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The total number of pairs of vertical angles formed by five distinct lines that have a common point of intersection is: 10 pairs.

To find how many pairs of vertical angles are formed by five distinct lines that all intersect at a common point, we need to understand a few key concepts about vertical angles and intersecting lines.

[tex]\binom{n}{2} = \frac{n(n-1)}{2}[/tex]

Where [tex]n[/tex] is 5 in this case.

Calculation: Plugging in the values, we get:

[tex]\binom{5}{2} = \frac{5 \cdot 4}{2} = 10[/tex]

So, there are 10 pairs of intersecting lines.

Vertical Angle Pairs per Intersection: For each of these 10 intersections, there is exactly one pair of vertical angles.

Each intersection of two lines forms one pair of vertical angles, and with 10 intersections, we have 10 pairs of vertical angles.

[tex] {10}^{2} + {7}^{2} = {c}^{2} \\ \sqrt{100 + 49} = c \\ c = \sqrt{149} [/tex]

but c=12. 12^2=144

Answer: It isnt a right triangle

Answer:

12, 5, 1 1/2, -12, -19

Step-by-step explanation:

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Answer:

1, 3, 5

Step-by-step explanation:

Let the number be n

1.Twice a number minus nine and two tenths is the same as the number plus four fifths.

Twice a number is 2n. nine and two tenth = 9.2. Therefore twice a number minus nine and two tenths = 2n - 9.2. the number plus four fifths = n + 4/5

The resulting equation is 2n-9.2 =n+4/5

2.Nine point two decreased by double a number is the same as the number added to four fifths.

Nine point two = 9.2, double a number = 2n. Therefore, Nine point two decreased by double a number is 9.2 - 2n

The resulting equation gives  9.2 - 2n = n + 4/5

3.Nine point two less than twice a number is equal to the number added to four fifths.

Nine point two = 9.2, twice a number = 2n. Therefore Nine point two less than twice a number = 2n - 9.2

The resulting equation is 2n-9.2 =n+4/5

4.Two times the difference of a number and nine and two tenths is equal to the number plus four fifths.

The difference of a number and nine and two tenths is given by n - 9.2. Therefore, Two times the difference of a number and nine and two tenths is 2(n - 9.2).

The resulting equation is 2(n - 9.2) = n + 4/5

5.Double a number decreased by nine and two tenths is the same as the sum of four fifths and the number.

Double a number decreased by nine and two tenths is 2n - 9.2

The resulting equation is 2n-9.2 =n+4/5

Answer:

1 Twice a number minus nine and two-tenths is the same as the number plus four-fifths.

3 Nine point two less than twice a number is equal to the number added to four-fifths.

5 Double a number decreased by nine and two-tenths is the same as the sum of four-fifths and the number.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Slope = rise / run

in this case, rise is 17 yd and run is 295 yd.

so its 17/295

The area of the square will be 640 sq cm.

Step-by-step explanation:

Given,

Number of strip = 4

Length (l) of each strip = 40 cm

Width (b) of each strip = 4 cm

To find the area of the inner square.

Formula

The area of rectangle = l×b

If the area of a square is A, each side will be √A

Now,

Area of each strip = 40×4 sq cm = 160 sq cm

Area of 4 strips = 160×4 sq cm = 640 sq cm

Hence,

The area of the square will be 640 sq cm.

Final answer:

To find the acceleration, we subtract the initial velocity from the final velocity and then divide by the time. For the given values, this results in an acceleration of 0.833 m/s² for the walker.

Explanation:

The student has asked about the acceleration of a person who starts at 0 m/s and reaches 5 m/s in 6 seconds. To find acceleration, we use the formula:

acceleration = (final velocity - initial velocity) / time

Inserting the given values:

acceleration = (5 m/s - 0 m/s) / 6 s = 5/6 m/s²

Therefore, the acceleration of the walker is 0.833 m/s².

Answer:    

Similarities: same size, and same orientation  

Differences:  different location, and different points

Step-by-step explanation:

When your doing a translation, the only thing that changes is the location. For example if you for your pencil, the location changes not size.

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Answer:

4

Step-by-step explanation:

8+10

= 18

18-14

=4

Answer:

Step-by-step explanation:

8+10=14? 8-10= 2 2+8=10 8+10=18.....This is what I am think....

I am not sure..

Answer:

There is 2600 combinations possible.

Step-by-step explanation:

The combinations for the first lock has 10 combinations

The combinations for the second lock has 10 combinations

The combinations for the third lock has 26 combinations

The total combinations is the product of all the locks.

There is 2600 combinations possible.

