40.185 + 0.01
Round your answer to the nearest
hundredth.

If a line is perpendicular to one of the

two given parallel lines then it is also perpendicular to the other line.

As we know that by the theorem of perpendicular transversal theorem that in the plane, if a transverse is perpendicular to one or two parallel lines, then it is perpendicular to the third line. ... Since, they do not touch or interact with each other they are said to be parallel to each other.

Answer:

B 13/2

Step-by-step explanation:

2x² + 7x - 15 = 0

First we want to find the two solutions

We can do this by using the quadratic formula

Quadratic formula:

[tex] \frac{- b + or - \sqrt{b {}^{2} - 4(a)(c)} }{2(a)} [/tex]

Where the values of a,b and c are derived from the equation.

The equation is put in ax² + bx + c = 0 form

2x² + 7x - 15 = 0

so a = 2, b = 7 and c = - 15

We now plug these values into the quadratic formula

(-(7) + or - √7² - 4(2)(-15) ) / 2(2)

first solution: -(7) + √7² - 4(2)(-15) ) / 2(2)

remove parenthesis on 7

(-7 + √7² - 4(2)(-15) ) /2(2)

Apply exponents 7²

(-7 + √49 - 4(2)(-15) ) /2(2)

Multiply -4,2 and -15

(-7 + √49 + 120 ) / 2(2)

add 49 and 120

(-7 + √ 169 ) / 2(2)

Take square root of 169

(-7 + 13 ) / 2(2)

add 13 and -7

6/2(2)

multiply 2 and 2

= 6/4

The first solution is 6/4 or 1.5

Now the second solution: -(7) - √7² - 4(2)(-15) ) / 2(2)

For the second solution we basically go through the same steps as for finding the first solution, the only difference is instead of adding -b and √b² - 4(a)(c) we are subtracting.

So we would have ( -7 - 13 ) / 2(2) instead of (-7+13)/2(2)

So second solution: ( -7 - 13 ) / 2(2)

subtract 13 from -7

-20/2(2)

multiply 2 and 2

-20/4

divide

The second solution is -5

Now that we have found the solutions we want to find r - s if r and s are the solutions to the equation and that r > s

The two solutions are 6/4 and -5.

6/4 > -5 so we know that r must equal 6/4 and s must equal -5 because r has to be greater than s

So if r = 6/4 and s = -5

Then r - s = 6/4 - (-5) = 6/4 + 5 = 13/2

So the answer is B. 13/2

Answer: 75%

Step-by-step explanation:

35% of 5 liters is 1.75 liters

1.75 liters + 8 liters = 9.75 liters (only juice)

(5 liters + 8 liters = 13 liters) (the whole thing)

So, 9.75/13 is 75%

Answer:

- 2 ≤ x < 8

Step-by-step explanation:

The closed circle at x = - 2 means that x can equal - 2

The open circle at x = 8 means that x cannot equal 8

All value in between are possible values for x, then the inequality is

- 2 ≤ x < 8

Answer:

Well apparently you don't know your Alphabet

Step-by-step explanation:

So it is

A.B.C.D.E.F.G.H.I.J.K.

The correct order is ABCH.

Arrangement according to the normal order of the letters in the alphabet.

Given that a puzzle

The correct order of alphabets to reach the key is ABCH.

Hence, the answer is ABCH.

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Answer:

IM fINNA GUESS B

Step-by-step explanation:

Answer:

look at the picture ..........

Answer:

Step-by-step explanation:

If the males make up 60% of the class then

The females make up 100 - 60 = 40% of the class.

Females = 40% * x        where x = the class size.

380 = 40/100 * x

380*100 =38000

38000 = 40  x

38000/40 = x

x =950

Answer:

→ 59.95 multiplied by 44.95 is 2694.7525

→ 13.95 multiplied by 15.95 is 222.5025

(I am not sure if this is correct but I hope you get this correct, but I wish you  good luck! with your homework.)

Step-by-step explanation:

x = -2

is a given.

now use this also in the first equation :

y = 2/3 × -2 + 3 = -4/3 + 9/3 = 5/3

so, [-2, 5/3] is correct

Answer:

The correct option is;

C. She should go back and remeasure all of her specimens again to find the error. If she can't do this, she should eliminate the outlier from the analysis, because this is an error in recording

Step-by-step explanation:

In order to minimize error in measurement, some valuable steps includes;

1) Perform a double check on all measurements to ensure that the measurements recorded are accurate

2) Ensure proper training before taking measurements

3) Measurements should only be taken under controlled conditions

4) Separate the entire population into smaller groups for proper recording

5) Have a second observer double check the records

Elena should remove the outlier of 122 centimeters (about 4 feet) from her dataset during data analysis due to its significant deviation from the typical lengths of beetles.

When analyzing her data, Elena should consider removing the outlier of 122 centimeters (about 4 feet) from her dataset. The Outlier is defined as a "data-point" which significantly deviates from the overall-pattern of the data.

