All categories

2 years ago

5. ALGEBRA Refer to the figure in

Mathematics

1 answer:

mamaluj [8]2 years ago

5 0

The value of $x$ that satisfies all the expressions of the system of linear equations is 20.

<h3 /><h3>Procedure - Determination of a variable associated to a pair of corresponding angles</h3>

According to the figure, angles 1 and 5 are <em>corresponding</em> angles between two <em>parallel</em> lines, therefore we have the following equivalence:

$4\cdot x + 40 = 120$ (1)

After some algebraic handling we find the value of $x$ :

$4\cdot x = 80$

$x = 20$

The value of $x$ that satisfies all the expressions of the system of linear equations is 20. $\blacksquare$

<h3>Remarks</h3>

There is a missing figure for the statement, we proceed to include it below after some research.

To learn more on angles, we kindly invite to check this verified question: brainly.com/question/15767203

You might be interested in

Can you give me answer to both questions am confused . Thank you .

Naddik [55]

For the first one, it would be 5/3 and 19/3
the second one would be 40

5 0

3 years ago

Find the value of C that completes the square for x^2-2x + C

solniwko [45]

Answer:

C = 1.

Step-by-step explanation:

x^2 - 2x = (x - 1)^2 - 1 so:

x^2 - 2x + C = (x - 1)^2 - 1 + C

So to get a perfect square C must be 1 ( as -1 + 1 = 0):-

(x - 1)^2 - 1 + 1 = (x - 1)^2

Checking this:

x^2 - 2x + 1

= (x - 1)(x - 1) which is a perfect square./

3 0

3 years ago

What is a diameter and what is a radius?

Mrac [35]

Radius is the length of the line segment from the center of the circle to an endpoint on the circle and diameter is twice the length of the radius of the circle.

5 0

2 years ago

Read 2 more answers

The measurement of one angle of a right triangle is 34°.

Svetllana [295]

The third angle is 56 degrees because it is a right <u>triangle</u>, so the three angles will add up to 180 degrees. Since it is a right triangle, you know one angle is 90 degrees. All you have to do is add 90 and 34, and then subtract that from 180 to get your third angle.

4 0

3 years ago

The diameter of a cookie is 2 inches. If pico’s 3.14, what is the area of the cookie, rounded to the nearest 10th?

Amanda [17]

For this case we must find the area of the cookie, knowing that it has a circular shape. By definition, the area of a circle is given by:

$A = \pi * r ^ 2$