12) Find where the discontinuity is removable (hole).

What is the length of the side labeled x cm?

UkoKoshka [18]

When we know 2 angles and one side, we use the Law of Sines.
First we need to find that third angle.
Angle A =
180 -41 -62 = 77 degrees

The Law of Sines states that

side a / Sine (A) = side x / Sine (X)
14 / Sine (77) = side x / Sine (41)

14 * Sine (41) / Sine (77) = side x

side x = 14 * 0.65606 / 0.97437
side x = 9.18484 / 0.97437

 side x = 9.4264396482

5 0

3 years ago

Solve the problem algebraically. Clearly define all variables, write an appropriate equation, and solve.

hichkok12 [17]

Answer:

Y=8 and X=21

Step-by-step explanation:

The key to solving word (story) problems is to learn how to translate words and phrases into concise, precise math expressions (variables and operations). Make a table and add to it as you do problems:

is means =

more than +

twice 2*x

sum +

of usually means multiply

...

Assign variables. Try to assign variables to the values the problem asks you to find.

In this problem, there are two variables. Let x = one number; y = other numbers

Translate:

"One number is 5 more than twice the other number" means

x = 5 + 2 * y

"sum of the two numbers is 29" means

x + y = 29

Now, the easy math.

Use the value for x from the first equation and substitute that into the second equation:

(5 + 2y) + y = 29

5 + 3y = 29 (collect terms)

3y = 24 (subtract 5 from both sides)

y = 8

Now, put that value of y into either equation to solve for x (Which equation is easier??)

x + 8 = 29

x = 21 (subtract 8 from both sides)

Checking (very important):

Is 21 really 5 more than 2(8)?

21 = 5+16 ?

21 = 21? yes

Is 21 + 8 = 29 ?

29 = 29? yes

p.s., learn the process, don't just get the right answer; there will be lots of problems that are solved the same way!

3 0

1 year ago

For 10 points if good enough please help

azamat

Answer:

$0.75

Step-by-step explanation:

convert 5000 milligrams to grams which is 5.

Then multiply 5 by 0.15 to get the price which is 0.75

7 0

4 years ago

What is the measure of ZB? 28 36 B [?] degrees Enter

Sindrei [870]

All triangles have a measurement of 180 degrees. Therefore, we can use this information to make an equation to find the value of angle B.

Angle B = 180 - (28 + 36)
Angle B = 180 - 64
Angle B = 116

So, angle B is equal to 116 degrees.

4 0

3 years ago

PLS HELP I WILL GIVE BRAINLIEST!

VMariaS [17]

Answer:

False

Step-by-step explanation:

Proof: Habitat is an animals main living area you could say, enviornment is the areas they could choose otherwise known as nature.

3 0

3 years ago

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