Name the relationship

Answer:

Step-by-step explanation:

Step One

Find the supplement of both exterior angles. They both have angles that add with them to make 180 degrees.

x + 105 = 180            Subtract 105 from both sides

x = 180 - 105

x = 75

y + 148 = 180            Subtract 148 from both sides

y = 180 - 148  

y = 32

Step Two

There are two ways to conclude the problem. You could find the value of the 3rd angle of the triangle, or you could notice that x is going to be the sum of the 2 angles you just found. These two angles are called the remote interior angle.

Method One

x = 32 + 75

x = 107

Method Two

32 + 75 + y = 180

107 + y = 180

y = 180 - 107

y = 73

The sum of x + 73 = 180

x = 180 - 73

x = 107

Answer:

749.79

Step-by-step explanation:

147 minutes = 2 and 27/60 hours

8.5% times 2 and 27/60 = 0.20825 or 833/4000

750 - 0.20825 = 749.79175

749.79175 to the nearest hundredth = 749.79

Hope this helps.

Answer:609

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

Bob has 1/2

1/2 divided by 5 = 0.1

0.1 = 1/10

Each friend gets 1/10.

Answer:

Step-by-step explanation:

It's 205

The best prediction of the time required for the oil spill to reach a diameter of 10 km will be 147 days. Then the correct option is A.

The quadratic equation is given as ax² + bx + c = y. Then the degree of the equation will be 2.

The table shows the connection between the width in kilometers of an oil slick and the time in days. A capability can be utilized to show this relationship.

The equation at (2.4, 1) will be given as,

2.4 = a (1)² + b (1) + c

2.4 = a + b + c                 ...1

The equation at (9.4, 2) will be given as,

9.4= a (2)² + b (2) + c

9.4 = 4a + 2b + c                 ...2

The equation at (21.1, 3) will be given as,

21.1 = a (3)² + b (3) + c

21.1 = 9a + 3b + c                 ...

Solve equations 1, 2, and 3 with the calculator, then we have

a = 2.35, b = -0.05, c = 0.1

Then the equation is given as,

y = 2.35x² - 0.05x + 0.1

The best prediction of the time required for the oil spill to reach a diameter of 10 km will be

y = 2.35(10)² - 0.05(10) + 0.1

y = 235 - 0.5 + 0.1

y = 235.5

The value of y is nearer to the value of 233. Then the value of y will be 233 days.

The best prediction of the time required for the oil spill to reach a diameter of 10 km will be 233 days. Then the correct option is D.

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The complete question is given below.

The table shows the relationship between the diameter of kilometers of an oil spill and the time in days. A function can be used to model this relationship.

What is the best prediction of the time required for the oil spill to reach a diameter of 10 km?

A) 147 days

B) 200 days

C) 205 days

D) 233 days

Answer:

y = -34

Step-by-step explanation:

Step 1

1/4 y + 9 = 1/2

1/4 + 9 - 9 = 1/2 - 9

1/4 y = -17/2

Step 2

4 * (1/4 y) = 4* (-17/2)

y = -34

Hope this helps!!

Answer:

I think that the correct answer is D 3(2x + 4) = 6x + 12

3(2x + 4) = 6x + 12 illustrates the Distributive Property. Correct option is D.

The Distributive Property states that when you multiply a number by a sum or difference inside parentheses, you distribute the multiplication across each term inside the parentheses.

The correct illustration of the Distributive Property among the given options is:

D. 3(2x + 4) = 6x + 12

This is because when you distribute 3 across 2x and 4, you get 6x for the first term (3 * 2x) and 12 for the second term (3 * 4), resulting in 6x + 12.

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Answer:

"?" = 3

Step-by-step explanation:

The answer can be gotten by subtracting 4 from 7. The 4 is the exponent in (4a^4b), and the 7 is the exponent in 16a^7b. So:

7 - 4 = 3

Therefore, the "?" = 3

Hope this helps :)

Answer:

?=3

Step-by-step explanation:

Okay so with exponents, when multiplying exponents with the same base, you add them.

In your case, we have a^? * a^4=a^7 (this is the only part you need to solve)

so ?+4=7

?=7-4=3

Have a nice day!

Answer: Ethan is incorrect because Graph D is not decreasing but increasing.

Answer: 24 commercials

Step-by-step explanation: An hour is 60 minutes. She'll watch 120 minutes of the game. 120 divided by 5 is 24. Good luck! :D

Answer:

1

Step-by-step explanation:

I guess it's the first choice

Answer:

ummm it think so

Step-by-step explanation:

Answer: i think it is

Step-by-step explanation: am srry if am wrong

Answer:

25x^2 - 40x  + 18 / 5x - 3

Step-by-step explanation:

25x2−40x+18/

5x−3

Answer:

[tex]5x-5+\frac{3}{5x-3}[/tex]

Step-by-step explanation:

Hope this helps :)

Answer:What is the median of a triangle? If you find the middle of any side of a triangle, you have found its midpoint. From that midpoint, you can construct a line segment to the opposite interior angle. That constructed line from the midpoint of a side to the opposite interior angle is a median.

