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3 years ago

37 + 20x = 117 what is x?

Mathematics

2 answers:

Phoenix [80]3 years ago

6 0

1. 37+20x=117. 2. -37 on both sides
3. 20x=80. 4. Divide 20 by 80. 5. X=4

lutik1710 [3]3 years ago

3 0

Answer: $x=4$

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-37' to each side of the equation.

$37 + -37 + 20x = 117 + -37$

Combine like terms: 37 + -37 = 0

$0 + 20x = 117 + -37\\20x = 117 + -37$

Combine like terms: 117 + -37 = 80

$20x = 80$

Divide each side by '20'.

$20/20=1$ (Cross/Mark out)

$80/20 =4$

$x=4$

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2 years ago

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3 years ago

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Hitman42 [59]

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2 years ago

Which is a solution to the equation? (x −2)(x + 5) = 18

kifflom [539]

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3 years ago

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What is the length of Line segment B C, rounded to the nearest tenth? 13. 0 units 28. 8 units 31. 2 units 33. 8 units.

Len [333]

The length of the line segment BC is 31.2 units.

<h2>Given that</h2>

Triangle ABC is shown.

Angle ABC is a right angle.

An altitude is drawn from point B to point D on side AC to form a right angle.

The length of AD is 5 and the length of BD is 12.

<h3>We have to determine</h3>

What is the length of Line segment BC?

<h3>According to the question</h3>

The altitude of the triangle is given by;

$\rm Altitude = \sqrt{xy}$

Where x is DC and y is 5 units.

Then,

The length DC is.

$\rm Altitude = \sqrt{xy}\\
\\
12 = \sqrt{(DC) \times 5}\\
\\
\sqrt{DC } = \dfrac{12}{\sqrt{5}}\\
\\
$

Squaring on both sides

$\rm DC = \dfrac{144}{5}\\
\\
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Considering right triangle BDC, use the Pythagorean theorem to find BC:

$\rm BC^2 = DC^2+BD^2\\\\ BC^2 = (28.8)^2+(12)^2\\

\\
BC = \sqrt{829.44+144}\\
\\
BC = \sqrt{973.44}\\
\\
\rm BC = 31.2 \ units$

Hence, the length of the line segment BC is 31.2 units.

To know more about Pythagoras Theorem click the link given below.

brainly.com/question/26252222

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2 years ago