2 ( 5 )

- 5 - 10

- 1 5

Answer:

9 sqrt(2) /2 = x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hypotenuse

sin 45 = x /9

9 sin 45 = x

9 sqrt(2) /2 = x

9514 1404 393

Answer:

  x = 9

Step-by-step explanation:

Vertical angles are congruent, so ...

  ∠B = ∠A

  4x -17 = 3x -8

  x = 9 . . . . . . . . . . . add 17-3x to both sides

x = 9

Step-by-step explanation:

In the question we have given that ∠A and angle∠B are vertical angles. And the value of angle ∠A = ( 3 x - 8 ) and angle ∠B = ( 4 x - 17 ).

∠B = ∠A. (Both are vertical angle so, both are equal to each other).

Substitute the values

4 x - 17 = 3 x - 8

Add 17 - 3 x to each side

4 x - 17 + 17 - 3 x = 3 x - 8 + 17 - 3 x

combine like terms

4 x + 0 - 3 x = 3 x - 3 x - 8 + 17

x = 0 + 9

x = 9

Answer:

The answer is B

Step-by-step explanation:

v = u + at

=> 35 = u + (4×5)

=> 35 = u + 20

=> 35 - 20 = u

=> 15 = u

Step-by-step explanation:

v = u + a t

35=u+ 4(5)

35-20=u

u=15

Answer:

25 days

Step-by-step explanation:

6.50 x 8 = 52

52 ÷ 5 = 10.4

10.4 × 4 = 41.6

1040 ÷ 41.6 = 25

Answer:

y -2 = 3(x-4)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y -2 = 3(x-4)

Answer:

Yes there is alternative way in solving and arithmetic sequence .An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

Answer:100 degrees

Step-by-step explanation: Multiply 50 by two by in inscribed angle therom.

ABC is 100

The central angle that creates the intercepted arc's central angle, or the arc measure, is expressed in degrees. Arc length can be estimated as a percentage of the circle's circumference by multiplying the circle's diameter by the arc length, divided by 360.

θ = arc* 2

θ = 50*2 = 100

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5 10 15 20 25 30 35 40 45 50 55 60 65 70 75

Answer:

a) The 99% confidence interval for the proportion of all students who had use of a computer at home and give it in interval notation is (0.709, 0.911).

b) 0.81

c) 0.039.

d) 0.101

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home.

This means that [tex]n = 100, \pi = \frac{81}{100} = 0.81[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.81 - 2.575\sqrt{\frac{0.81*0.19}{100}} = 0.709[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.81 + 2.575\sqrt{\frac{0.81*0.19}{100}} = 0.911[/tex]

The 99% confidence interval for the proportion of all students who had use of a computer at home and give it in interval notation is (0.709, 0.911).

b) Give the value of the point estimate described in this scenario.

Sample proportion of [tex]\pi = 0.81[/tex]

c) Give the value of the standard error for the point estimate.

This is:

[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.81*0.19}{100}} = 0.039[/tex]

The standard error is of 0.039.

d) Give the value of the margin of error if you were to calculate a 99% confidence interval.

This is:

[tex]M = zs = 2.575*0.039 = 0.101[/tex]

Answer:

c. 216 m squared

do 6×6 to find the missing area then do 12×21 to fine whole area then subtract 252 and 36. hope this helps

9514 1404 393

Answer:

  x = (10√3)/3 ≈ 5.7735 m

Step-by-step explanation:

The 30°-60°-90° right triangle is one of the "special" right triangles, so you know its side ratios are ...

  BC : AB : AC = 1 : √3 : 2

Then ...

  x = BC = AB/√3 = (10 m)/√3 = (10√3)/3 m ≈ 5.7735 m

Answer:

they would have bike 544 miles together with each other.

Step-by-step explanation:

since Elsa went more than Linda Linda had to stop while Elsa kept going.

Answer:

x = 29/6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

8x - (2x - 13) = 42

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see 42 does indeed equal 42.

∴ x = 29/6 is the solution.

Answer:

x = 29/6

Step-by-step explanation:

solve for x.

8x - ( 2x - 13 ) = 42

distribute minus sign

8x - 2x + 13 = 42

combine like terms

6x + 13 = 42

subtract 13 from both sides

6x + 13 - 13 = 42 - 13

6x = 29

Divide each side by 6

6x / 6 = 29 / 6

x = 29 / 6

Check the equation :

8x - ( 2x - 13 ) = 42

substitute the value of x in equation

8 ( 29/6) - ( 2(29/6) - 13) = 42

reduce the number with the greatest common factor 2

4 × 29 /3 - ( (29/3) - 13) = 42

calculate the product

116/3 - ( 29/3 - 13 )= 42

calculate the difference

116/3 -( -10/3 )= 42

change the sign

116/3 + 10/3 = 42

add the fractions to get 42.

42 = 42

Hence, verified.

=========================================================

Explanation:

We have n = 6 sides, so the interior angles must add to 180(n-2) = 180(6-2) = 720 degrees

Lets add up the angles, set the sum equal to 720 and solve for x

x+2x+115+2x+115+2x = 720

7x+230 = 720

7x = 720-230

7x = 490

x = 490/7

x = 70

This makes angle 2x = 2*70 = 140 degrees

We see that x = 70 is the smallest angle, so that's why C is the answer.

Answer:

70

Step-by-step explanation:

X is equal to 70 degrees because angle x and the angle that is 70 degrees are alternate interior angles.

These are alternate interior angles. If two angles are alternate interior angles they are congruent. That means x is also 70 degrees.

Answer:

28.5

Step-by-step explanation:

X*2/3=19, X=19/(2/3)=57/2=28.5

Answer:

The number is 28.5

Step-by-step explanation:

Let the number be x

Two - third of the number is 19 means

                                                            [tex]\frac{2}{3} \ of \ x = 19[/tex]

Solve for x

[tex]\frac{2}{3} \times x = 19\\\\2 \times x = 19 \times 3\\\\x = \frac{19 \times 3}{2} = 28.5[/tex]

Answer:

62

Step-by-step explanation:

In one minute Anna called 2 people

the next minute the 2 people each called 2 people making it 4 so I'll draw something like a branch chain to calculate so it will look like the fig above

I'm not too sure but I tried my best.

Step-by-step explanation:

here is your answer

here is your answer