Find the value of x.

Answer:

D

Step-by-step explanation:

Δ CED and Δ CAB are similar thus the ratios of corresponding sides are equal, that is

[tex]\frac{CE}{CA}[/tex] = [tex]\frac{ED}{AB}[/tex] , substitute values

[tex]\frac{x}{156-x}[/tex] = [tex]\frac{7}{84}[/tex] = [tex]\frac{1}{12}[/tex] ( cross- multiply )

12x = 156 - x ( add x to both sides )

13x = 156 ( divide both sides by 13 )

x = 12

Thus

AC = 156 - x = 156 - 12 = 144 → D

Answer:

D.  144

Step-by-step explanation:

Triangle BAC is similar to triangle DEC, so you can set up a ratio:

[tex]\frac{84}{156-x} = \frac{7}{x}[/tex]

Then cross multiply

84x = 7 (156 - x)

84x = 1092 - 7x

Add 7x to both sides.

91x = 1092

Divide both sides by 91.

x = 12

AC = 156 - x

AC = 156 - 12

AC = 144

Answer:

( −9, 0)

Step-by-step explanation:

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Answer:

X=-7

Step-by-step explanation:

X+37+x+67=90

2x+104=90

2x=-14

X=-7

Answer:

distribute on each side is correct :)

Answer:

c

Step-by-step explanation:

took the test

Answer:

C

Step-by-step explanation:

i am just that good

9514 1404 393

Answer:

  43.303°

Step-by-step explanation:

Problem geometry varies. For this question, we will assume ...

The equation of motion in this case is ...

  h(x, α) = x(tan(α) -4.9x/(v·cos(α))²)

where h(x) = height at distance x, α is the launch angle, vₓ is the horizontal speed of the ball.

__

The ball was launched at an angle of 53° in part (a) at a speed that gives it a horizontal speed of (24 m)/(2.2 s). That is, the speed in the direction of launch is ...

  (24 m)/(2.2 s)/cos(53°) ≈ 18.126983 m/s . . . . speed in part (a)

__

For the question at hand, we need to find α such that ...

  h(24) = 6.4

Substituting into the above equation gives ...

  6.4 = 24(tan(α) -24(4.9/18.126983^2·sec(α)^2)

  6.4 = 24(tan(α) -0.35789551(tan(α)^2 +1)) . . . . replacing sec(α) using hint

If we let z represent tan(α), this can be written in standard form as ...

  8.5894922·z^2 -24z +14.989492 = 0

Then the minimum solution (by the quadratic formula) is ...

  z = (24 -√(24^2 -4(8.5894922)(14.989492)))/(2·8.5894922)

  z = 0.94244774

And the angle is ...

  α = arctan(z) = arctan(0.94244774) ≈ 43.303°

The teacher must launch the ball at an angle of at least 43.3° to clear the railing.

Answer:

where is your 15 points

Step-by-step explanation:

this answer is 8points

ase logo ko pagal mat banaya karo

Answer: Choice B

(-2, 5)

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

Explanation:

The original system is

[tex]\begin{cases}-4x+3y = 23\\ x-y = -7\end{cases}[/tex]

Multiply both sides of the second equation by 3. Doing so leads to this updated system of equations

[tex]\begin{cases}-4x+3y = 23\\ 3x-3y = -21\end{cases}[/tex]

Now add straight down

The x terms add to -4x+3x = -1x = -x

The y terms add to 3y+(-3y) = 0y = 0

The terms on the right hand sides add to 23+(-21) = 2

We end up with the equation  -x = 2 which solves to x = -2

Now use this to find y. You can pick any equation with x,y in it

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

-4x+3y = 23

-4(-2)+3y = 23

8+3y = 23

3y = 23-8

3y = 15

y = 15/3

y = 5

Or

x-y = -7

-2-y = -7

-y = -7+2

y = -5

y = 5

Either way, we get the same y value.

So that's why the solution is (x,y) = (-2, 5)

Answer:

As all even square numbers are divisible by 4, the even numbers of the form 4n + 2 are not square numbers. As all odd square numbers are of the form 4n + 1, the odd numbers of the form 4n + 3 are not square numbers.

Answer:

9

Step-by-step explanation:

9 is a square number, since it can be written as 3 × 3.

Answer:

C

Step-by-step explanation:

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Answer:

a right angle

Step-by-step explanation:

i just know this

it's the first one it's the f (x) =40x

Answer:

I know that A is incorrect because I just took the quiz and it was wrong. I believe answer C is correct.

Step-by-step explanation:

They are not skew lines because they are intersecting.  The only answer left is C.

