Js need a simple answer

B) <2≅<6

When a transversal crosses over 2 parallel lines there are certain statements that can be made, such as the fact that corresponding angles are congruent.

Defining a Corresponding Angle

Corresponding angles are angles that have the same relative position with different vertices. For example, if 2 angles are both in the bottom left of an intersection of 2 lines, they are corresponding. Since both angle 2 and 6 are in the top right, they are corresponding.

Proving the Lines are Parallel

Since corresponding angles are congruent when a transversal crosses parallel lines, any statement that proves corresponding angles are congruent would prove the lines are parallel. This means that <2≅<6 must prove that l║m.

Process of Elimination

Additionally, we can prove that B is correct by proving that the other answers are incorrect.

A) Angle 2 and 3 are vertical angles. This has nothing to do with parallel lines and cannot be used to prove that l║m.

C) Angle 7 and 8 are a linear pair, and, once again, this has nothing to do with whether or not l and m are parallel.

D) If l and m were parallel, then angles 3 and 5 would sum to 180 degrees. this is because if l║m, then <3 and <5 would be same side interior angles. Same side interior angles always sum to 180. So, this statement would actually disprove l║m.

The dot product between the two vectors is equal to 14.

If we have two vectors:

A = <x, y>

B = <z, k>

The dot product between these two is:

A·B = x*z + y*k

Here we have the vectors.

x = <-1, 4> and y = <-2, 3>

Then the dot produict x·y gives:

x·y = -1*-2 + 4*3

     = 2 + 12

      = 14

The dot product is 14.

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A double number line means the values of two different quantities are expressed in two separate lines such as corresponding values align. Here 1ml of blue water will need 3 ml of yellow water.

Here double line represents the relation between yellow water and blue water required to produce green water. 5ml of blue water needs 15ml of yellow water.

So the ratio is 5 : 15

3. One division in the line for blue water represents 1ml and 1 division in yellow water line is 3 ml.

We can also solve it using proportions

5 : 15 :: 1: x

5/15 = 1/x

x = (1×15)/5 = 3 ml

4. For 11 ml of blue water, it will require 33 ml of yellow water.

5. For 8 ml of blue water, 24 ml of yellow water is needed.

6. If we know the volume needed with 1ml of blue water, we can multiply that volume with any quantities of blue water to calculate the volume needed. For example 4 ml of blue water needs 4×3 = 12 ml of yellow water.

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The complete question is as below.

The other day, we made green water by mixing 5 ml of blue water with 15 ml of yellow water. We want to make a very small batch of the same shade of green water. We need to know how much yellow water to mix with only 1 ml of blue water.

1. On the number line for blue water, label the four tick marks shown.

2. On the number line for yellow water, draw and label tick marks to show the amount of yellow water needed for each amount of blue water.

3. How much yellow water should be used for 1 ml of blue water? Circle where you can see this on the double number line.

4. How much yellow water should be used for 11 ml of blue water?

5. How much yellow water should be used for 8 ml of blue water?

6. Why is it useful to know how much yellow water should be used with 1 ml of blue water?

Answer:

its 1.8

Step-by-step explanation:

Answer:

answer is 1271.1 inches

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Answer:best thing for you is drink milk

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer: 0,1,2,3

Step-by-step explanation:

Since y is greater than or equal to 0 every number.

But for 7.2-y is greater than 4,

If y is 1, 6.2>4

If y is 2, 5.2>4

If y is 3, 4.2>4

If y is 4, 3.2 is not greater than 4.

The integer solution to each system of the inequalities is 0≤y≤3.2

Given the inequalities y≥0  and 7.2−y≥4

For the inequality y≥0 , this means that y is a value greater than zero.

For the inequality 7.2−y≥4

subtract 7.2 from both sides

7.2−y - 7.2≥4 - 7.2

-y ≥ -3.2

y ≤ 3.2

Combining both inequalities;

y≥0 and y ≤ 3.2

0≤y≤3.2

Hence the integer solution to each system of the inequalities is 0≤y≤3.2

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The rate is his distance from second base decreasing when he is halfway to first base is -45ft

The rate is his distance from third base increasing at the same moment is 26ft

Let's call the batter's distance from second base "x" and his distance from third base "y". We want to find dx/dt (the rate at which x is changing) and dy/dt (the rate at which y is changing) when the batter is halfway to first base.

Since the baseball diamond is a square, we know that the distance from second base to first base is also 90 ft. Therefore, when the batter is halfway to first base, his distance from second base is:

x = 90 ft - 45 ft = 45 ft

Now we can find dx/dt by taking the derivative of x with respect to time:

dx/dt = -26 ft/s

The negative sign indicates that x is decreasing, as we expected.

