If m AOC=85, m BOC =2x+10, and m AOB=4x-15, find the degree measure of BOC and AOB

Answer:

26°

Step-by-step explanation:

The angle 5 is equal to angle 154° as these are both corresponding angles and corresponding angles are equal.

Angles on a straight line equal 180°, so if we take 154° from 180° we get angle 4, which is 26°

I hope that helped!

XY and WZ are parallel.

Angle 1 + 154° = 180° (Linear pair)

→ Angle 1 = 180 - 154

→ Angle 1 = 26°

Now, Angle 4 = Angle 1 (Alternative interior angles)

→ Angle 4 = 26°

Hence, we got the answer.

Answer:

4 times 4 equals 16

Step-by-step explanation:

4 times 1= 4

4 times 2= 8

4 times 3= 12

4 times 4= 16

you add 4 after each result.

Answer:

Blue, if you look, they both are close, but due to the pathagrium theory blue is longer.

Step-by-step explanation:

Answer:

Red is longer

Step-by-step explanation:

With the distance equation formula, you can find this. The distance equation formula is d=[tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2} } \\[/tex]. (x1,y1)(x2,y2) are the coordinates of each individual point.

If you turn the grid into a graph, red's points would be (0,0)(3,3)

Blue's points would be (0,3)(-1,-1). Using the distance formula blue is [tex]\sqrt{17}[/tex].

The red is [tex]\sqrt{18}[/tex], so red is longer.

The differenceeof two numbers is just another name for subtraction.

c - (7 - 6)

We can even simplify this expression further.

c - 1

Answer:

2 in the hundredths place is greater

Step-by-step explanation:

2 in the hundredths place is 10 times the thousands place

Answer: A

Step-by-step explanation:

The equation that models the data in the table is:

y = 4 cosine (StartFraction pi Over 2 EndFraction x minus StartFraction pi Over 2 EndFraction) + 6 (Option A)

A mathematical model is a typification of a physical system with the use of Mathematical concepts, tools, and elements.

This process is called mathematical modeling.

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Answer:

40%

Step-by-step explanation:

10 minutes late would mean 18 minutes late on the graph. The graph goes from 10-30 which creates a difference of 20. 8 divided by 20 equals 40 percent.

40 percent of the time does Oliver arrives within 10 minutes of John's arrival time.

Given that,

Oliver is typically 10–30 minutes late for his shift at work.

The distribution for the minutes he is late forms a consistent pattern, which can be graphed as the given uniform density curve.

John and Oliver are working a shift that starts at the same time. John always arrives 8 minutes late.

We have to determine,

What percentage of the time does Oliver arrive within 10 minutes of John's arrival time?

According to the question,

Oliver is typically 10–30 minutes late for his shift at work.

John and Oliver are working a shift that starts at the same time.

John always arrives 8 minutes late.

From the complete information, the probability distribution will be:

[tex]= \dfrac{1}{b-a}\\\\= \dfrac{1}{30-10}\\\\= \dfrac{1}{20}[/tex]

Here, John always arrives 8 minutes late.

Therefore,

The percentage of the time that Oliver arrives within 10 minutes of John's arrival time is,

[tex]\rm = 8 \times \dfrac{1}{20}\\\\= \dfrac{2}{5}\\\\= 0.4 \times 100 \\\\= 40 \ Percent[/tex]

Hence, 40 percent of the time does Oliver arrives within 10 minutes of John's arrival time.

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Answer:

3, -1

Step-by-step explanation:

Answer:

(-3, 1)

Step-by-step explanation:

Use the midpoint formula: ([tex]\frac{x1+x2}{2} ,\frac{y1+y2}{2}[/tex])  x1=2, x2=4 and y1=5 y2=-7

Answer: A

Step-by-step explanation:

To add fractions, we want to make sure there is a common denominator. After that, we can add the numerator.

[tex]\frac{8}{z^2+6z+9} +\frac{5}{z^2-9}[/tex]                 [factor denominator]

[tex]\frac{8}{(z+3)(z+3)} +\frac{5}{(z+3)(z-3)}[/tex]      [multiply first fractioni by z-3 and second by z+3]

[tex]\frac{8(z-3)}{(z+3)^2(z-3)} +\frac{5(z+3)}{(z+3)^2(z-3)}[/tex]   [distribute by FOIL]

[tex]\frac{8z-24}{(z+3)^2(z-3)} +\frac{5z+15}{(z+3)^2(z-3)}[/tex]   [add]

[tex]\frac{13x-9}{(z+3)^2(z-3)}[/tex]

This is the same as A. Therefore, A is our answer.

Answer:

1×10^3 = 1000

Step-by-step explanation:

so basically its 1×10×10×10

The standard form of the given scientific notation is 1000.

The given scientific notation is 1×10³.

