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2 years ago

The triangles shown have the same perimeter. What is the value of x?

Mathematics

1 answer:

olga nikolaevna [1]2 years ago

8 0

Answer:

Step-by-step explanation:

Since you know the perimeters are equal, write your equation.

x+6 + x+6 + x+6 = x + x+6 + 2x-6

combine like terms

3x + 18 = 4x

isolate your x by subtracting 3x from each side

18 = x

check your answer:

3x + 18 = 72

4x = 72

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5. Which number lies between -5 and -6 on a number line? *

jeyben [28]

The answer is B because -26/5= -5.2

3 0

2 years ago

At the beginning of the fall, the water level of a lake is 12

spayn [35]

x = normal water level

x - 12 - 13 = x - 25

so it is 25 feet below the normal water level

6 0

3 years ago

Solve the following system of equations <br> x^2+2y^2=59<br> 2x^2+y^2=43

aivan3 [116]

Answer: x = (-3,3), y = (-5,5)

Step-by-step explanation:

Add both of the equations together, for $3x^{2}+3y^{2} = 102$ . Now we can divide both sides by 3, getting $x^2+y^2=34$ . we subtract the first equation from our equation we just got, getting $y^2=25$ y= (5,-5). once we plug that in, we get $50+x^2 = 59$ , $x^2 = 9$ x = (-3,3)

8 0

2 years ago

If point B, shown on the coordinate plane below, is reflected over the y-axis to create B’, what will be the coordinates of B’?(

Reil [10]

Solution

- The transformation for reflection over the y-axis is given below:

$(x,y)\to(-x,y)$

- We have been given the coordinate of B to be (-5, -2) as shown below:

- Thus, applying the transformation formula given above, we have:

$\begin{gathered} (x,y)\to(-x,y) \\ (-5,-2)\to(-(-5),-2)=(5,-2) \end{gathered}$

- Thus, the reflected point B' is

$(5,-2)$

- This is shown below:

5 0

1 year ago

Which of the following responses most accurately depicts the correct sequence of activities in the strategic planning process? a

boyakko [2]

Answer:

A. strategic analysis - guiding principles - strategic objectives - flow-down objectives.

Step-by-step explanation:

Strategic planning is a process that helps organisations to better implement their strategic plans.

Strategic analysis involves internal and external analysis of an organisation's environment to identify it's strengths, weaknesses, opportunities and threats.

Guiding principles guide an organization throughout all circumstances, they ensure the survival of an organisation's long term values irrespective of changes in its goals, strategies or type of work.

Strategic objectives are the critical goals an organisation is trying to achieve over a period of time. They are a realization of goals that translates to more specific plans and projects.

Flow-down objectives ensure that the appropriate goals for an organisation are established.

5 0

2 years ago