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4 years ago

X = [? ]° 117 124° 107 102 145

Mathematics

1 answer:

dalvyx [7]4 years ago

4 0

Answer:

x = 125°

Step-by-step explanation:

The sum of angles in an n-sided polygon is (180°)(n -2). For a hexagon, the sum of angles is ...

(180°)(6 -2) = 720°

We can use this to find x.

x +117° +124° +102° +145° +107° = 720°

x = 720° -595°

x = 125°

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F(x)={5−1 if 1≤x<7, if 7≤x≤13. Evaluate the definite integral by interpreting it as signed area.

Ivenika [448]

Answer:

\int\limits^7_1 {f(x)} \, dx =24

\int\limits^13_7 {f(x)} \, dx =24

Step-by-step explanation:

From Exercise we have f(x)=5-1 , we get f(x)=4.

We calculate integral, if 1≤x<7, we get

\int\limits^7_1 {f(x)} \, dx =\int\limits^7_1 {4} \, dx =4[x]\limits^7_1=4(7-1)=4·6=24

We calculate integral, if 7≤x<13, we get

\int\limits^13_7 {f(x)} \, dx =\int\limits^13_7 {4} \, dx =4[x]\limits^13_7=

=4(13-7)=4·6=24

Therefore, we conclude that the given two integrals are the same.

6 0

3 years ago

Which rule describes the transform that is a reflection across the y-axis?

ale4655 [162]

$\huge{ANSWER}$

The change in the sign of the x coordinate transformed and no change in value of y coordinate shows transformation with y axis.

7 0

3 years ago

Read 2 more answers

Consider the similar triangles.

erastova [34]

Answer:

What is the measure of angle J?

42 degrees

Which side of AMNO corresponds to JK?

What is the ratio of the larger triangle to the smaller triangle?

2/1

7 0

3 years ago

Read 2 more answers

Una compañía de danza de 156 bailarines hace una coreografía formando filas y columnas.Si en una fila hay 20 bailarines más que

Zigmanuir [339]

Responder:

Por favor, consulte la explicación.

Explicación paso a paso:

Dado lo siguiente:

Número de bailarines = 156

Sea número de bailarines en una columna = c

Número de bailarines seguidos = c + 20

Multiplicar el número de bailarines en fila y columna dará el número total de bailarines.

Por lo tanto,

c * (c + 20) = 156

c² + 20c = 156

c² + 20c - 156 = 0

c² + 26c - 6c - 156 = 0

c (c + 26) - 6 (c + 26) = 0

(c + 26) = 0 o (c - 6) = 0

c = - 26 o c = 6

C no puede ser negativo

Por lo tanto,

Número de bailarines en columna = 6

Número de bailarines en fila = 20 + 6 = 26

6 0

3 years ago

[(y+4)/(y+7)]+1=(y+3)/(y+1)

Sunny_sXe [5.5K]

<span>First note that y cannot equal -7 or -1 as division by zero is undefined. So that if it comes up in our solution we know that it is not a real solution.

[(y+4)/(y+7)]+1=(y+3)/(y+1) make the left side have a common denominator

(y+4+y+7)/(y+7)=(y+3)/(y+1) combine like terms on left side

(2y+11)/(y+7)=(y+3)/(y+1) cross multiply

(2y+11)(y+1)=(y+3)(y+7) expand

2y^2+13y+11=y^2+10y+21 subtract y^2 from both sides

y^2+13y+11=10y+21 subtract 10y from both sides

y^2+3y+11=21 subtract 21 from both sides

y^2+3y-10=0 expand so factoring is easier

y^2-2y+5y-10=0 factor

y(y-2)+5(y-2)=0 which is equal to

(y+5)(y-2)=0

y=-5 or 2</span>

6 0

3 years ago