Answer:

[tex]m\angle WYX=46^o[/tex]

[tex]m\angle YWX=63^o[/tex]

Step-by-step explanation:

The complete question in the attached figure

we know that

A scalene triangle has three different interior angles and three different length sides

In this problem

[tex]m\angle WYX=46^o[/tex] ----> by vertical angles

[tex]m\angle WXY=71^o[/tex] ----> is given

Find the measure of the third angle ∠YWX

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

[tex]46^o+71^o+m\angle YWX=180^o[/tex]

[tex]m\angle YWX=180^o-117^o=63^o[/tex]

Verify each statement

1) [tex]m\angle WYX=46^o[/tex] ---> is true (see explanation)

2) [tex]m\angle YWX=63^o[/tex] ---> is true (see explanation)

3) [tex]m\angle WXY=46^o[/tex] ---> is not true because ∠WXY is given and is 71 degrees

4) [tex]m\angle YWX=46^o[/tex] ---> is not true because [tex]m\angle YWX=63^o[/tex]

5) [tex]m\angle WYX=134^o[/tex] --> is not true because [tex]m\angle WYX=46^o[/tex]

The question seems to contain an error - a triangle's angles cannot sum to more than 180 degrees. Assuming the triangle issue is corrected, principles like the Triangle Sum Theorem, and laws of sines and cosines would be applied to solve it.

The question refers to a diagram depicting scalene triangle WXY, which suggests a problem in geometry, a branch of mathematics. However, the information about the measure of angle ZWXY being 710 degrees seems incorrect since the sum of angles in any triangle cannot exceed 180 degrees. It appears there's a typographical error or a misunderstanding in the transcription of the problem. In a triangle, the measures of the three interior angles always add up to 180 degrees, and no single angle can measure more than 180 degrees because it would no longer be a triangle.

Without a correct diagram or clarification of the angle measures, providing a step-by-step solution to this geometric problem is not feasible. Nonetheless, if the problem was corrected and it involves solving for missing angles or sides of a scalene triangle, one could apply geometry principles and theorems such as the Triangle Sum Theorem, the Law of Sines, and the Law of Cosines depending on the given information.

Answer:

A=-2 and B=3

Step-by-step explanation:

Step 1) Solve the first equation for A:

a+3b=7

a+3b-3b=7-3b

a+0=7-3b

a=7-3b

Step 2) Substitute (7-3b) for a in the second equation and solve for b:

2a=b-7 becomes:

2(7-3b)=b-7

(2*7)-(2*3b)=b-7

14-6b=b-7

14+7-6b+6b=b+6b-7+7

21-0=1b+6b-0

21=(1+6)b

21=7b

7b/7=21/7

=3

a=7-3b becomes:

a=7-(3*3)

a=7-9

a=-2

Answer:

27

Step-by-step explanation:

Find numbers that add up to 7.

0, 1, 2, 3, 4, 5, 6, 7

Which of those could subtract to get 3?

5 and 2

5 - 2 = 3

a = 5

b = 2

3^5 = 243

3^2 = 9

243 / 9 = 27

Minutes per day can Amber talk on her cell phone with her friends during a 30-day month, without going over her share of the minutes will be 7 minutes

The steps are as follow:

total minutes per family member = total minutes / number of family member

total minutes per family member = 840 / 4

total minutes per family member = 210 minutes

Minutes per day Amber will get = total minutes per family member / total days in month

Minutes per day Amber will get = 210 / 30 = 7 minutes per day

So Amber will get 7 minutes per day to talk on her cell phone with her friends during a 30-day month, without going over her share of the minutes

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Answer:

5

Step-by-step explanation:

3+5+6+2+9=25

25/5=5

Answer:

5

Step-by-step explanation:

The mean of a set of numbers is (sum of numbers)/(number of values)

The sum of the values is 3 + 5 + 6 + 2 + 9 = 25

The number of values is 5

25/5 = 5

Answer:

4.5 kg m/s

Step-by-step explanation:

[tex]Momentum = mass \times velocity \\ \hspace{60 pt} = 1.5 \times 3.0 \\\hspace{60 pt} = 4.5 \: kg \: m/s[/tex]

Final answer:

The momentum of a 1.5-kg ball rolling at 3.0 m/s is calculated by multiplying the mass by the velocity, resulting in 4.5 kg*m/s.

Explanation:

The momentum of an object is calculated using the formula momentum (p) = mass (m) * velocity (v). Applying this formula to the given problem, where a 1.5-kg ball is rolling at a speed of 3.0 m/s, the momentum can be found by multiplying the mass of the ball by its velocity.

So, the momentum p is given by:

p = 1.5 kg * 3.0 m/s = 4.5 kg*m/s.

