Quadrilateral GABE is a square.

PLEASE HELP I NEED THIS ANSWERED! Find 90% of 54.

anastassius [24]

The answer to 90% of 54 is 48.6

8 0

4 years ago

Vincent watched 10 episodes of Fortnite online in 2.5 hours. He spent the same of time watching each episode. What is the unit r

myrzilka [38]

each video is 15 minutes long

Step-by-step explanation:

3 0

4 years ago

En un triángulo obtusángulo, uno de los ángulos mide 20° mas que el otro. El tercer ángulo, mide el doble que el mayor de los do

Troyanec [42]

Answer:

La medida del primer ángulo es 30°, la medida del segundo ángulo es 50° y el tercer ángulo mide 100°.

Step-by-step explanation:

Siendo "x" el valor de un ángulo del triángulo obtusángulo, sabes que uno de los ángulos, llamado segundo ángulo, mide 20° más que el primero. Este segundo ángulo se representa como x + 20°.

Además, un tercer ángulo mide el doble que el mayor de los dos, que en este caso es el ángulo cuya expresión es x + 20°. Por lo que el doble de este será 2*(x + 20)°, que será la medida del tercer ángulo.

Teniendo en cuenta que la suma de los ángulos interiores de un triángulo es 180°. Entonces, es posible sumar los valores de cada uno de los ángulos e igualarlos a 180°:

x + x + 20° + 2*(x + 20°) = 180°

Resolviendo:

x + x + 20° + 2*x + 2*20° = 180°

x + x + 20° + 2*x + 40° = 180°

4*x + 20° + 40° = 180°

4*x + 60° = 180°

4*x = 180° - 60°

4*x = 120°

x = 120° ÷ 4

x = 30°

Entonces, la medida del primer ángulo es 30°. El segundo ángulo es calculado como x + 20° = 30° + 20° = 50° mientras que el tercer ángulo es 2*(x + 20°) = 2*(30° + 20°) = 2*(50°) = 100°

La medida del primer ángulo es 30°, la medida del segundo ángulo es 50° y el tercer ángulo mide 100°.

3 0

3 years ago

A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

Recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

At,

n = 1

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

At,

n = 2

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

At,

n = 3

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

At,

n = 4

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

Therefore, the recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

3 years ago

Television sizes are described by the length of their diagonal measure. What would be the listed size of the TV shown? (to the n

prisoha [69]

Answer:

38 inches

Step-by-step explanation:

since we are finding the diagonal we are going to use the equation a^2+b^2=c^2

so if we do substitution we would have 32^2+20^2=C^2

32^2= 1024

20^2= 400

so,

1024 + 400 = C^2

1424 = C^2

to get rid of the C^2 we have to take the square root of it. But whatever we do on one side of the equation we have to do on the other side so,

C = sqrt(1424)

C = 37.73

C = 38 inches

3 0

3 years ago