what's the value of x​

Answer:

x = 4

Step-by-step explanation:

Given that ∆ABC ~ ∆AGF, it follows that their lengths would be proportional to each other. This implies that:

AB/AG = AC/A F

Substitute

55/22 = 30/(4x - 4)

5/2 = 30/(4x - 4)

Cross multiply

5(4x - 4) = 30(2)

20x - 20 = 60

20x - 20 + 20 = 60 + 20

20x = 80

Divide both sides by 20

20x/20 = 80/20

x = 4

9.84 m³ plaster will it take to completely fill the mold.

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Cubic units are used to quantify a solid's volume. For instance, the volume will be given in cubic metres if the dimensions are given in metres. The International System of Units uses this as the reference unit for volume (SI).

We have,

A rectangular prism. (2 1/4m, 2 1/2m, and 1 3/4m represents the size of the prism).

So, the capacity or Volume of mold is

V= l w h

Now, w= 2 1/2 = 5/2 = 2.5 m

and, h=1 3/4 = 7/4 = 1.75 m

and, l= 2 1/4 = 9/4 = 2.25 m

Then, the Volume is

V= 2.5 x 1.75 x 2.25

V = 9.84 m³

Thus, the required volume is 9.84 m³.

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Answer:

Step-by-step explanation:

Answer:

1, 0 or 1, 1/2

Step-by-step explanation:

[tex]\frac{1}{2} = \frac{2}{4}[/tex]

2 goes into 3 once

and doesn't fit into 1

So, [tex]\frac{2}{4}[/tex] goes into [tex]\frac{3}{4}[/tex] once

and it doesn't go into [tex]\frac{1}{4}[/tex]

It could also be 1, 1/2

because half of two can fit into 1

so half of [tex]\frac{2}{4}[/tex] can go into [tex]\frac{1}{4}[/tex]

I don't know which one you're looking for...

Sorry

Answer:

10 I think but I might be wrong

Step-by-step explanation:

.........

Answer:

10

Step-by-step explanation:

You use the pythagorean theorem for this problem.

Answer:

I. The width is 43.5 inches.

II. The length is 24.5 inches.

Step-by-step explanation:

Let the length and width of the rectangle be L & W respectively.

Given the following data;

Perimeter of rectangle = 136 inches

Translating the word problem into an algebraic expression, we have;

L = W - 19 ......equation 1

Perimeter of rectangle = 2(L + W) ......equation 2

To find the dimensions of the rectangle;

136 = 2(L + W)

Substituting eqn 1 into eqn 2, we have;

136 = 2(W - 19 + W)

136 = 2(2W - 19)

136 = 4W - 38

4W = 136 + 38

4W = 174

W = 174/4

W = 43.5 inches

To find the length;

L = W - 19

L = 43.5 - 19

L = 24.5 inches

Answer:

ITS THE 3RD CHOICE

Step-by-step explanation:

JUST DID THIS IN FLVS :3

Answer:

Step-by-step explanation:

Its the second choice "P-value > 0.20", the other guy just sold me....

Given:

The graphed point is (60,-20).

To find:

The ordered pair that would form a proportional relationship with the given point.

Solution:

If y is proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

[tex]\dfrac{y}{x}=k[/tex]

Where, k is the constant of proportionality.

For the given point,

[tex]k=\dfrac{-20}{60}[/tex]

[tex]k=\dfrac{-1}{3}[/tex]

For option (A),

[tex]k=\dfrac{30}{-10}[/tex]

[tex]k=-3\neq \dfrac{-1}{3}[/tex]

For option (B),

[tex]k=\dfrac{-15}{30}[/tex]

[tex]k=-\dfrac{1}{2}\neq \dfrac{-1}{3}[/tex]

For option (C),

[tex]k=\dfrac{10}{-30}[/tex]

[tex]k=\dfrac{-1}{3}[/tex].

The point (-30,10) gives the same value of the constant of proportionality. So, the point (-30,10) forms a proportional relationship with the given point.

Therefore, the correct option is C.

Answer:

its 84 I did the math for you

Answer:

4

Step-by-step explanation:

(6√5)²+x²=14²

36(5)+x²=196

180+x²=196

x²=196-180

x²=16

x=√16

x=4

Answer:

J = 20.11

Step-by-step explanation:

Answer:

S(-2,12)

y= -2(x+2)²+12

Location of coordinate axes:

y=0 → x= -2±√6 (-2-√6,0) (-2+√6,0)

x=0 → y=4 (0,4)

Step-by-step explanation:

1/9 is the correct answer

Answer:

14 min

Step-by-step explanation:

Dividing 840 seconds by (60 sec / 1 min) results in 14 minutes.

( (60 sec / 1 min) is a conversion factor, sec to min or min to sec.)

Answer:

14 minutes

Step-by-step explanation:

840/60 = 14

Answer:

2,016 pi cubic units

Step-by-step explanation:

Answer:

Yes the decimeter centimeter and millimeters is smaller than a meter

Step-by-step explanation:

yes

remember it like this

king hal died mother didn't cry much

(k). (h). (d). (m.). (d). (c). (m)

k-kilometer

h hectameter

d decameter

m metre

d decimetre

c centimeters

m millimetres

that is why

Answer:

-0.75

Step-by-step explanation:

Answer:

The answer is x > 32.

Step-by-step explanation:

1) Subtract 12 from both sides.

[tex] \frac{x}{4} > 20 - 12[/tex]

2) Simplify 20 - 12 to 8.

[tex] \frac{x}{4} > 8[/tex]

3) Multiply both sides by 4.

[tex]x > 8 \times 4[/tex]

4) Simplify 8 × 4 to 32.

[tex]x > 32[/tex]

Therefor, the answer is x > 32.

The required intercepts of the given ellipse  x²/4 + y²/9 = 1 would be (A) (0, ±3).

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.

This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y.

These points satisfy x = 0 because of this.

So, we have the ellipse:

x²/4 + y²/9 = 1

So, the intercepts would accordingly be:

(0, ±3)

Therefore, the required intercepts of the given ellipse  x²/4 + y²/9 = 1 would be (A) (0, ±3).

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Answer:

she has read 60% of her book

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

65+x=150

he has 65 so if he keeps adding to it which is x and then he will get 150.

Answer:

[tex]y = 2x +3[/tex]

Step-by-step explanation:

Given

Parallel: [tex]y = 2x + 5[/tex]

Passes through (1,5)

Required

Determine the equation

Because it is a parallel to [tex]y = 2x + 5[/tex] then they have the slope.

The slope of [tex]y = 2x + 5[/tex] is 2 i.e. from [tex]y = mx + b[/tex]

So:

[tex]m = 2[/tex]

The line equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 2(x - 1) + 5[/tex]

[tex]y = 2x - 2 + 5[/tex]

[tex]y = 2x +3[/tex]

Answer:

$59.5

Step-by-step explanation:

Answer:

5/-1

Step-by-step explanation:

The two points are (-1, -2) and (-2, 3).

Slope is y change over x change.

So... 3-(-2) over -2-(-1).

That is 5 over -1.

Slope is 5/-1.

Hope this helps :D

Answer:

the avocado seed was planted deeper below the ground.

the peach tree had a greater average rate of change between the 6th and 10th weeks after being planted.

Step-by-step explanation:

you’re welcome