Find the value of x please and thank you

Given:

In triangle DEF, HG is parallel to DF.

To find:

The value of x.

Solution:

In triangles DEF and GEH,

[tex]\angle DE F\cong \angle GEH[/tex]          (Common angle)

[tex]\angle EDF\cong \angle EGH[/tex]          (Corresponding angle)

[tex]\Delta DE F\sim \Delta GEH[/tex]             (By AA property of similarity)

We know that corresponding sides of similar triangle are proportional.

[tex]\dfrac{DE}{GE}=\dfrac{DF}{GH}[/tex]

[tex]\dfrac{9+(x+5)}{x+5}=\dfrac{12}{6}[/tex]

[tex]\dfrac{x+14}{x+5}=2[/tex]

[tex]x+14=2(x+5)[/tex]

[tex]x+14=2x+10[/tex]

Isolating variable terms, we get

[tex]x-2x=-14+10[/tex]

[tex]-x=-4[/tex]

[tex]x=4[/tex]

Therefore, the value of x is equal to 4.

Find the area of the sector of the circle given the diameter of the circle is 16 cm, and the central angle of the sector is 45 degrees. Round to the nearest tenth. Use 3.14 for pi.

which of the following could not be a value of probability

HELP​

Question in the picture

if f (x)= x2- 2x : which of the following is the value of f (4)

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Please I need some one to at least explain one of them so I can know how to do the rest

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An image of 5 triangles on a 14 by 12 grid is shown.Triangle 1 has a base that is 4 units long. The upper vertex is 4 units above the midpoint of the base. To the right, triangle 2 has a horizontal leg that is 3.5 units long and a vertical leg that is 4 units long. A small square is positioned in the triangle at the lower left vertex. Below triangle 1, triangle 3 has a horizontal leg that is 3.5 units long and a vertical leg that is 4 units long. A small square is positioned inside this triangle at the upper right vertex. Triangle 4 is toward the center of the grid. It has a horizontal leg that is 1 unit long and a vertical leg that is 4 units long. A small square is positioned inside this triangle at the upper right vertex. Triangle 5 is to the lower right. It has a horizontal leg that is 6 units long and a vertical leg that is 4 units long. A small square is positioned inside this triangle at the lower left vertex.
A. 1, 2, and 3
B. 1 and 4
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D. 2 and 3

what is the volume PLEASE HELP

In the given right triangle, find the missing length to the nearest tenth.

a. 6.1 ft

b.21.1 ft

c.7.1 ft

d.21.4 ft

4. If the area of a semi-circle is 100.48 square inches, what is the radius
of the circle ? *
A) 16 inches
B) 8 inches
C) 4 inches
D) 2 inches

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120 sq cm
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SA = [ ? ]7 cm?
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Help me please , will mark brainliest

Which of the following could be classified as a census?

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When simplified, the expression shown below can be written as which choice shown?

(x+3)(x-3)-(x+5)(x-5)

(1) 2(x-17)
(3) -34
(2) 2(x-8)
(4) 16

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Simplify the expression:
8(-4 + 3c)

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The expression represents a
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PLEASE HELP see picture


66 pts
LOGARITHMIC

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Look at the picture and thanks

-6y + 12 = - 66
I feel like I lost my brain today I can’t think right... can you help me out