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Schach [20]
2 years ago
6

Answer to the question

Mathematics
1 answer:
KonstantinChe [14]2 years ago
4 0

Answer:

7

Step-by-step explanation:

Step-by-step explanation:  

AB//CD (Opposite sides of parallelogram are parallel)  

Angle A + Angle B = 180 (Sum of interior angles=180)  

179 + 3x - 20 = 180  

3x - 20 = 180 - 179

3x - 20 = 1

3x = 1 + 20

3x = 21

x = 21/3  

x = 7

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bill is on the school archery team. the target has a center bull's-eye and two rings around the bull's-eye. the table gives the
MAVERICK [17]
Given that Bill is on the school archery team. the target has a center bull's-eye and two rings around the bull's-eye.

Given the table below that gives the probabilities of outcomes.

\begin{tabular}
{|c|c|c|c|c|}
\bold{Outcome}&Bull's-eye&Inner ring&Outer ring&Miss\\
\bold{Probability}&0.036&0.297& 0.423&0.244
\end{tabular}

The probability <span>that Bill will get the next arrow in the inner or outer ring is given by
P(inner ring) + P(outer ring) = 0.297 + 0.423 = 0.72</span>

Therefore, <span>the probability that Bill will get the next arrow in the inner or outer ring is 0.72</span>
6 0
3 years ago
Microscope slide shows 37 red blood cells out of 60 blood cells how many red blood cells would be expected in a sample of the sa
Bumek [7]

Answer:

Hope that answers your question

4 0
2 years ago
Question 1: Explain how the letter x (or any letter) is used when writing expressions, and give an example. How are expressions
BaLLatris [955]

Answer:

Question 1:

The letter x or any letter used when writing an expression is representative of  unit of an idea, quantity or measure, such that it can be translated in the expression to provide information about a related idea

Question 2:

The expression can be translated as two times the expression three (variable) x minus two (variable) y plus the constant 7

Question 3:

In the first expression, the like terms are;

10y and (-2y),

3x and x

In the second expression, the like terms are;

-y and -2y

3x and 4x

The first expression simplifies to 8y + 4x + 10

The second expression simplifies to  7x - 3y + 6

Question 4:

The expression is evaluated as 122

Question 5:

The equivalent expression of the expression 3(4x + 2y) + 5x, is 17x + 6y

To prove when x = 1 and y = 2 we have;

3(4×1 + 2×2) + 5×1 is 29

17×1 + 6×2 is 29 which are equivalent in value

Step-by-step explanation:

Question 1:

The letter x or any letter used when writing an expression is representative of  unit of an idea, quantity or measure, such that it can be translated in the expression to provide information about a related idea

Example;

If x is the symbol representing the average number of oranges sold in 1 hour, then the expression for the number of oranges sold per day of 24 hours  = 24·x

An expression is a written mathematical symbolic statement that shows the the finite merging together of representative symbols by the mathematical operations that govern the present constraints

An equation is a statement that two expressions are equal

Question 2:

The given expression is 2(3x - 2y) + 7

The parts are;

The coefficient of (3x - 2y) = 2

The constant term = 7

The variables are x and y

Which gives

The coefficient of the variable x = 6

The coefficient of the variable y = -4

The expression can be translated as two times the expression three (variable) x minus two (variable) y plus the constant 7

or

The expression can be translated as two times the bracket open three times (variable) x minus two times (variable) y bracket close plus the constant 7

or

The expression can be expanded as 2(3x - 2y) + 7 → 6·x - 4·y + 7 which is expressed verbally as follows;

Six times (variable) x minus four times (variable) y plus the constant 7

Question 3:

The expressions are;

10y + 3x + 10 + x  - 2y..........................(1)

3x - y + 4x + 6 - 2y,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,(2)

In the first expression, the like terms are;

10y and (-2y),

3x and x

In the second expression, the like terms are;

-y and -2y

3x and 4x

They are like terms because they can be simply added together to simplify the expressions as follows

10y + 3x + 10 + x  - 2y gives 10y - 2y + 3x + x  10  to give 8y + 4x + 10

Also

3x - y + 4x + 6 - 2y  gives  3x+ 4x - y  - 2y + 6 to give 7x - 3y + 6

Question 4:

The expression 8x² + 25·y when x = 3 and y = 2 is evaluated by replacing (putting) the value x and y (into the expression)

The expression is then evaluated as 8×3² + 25×2 which is the same as 72 + 50 or 122

Question 5:

To write the equivalent expression of the expression 3(4x + 2y) + 5x, we expand the expression as follows;

3×4x + 3×2y + 4x which is 12x + 6y + 4x

We combine like terms;

12x + 5x + 6y which is 17x + 6y

To prove we can check by substituting a value for each of the variables x and y such as x = 1 and y = 2

3(4×1 + 2×2) + 5×1 is 29

17×1 + 6×2 is 29

5 0
3 years ago
Use the distance formula distance, to find the distance to the nearest tenth , between each pair of points A(6,2) and D(-3,-2)
marusya05 [52]

Answer:

The distance between A and D to the nearest tenth is;

9.8\text{ units}

Explanation:

Given the two points;

A(6,2)\text{ and D(-3,-2)}

Applying the distance between two points formula;

d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}

substituting the given coordinates we have;

\begin{gathered} AD=\sqrt[]{(-3-6)^2+(-2-2)^2} \\ AD=\sqrt[]{(-9)^2+(-4)^2} \\ AD=\sqrt[]{81+16} \\ AD=\sqrt[]{97} \end{gathered}

Simplifying;

\begin{gathered} AD=9.8488578 \\ AD\approx9.8 \end{gathered}

Therefore, the distance between A and D to the nearest tenth is;

9.8\text{ units}

4 0
1 year ago
What is x-x? <br> Anyone who answers that in 7 minutes will be given marks
Westkost [7]

Answer:

0

Step-by-step explanation:

x and x are same terms.

7 0
2 years ago
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