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pav-90 [236]
4 years ago
9

The construction of copying <QPR is started below. The next step is to set the width of the compass of the length of AB. How

does this step ensure that the new angle will be congruent to the original angle?​

Mathematics
1 answer:
vodomira [7]4 years ago
8 0

Answer: PA = ST, PB = SU, AB = TU ⇒ ∠P = ∠Q

<u>Step-by-step explanation:</u>

Point S is drawn to mimic point P.

The length of PA is measured and copied to point S so PA = ST.

The length of PB is measured and copied to point U so PB = SU.

Now we know that AB = SU.

Since all of the sides are congruent (if we were to draw a triangle), we can state that the triangles are congruent by Side-Side-Side Congruency Theorem.  Thus, ∠P ≡ ∠S  by CPCTC Theorem.

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All similar figures are congruent. Give a counterexample to disprove this conjecture.
Natasha2012 [34]
Two equilateral triangles, but one has sides measuring 3 cm, while the other measures 6 cm. The figures are similar, but not congruent
7 0
3 years ago
For the Decades of Dollars lottery game in Georgia, a player chooses 6 different numbers from 1 to 47, inclusive. To win the jac
Andrej [43]

Answer:

1/10,737,573

Step-by-step explanation:

The number of possible outcome is

47 combination 6

nCr=n!/(n-r)!r!

Then,

47C6 = 47!/(47-6)!6!

47C6=47!/41!6!

47C6=47×46×45×44×43×42×41!/41!6×5×4×3×2×1

47C6=47×46×45×44×43×42×/720

47C6=10737573

This the sample space of groups 6 numbers.

So to win a jackpot, you need to pick one of the possible outcome

P(winning jackpot)= 1/10,737,573

Wow, this result shows that it is not easy to win a jackpot from lottery games, it is on rare occasions to have the combine 6 numbers.

7 0
4 years ago
Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and n
miskamm [114]
Time = 3 miles / (20 mph - wind velocity)
time = 2 miles / (20 mph + wind velocity)

3 miles / (20 mph + wind velocity) = 2 miles / (20 mph - wind velocity)

3/2 =  (20 mph + wind velocity) / (20 mph - wind velocity)

1.5 =  (20 mph + wv) / (20 mph -wv)

30 mph -1.5wv = 20 mph -wv

10 mph = 2.5 wv

wind velocity = 4 mph


3 0
3 years ago
Read 2 more answers
Eight trials are simulated. The results are shown in the table.
bezimeni [28]

Answer:

2.897

Step-by-step explanation:

Let us find the mean and variance for the sample first.

105 104 110 112

114 106 108 109

Mean = sum/8 = 108.5

Variance = 12

Std dev = sq rt of variance = 3.464

Std error = std dev/ sq rt n

since n =8, we get std error = 1.225

Since sample size is small, df =8-1 =7

For 95% confidence intervals, t critical value for two tailed=2.365

Margin of error = std error x t critical = 1.225(2.365)

=2.897


3 0
3 years ago
Find the area of a triangle whose sides are 35 cm, 45 cm and 50 cm.
Morgarella [4.7K]

Answer:To find out the Area of a scalene triangle whose three sides are given, first find out the half perimeter

s = (a+b+c)/2

where a, b, and c are the length of the three sides of a triangle

s = (35 + 45 + 50) / 2

  = 130 / 2

  = 65 cm

Area of scalene triangle is given by

A = sqrt (s (s - a) (s - b) (s - c))

   = sqrt (65 * (65 - 35) ( 65 - 45) (65 - 50))

   = sqrt (65 * 30 * 20 * 15)

   = sqrt (585000)

   = 764.853 sq cm

Step-by-step explanation:

4 0
2 years ago
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