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yanalaym [24]
3 years ago
5

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

Mathematics
2 answers:
nignag [31]3 years ago
7 0

Answer:

<h2>x = 7</h2>

Step-by-step explanation:

The whole triangle and the small triangle are similar. Therefore the sides are in proportion.

We have the equation:

\dfrac{(2x+10)+3}{40+5}=\dfrac{3}{5}\\\\\dfrac{2x+13}{45}=\dfrac{3}{5}\qquad\text{cross multiply}\\\\5(2x+13)=(45)(3)\qquad\text{divide both sides by 5}\\\\2x+13=(9)(3)\\\\2x+13=27\qquad\text{subtract 13 from both sides}\\\\2x=14\qquad\text{divide both sides by 2}\\\\\boxed{x=7}

olchik [2.2K]3 years ago
4 0

Answer:

The value of x is 7

Step-by-step explanation:

In order to find this, we must create a proportion using the smaller triangle (right/left) and then the whole triangle (right/left)

5/3 = 45/2x+13

Now cross multiply to solve

5(2x + 13) = 45*3

10x + 65 = 135

10x =- 70

x = 7

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The correct answer is 18086.4
6 0
3 years ago
Evaluate the function rule for the given value. f(x)=3^x for x=-5
FromTheMoon [43]

Answer:

\frac{1}{243}

Step-by-step explanation:

using the rule of exponents

a^{-m} ⇔ \frac{1}{a^{m} }

f(- 5) = 3^{-5} = \frac{1}{3^{5} } = \frac{1}{243}


6 0
3 years ago
What’s 3.8 - (-7.45)
Varvara68 [4.7K]

it is 11.25................................

6 0
3 years ago
Which of these are like terms in the following expression:
kumpel [21]

Answer:

The second one (3x, 9x)

Step-by-step explanation:

Like terms are the terms that either have the same variable or have no variable.

7 0
2 years ago
Factor the trinomial<br><br> x^2-9x+4x
8090 [49]

Answer:


Step-by-step explanation:

Simplifying

x2 + -9x = 4x + -4

Reorder the terms:

-9x + x2 = 4x + -4

Reorder the terms:

-9x + x2 = -4 + 4x

Solving

-9x + x2 = -4 + 4x

Solving for variable 'x'.

Reorder the terms:

4 + -9x + -4x + x2 = -4 + 4x + 4 + -4x

Combine like terms: -9x + -4x = -13x

4 + -13x + x2 = -4 + 4x + 4 + -4x

Reorder the terms:

4 + -13x + x2 = -4 + 4 + 4x + -4x

Combine like terms: -4 + 4 = 0

4 + -13x + x2 = 0 + 4x + -4x

4 + -13x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0

4 + -13x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.

4 + -13x + -4 + x2 = 0 + -4

Reorder the terms:

4 + -4 + -13x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0

0 + -13x + x2 = 0 + -4

-13x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4

-13x + x2 = -4

The x term is -13x.  Take half its coefficient (-6.5).

Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.

-13x + 42.25 + x2 = -4 + 42.25

Reorder the terms:

42.25 + -13x + x2 = -4 + 42.25

Combine like terms: -4 + 42.25 = 38.25

42.25 + -13x + x2 = 38.25

Factor a perfect square on the left side:

(x + -6.5)(x + -6.5) = 38.25

Calculate the square root of the right side: 6.184658438

Break this problem into two subproblems by setting  

(x + -6.5) equal to 6.184658438 and -6.184658438.


8 0
2 years ago
Read 2 more answers
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