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Lady bird [3.3K]
3 years ago
8

Solve for x and then determine the measure of the exterior angle.

Mathematics
2 answers:
neonofarm [45]3 years ago
6 0

Answer:

x=25, 120

Step-by-step explanation:

The two angles form a straight line so they add to 180

60 + 4x +20 =180

Combine like terms

4x+80 = 180

Subtract 80 from each side

4x+80-80 =180-80

4x= 100

Divide by 4

4x/4 =100/4

x= 25

The exterior angle is

4x+20 = 4*25+20 =100+20 =120

ratelena [41]3 years ago
5 0

Answer:

x=25, 120

Step-by-step explanation:

The two angles form a straight line so they add to 180

60 + 4x +20 =180

Combine like terms

4x+80 = 180

Subtract 80 from each side

4x+80-80 =180-80

4x= 100

Divide by 4

4x/4 =100/4

x= 25

The exterior angle is

4x+20 = 4*25+20 =100+20 =120

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Aliun [14]

Answer:

(1): "*-5x2y" was replaced by "*(-5x2y)".

(2): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 (3x • (y2)) • (0 -  (5x2 • y))

STEP

2

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Equation at the end of step

2

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 3xy2 •  -5x2y

STEP

3

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Multiplying exponential expressions :

3.1    x1 multiplied by x2 = x(1 + 2) = x3

Multiplying exponential expressions :

3.2    y2 multiplied by y1 = y(2 + 1) = y3

I believe the answer is   ( -3•5x3y3)

6 0
3 years ago
What is the measure of &lt;6?
wel

Answer: Choice B. 54degrees

Step-by-step explanation:

Angles 1 4 5 8 are equal and angles 2 3 6 7 are also equal. These two sets of angles of supplementary(you‘d get 180 by adding them).

so

13x+9=180-(5x+9)

by simplifying the equation youll get

18x+18=180

x=9

so angle 7(and therefore angle 6) equals

5*9+9=54

6 0
3 years ago
Edward Winslow deposited $20,000.00 into a savings account paying 6% annual interest compounded monthly. What amount will be in
Ad libitum [116K]

Answer:

$28360

Step-by-step explanation:

Step one:

Given data

P=20000

rate= 6%

time= 6years

Step two:

compound interest

A=P(1+r)^t

substitute

A=20000(1+0.06)^6

A=20000(1.06)^6

A=20000*1.418

A=$28360

4 0
2 years ago
Water is flowing into and out of two vats, Vat A and Vat B. The amount of water, in gallons, in Vat A at time t hours is given b
svetoff [14.1K]

Note: The first file attached contains the clear and complete question

Answer:

a) The times at which the graph of A(t) has horizontal tangent are t = 1 and t = 7

A(t) has a local maximum at t=7

A(t) has a local minimum at t=1

b) The times at which the graph of D(t) has horizontal tangent are t = 1.59 and t = 7.74

D(t) has a local maximum at t=1.59

D(t) has a local minimum at t=7.74

c) A(t) = (-t^3) + 8(t^2) -21t + 40

d) The water level in vat A is rising most rapidly at t = 4 hrs

e) 138 gallons

f) 18 gallons per hour

g) 98 gallons

Step-by-step explanation:

For clarity and easiness of expression, the calculations are handwritten and attached as files below.

Each step is neatly expressed and solutions to each part of the question are clearly written

6 0
3 years ago
Every square meter of solar paneling produces 0.2 kilowatts of electricity. Which of the following models this situation?
maksim [4K]

Answer:

B) linear function with a positive rate of change

Step-by-step explanation:

Each increase by 1 m^2 in area produces the same 0.2 kW increase in power, so the relationship between area and power is linear. Since they both go up (or both go down), the "rate of change" is positive. (If it were negative, one would go down when the other went up.)

The best description is that of B.

5 0
3 years ago
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