Find the values of x, y, and z in the triangle to the right.

Answer:

x= g+c-y

Step-by-step explanation:

add c to both sides

subtract y to both sides

leaves x all by itself on one side of the equation.

None. There is no solution. None of them are equal. 2 to the fifth power is 32.

Most of them equal to something above 80 or are between 50 and 200.

Answer:

8/21

Step-by-step explanation:

-1/3 + 5/7=1×7 =-7/21 +15/21

- × -

3. 7

-7/21 + 15/21= -7+15 = 8/21

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21

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Explanation:

Note that 2^4 = 16 is one less than 17.

Because of this nature of being 1 less, we can say the remainder of 16/17 is -1 because it comes up one short.

In terms of modular arithmetic, we can say,

[tex]2^4 \equiv 16 \ (\text{mod } 17)\\\\2^4 \ \equiv -1 (\text{mod } 17)\\\\[/tex]

Then let's raise both sides to the 20th power. I'm picking 20 because 20*4 = 80 which will help build toward 81

[tex]2^4 \equiv -1 \ (\text{mod } 17)\\\\\left(2^4\right)^{20} \equiv (-1)^{20} \ (\text{mod } 17)\\\\2^{20*4} \equiv 1 \ (\text{mod } 17)\\\\2^{80} \equiv 1 \ (\text{mod } 17)\\\\[/tex]

Lastly, we'll multiply both sides by 2 to get to the final answer

[tex]2^{80} \equiv 1 \ (\text{mod } 17)\\\\2*2^{80} \equiv 2*1 \ (\text{mod } 17)\\\\2^{1}*2^{80} \equiv 2 \ (\text{mod } 17)\\\\2^{1+80} \equiv 2 \ (\text{mod } 17)\\\\2^{81} \equiv 2 \ (\text{mod } 17)\\\\[/tex]

So if we were to divide 2^81 over 17, then we get some quotient and a remainder of 2

Step-by-step explanation:

setup a porportion. Make it pages/cards. Solve for the number of pages, p.

[tex] \frac{3}{18} = \frac{p}{234} [/tex]

reduce the fraction 3/18

[tex] \frac{1}{6} = \frac{p}{234} [/tex]

cross multiply

[tex]6p = 234[/tex]

divide by 6

[tex] \frac{6p}{6} = \frac{234}{6} [/tex]

[tex]p = 39 \: pages[/tex]

There are 39 pages he will hold for 234 cards.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent

to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Alexander has Collection of baseball cards which he wants to organize.

Now, By the given table;

The ratios for Pages to cards are,

Number of pages : Number of cards

⇒ 3 : 18

After simply;

⇒ 1 : 6

And, 6 : 36 = 1 : 6

Thus, Let number of pages for the given cards = x

Then, By the definition of ratio we get;

x : 234 = 1 : 6

Solve for x as;

x / 234 = 1/6

x = 234/6

x = 39

Thus, There are 39 pages he will hold for 234 cards.

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Answer:

Would x not be 70 degrees as it corresponds to the 70 on the bottom line?

Step-by-step explanation:

Answer:2

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Since, line a is parallel to line t ( from diagram ).

x - 30 and 70 are alternate interior angles.

Reason : -

Alternate interior angles are equal when two lines are parallel and cut by a transversal line.

x - 30 = 70

x = 70 + 30

x = 100

Answer: the answer is the last one, 2 and one thirds minus two and two thirds

Step-by-step explanation: free the equation from parentheses by multiplying 1/3 by 5x and 8. equals 5/3x - 8/3 + 2/3. Combine x's for 7/3 - 8/3. Convert into mixed numbers fo final equation

Answer:

0+0

Step-by-step explanation:

0+0=0 and 7x0=0

Answer:

0+0

Step-by-step explanation:

0+0=0 7x0=0

Answer:

its positive corelation and doesnt show causation

Step-by-step explanation:

Answer:

its positive correlation and cannot show causation

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

setup a ratio using the length and perimeter then reduce it.

[tex] \frac{2}{8} [/tex]

reduces to

[tex] \frac{1}{4} [/tex]

the numerator is length and denominator is perimeter. setup the proportion

[tex] \frac{1}{4} = \frac{12}{p} [/tex]

cross multiply

[tex]1p = 48[/tex]

1 times p = p, so the answer is 48

help me to answer the question

Answer:

611800

Step-by-step explanation:

is the answer

i think

Answer:

Assuming "x2" is x squared:

5x(x2-4x+2)

(5x(x2)+5x(-4x)+5x(2))

5x^3-20x+10x

For these polynomial multiplication problems, just distribute the number outside the parentheses.

Answer:

[tex]5x^3-20x^2+10x[/tex]

Using the percentage principle, the estimated and actual sale price of the Home are $275, 000 and $307,000 respectively.

Estimated commison = $8250

Let Estimated sale price = P

3% × P = 8250

0.03p = 8250

p = 8250 / 3

p = $275000

Actual commission earned = $9210

Let Actual sale price = P

3% × P = 9210

0.03p = 9210

p = 9210 / 3

p = $307,000

Therefore, the estimated and actual sale price are $275,000 and $307,000 respectively.

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Answer:

Step-by-step explanation:

Done

The expected value from a single die roll Given the Conditions stated is $3

The expected value is calculated using the relation :

The table of probabilities from a single roll :

The expected value calculation :

Therefore, the expected value of a single die roll is $3

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Answer:

Step-by-step explanation:

We can observe the figures are mirrored over y- axis.

This is a reflection and the rule is:

Answer is C. Layaway

44% discount

(2200 is 44% of 5000)

Answer:

$20

Step-by-step explanation:

Divide 40 by 8. Then multiply that answer by 4.

You divide 40 by 8 to see how much 1 car wash takes. Then multiply it by how many cars is in the question.

Answer:

[tex]20 = (x + 1) \times 10 \times 0.5 \\ = 5 \times (x + 1) \\ x + 1 = 20 \div 5 = 4 \\ x = 4 - 1 = 3 \\ enjoy \: it[/tex]

The value of 11(d-c)+3(c+d) by using the values c=6 and d=9 is 69.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

Expression: 11(d-c)+3(c+d)

Now, put the values of c= 6 and d= 9 we get

11(d-c)+3(c+d)

= 11 (9- 6) + 3( 9+3)

= 11 (3) + 3 (12)

= 33+ 36

= 69

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Answer:

The answer should be D

Step-by-step explanation:

sorry if it's wrong, I just did this test the other day and I forgot if I got it right.

The rational function that is represented by the given graph is [tex]f(x) = \frac{4x - 8}{x^{2} +x-6}[/tex]

Rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.

We need to find out which  rational function is represented by this graph.

Firstly, we see that graph does not exist at x = -3 and x = 2.

Thus, (x+3) and (x-2) cannot be equal to 0.

(x + 3)(x - 2) = x² + x - 6

Thus, the denominator of the function is x² + x - 6.

So, our solution can be B. or D.

We can also see that there is a circle over the graph at x = 2. This means that f(x) is undefined at x = 2. It is possible only if f(x) = ∞/∞ or 0/0 at x = 2.

On putting the value of x = 2 in both B. and D., we find that in D. f(x) = 0/0 at x = 2.

[tex]f(2) = \frac{4*2 - 8}{4 + 2 - 6} = \frac{0}{0}[/tex]

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