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gayaneshka [121]
3 years ago
10

What is the value of x? Enter your answer in the box.

Mathematics
2 answers:
egoroff_w [7]3 years ago
5 0

180 ÷ 3 = 60 (<em>RST</em>)

60  = 7x + 4 (<em>RT</em>)

56=7x (<em>S</em>)

\bf\boxed{{x=8}}

We see the 3 step method. In this case, we're NOT going to go all the way to a 360, because this is NOT a rectangle neither a square. So, we only go 180. Anyways, 360 by 2 = 180. it's almost the same concept.

So, like we said, the 3 step method. Plug in RTS and simplify by 180. Then, we brake it down from there.

charle [14.2K]3 years ago
4 0

Hi there!

We know that RST is an equilateral(all 3 sides the same length) triangle, and is therefore equiangular(all 3 angles the same value).  Therefore, angle S and is equal to one-third of the triangle's angle measure.  

180/3=60

60=7x+4

56=7x

x=8

-AwesomeRepublic  :)

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kiruha [24]
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What is x. Please show *all* the steps.
Zolol [24]

The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation

The value of x is 8 or 1

<h3>How to determine the value of x?</h3>

The equation is given as:

5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Rewrite as:

-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Take the  LCM

[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0

Expand

[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0

Evaluate the like terms

[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0

Multiply through by x^2 - 4

x^2 - 12x+ 3x + 8 = 0

Evaluate the like terms

x^2 -9x + 8 = 0

Expand

x^2 -x - 8x + 8 = 0

Factorize

x(x -1) - 8(x - 1) = 0

Factor out x - 1

(x -8)(x - 1) = 0

Solve for x

x = 8 or x = 1

Hence, the value of x is 8 or 1

Read more about equations at:

brainly.com/question/2972832

8 0
2 years ago
The measure of two opposite interior angles of a triangle are and. The exterior angle of the0x−14x+4triangle measures. Solve for
11111nata11111 [884]

Answer:

60 degrees

Step-by-step explanation:

Restructured question:

The measure of two opposite interior angles of a triangle are x−14 and x+4. The exterior angle of the triangle measures 3x-45 . Solve for the measure of the exterior angle.

First you must know that the sum of interior angle of a triangle is equal to the exterior angle

Interior angles = x−14 and x+4

Sum of interior angles = x-14 + x + 4

Sum of interior angles = 2x - 10

Exterior angle = 3x - 45

Equating both:

2x - 10 = 3x - 45

Collect like terms;

2x - 3x = -45 + 10

-x = -35

x = 35

Get the exterior angle:

Exterior angle =   3x - 45

Exterior angle = 3(35) - 45

Exterior angle = 105 - 45

Exterior angle = 60

Hence the measure of the exterior angle is 60 degrees

<em>Note that the functions of the interior and exterior angles are assumed. Same calculation can be employed for any function given</em>

6 0
3 years ago
Which expression means “ 3 less than the quotient of a number and 7
Yanka [14]
X/7-3=6
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9-3=6

I would say choice “C”
7 0
2 years ago
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