Therefore, the momentum of the 1.5-kg ball rolling at 3.0 m/s is 4.5 kilogram meters per second (4.5 kg*m/s).

Answer:

Geometric mean: 6.8399037867068

Step-by-step explanation:

Answer: A. -17 , 19

Step-by-step explanation:

Move all terms to one side.

z^2-2z-323=0

​

​​z^2 −2z−323=0

Factor : z^2-2z-323

​​ z^2−2z−323.

(z-19)(z+17)=0(z−19)(z+17)=0

Solve for z.

z=19,−17

Answer:

x = 19°

y = 53°

Step-by-step explanation:

First we can find the value of x, then the value of y.

For x, we can observe from the figure that x is complementary to the angle of 71°, that is, they both summed have 90°.

So, we have that:

x + 71 = 90

x = 19°

Now we can solve for y.

From the figure we have that y is supplementary to the angle (37° + 71° + x°), that is, they summed form a angle of 180°.

So we have that:

y + 37 + 71 + 19 = 180

y = 180 - 37 - 71 - 19 = 53°

The angles x and y lie on a straight line at the intersection point of two lines and are therefore supplementary. Therefore, they add up to 180 degrees. Without further information, it's impossible to find the exact values of X or Y.

Given that two lines intersect at a common point, and this point is also the end point of two rays, we create four angles around the intersecting point. Let's denote the angles formed by the intersecting lines as angle x and angle y. According to the properties of intersecting lines, adjacent angles are supplementary. Therefore, the measures of x and y add up to 180 degrees. We set up the equation as x + y = 180. Without any additional information, we cannot find the specific values of x and y. However, we can say that whatever the value of x is, y will be 180 - x, and vice versa.

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Answer:

-0.5

Step-by-step explanation:

2+-5x1/2

-5x1/2=-2.5

2+-2.5=-0.5

Answer:

-1/2

Step-by-step explanation:

u=2

a=-5

t=1/2

Using

v=u+at

v= 2+(-5×1/2)

v=2+(-5/2)

v=2-5/2

v= -1/2

Answer:

c: line sr is a secant of circle p

Step-by-step explanation:

The true statement is (c) line SR is a secant of circle P

From the diagram, we can see that line SR passes through the circle, without passing through the center (i.e. point P) of the circle

This indicates that line SR is a secant

Given that the center of the circle is point P

Hence, the true statement is (c) line SR is a secant of circle P

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Answer:

6 x 4

24 ÷ 6

Step-by-step explanation:

6 x 4 – There are 6 boxes with 4 stars in each box. When something looks like this, it mean multiplication.

24 ÷ 6  – There are 24 stars in total. Those 24 stars are being divided by 6 boxes. In the end there are 4 stars in each box.    (So basically, 24 ÷ 6 = 4)

Answer:

Interior: 8640°

Exterior: 360° (Every shapes' exterior angle sum is 360°)

Step-by-step explanation:

Formula: 180(Sides - 2)

180(50-2) = 180(48) = 8640

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

because when you go to get health insurance, they never want to have to pay alot.  for instance, when you smoke, do risky activities, etc. that ups the risks, making your health insurance cost much more to cover for the costs of the doctors appointments, screenings, and tests that come along with those risks. this is the answer on PLATO. please make me brainliest !    

Tim has a total of 30 nickels and 40 dimes.

Linear equations are the equations which consist of two or more variables having the exponent of the variable equals 1.

Total number of coins in the Tim's piggy bank = 70 coins

Let d be the number of dime coins and n be the number of nickel coins.

So d + n = 70

Total dollars = $5.50

10 dimes = 1 dollar

1 dime = 1/10 dollar = 0.1 dollar

20 nickels = 1 dollar

1 nickel = 1/20 dollar = 0.05 dollar

0.1 d + 0.05 n = 5.50

So we have two linear equations here :  d + n = 70 and 0.1 d + 0.05 n = 5.50.

d + n = 70 ⇒ d = 70 - n

Substituting d = 70 - n in the equation 0.1 d + 0.05 n = 5.50,

0.1 (70 - n) + 0.05 n = 5.50

(0.1 × 70) - 0.1n + 0.05n = 5.50

7 - 0.05n = 5.50

-0.05n = -1.5

n = 30

So d = 70 - n = 70 - 30 = 40

Hence the number of nickel coins is 30 and number of dime coins is 40.

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Answer:

[tex]A=400+150m[/tex]

Step-by-step explanation:

since 'A' is the final amount it acts as the 'y' value, and if it's 150 per month then you would multiply the number of months (m) by 150 plus the 400 that was already there.

Look at the attached picture ⤴

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