Give reason why n2=x

Give Reason Why N2=x

Answers

Answer 1

9514 1404 393

Answer:

P₂ and x are both supplementary to N₁Q₁R = 90° -xΔSMP ≅ ΔSMR ∴ PS ≅ SR

Step-by-step explanation:

1. Angles P₂ and N₁ are opposite angles of inscribed quadrilateral PMNQ, so are supplementary. Angles N₁ and N₂ form a linear pair, so are supplementary. Angles supplementary to the same angle (N₁) are congruent, hence P₂ = x ≅ N₂

__

2. ΔPMQ is isosceles, so angle Q₁ is also congruent to x.

__

3. In ΔPMQ, the sum of angles is 180°, so ...

  M₁ +2x = 180°

Dividing by 2 gives ...

  M₁/2 +x = 90°

Angle M₁ subtends arc PQ of circle M. Angle R inscribed in circle M subtends the same arc, so ...

  R = (M₁/2)

  R = 90° -x

__

4. From the above, we know that angles N₂ and R are complementary (total 90°), so angle S₂ = 90°. Segment MS will only intersect chord PR at right angles at the midpoint of that chord.

Hence S is the midpoint of PR and PS = SR.


Related Questions

Jesse has three one-gallon containers. The first
3
one has of a gallon of juice, the second has
gallon of juice and the third has of a gallon of juice.
How many total gallons of juice does Jesse have?

Answers

Step-by-step explanation:

Total gallons of juice = No. of containers x one gallon of juice

= 3x1

= 3 gallons of juice

Sam takes 6 apples from the basket, that is, only 25% of all apples in the
basket. What is the total number of apples in the basket?​

Answers

Answer:

24 apples

Step-by-step explanation:

set up the problem 6=0.25X. then divide 6 by 0.25 to get X by itself. 24 is the answer.

Emiliano firmó hoy un pagaré por la cantidad de $ 92.000. la tasa de interés estipulada es un 20% anual
Cuantos dias se necesitan para los intereses de la playa $ 8.000

Answers

Answer:

159 días.

Step-by-step explanation:

Dado que Emiliano firmó hoy un pagaré por la cantidad de $ 92.000 a una tasa de interés estipulada de un 20% anual, para determinar la cantidad de días que se necesitan para que dicho interés genere unos $8.000 se debe realizar el siguiente calculo:

92.000 x 0.2 = X

18.400 = X

18.400 / 365 = 50,41

8.000 / 50,41 = X

158.69 = X

Así, se necesitarán 159 días para que se generen $8.000 en intereses.

helpppp quckkkkk is timeddddd i will give brainliest to whos quickest and right

Answers

Answer:

A if I'm wrong I apologize

For a company picnic, Melissa ordered a box of fresh-baked gingerbread cookies and sugar cookies. She got 25 cookies in all. 4 of the cookies were gingerbread. What percentage of the cookies were gingerbread? pls help me asap WILL GIVE BRAINLEST​

Answers

Answer:

16% of the cookies were gingerbread.

Step-by-step explanation:

4/25 = 16/100 or 16%

Hope this helps! :)

Determine the ordered pair of the y-intercept of the function below:
y= x2 + 4x – 8

Answers

Answer: If you want to graph it this is ez (0, -8)

Step-by-step explanation:

Oscar ran the 100-yard dash in 12.65 seconds. Jesiah ran the 100-yard dash in 11.57 seconds.

How many seconds faster was Jesiah's time than Oscar's time?

Jesiah's time was faster than Oscar's time by seconds.

Answers

12.65-11.57=1.08 hope this helped

Answer:

Jesiah's time was faster than Oscar's time by 1.08 seconds.

Step-by-step explanation:

To find how much faster Jesiah ran than Oscar, subtract Oscar's time with Jesiah's time.

12.65 - 11.57 = 1.08

Jesiah was faster than Oscar by 1.08 seconds.

Good luck ^^

Valerie and Bret have a total 18 dog show ribbons. Bret has twice as many ribbons as
Valerie
How many ribbons does each have?
no

Answers

Twice = double, double means x2 so 18/2 is 9 9x2=18 so valerie has 9 ribbons — hope this helps!

Answer: Valerie has 9 and Bret has 18

Step-by-step explanation:

27-18= 9

Use f(x)=-2x+5 to find x when f(x)=11

Answers

When it asks this question, ultimately you want to plug 11 into x because its f(x). 11=-2+5.

Then you subtract 5 on both sides because of the opposite of addition is subtraction.

6=-2x

now divide on both sides

x=-3

The length of a room is 19 feet. When using a 1/4 inch = 1 foot scale, what would be
the length of the wall on a floor plan?

Answers

Answer:

1 Expert Answer

19.5 ft would be represented, in the floor plan, as ¼ of 19.5 inches, i.e. 4.875 inches (four and seven eighths inches).

Please like and give me brainliest and rate!

