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3 years ago

How do I solve for x?

Mathematics

1 answer:

Lerok [7]3 years ago

3 0

Answer:

x=11 degrees

Step-by-step explanation:

There's a property of a triangle where the sum of two of the interior angles is equal to 180-(last interior angle). In this case, 180-(last interior angle) is equal to 7x-1, because angles BAE and BAC are supplementary, which means that they add up to 180 degrees.

So, we can set up an equation

(56)+(2x-2)=(7x-1)

Solving, we get

56+2x-2=7x-1

56-2=5x-1

54+1=5x

55=5x

11=x

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ad-work [718]

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3 years ago

You are graphing y < 2x + 1. What type of line do you use and where do you shade?

bazaltina [42]

Since there isn't a line under the < sign, this means that we used a dotted or dashed line. The dotted or dashed line indicates that we do NOT include the boundary as part of the solution set.

Since y is isolated and we have a less than sign, this means we shade below the dashed/dotted boundary line. Specifically, the boundary line is the graph of y = 2x+1. This boundary line goes through (0,1) and (1,3). Again, points on this boundary line are NOT part of the solution set.

So in summary we have:
A dashed or dotted boundary line
The shaded region is below the dashed/dotted boundary line.

3 0

4 years ago

What is the probability that the sum is a multiple of 4 when you roll to number cubes

GREYUIT [131]

Answer:

Step-by-step explanation:

1/4

4 0

3 years ago

Suppose that two cards are randomly selected from a standard 52-card deck. (a) what is the probability that the first card is

Savatey [412]

(a) without replacement:
P(S)=13/52=1/4
P(SS)=(1/4)*(12/51)=1/17
Probability of selecting two spades without replacement is 1/17.

(b) with replacement
P(S)=13/52=1/4
P(SS)=(1/4)(13/52)=1/16
Probability of selecting two spades with replacement is 1/16.

8 0

3 years ago

The board of directors of a corporation must select a president, a secretary, and a treasurer. In how many possible ways can thi

pentagon [3]

Answer:

9,240 ways possible in which this can be accomplished if there are 22 members on the board of directors.

Step-by-step explanation:

Total number of available members in the board = 22

The number of posts chosen are a president, a secretary, and a treasurer.

For the Post of President:

The number of available options to choose a president = 22 options

For the Post of Secretary:

As we can not repeat the members because one person CANNOT hold two positions simultaneously.

The number of available options to choose a secretary = 21 options

For the Post of Treasurer:

As we can not repeat the members because two person CANNOT hold three positions simultaneously.

The number of available options to choose a treasure = 20 options

Now, the possible ways can this whole election be accomplished is the product of all possible options

= 22 option x 21 option x 20 option

= 9,240 ways

Hence, there are 9,240 ways possible in which this can be accomplished if there are 22 members on the board of directors.

4 0

3 years ago