Next, we need to find the rate at which the batter's distance from third base is increasing when he is halfway to first base. We know that the distance from third base to first base is also 90 ft, so the distance from the halfway point to third base is:

y = 90 ft - 45 ft - 90 ft = -45 ft

Well, in this case, it means that the batter is actually behind third base when he is halfway to first base. So, we need to flip the sign of y to make it positive:

y = -(-45 ft) = 45 ft

Now we can find dy/dt by taking the derivative of y with respect to time:

dy/dt = 26 ft/s

The positive sign indicates that y is increasing, as we expected.

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Complete Question:

A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 26 ft/s.

At what rate is his distance from second base decreasing when he is halfway to first base?

At what rate is his distance from third base increasing at the same moment?

The relationship between the mean and median can provide information about the shape of the distribution and the presence of outliers.

The mean and median can be either close to the same value or very different from one another, depending on the distribution of the data.

If the data is approximately symmetric, with no extreme values, then the mean and median will be close to each other. In this case, the data is evenly distributed around the central tendency of the data, so both measures provide a similar representation of the central value.

However, if the data is skewed, with one tail longer than the other, or if there are extreme values (outliers) present in the data, then the mean and median will be different.

In this case, the mean is pulled in the direction of the skew or outliers, while the median remains unaffected.

As a result, the mean may not provide an accurate representation of the central tendency of the data.

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Answer:

h = \(-\frac{17}{6}\)

Step-by-step explanation:

7 + 2(1 + 6h) = -25

Distribute,

7 + 2 + 12h = -25

Simplify,

7 + 2 + 12h = -25

9 + 12h = -25

-9            -9

12h = -34

/12      /12

h = \(-\frac{17}{6}\)

Answer:

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius.

In this case, we are given that the area is 4π cm². Solving for the radius, we get:

4π = πr^2

r^2 = 4

r = 2

So the radius of the circle is 2 cm.

The formula for the circumference of a circle is:

C = 2πr

Plugging in the value for the radius, we get:

C = 2π(2) = 4π

Therefore, the circumference of the circle is 4π cm.

The number of sophomores after reducing ratio 1840.

What is ratio?

 A ratio in math displays how many times one number is contained in another. The ratio of oranges to lemons, for instance, is eight to six if there are eight oranges and six lemons in a bowl of fruit. In a similar way, the ratio of oranges to all other fruits is 8:14, while the ratio of lemons to oranges is 6:8.

Here the ratio is,

=> freshmen: sophomore = 12: 16

Here there total is 3220.

Total ratio = 12+16 = 28 ,

Then ,

28 = 3220

16 = x

After inter multiplication ,

=> x = \(\frac{3220*16}{28}\)

=> x = 1840.

Hence the number of sophomores is 1840.

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Answer:

Reduction; enlargement

Step-by-step explanation:

When the scale factor is between 0 and 1, the figure  shrinks, making it a reduction in size.  When its greater than 1, the figure grows, enlarging it.  If the scale factor is 1, the figure stays the same and doesn't shrink or grow.

Answer:

Answer is below

Step-by-step explanation:

A dilation with a scale factor between 0 and 1 is a reduction, while a dilation with a scale factor greater than 1 is an enlargement.

If you multiply the scale factor by more than 1, the scale factor will increase, causing an enlargement. If you multiply the scale factor by between 0 and 1, the scale factor will decrease, causing a reduction.

The value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9

From the question, we are to determine the values of the missing sides

From the diagram,

Opposite = 9

Adjacent = y

Hypotenuse = x

Included angle = 45°

Using SOH CAH TOA, we can write that

\(tan 45^\circ= \frac{9}{y}\)

\(1 = \frac{9}{y}\)

∴ y = 9

Since the triangle is a right triangle, we can write that

x² = y² + 9² (Pythagorean theorem)

x² = 9² + 9²

x² = 81 + 81

x² = 162

x = √162

x = 12.7

Hence, the value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9

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Answer:

It is - \(\frac{1}{4}\) throughout the line

Step-by-step explanation:

The points O, A and B lie on the line and so the slope will be the same for OA, OB and AB

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = B(- 12, 3) and (x₂, y₂ ) = O(0, 0)

m = \(\frac{0-3}{0+12}\) = \(\frac{-3}{12}\) = - \(\frac{1}{4}\)

Thus the slope is - \(\frac{1}{4}\) throughout the line.

Answer:

help help help help help how help on what the heck

Step-by-step explanation:

Answer:

help help help help help  hey hi he

Step-by-step explanation:

The evaluation of the segment formed by the parallel lines using Thales Theorem also known as the triangle proportionality theorem are;

8. \(\overline {ST}\) is parallel to \(\overline{PR}\)

9. \(\overline{ST}\) is parallel to \(\overline{PR}\)

10. \(\overline{ST}\) is not parallel to \(\overline{PR}\)

11. x = 57.6

12. x = 25.8

13. x = 11

14. x = 10

15. x = 5

16. x = 17

Thales Theorem also known as the triangle proportionality theorem states that a parallel line to a side of a triangle that intersects the other two sides of the triangle, divides the two sides in the same proportion.

