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1 year ago

5. ALGEBRA Refer to the figure in

Mathematics

1 answer:

mamaluj [8]1 year 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

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Luis, using appropriate safety precautions, fires a .22 caliber gun directly into the sky above him. The bullet travels at a spe

Tanya [424]

The equation represents height as a function of time.

The bullet was in the air for 75 seconds.

The equation is given as:

$h(t) = -16t^2 + 1200t$

The time spent in the air is the time it takes the bullet to land on the ground.

When the bullet is on the ground, the height is:

$h(t) = 0$

So, we have:

$h(t) = -16t^2 + 1200t$

$-16t^2 + 1200t = 0$

Factor out t

$t(-16t + 1200) = 0$

Split

$t = 0$ or $-16t + 1200 = 0$

$t = 0$ represents when the shot is fired.

So, we solve for t in $-16t + 1200 = 0$

Collect like terms

$16t = 1200$

Divide both sides by 16

$t = 75$

Hence, the bullet was in the air for 75 seconds

Read more about height and time at:

brainly.com/question/2261757

5 0

1 year ago

What is 8y=23+3x divided by 8?

arsen [322]

8y = 23 + 3x divided by 8: divide ALL numbers by 8
8y/8 is y
23/8 is 23/8
3x/8 is 3/8x
Therefore, the answer would be;
y = 23/8 + 3/8x, which is the same as y = 3/8x + 23/8

6 0

2 years ago

The ratio of men's to women's at a lecture is 2 to 5. If there is 25 women's how many men's are there

andriy [413]

Answer:

Step-by-step explanation:

because 25 is 5 times as much so you multiply 5 by 2 and you get 10.

7 0

2 years ago

Enunciado:Si una empresa determina que sus costos obedecen a un modelo lineal y además sabe que si produce $10$ unidades sus cos

const2013 [10]

Responder:

y = 200x + 2000

Explicación paso a paso:

Deje que la ecuación lineal se exprese como y = mx + c

m es la pendiente

c es la intersección

Si la empresa produce $ 10 unidades, sus costos totales son $ 4000 dólares y si produce $ 15 unidades sus costos ascienden a $ 5000 dólares, entonces podemos representar esto como puntos de coordenadas;

(10,4000) y (15,5000)

Conseguir la pendiente

m = 5000-4000 / 15-10

m = 1000/5

m = 200

Obtener la intersección c

Sustituya m = 2000 y el punto (10, 4000) en la fórmula y = MX + c

4000 = 200 (10) + c

4000-2000 = c

c = 2000

Sustituya m = 200 y c = 2000 en la ecuación y = mx + c

y = 200x + 2000

Por tanto, la expresión lineal requerida es y = 200x + 2000

3 0

2 years ago

Choose all the expressions that have 23 as a product.

love history [14]

Answer:

are you sure this is the right question? none of those have a sum of 23

Step-by-step explanation:

3 0

2 years ago