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3 years ago

11

point d is the interior of angleABE and point E is the interior of angleDBC....(press on the picture please) (also i scratched o

ut where i tried to work it out)

1 answer:

Andrej [43]3 years ago

3 0

Answer:

c)41

Step-by-step explanation:

∠DBE = (∠ABE +∠DBC) -∠ABC

= (74 + 103) -136

= 177 - 136

= 41

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If g(x) is the inverse of f(x)=4x+12 and f(x)=, what is g(x)

Nitella [24]

Hello,
f(x)=y=4x+12

x=4y+12
==>4y=x-12
==>y=x/12- 3

g(x)=x/12 -3

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3 years ago

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Bentley is going to invest $98,000 and leave it in an account for 7 years. Assuming

den301095 [7]

Answer:

The rate of interest for compounded daily is 2.1 6

Step-by-step explanation:

Given as :

The principal investment = $ 98,000

The Time period for investment = 7 years

Let The rate of interest compounded daily = R %

The Amount at the end up = $ 114,000

<u>From compounded method</u>

Amount = Principal × $(1+\dfrac{rate}{365\times 100})^{365\times Time}$

Or, $ 114,000 = $ 98,000 × $(1+\dfrac{R}{365\times 100})^{365\times 7}$

Or, $\frac{114000}{98000}$ = $(1+\dfrac{R}{36500})^{2555}$

or, 1.16326 = $(1+\dfrac{R}{36500})^{2555}$

or, $(1.16326)^{\frac{1}{2555}}$ = 1 + $\frac{R}{36500}$

1.00005919 - 1 = $\frac{R}{36500}$

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3 years ago

What is the perimeter, in units, of polygon UVWXYZ? Enter your answer in the box.

nikitadnepr [17]

Given:

Consider the below figure attached with this question.

To find:

The perimeter of the polygon UVWXYZ.

Solution:

All sides and vertical and horizontal. So, we can easily find the side lengths of the given polygon by counting the boxes between two points.

From the figure it is clear that,

UV = 9 units

VW = 2 units

WX = 3 units

XY = 3 units

YZ = 6 units

ZU = 5 units

Now, perimeter is the sum of all the sides.

$Perimeter=UV+VW+WX+XY+YZ+ZU$

$Perimeter=9+2+3+3+6+5$

$Perimeter=28$

Therefore, the perimeter of UVWXYZ is 28 units.

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3 years ago

1 2 3 4 5 6 7 8 9 10 11

alexandr402 [8]

1) PEMDAS: 12 * 5 + 6 / 6

12 * 5 = 60

60 + 6 / 6

6 / 6 = 1

60 + 1 = 61

61 is the final answer.

2) Absolute Value: |-2 - 4| = -6 HOWEVER, because it is in the absolute value signs, it becomes 6. 6 - 4 = 2

2 in the final answer.

3) 4 + 4 + 2 = 10 Because they are all negatives, we add back the negative sign.

-10 is the final answer.

4) 15x + 1 = 26

Subtract 1 from each side.

15x = 25.

25/15 = 1.6...

x = 1.6...

5) 2x -4 + 3x = - 1

2x + 3x = 5x

5x - 4 = -1

Add 4 to each side

5x = 3

3/5 = 0.6

x = 0.6

6) x-2/3 = x+4/5

I don't remember the steps, but the answer is x = 11

7) Finding the relationship between x:4 and 5:20

20/5 = 4

x = 1

The smaller rectangle has a reduction of 5 times.

8) Mean is found by adding all the number, then dividing by the amount added.

18 + 27 + 15 + 24 + 18 + 26 + 19 + 24 = 171

171/8 = 21.375

Mean = 21.375

Median is found by putting the numbers in increasing order, then finding the middle number, 15, 18, 18, 19, 24, 24, 26, 27. 24 + 19 = 43. 43/2 = 21.5

Median = 21.5

9) Circumference of a circle = 2(pi)(r)

Circumference = 30πin (thats the pi symbol)

If you use the typical pi fill-in (3.14) the its 2 * 3.14 * r then it would = 94.5in.

10) Combing Like Terms: 5x + 7y - 8y^2 + 2x - y

5x + 2x = 7x

7x + 7y - 8y^2 - y

-y + 7y = 6y

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3 years ago

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Minchanka [31]

Answer:

V = 64 in^3

Step-by-step explanation:

The volume of a cube is given by

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2 years ago

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