The standard form means the process of writing very large expanded form of a number into small form or small number.

Now, the standard form of 1×10³ is

1×1000

= 1000

Therefore, the standard form of the given scientific notation is 1000.

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Answer:

6

Step-by-step explanation:

f(x)=5x-4

f(2)=5(2)-4

10-4=6

Answer:

4

Step By Step Explanation:

Hope it helps

Answer:

The rechargeable batteries tend to be AAA.

Step-by-step explanation:

Have a good day :)

Answer:

7.5

Step-by-step explanation:

The value of x = 7.5 when y = -30

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Given that y varies directly with x, and y = -20 and x = 5,

To determine the value of x = 7.5 when y = -30

Direct variation equations can be written as:

y = kx where "k" is a constant.

Substitute the values of y = -20 and x = 5 in the direct variation equation and solve for k:

⇒ -20 = 5k

⇒ k = -20/5

⇒ k = -4

The direct variation equation :

⇒ y = -4x

Substitute the values of y = -30 in the above equation and solve for x:

⇒ -30 = -4x

⇒ 4x = 30

⇒ x = 30/4

⇒ x = 7.5

Thus, the value ofx = 7.5 when y = -30

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Answer:

22.13 units

Step-by-step explanation:

P(ABCD) = AB + BC + CD +AD

Answer:

f(5) = 9

Step-by-step explanation:

To evaluate f(5) substitute x = 5 into f(x), that is

f(5) = (5 - 2)² = 3² = 9

Answer:

Step-by-step explanation:

f(x) = ( x - 2)²

To find f(5) substitute the value of x that's 5 into f(x). That's for every x in f (x) replace it with 5

That's

f(5) = ( 5 - 2)²

= 3²

We have the final answer as

Hope this helps you

Answer:

3905.12 feet

Step-by-step explanation:

we can form a triangle in order to use the Pythagorean theorem: a² + b² = h²

where:

a = distance covered on the ground

b = height above the Earth

3000² + 2500² = h²

h² = 9000000 + 6250000 = 15250000

h = √15250000

h = 3905.12 feet

Answer:

J: 84%.

Step-by-step explanation:

I don't really know how to explain this one.

Answer:

J. 84

Step-by-step explanation:

Answer:10,2

Step-by-step explanation:

Answer:

the answer you are looking for is A

Step-by-step explanation:

Answer:

49.5

Step-by-step explanation:

99/2=49.5

Answer:

With positive slope the line moves upward when going from left to right. With negative slope the line moves down when going from left to right.

hope this helps

Step-by-step explanation:

Answer:

Multiplication

Step-by-step explanation:

This looks like the equation for the area of a rectangle.

Area = Lenght * Width

Given that the "l" variable and the "w" variable or next to each other without '/' or '\' , then we can safely say this a multiplication operation.

If there is no symbol between variables, it is assumed to be short-hand for multiplication instead of writing '*', '.', or 'x' in-between the variables.

Cheers.

Answer:

Step-by-step explanation:

The "Commutative Laws" say that when we add then we can swap numbers over and still get the same answer.

Answer:

Step-by-step explanation:

g(x) = x² + 2

To find g(3) , substitute the value of x that's 3 into g(x) , that is for every x in g (x) replace it with 3

That's

g(3) = 3² + 2

= 9 + 2

We have the final answer as

Hope this helps you

Answer:

x = 12

Step-by-step explanation:

The 2 given angles are same- side interior angles and are supplementary, thus

9x - 4 + 5x + 16 = 180, that is

14x + 12 = 180 ( subtract 12 from both sides )

14x = 168 ( divide both sides by 14 )

x = 12

Answer:

For each hundred-thousand-dollar increase in the listing price, the sales price is predicted to increase by $110,000.

Step-by-step explanation:

The sales price is not predicted to increase by $1.1; it is predicted to increase by $110,000 because S is measured in hundred-thousands of dollars. The sales price will not decrease by $110,000; it is predicted to increase by $110,000.

A linear regression is represented as [tex]^\wedge y = mx + c[/tex].

The true option is:  E. For each hundred-thousand-dollar increase in the listing price, the sales price is predicted to increase by $110,000.

Given that:

[tex]^\wedge S = 0.5 + 1.1L[/tex]

From the general linear equation, we have:

[tex]1.1 \to[/tex] The slope

[tex]0.5 \to[/tex] The y-intercept

The slope is the difference between the sales price of one listing and the next.

From the question, we understand that the listed amount is in 100,000's.

This means that there is an increment of [tex]\$1.1 \times 100000[/tex] between the sales price of concurrent listing

So, we have:

[tex]\$1.1 \times 100000 =\$110000[/tex]

From the list of given options (see attachment), we can then conclude that (e) is correct.

Hence, for each hundred-thousand-dollar increase in the listing price, the sales price is predicted to increase by $110,000.

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