8. The ratio of the sides the segment \(\overline{ST}\) divides the sides QR and QP of the triangle ΔPQR into are; 7/11.2 = 10/16 = 0.625

Therefore; according to the Thales theorem, \(\overline{ST}\) ║ \(\overline{PR}\)

9. The ratio of the sides the parallel side to the base divides the other two sides are;

33/41.8 = 15/19

45/(102 - 45) = 45/57 = 15/19

Therefore, \(\overline{ST}\) and \(\overline{PR}\) bisects \(\overline{QP}\) and \(\overline{QR}\) into equal proportions and therefore, \(\overline{ST}\) ║ \(\overline{PR}\)

10. The ratio of the sides the segment \(\overline{ST}\)  bisects the other two sides are;

24/57 and 19/38

24/57 ≠ 19/38, therefore \(\overline{ST}\) ∦ \(\overline{PR}\)

Second part; To solve for x

11. x/30 = 48/25

x = (48/25) × 30 = 57.6

x = 57.6

12. x/34.4 = (49 - 28)/28

x = 34.4 × (49 - 28)/28 = 25.8

x = 25.8

13. (2·x + 6)/52.5 = 32/60

(2·x + 6) = 52.5 × (32/60)

x = (52.5 × (32/60)) - 6)/2 = 11

x = 11

14. (x - 3)/21 = (x - 1)/27

27·x - 27 × 3 = 21·x - 21

27·x - 81 = 21·x - 21

6·x = 60

x = 60 ÷ 6 = 10

x = 10

15. (35 - 20)/20 = (4·x - 2)/(7·x - 11)

15/20 = (4·x - 2)/(7·x - 11)

15 × (7·x - 11) = 20 × (4·x - 2)

105·x - 165 = 80·x - 40

105·x - 80·x = 165 - 40 = 125

25·x = 125

x = 125/25 = 5

x = 5

16. (x - 3)/35 = 4/(x - 7)

(x - 3) × (x - 7) = 35 × 4 = 140

x² - 10·x + 21 = 140

x² - 10·x - 119 = 0

(x - 17) × (x + 7) = 0

x = 17 or x = -7

Therefore, the possible value of x is 17

x = 17

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Answer:

w

the square root of 95 =9.75 and w is placed at about 9.75

Answer:

W

Step-by-step explanation:

square root of 95 is 9.74 smth

Answer:ce  6x^2=216

Step-by-step explanation:

since this is a cube, the length, width, and height are the same, so they can all be replaced with one variable, x. When simplified, the equation reads 6x^2=216

Answer:

b=-144

Step-by-step explanation:

b/24=-6

cross multiplication

b=24×-6

=-144

An estimated 69.8% chance exists that 15 or more out of 20 planes will arrive on schedule.

The 20 flights were simulated 25 times in this scenario, and the outcomes were 11, 15, 14, 8, 17, 14, 16, 15, 17, 15, 9, 13, 16, 12, 18, 14, 16, 13, 15, 16, 14, 18, and 9. These figures add up to a total of 349 on-time departures out of 500 simulated departures.

It might be difficult to determine the likelihood that 15 or more aircraft out of 20 will depart on time. Thankfully, several approaches may be utilized to gauge the chance. One such approach is to simulate the issue under consideration several times, analyze the results, and then determine an estimated likelihood.

Therefore, an estimated 69.8% chance exists that 15 or more out of 20 planes will arrive on schedule.

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Answer:

Step-by-step explanation:

Yasmina:

5.25 x  5 = 26.25 per week

5.25 x 20 = 105 per month

5.25 x 260 = 1365 per year

Camila:

9.75 x 35 = $ 341.25 earnings per week

341.25  x 0.20 = 68.25 saves per week

9.75x35x 4= 1365 earnings per month

1365 x 0.20 = 273 saves per month

9.75 x 35 x 52 =  17745 earnings per year

17745 x 0.20 = 3549 saves per year

Answer:

13260

Step-by-step explanation:

Front end estimation would be 9411 + 3849 I believe, I hope im right and I hope i helped you :)

Answer:

(800 x 110) / 1000

The probability that the spinner lands on 4​ under the condition that he rolls a 1 is 2/27,

Given that the spinner with 9 equally spaced regions numbered 1 to 9​ and a standard number cube is rolled,

So, the probability of spinning a 4 is = 4/9

The probability of rolling a 1 is = 1/6

The probability of both happening is = 1/6 x 4/9 = 4 / 54 = 2/27

Hence the probability that the spinner lands on 4​ under the condition that he rolls a 1 is 2/27,

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The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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