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the scale on a map is 2 centimeters equals 15 Miles Dave measures the distance to the next town at 7 centimeters how many miles

jeka57 [31]

52.5 is the exact answer <span />

6 0

3 years ago

Please help! ! ( please answer all)

hoa [83]

17) AB = 26

18) ∠1 and ∠2 are supplementary angles.

19) ∠1 and ∠2 are vertical angles.

20) x = 7

21) 10.125° = ∠GEF

22) x = 14

23) x = 25

<h3>How to find congruent angles?</h3>

17) AC is congruent to CE.

DE = 7x - 1

BC = 9x - 2

CE = 10x + 18

DE + DE = CE

2DE = CE

2(7x - 1) = 10x+18

14x-2 = 10x+18

14x-10x = 18+2

4x = 20

x = 20/4

x = 5

Thus; AC = CE = 10x + 18

CD = 10x + 18 - 7x + 1

CD = 3x + 19

AB = 10x + 18 - (9x - 2)

AB = 10x + 18 - 9x + 2

AB = x + 18 + 2

AB = x + 20

Since x = 5

AB = 5 + 21

AB = 26

18) ∠1 and ∠2 are supplementary angles.

19) ∠1 and ∠2 are vertical angles.

20) ∠TUV = ∠TUW + ∠WUV

7x - 9 + 5x - 11 = 9x + 1

12x - 20 = 9x + 1

3x = 21

x = 21/3

x = 7

21) Let ∠DEG = x. Thus;

∠GEF = 5x - 13

Thus;

x + 5x - 13 = 149

6x = 162

x = 162/6

x = 10.125° = ∠GEF

22) 7x - 1 + 6x - 1 = 180

13x = 182

x = 14

23) 5x + 4 = 8x - 71

3x = 75

x = 25

Read more about Congruent Angles at; brainly.com/question/1675117

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6 0

1 year ago

The figure shows Polygon ABCD and some of its transformed images on a coordinate grid:

Black_prince [1.1K]

Based on the fact that the Polygon ABCD was translated, then the polygon that is a translation of it will be Polygon 3.

<h3>What polygon is the translation of Polygon ABCD?</h3>

When a shape is translated, it is taken as it is from one area of the coordinate plane, to another area of the plane.

This means that it doesn't change in height, or orientation.

The only polygon that still looks like Polygon ABCD is Polygon 3 which means that it is the translated version.

Find out more on transformations at brainly.com/question/4289712

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3 0

1 year ago

A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr

Rufina [12.5K]

The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
$120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\$
Logarithm both sides of the equation:
$ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083$

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
$A = 120 000 000 * e ^{0.0083*17} \\ 
A = 120 000 000 * e^{0.1411} \\ 
A = 120 000 000 * 1.15 \\ 
A = 138 000 000
$
Thus, the population will be 138 million in 2014

8 0

3 years ago

Please help me on this problem.

Len [333]

Answer:

Step-by-step explanation:

Problem 4a

You have 6 numbers on the cube, a bag with 4 letters and a spinner with 3 letters

The total number of results is

6 * 4 * 3 = 72

Problem 4b

P(A,3,Q) = (1/3)(1/6)(1/4) = 1/72

Problem 4c

A and Q remain the same. 1/3 and 1/4

Not rolling a 6 is a little different. Success will result in a 1 2 3 4 5 being thrown. That's 5/6

So the results are 1/3 * 1/4 * 5/6 = 5/72

4 0

3 years ago