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Nikolay [14]
3 years ago
14

The heights of the girls in an advanced swimming course are 55, 60, 59, 52, 65, 66, 62, and 65 inches. Match the measures of thi

s data with their values.
Tiles
65
8
60.5
14
61
Pairs
range
arrowBoth
mean
arrowBoth
interquartile range
arrowBoth
median
arrowBoth
Mathematics
1 answer:
kolbaska11 [484]3 years ago
3 0
Arranging in ascending order we have

52 55 59 60 62 65 65 66

The median = (60+62)/2 = 61

The mean =  484 / 8 = 60.5

range =  66-52 = 14

interquartile range =  65 - 57 = 8

pairs = 65
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In the adjoining figure , APB and AQC are equilateral triangles. Prove that PC = BQ. ( Hint : <img src="https://tex.z-dn.net/?f=
just olya [345]

Answer:

See Below.

Step-by-step explanation:

Statements:                                                           Reasons:

\displaystyle 1)\text{ } \Delta APB \text{ and } \Delta AQC \text{ are equilateral triangles}      Given

\displaystyle 2) \text{ } m \angle PAB = 60                                                     Definition of equilateral.

3)\text{ } m \angle QAC = 60                                                     Definition of equilateral.

4)\text{ } m\angle PAB = m\angle QAC                                          Substitution

5)\text{ } m\angle PAC=m\angle PAB+m\angle BAC                       Angle Addition

\displaystyle 6)\text{ } m\angle QAB=m\angle QAC+m\angle BAC                       Angle Addition

7)\text{ } m\angle QAB=m\angle PAB+m\angle BAC                       Substitution

\displaystyle 8)\text{ } m\angle PAC=m\angle QAB                                         Substitution

9)\text{ } PA=BA                                                          Definition of equilateral

10)\text{ } AC=AQ                                                        Definition of equilateral

\displaystyle 11)\text{ } \Delta PAC \cong \Delta BAQ                                            Side-Angle-Side Congruence*

\displaystyle 12)\text{ } PC=BQ                                                        CPCTC

* SAS Congruence:

PA = BA

∠PAC = ∠QAB

AC = AQ

6 0
2 years ago
Read 2 more answers
How can I solve this?
Inessa [10]

Answer:

We see that the big triangle is an equilateral triangle, so all its angles will measure 60°. Therefore x° will be 60° - 30° = 30°, as he's the base angle of an isosceles triangle having the other base angle of 30°. y will simply be 180° - 60° (remembering that the sum of the angles in a triangle is always 180°).

3 0
2 years ago
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The track pine middle school is 1/3 of a mile for each lap. mathew walked around the track and completed 9 laps in one hour. how
Nina [5.8K]
He walked 3 miles in an hour. He would have to also walk 9 laps in 45 minutes to walk the same amount. Not sure what your question is?
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3 years ago
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Step-by-step explanation:

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where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 4 , thus

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A parallel lines never cross like this: I I     
Perpendicular lines Cross at 90%: + or x  for example.
I hope I helped.
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