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Vladimir79 [104]
3 years ago
11

Which term best describes something that is accepted as true without proof?

Mathematics
2 answers:
nordsb [41]3 years ago
3 0
The correct answer is B. Hypothesis
arlik [135]3 years ago
3 0
Postulate can be accepted as true without proof.
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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.

6 0
4 years ago
An airplane has flown 260 miles out of a total trip of 500 miles. What fraction, in simplest form, of the trip had been complete
wolverine [178]
260/500 = 130/250 = 26/50 = 13/25
you put the amount flown over the total amount and then factor from there! i first divided the 260 and 500 by 2 (since both of the numbers are divisible by 2), which gave me 130/250. then divided by 5, and lastly by 2. final answer, reduced completely, is 13/25. hope this helps!
8 0
4 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=cos%283theta%29%20%3D-1%3Cbr%3E%0A" id="TexFormula1" title="cos(3theta) =-1&amp;#10;" alt="cos
castortr0y [4]
Hello :
cos(3<span>θ) = -1
</span>cos(3θ) = cos(<span>π)
</span>general solution in : R  is 
3θ = (2k+1)π   k in  Z 
θ = (2k+1)π/3
if  θ in  <span> [0 , 2</span>π]   the solutions are :
k=0 :  x = π/3
k=1 :  x = π
k=2 :  x = 5π/3



5 0
3 years ago
What is the slope of the line shown below?
garri49 [273]

Answer:

A

Step-by-step explanation:

6/3

5 0
3 years ago
Read 2 more answers
(15 point question)
vivado [14]

Answer:

D. CPCTC

Step-by-step explanation:

THere is a statement column proof given for angle bisector construction.

Statement                                  Justification

Angle MBP is congruent to       CPCTC

angle NBP

Since the previous line proved congruence for the two triangles by SSS,

the next step is corresponding angles are equal, by corresponding parts of congruent triangles are congruent

So we have the missing justification as CPCTC

D, CPCTC

6 0
3 years ago
Read 2 more answers
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