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3 years ago

9

What is the value of x? Enter your answer in the box. x = ___

1 answer:

lapo4ka [179]3 years ago

5 0

Answer:

x=8

Explanation:

The picture tells us that the triangle is equilateral (this means that each angle is 60°). We can assume this because each side has been marked with the same line.

Because each angle is equal to 60°, this means that:

7x+4=60

Now solve for x:

7x=56
x=8

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Explain whether the following given sets are closed under addition:

Ivan

Answer:

Step-by-step explanation:

a) Yes.

$\forall\ a,b\ \in\ B,\ a+b\in B\ (since\ 0+0=0)$

b) Yes

$W=\{0,1,2,3,..,\}\ (whole\ numbers)\\\forall\ a,b\ \in\ 3W,\ a+b\in 3W\\since:\\a\ \in\ 3W \Longrightarrow\ \exists\ k_1\in W | a=3*k_1\\\\b\ \in\ 3W \Longrightarrow\ \exists\ k_2\in W | b=3*k_2\\\\a+b=3*k_1+3*k_2=3*(k_1+k_2) \in 3W\\$

c) Yes

$\forall n\ \in\ \mathbb{N}: \Longrightarrow\ n+1 \in\ \mathbb{N}\\$

d) No

$3\in V , 3+3=6\notin V\\$

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3 years ago

Consider the following statements about the effect of different values of a on the function y = ab^x. Which one of the statement

Anna007 [38]

All statements are correct.

4 0

3 years ago

What is the quotient of -18 divided by [-1/6]

Sloan [31]

18?
-18 divided by [-1/6]
is 18
hopefully that's what you were looking for.?!!

4 0

3 years ago

Read 2 more answers

A rectangular dining room table top is 36 inches wide the diagonal to tabletop measures 85 inches how many inches long is a tabl

makvit [3.9K]

Pythagorean theorem: a^2 + b^2 = c^2
36^2 + b^2 = 85^2
1296 + b^2 = 7225
b^2 = 7225 - 1296
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b = square root of 5929
b = 77 inches long

6 0

3 years ago

Which statement is true? The function is only increasing when x ≥ −8. The function is only increasing when x ≥ 0. The function i

Artist 52 [7]

Answer:

THE FUNCTION IS ALWAYS INCREASING.

Complete question: The graph of f(x)= power of 3√x + 8 is shown.

Step-by-step explanation:

See attachment for the missing graph.

when x = -16 ; y = -2

when x = -12 ; y = -1.5

when x = -8 ; y = 0

when x = -6 ; y = 1.25

when x = 0 ; y = 2

when x = 6 ; y = 2.5

As the value of x increases, so does the value of y. Thus, the function is always increasing.

6 0

3 years ago