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tamaranim1 [39]
3 years ago
6

Which line segments are equal? How do you know?

Mathematics
1 answer:
Olenka [21]3 years ago
5 0

Answer:

MQ and QP are equal, MO and OP are equal, x=2

Step-by-step explanation:

QO is a perpendicular bisector of MP meaning that Triangle MQP must be isosceles (if at least two of the following, angle bisector, median, or an altitude, coincide in a triangle, that triangle must be isosceles). In this case an altitude and median coincide in triangle MQP. This means that MQ=QP as the triangle is isosceles. And also MO=OP because QO is a median. Now solving for x, 11=4x+3, 8=4x, x=2. Hope this helps!

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For a regular n-gon:
snow_lady [41]
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3 0
3 years ago
A coat has been marked down 20% to $26.40 what was it's original value?
Gemiola [76]
20% is equal to 0.2
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6 0
3 years ago
a) The weekly wages of employees of Volta gold are normally distributed about a mean of $1,250 with a standard deviation of $120
Fantom [35]

Answer:

0.7102

0.8943

0.3696

Step - by - Step Explanation :

A.) Between $1320 and $970

P(Z < 1300) - P(Z < 970)

find the Zscore of each scores and their corresponding probability uinag the standard distribution table :

P(Z < (x - μ) /σ) - P(Z < (x - μ) / σ))

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0.7200 - 0.0098 = 0.7102 (Standard

=0.7102

B.)Under 1400

x = 1400

P(Z < 400)

P(Z < (x - μ) /σ)

P(Z < (1400 - 1250) /120)

P(Z < 1.25) = 0.8943

C.) Over 1290

P(Z > 1290)

P(Z < (x - μ) /σ)

P(Z > (1290 - 1250) /120 = 0.3333

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P(Z > 0.3333) = 1 - 0.6304 = 0.3696

4 0
3 years ago
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Alenkasestr [34]

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Step-by-step explanation:

3 0
3 years ago
Quadrilateral ABCD is a rectangle.
jeka94

Answer:

A

Step-by-step explanation:

The diagonals of a rectangle are congruent and bisect each other, so

AC = BD

2AG = 2DG, that is

AG = DG, substitute values

- 7y + 5 = 2y + 68 ( subtract 2y from both sides )

- 9y + 5 = 68 ( subtract 5 from both sides )

-9y = 63 ( divide both sides by - 9 )

y = - 7

Hence

BD = 2(2y + 68)

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     = - 28 + 136

     = 108 → A

5 0
3 years ago
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