All categories

3 years ago

In the diagram below, the horizontal lines are parallel. Find the value of x

Mathematics

2 answers:

weeeeeb [17]3 years ago

8 0

Answer:

x = 128 degrees

Step-by-step explanation:

all triangles contain 180 degrees

the upper left corner angle is 52 degrees because 180 -90 - 38 = 52.

angle x is supplementary to 52 degrees so x = 180 -52 = 128 degrees

sashaice [31]3 years ago

6 0

Answer:

x = 128°

Step-by-step explanation:

the interior ∡ (created by the 2 parallel lines) adjacent to the 38° ∡ measures 142°

therefore, we know the measure of the alternate interior and exterior angles created by the parallel lines as well

the second 38° ∡ is vertical to the top angle of the little right triangle, so the angle that forms a linear pair with 'x' is 180-(90+38), or 52°

therefore, m∡x = 180-52, or 128°

You might be interested in

Which of the following options is an equivalent function to f(x) = 2(5)^2x?

raketka [301]

2(25)^x would be the correct equivalent function

3 0

3 years ago

Read 2 more answers

What key features are necessary and how they can be used to create the sketch of a polynomial function?

Tomtit [17]

The key features of polynomials are the vertex, axis of symmetry, x and y intercepts.

1. The degree will help you find the end behavior.

2. The vertex shows you where it changes concavity.

3. X and y intercepts give you a couple of points of reference.

4. Axis of symmetry is only applicable to even degree polynomials.

I am hoping that these answers have satisfied your queries and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

4 0

2 years ago

Which is the completely factored form of the following equation? 4a4b2−21a2b+5=0

r-ruslan [8.4K]

The completely factored equation is (a²b - 5)(4a²b - 1)

<h3>How to factor equation?</h3>

4a⁴b² - 21a²b + 5 = 0

let's expand the equation

Therefore,

4a⁴b² - 21a²b + 5 = 0

4a⁴b² - 20a²b - a²b + 5 = 0

Rearrange the equation

4a⁴b² - a²b - 20a²b + 5 = 0

Let's factorise the equation

4a⁴b² - a²b - 20a²b + 5 = 0

a²b(4a²b - 1) - 5(4a²b - 1) = 0

Therefore, the completely factored equation is as follows:

a²b(4a²b - 1) - 5(4a²b - 1) = 0

(a²b - 5)(4a²b - 1)

learn more on equation here: brainly.com/question/8842252

#SPJ1

4 0

1 year ago

Kaylee has $100 to put toward purchasing a computer and plans on paying $30 a month until she pays off the value of the computer

yKpoI14uk [10]

Answer:

y=100-30x

Step-by-step explanation:

3 0

3 years ago

What is the vertex form of Y = x2 - 6x + 6?

ahrayia [7]

Answer:

$\large\boxed{y=(x-3)^2-3}$

Step-by-step explanation:

The vertex form of a quadratic equation y = ax² + bx + c:

y = a(x - h)² + k

(h, k) - coordinates of a vertex

We have the equation y = x² - 6x + 6.

Convert to the vertex form:

$y=x^2-2(x)(3)+6\\\\y=\underbrace{x^2-2(x)(3)+3^2}_{(*)}-3^2+6\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\qquad(*)\\\\y=(x-3)^2-9+6\\\\y=(x-3)^2-3\to h=3,\ k=-3$

7 0

2 years ago