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scoundrel [369]
3 years ago
6

: Find the angle measures given the figure is a rhombus.

Mathematics
1 answer:
Marysya12 [62]3 years ago
7 0

Answer:

74°

Step-by-step explanation:

A rhombus is a quadrilateral (has four sides). For a rhombus: opposite sides are equal, opposite angles are equal, all the sides are equal, the diagonals bisect each other, adjacent angles are supplementary, diagonals bisect the angles.

From the diagram below since adjacent angles of a rhombus are supplementary therefore:

32° + 2∠1 (diagonals bisect the angles) = 180

2∠1 = 180 - 32

2∠1 = 148

∠1 = 148 / 2

∠1 = 74°

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The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the
gladu [14]

Answer:

Part 1) Australia 19,751,012\ people

Part 2) China 1,319,645,764\ people

Part 3) Mexico 109,712,539\ people

Part 4) Zaire 60,534,681\ people

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

P(t)=a(1+r)^t

where

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t is the number of years since year 2000

a is he initial value

r is the rate of change

Part 1) Australia

we have

a=19,169,000\\r=0.6\%=0.6\100=0.006

substitute

P(t)=19,169,000(1+0.006)^t

P(t)=19,169,000(1.006)^t

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Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

P(5)=19,169,000(1.006)^5=19,751,012\ people

Part 2) China

we have

a=1,261,832,000\\r=0.9\%=0.9\100=0.009

substitute

P(t)=1,261,832,000(1+0.009)^t

P(t)=1,261,832,000(1.009)^t

Find the  expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

P(5)=1,261,832,000(1.009)^5=1,319,645,764\ people

Part 3) Mexico

we have

a=100,350,000\\r=1.8\%=1.8\100=0.018

substitute

P(t)=100,350,000(1+0.018)^t

P(t)=100,350,000(1.018)^t

Find the  expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

P(5)=100,350,000(1.018)^5=109,712,539\ people

Part 4) Zaire

we have

a=51,965,000\\r=3.1\%=3.1\100=0.031

substitute

P(t)=51,965,000(1+0.031)^t

P(t)=51,965,000(1.031)^t

Find the  expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

P(5)=51,965,000(1.031)^5=60,534,681\ people

8 0
3 years ago
If X= -6 and y=4 what is x² + y²​
Rainbow [258]

Answer:

52

Step-by-step explanation:

(-6)x(-6)=36

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36+16=52

6 0
2 years ago
Read 2 more answers
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Reptile [31]

Answer:

1/22

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assuming that the marbles drawn are not replaced:

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8 0
2 years ago
8,11,14,17 and you have to find the 74th term
astra-53 [7]

Answer:

227 is the 74th term of your question.

7 0
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dalvyx [7]
The percentage increase is 25%


8 0
3 years ago
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