Answer:

1.8

Step-by-step explanation:

Answer:

s = 11

Step-by-step explanation:

Given

[tex]\frac{3}{8}[/tex] = [tex]\frac{s-2}{24}[/tex] ( cross- multiply )

8(s - 2) = 72 ( divide both sides by 8 )

s - 2 = 9 ( add 2 to both sides )

s = 11

Answer:

TU

Step-by-step explanation:

Answer:

The number of pounds peanuts = x = 4 pounds

The number of pounds cashews = y = 2 pounds

The number of pounds raisins be equal to z = 4 pounds

Step-by-step explanation:

The number pounds of the mixture = 10

Let the number of pounds peanuts = x

Let the number of pounds cashews = y

Let the number of pounds raisins be equal to z

Hence,

x + y + z = 10

The mixture has twice as many peanuts as cashews.

2y= x

= 2y + y + z = 10

= 3y + z = 10

z = 10 - 3y

Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16.

x × $1 + y × $2 × z × $2 = $16

x + 2y + 2z = 16......Equation 2

We Substitute.(2y = x), (z = 10 - 3y)

2y + 2y + 2(10 - 3y) = 16

4y + 20 - 6y = 16

20 - 16 = 6y - 4y

4 = 2y

y = 4/2

y = 2 pounds

z = 10 - 3y

z = 10 - 3(2)

z = 10 - 6

z = 4 pounds

2y= x

2(2) = x

x = 4 pounds

How much of each ingredient did the store use to make the mixture?

The number of pounds peanuts = x = 4 pounds

The number of pounds cashews = y = 2 pounds

The number of pounds raisins be equal to z = 4 pounds

Answer:

The wire should be placed at a height of 2.25 inches from the bottom

Step-by-step explanation:

With the assumption that the shape of the solar hot-dog cooker is a parabola. we have the equation for the shape given as y = a·x² + b·x + c

Whereby the coordinates of the vertex is taken as (h, k) = (0, 0), we have;

c = 0

∴ y = a·x² + b·x

From the diagram, we have;

When x = 6, y = 4

When x = -6, y = 4

Which gives;

4 = a·(-6)² + b·(-6) = 36·a - 6·b

4 = 36·a - 6·b.........................................(1)

4 = a·(6)² + b·(6) = 36·a + 6·b

4 = 36·a + 6·b........................................(2)

Subtracting equation (1) from equation (2) gives;

4 - 4 = 36·a - 6·b - (36·a + 6·b) = -12·b

0 = -12·b

b = 0

Therefore;

4 = 36·a - 6×0

a = 4/36 = 1/9

The focus = F(h, k + p)

p = 1/(4·a) = 1/(4 × 1/9) = 1/(4/9) = 9/4 in = 2.25 inches

The coordinates of the focus, F = (h, k + p) = (0, 9/4) = (0, 2.25)

Therefore, the wire should pass through the focus and placed at 2.25 inches above the bottom.

Answer:

24 centimeters

Step-by-step explanation:

Answer:

63,360

Step-by-step explanation:

Add and multiply

Answer:

yes

Step-by-step explanation:

By the converse of Pythagoras' identity.

If the longest side squared is equal to the sum of the squares of the other 2 sides, then the triangle is right.

longest side = 50.5

50.5² = 2550.25

10² + 49.5² = 100 + 2450.25 = 2550.25

Thus the given triangle is right.

Answer:

yes and no

Step-by-step explanation:

Answer:

x=1.5

Step-by-step explanation:

Answer:

exact form x=7/4

decimal form x=1.75

mixed number form x=1 3/4

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

Answer:

its a function

Step-by-step explanation:

hope this helps.

Yes, it is a function

Answer:

Step-by-step explanation:

AB // CD and E F is transversal

∠  E FA = ∠F ED     {alternate interior angles}

∠E FA = x

In Δ AG F,

∠G FA + ∠F AG +∠AG F = 180   {angle sum property of triangle}

x  + 2 x + 3 x = 180         {Combine like terms}

               6 x = 180        {divide both sides by 6}

                x = 180/6

x = 30

Answer:

A. It cannot be modeled with a rectangle.

Step-by-step explanation:

got it right on edge

The statement i.e. true related to the prime polynomial is the first option.

A polynomial that contains the integer coefficients but the same should not be factored into the lower degree polynomials.

So here it cannot be modeled with the square, it can be modeled with the positive titles, also it cannot be modeled with the odd titles. But it cannot be modeled with a rectangle.

hence, the first option is correct.

learn more about polynomial here: https://brainly.com/question/24448736

Answer:

-2

Step-by-step explanation:

Answer:

(see below)

Step-by-step explanation:

You can also solve this algebraically:

–5 – (–3)

–5 + 3

–2

Since it can't be negative units between two points on a number line, you can multiply it by –1 to make it a positive number:

–2 (–1)

2 units

Or, you can use a number line. I have screenshotted a number line attached below for you.

Hopefully this helps!

Answer:

Step-by-step explanation:

Hope this helps! <3

( Pic Below )

Answer:

Its 12h

Step-by-step explanation:

It just makes since Antwan pays 12 per hour then you just need to multiply the

hours per 12 hours

Answer:

I think it is 11

Step-by-step explanation:

Answer:

A. 11

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