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.

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

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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
C. 1 and 5
D. 2 and 3

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Look at the picture and thanks

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What is the area of the part of the figure that is NOT shaded?

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Question in the picture

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

PLEASE HELP!!!! ANSWER FAST

Which of the following could be classified as a census?

A.) a survey of a percentage of each state’s population about voting choices
B.) a survey of each student in a school about school lunch options
C.) a survey of all the children in a supermarket to determine the favorite cereal brands of the general population
D.) a survey of all the women on Main Street to determine the current movie preferences of all people over age 20

Help me please , will mark brainliest

AYO HELP ME COME ON!!!!!

Please Help!!! I'll give brainliest

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SA = [ ? ]7 cm?
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(1) 2(x-17)
(3) -34
(2) 2(x-8)
(4) 16

Please help with question!

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

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

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10x4 + 1 - 73
The expression represents a
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the leading term is
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WILL GIVE BRAINLIEST AND 20 POINTS

what is the volume PLEASE HELP

4. If the area of a semi-circle is 100.48 square inches, what is the radius
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C) 4 inches
D) 2 inches

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which of the following could not be a value of probability

HELP​

PLEASE HELP see picture


66 pts
LOGARITHMIC

A right rectangular prism has a length of 6 centimeters, a width of 2 centimeters, and
a height of 5 centimeters. What is the surface area of the prism?
104 sq cm
120 sq cm
60 sq cm
72 sq cm