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2 years ago

Angle A is three times the size of angle B.

Mathematics

1 answer:

sweet-ann [11.9K]2 years ago

4 0

First, let's declare our variables

B = x+2

A = 3(x+2)

Now, let's create our expression.

A + B = 128

Plug in the values for A and B

x+2 + 3(x+2) = 128

We need to solve for x. Start off by simplifying the left side.

x+2 + 3x + 6 = 128

Combine like terms.

4x + 8 = 128

Subtract 8 from both sides.

4x = 120

Divide both sides by 4

x = 30

B = x+2 = 30 + 2 = 32 degrees

A = 3(x+2) = 3(30+2) = 3(32) = 96 degrees

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2,3,5,9,17,33 what are the next three terms?

stich3 [128]

The next three terms of sequence are 65, 129 and 257

Solution:

Given sequence is:

2, 3, 5, 9, 17, 33

We have to find the next three terms in sequence

Let us find the logic used in this sequence

$2 + 2^0 = 2 + 1 = 3\\\\3 + 2^1 = 3 + 2 = 5\\\\5 + 2^2 = 5 + 4 = 9\\\\9 + 2^3 = 9 + 8 = 17\\\\17 + 2^4 = 17 + 16 = 33$

Thus the sequence is increasing by 2 raised to power 0, 1, 2 and so on

Thus the next three terms are found by:

$33 + 2^5 =33 + 32= 65\\\\65 + 2^6 = 65 + 64 = 129\\\\129 + 2^7 = 129 + 128 = 257$

Thus the next three terms of sequence are 65, 129 and 257

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2 years ago

Perform the indicated operation and write in standard form 5i+(-9-i)

antoniya [11.8K]

Since the sign before the parentheses is a + , we can just remove the parentheses.

5i + (-9 - i) = 5i - 9 - i = -9 + 4i

3 0

3 years ago

Read 2 more answers

(30 points)Red Rocks Parks is an open air amphitheater carved out of rock, near Denver Colorado. The amphitheater has 69 rows of

Kobotan [32]

Answer:

En la última fila de la zona general hay 98 asientos y en la zona preferencial hay 564 asientos.

Explicación paso a paso:

= 1 + − 1 ×

40 = 20 + 40 − 1 × 2

40 = 20 + 39 × 2

40 = 20 + 78

40 = 98

= (1 + ) 2 ×

12= (36 + 58) 2 ×12

12 = 47 × 12

12 = 564

Step-by-step explanation:

dame corona

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3 years ago

Please help it is 10th grade Equations of lines and circles 7. Michael is hanging out in the park and needs to keep his so

frosja888 [35]

Step-by-step explanation:

1) the required equation in common form is:

(x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - coordinates, where Michael is standing; r - the social distance;

According to the common form and given coordinates (x₀=-5; y₀=2; r=6) it is possible to make up the required equation:

(x+5)²+(y-2)²=6².

2) if the distance between two friends is:

$d=\sqrt{(-5-1)^2+(2-1)^2}=\sqrt{37}, \ then$

this distance is longer than social (6 ft). For more info see the attachment.

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