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LuckyWell [14K]
3 years ago
11

Use a system of linear equations with two variables and two equations to solve.

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
7 0

Answer:

passed: 164

failed: 41

Step-by-step explanation:

Let the failed students be x, then the passed students will be 4x.

x + 4x = 205

x = 205/5 = 41

4x = 4*41 = 164

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Jasmyn is standing at the point of tangency to a wishing
timofeeve [1]

Answer:

The value of   x=17 ft.

Step-by-step explanation:

Diagram of the given scenario shown below.

Given that,

Distance from bench to Jasmyn is   PA=27ft.

Distance from bench to Willard is PB=(2x-7)ft.

From the Question,

The given wishing well is a circle and all the distance are tangent to the circle.

So, Triangle formed by these points are such as ΔPAO and ΔPBO.

Now, taking both ΔPAO and ΔPBO.

   ⇒             AO = BO                                     {Radius of circle are equal}

   ⇒             PO=PO                                     {Common side}

   ⇒          ∠PAO = ∠PBO                              {radius is always perpendicular                                                                          

                                                                           to the point of tangent }

∴            ΔPAO ≅ ΔPBO                                  {By SAS congruence theorem}

Therefore,   PA=PB         ....(1)                             {corresponding part of

                                                                           congruence triangle (CPCT)}

Thus,

   ⇒                2x-7=27                                 {from equation (1)}

   ⇒                      2x=34    

   ⇒                        x=17 ft

Hence, The value of   x=17 ft.

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4 years ago
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Answer:

b

Step-by-step explanation:

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3 years ago
Solve 3x-4=17 you may use the flowchart to help if u wish
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Answer:

3x-4=17

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