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nikdorinn [45]
3 years ago
6

Find the value of x. Then the measure of each angle

Mathematics
1 answer:
Shtirlitz [24]3 years ago
4 0
The interior angles of a triangle must add to 180 degrees.

110+5x+2x=180
110+7x=180
7x=70
x=10

Then plug in the x value into each angle expression
5(10)=50 degrees
2(10)=20 degrees
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The polynomial equation x^4 + x^3 + x^2 + x + 1 = 0 has zero positive real roots. Please select the best answer from the choices
const2013 [10]

There are zero positive real roots for the given polynomial equation x^4 + x^3 + x^2 + x + 1 = 0. This is explained by Descarte's rule of signs. So, the best choice is T (true).

<h3>What is Descarte's rule of signs?</h3>
  • Descarte's rule of signs tells about the number of positive real roots and negative real roots.
  • The number of changes in signs of the coefficients of the terms of the given polynomial f(x) gives the positive real zeros of the polynomial.
  • The number of changes in signs of the coefficients of the terms of the given polynomial when f(-x) gives the negative real zeros of the polynomial.

<h3>Calculation:</h3>

The given polynomial equation is x^4 + x^3 + x^2 + x + 1 = 0

On applying Descarte's rule of signs,

f(x)=x^4 + x^3 + x^2 + x + 1

Since there are no changes in the signs of the coefficients of any of the terms in the above polynomial, the polynomial has no positive real roots.

f(-x)=(-x)^4+(-x)^3+(-x)^2+(-x)+1\\      = x^4-x^3+x^2-x+1

Since there are four changes in the signs of the coefficients of the terms of the given polynomial when f(-x), the polynomial has 4 negative real roots.

Therefore, the given polynomial equation has zero positive real roots. So, the correct choice is T(true).

Learn more about Descarte's rule of signs here:

brainly.com/question/11590228

#SPJ1

5 0
1 year ago
Marta y su hermano leyeron un libro cada uno el domingo pasado
laila [671]

Marta leyó 1,625 veces la cantidad de páginas leída por su hermano.

En esta pregunta debemos determinar la razón (r) de la cantidad de páginas <em>leída</em> por Marta (x) a la cantidad de páginas <em>leída</em> por su hermano (y). Es decir,

r = \frac{x}{y} (1)

Si sabemos que x = 52 y y = 32, entonces la razón definida al principio de esta respuesta es:

r = \frac{52}{32}

r = 1,625

Marta leyó 1,625 veces la cantidad de páginas leída por su hermano.

Invitamos cordialmente a consultar esta pregunta sobre razones aritméticas: brainly.com/question/22962732

3 0
2 years ago
In order for two lines to be parallel they must have the same
PolarNik [594]

Answer:

They must have the same slope, but different y-intercepts

Step-by-step explanation:

Slope is rise over run, or the rate of change

8 0
3 years ago
Divide. give the quotient and remainder.<br> 4036/5
melamori03 [73]

Answer:

805.2

Step-by-step explanation:

7 0
2 years ago
A 3-column table with 3 rows. Column 1 is labeled Vehicle with entries Sedan, Minivan, Truck. Column 2 is labeled Miles Traveled
Alexus [3.1K]

Answer:

50

Step-by-step explanation:

3 0
3 years ago
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