In this case, the recorded length of 122 centimeters is likely an error or anomaly, as it is much larger than the typical lengths of beetles. Removing the outlier will help ensure that her analysis and conclusions accurately reflect the majority of the data and the actual behavior of the beetles.

Learn more about Outliners here

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(2m + n) (2n -m)

2m×2n-2m×m+n×2n-mn

4mn-2m^2 +2n^2-mn

4mn-mn-2m^2+2n^2

3mn-2m^2+2n^2

Answer:

x= 12 cm

Step-by-step explanation:

Answer:

[tex]x=(4\sqrt{3})/3[/tex]

Step-by-step explanation:

If we know that it is equilateral, we know that all angles are 60 degrees, which makes the top smaller triangle a 30-60-90 triangle. Applying the 30-60-90 triangle theorem, we get x=4/sqrt3. By rationalizing the denominator, we get [tex]x=(4\sqrt{3})/3[/tex]

Answer:

135 divided by 4

Step-by-step explanation:

Answer:

[tex]m=-8[/tex]

Step-by-step explanation:

[tex]2m+6=-10\\2m=-16\\m=-8[/tex]

Invisible Steps:

Subtract 6 on each side:

[tex]2m+6-6=2m[/tex]

[tex]-10-6=-16[/tex]

Divide by 2 on each side:

[tex]2m[/tex] ÷ [tex]2=m[/tex]

[tex]-16[/tex] ÷ [tex]2=-8[/tex]

Answer:

It's B.

Step-by-step explanation:

Answer:

About 30.06 pounds

Step-by-step explanation:

In order to solve this, you would need to multiply the total weight on earth (180 Ibs) by the force of gravity on the moon (0.167).

Answer:

1. 5  2. 31  3. 55

Step-by-step explanation:

1. 2(4)-3=8-3=5

2. 4(7)+3=28+3=31

3. 3(4)+8(7)-13=12+56-13=56-1=55

Answer:

1 is 5, 2 is 31, and 3 is 55

Step-by-step explanation:

you substitute n in for 4, and for 1 you get 2(4)-3, and 2(4) =8-3 is 5. you substitute the n and b values in for the actual number, and you can get an easier answer.

Answer:

120 / (x+y) = 8

Step-by-step explanation:

120 / (x+y)

= 120 / (3+12)

= 120/15

= 8

Answer:

A) obtuse angles

Step-by-step explanation:

Options:

A.obtuse

B.acute

C.straight

D.small

Correcr Answer A) obtuse

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

PRACTICE.....ONCE THERE WAS A TIME WHEN I'D USED TO FAIL IN MATHS.....BUT NOW I ALWAYS GET 90+ IN MATHS!!!!!

Answer:

Yes, P(A) = P(A|B)

Step-by-step explanation:

The context of the question is incomplete but I've assumed logically what it might be;

Whether a traveller flies or doesn't fly to their destination is unrelated to whether they home share or not;

Therefore, they are independent;

Independent events are events where the outcome of one event has no effect on the probabilities of the outcomes from a second event;

This can be represented mathematically as: P(A) = P(A|B);

The corollary of this is P(B) = P(B|A);

A common example easily understood would be if you flip a coin, there is a 50% chance of heads and 50% chance of tails;

If I flip and gets a heads first, the probability of getting a heads or tails on the second, third or tenth flip is going to be unchanged, i.e. 50% chance of heads and 50% chance of tails

Answer:

part A

y = 2x -1

the slope is 2/1 means it will be up 2 right 1 or down 2 left 1 the slope is positive

the y-int is -1

y = 4x -5

the slope is 4/1 means it will be up 4 right 1 or down 4 left 1 the slope is positive

the y-int is -5

part B  

the solution to this is (2,3)

Step-by-step explanation:

Answer:

Part A:

y = 2x - 1

Slope = 2/1

Y intercept = -1

y = 4x -5

Slope = 4/1

Y intercept = -5

Part B:

x = 2    y = 3

Step-by-step explanation:

Part A: To solve the pair of equations graphically, we need to plot the 2 lines on a graph, and look at where they intercept. Then we draw a vertical line from the intersection to the x axis and we know what x is equal to. Laslty, we draw another line (horizontal) from the intersetcion to the y axis and we know what y is equal to.

Equation of a line: y = mx + c

where mx is the slope and c is the y intercept

y = 2x - 1

Slope = 2/1 -- 2 divided by 1 because it goes 2 squares up and 1 to the right

y intercept = -1

y = 4x - 5

Slope = 4/1

y intercept = -5

Part B:

Solving for x:

Since we know that y = 2x - 1 but also 4x - 5, then:

2x - 1 = 4x - 5

2x + 4 = 4x

4 = 2x

x = 2

Solving for y:

Since we know that x = 2, we just have to replace it in one of the two equations, let's say y = 2x - 1. This would give us:

y = 2 x 2 - 1

y = 4 - 1

y = 3

Answer: How would i know what im calculating?

Step-by-step explanation:

Answer:

4th option

Step-by-step explanation: