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Viktor [21]
3 years ago
11

What is the solution to the equation

Mathematics
2 answers:
Elis [28]3 years ago
8 0

Answer:

x = -13

Step-by-step explanation:

Distribute:

8 - 6x + 10x - 15 = 20 - 5x

Combine like terms:

4x - 7 = 20 - 5x

Isolate Variable

-x = 13

-1(-x) = -1(13)

x = -13

Montano1993 [528]3 years ago
8 0

Answer: x=3

Step-by-step explanation:

You need to apply Distributive property on the left side of the equation:

2(4-3x)+5(2x-3)=20-5x\\\\8-6x+10x-15=20-5x

Now you must add the like terms on the left side of the equation:

-7+4x=20-5x

Add 5x to both sides:

-7+4x+5x=20-5x+5x\\\\-7+9x=20

Add 7 to boht sides of the equation:

-7+9x+7=20+7\\\\9x=27

And finally, divide both sides by 9:

\frac{9x}{9}=\frac{27}{9}\\\\x=3

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the area of a window is 40 square feet. the length is the square root of 20 feet. what is the width of the window
Irina18 [472]
----------------------------------------------------
Given information
----------------------------------------------------
Area = 40ft²
Length = √20 ft

----------------------------------------------------
Formula
----------------------------------------------------
Area = Length x Width

----------------------------------------------------
Find Width
----------------------------------------------------
40 = √20 x width
Width = 40 ÷ √20
Width = 40 ÷ 2√5
Width = 20 ÷ √5
Width =  \frac{20}{ \sqrt{5} }

Answer: \boxed {Width = \frac{20}{ \sqrt{5} }}

3 0
4 years ago
What is the solution to the equation? 7x + 6 = -22
trapecia [35]

C.) x = -4 is the correct answer

Step-by-step explanation:

In order to solve the equation we have to isolate x on one side of equation

Given

7x + 6 = -22

Subtracting 6 from both sides

7x+6-6=-22-6\\7x=-28

Dividing both sides by 7

\frac{7x}{7}=\frac{-28}{7}\\x=-4

Hence,

C.) x = -4 is the correct answer

Keywords: Linear equation

Learn more about linear equation at:

  • brainly.com/question/5527192
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#LearnwithBrainly

7 0
3 years ago
Mr .moris wrote a double fact.it has a sum greater than 6.the numbers that he added are each less than 6.what fact might he have
marta [7]
How could have written 5 and 4. But there are more answers.
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An isosceles trapezoid is a quadrilateral with two congruent legs and a pair of parallel bases. Prove the base angles of an isos
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now, we know that the slanted legs are congruent, since it's an isosceles trapezoid, we also know that the bases are the parallel sides, so, the "altitude" or distance from those bases are the same length, for each of those triangles in the picture.

now, the bases are parallel, that means the altitude segment is perpendicular to the base, the longest side at the bottom, so, we end up with a right-triangle that has a Hypotenuse and a Leg, equal to the other triangle's.

thus, by the HL theorem for right triangles, both of those triangles are congruent, and if the triangles are congruent, all their sides are also, including the ones on the base.

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4 years ago
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Answer:

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Step-by-step explanation:

let's start with the 90 degrees angle.

this is C in the first, and T in the second triangle.

so, C and T must be aligned.

and the we go around.

F ~ H

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6 0
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