Step-by-step explanation:

Answer:

What is the median of a triangle? If you find the middle of any side of a triangle, you have found its midpoint. From that midpoint, you can construct a line segment to the opposite interior angle. That constructed line from the midpoint of a side to the opposite interior angle is a median.

Step-by-step explanation:

Answer: 2²/₃ pounds

Step-by-step explanation:

There are 8 pounds of fruit.

These are to be used to make 3 equal sized fruit salad.

The weights of each fruit salad will therefore be:

= Pounds of fruit/ Number of fruit salads

= 8 / 3

= 2²/₃ pounds

4,610 divided by 16 is 288.125

Work:

Answer:

2x+3 times 5 - x +8=13

Step-by-step explanation:

off ion know

Answer:

1,763.6

Step-by-step explanation:

There is no hundredths place, therefore the number would just stay the same.  

The decimal number 1,763.6 rounded to the nearest hundredth will remain the same.

The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.

The decimal number is given below.

⇒ 1,763.6

In the decimal number, there is no hundredth place, therefore the number would just stay the same.  

The decimal number 1,763.6 rounded to the nearest hundredth will remain the same.

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Answer:

4 ballons per basket because

80 ballons divided by 20 baskets is 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 balloons per gift basket

Answer: y=-1/2x+58, decreases 500, begins, 58k

Step-by-step explanation:

I'm not too sure about my equation for the word problem but I can explain how I got it.

The equation is in y=mx+b format, so we need to find the slope. They gave us the graph for a reason. You would take each side of the table and subtract/add. For example: 58-53=-5 (y), 0+10=10 (x).

Then, just put that in rise over run (-5/10).

Simplify. Which gives you -1/2.

They already gave us the y-intercept, so just put it into the equation. y=-1/2x+58.

Keep in mind I don't know if you need to add the 0's because it's thousands of feet, I would just in case though. Hoped this helped!

The equation can be given as  [tex]y= -\frac{1}{2}x +58[/tex], and slope for x and y is m that is [tex]\dfrac{-1}{2}[/tex].

Given to us,

x is time in minutes

y is the height (in thousands of feet) of the UAV

x                      y

0                      58

10                    53

20                   48

30                   43

The equation can be given as y = mx+ c

where,

x is time in minutes,

y is the height,

m is the slope,

c is the constant,

Substituting the values of x and y to get m and c,

Equation 1:

[tex]y = mx+ c\\ 58 = m(0) + c \\ c = 58[/tex]

Substituting the values of c to get m,

Equation2:

[tex]y = mx+ c\\53 = m(10) + 58\\m\times (10) = - 58 + 53\\m\times (10) = -5\\m =- \frac{1}{2}[/tex]

[tex]y= -\frac{1}{2}x +58[/tex]

Therefore, the equation can be given as  [tex]y= -\frac{1}{2}x +58[/tex], and slope for x and y is m that is [tex]\dfrac{-1}{2}[/tex].

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The monthly rent during the 8th year of living in the apartment will be $2160.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

You rent an apartment that costs $800 per month during the first year, but the rent is set to go up by $170 per year.

Then the monthly rent during the 8th year of living in the apartment will be

Let y be the monthly rent and x be the number of years.

Then we have

y = 170x + 800

The rent after 8 years, then the rent will be

y = 170 × 8 + 800

y = 1360 + 800

y = $ 2160

Thus. the monthly rent during the 8th year of living in the apartment will be $ 2160.

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Answer: The smallest value of n is:

n = 21

Step-by-step explanation:

We know that the LCM (least common multiple) between 120 and n is 2520.

We want to find the smallest value of n.

The smallest value of n will be such that n does not share any prime number with 120, then the greatest common factor between 120 and n is 1.

Remember that the LCM between A and B is:

LCM(A, B) = A*B/(GCM(A, B))

Then if the greatest common factor between A and B is 1, we will have:

LCM(A, B) = A*B

Then if the greatest common factor between 120 and n is 1, we have that:

LCM(120, n) = 120*n = 2520

then:

n = 2520/120 = 21

The smallest value of n is n = 21.

Answer:

Jenny gets €18.

Step-by-step explanation:

Jenny gets 3 of every Laura's 2. First you add together both numbers in the ratio. 3+2=5. Then you divide the constant, 30, by the sum, 5. 30/5=6. Then you multiply each number of the ratio by the quotient. 3 x 6=18.

Answer

7, x

Step-by-step explanation:

n x + 2 = 7, x

Answer:

15

Step-by-step explanation:

Since we can see that the total angle value will be 90 degrees we can write an equation;

30+4x=90

4x=60

x=15

So your answer is 15