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Bess [88]
3 years ago
12

Can anybody help me solve this? You must solve for X first.

Mathematics
1 answer:
gogolik [260]3 years ago
6 0

Answer:

45 degrees

Step-by-step explanation:

angle QRS is same as (2x + 3) because it is an isosceles triangle

so, 90 + (2x+3) + (2x+3) =180 degrees

             2x+3 +2x+3=180-90

2x+2x +3+3=90

4x+6=90

4x=90-6

4x=84

x=84/4

x=21

substitute x=21 in (2x+3)

2*21+3=45

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7/5 squared times blank equals 1
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4 years ago
The width of a rectangle is 4 units shorter than three-fourths the length; x. Write an expression that represents the perimeter
qaws [65]

The expression that represents the perimeter of the rectangle is 4x² + 14x - 3 = 0

<h3>How to determine the expression</h3>

The formula for perimeter of a rectangle is given as;

Perimeter = 2 ( length + width)

Let the length of the rectangle be x

Width of the rectangle be y

From the information given, we have that;

y = 4 - 3/4x

Make into linear equation

y = 16x - 3 / 4x

Now, let's substitute the variables into the formula

Perimeter = 2 (\frac{16x -3 }{4x} + x)

Find the LCM of the bracket

Perimeter = 2(\frac{16x - 3 + 4x^2}{4x} )

Perimeter = \frac{4x^2 + 16x - 3}{2x}

2x = 4x² + 16x - 3

Collect like terms

4x² + 16x - 2x - 3 = 0

4x² + 14x - 3 = 0

Thus, the expression that represents the perimeter of the rectangle is 4x² + 14x - 3 = 0

Learn more about a rectangle here:

brainly.com/question/25292087

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2 years ago
Which function is the inverse of f(x) = -5x-4?
tankabanditka [31]

Step-by-step explanation:

f(x) =  - 5x - 4

\:

<u>Inverse</u>

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x =  - 5y - 4

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y =  -  \frac{(x + 4)}{5}

{f}^{ - 1} (x) =  -  \frac{(x + 4)}{5}

4 0
3 years ago
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