The length of the wall on the floor plan will be 4.75 in


Step by step

The length of the wall is 19 ft
1/4 of an inch = 1 ft
19/4 = 4.75in (4 3/4 in)

After simplifying, what will x be equivalent to?
a2a4=ax

Answers

Answer:

x=8a

Step-by-step explanation:

Given data

We have the expression

a2a4=ax

Simplifying the LHS(Left Hand Side)

8a^2=ax

8a=x

Hence x will simplify to

x=8a

Devon can take one of three different buses to and from work (bus a, b or c). he randomly catches one bus in the morning and another one on teh way home. teh table list the sample space of outcomes

Answers

Answer:

BB

Step-by-step explanation:

Answer:

ca

Step-by-step explanation:

help please need asap

Answers

Answer:

4.5

Step-by-step explanation:

4 * 1.5 = 6

3* 1.5 = 4.5

1.5=4.5
1.5=6
I think

According to order of operations, which operation should be done first in this
problem:
45 - 9.5 + 8
a. multiplication
b. addition
c. division

Answers

D) division (PEMDAS)

Imagine that for every inch of rain that fell here, a nearby community in the mountains received a foot and a half of snow. How many inches of snow fell in the mountain community between 5:00 pm and 7:00 pm? HELP PLEASE AND QUickLY!

Answers

Answer:

I think it's 0.2 inches of snow????

Ainsley is going to the movies. The movie ticket costs $9.75. Snacks, s, cost $4.75 each. Write an equation to represent the total cost, t, of Ainsley’s trip to the movies.

Answers

Answer:

T = 9.75 + 4.75 s

Step-by-step explanation:

total cost: T = 9.75 + 4.75 s

S = each snack

so the equation for Ainsley’s trip to the movies is

T = 9.75 + 4.75 s

please help me i really need help please please please

Answers

Answer: ≈117.15375m (if you're expected to round make sure you do so!)

Explanation: Because this a right triangle, you can apply the pythagorean theorem which is a^2 + b^2 = c^2. a and b can be any side except the hypotenuse (the one across from the 90° angle). You take 90^2 + 75^2 = c^2. This equals 13,725 after that you can take the square root of it and you're left with ≈ 117.15375m

Hope this helped! :)

17. Mrs. King took 12 crates packed with lunch boxes on a field trip. Each crate had 6 lunch boxes inside. How many lunch boxes were there altogether? Write a multiplication sentence to solve. IRROR​

Answers

Answer:

12 x 6 = 72

Step-by-step explanation:

if she took 12 crates each with 6 boxes inside of them thats 12 x 6 lol

simple math moment

Does anyone know how to do both of these questions?

Answers

Answer:

Step-by-step explanation:

y = x^2+ 2x + 7
y = 7 + x

Answers

Answer:

when x=0 y=7

when x=-1 y= 6

Step-by-step explanation:

to find x & y we can make the two x expressions equal to each other

x²+2x+7=7+x (we are going to set it equal to zero to find the roots/the x value)

x²+x=0

x(x+1)=0

x=0 x=-1 (two solutions for x)

now we just plug in these values and find the y values

when x=0 y=7

when x=-1 y= 6

Catherine got 9 3/8 pounds of cherries from her tree this year last year she only got 6 1/4 pound how many times more pounds did she get this years than last year

Answers

Answer:

Answers and steps are in picture.

Use the given information to find the new price. Round to the nearest cent.

Original Price: $28
Discount Rate: 28%

Answers

Answer:

Step-by-step explanation:

7.84 = 8.

Answer:

Original Price: $28

Discount Rate: 28%

new price=?

we have

discount:

28% of 0riginal Price=28/100×$28=$7.84

now

new Price=original -discount price=$28-7.84=$20.16 is your answer

SOMEONE PLEASE HELP ME WITH THIS QUESTION IT WOULD MEAN ALOT IM REALLY STRUGGLING

Answers

Answer:

The volunteers should be a group of 10 and meditators should be 5 groups.

Step-by-step explanation:

Find the sum of the first 20 terms of the sequence 2,8,14,20

Answers

Answer:

S20=230

Step-by-step explanation:

2,8,14,20first determine whether it is arithmetic progression or geometric sequence. for APCommon difference (d) = second term - first term

D=T2-T1 D=T3-T2

D=8-2 D=14-8

D=6 D=6

Also try for GP COMMON RATIO= T2/T1

r=T2/T1 r=T3/T2

r=8/2 r=14/8

r=4 r=7/4

therefore, we can conclude that this is AP since we have the same common differences in the sequence

Sn=n/2[2a+(n-1)]. where, a=first term n=number of terms S20=20/2[2*2+(20-1)] S20=10(4+19) S20=10(23) S20=230

Answer: 1180

Step-by-step explanation:

since its going 2,8,14,20, we can see it goes up by 6 every time Add 6 every time until u have 20 Numbers in total(including 2,8,14,20) then add them together to get ur total


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

<HIK to <GFD

Step-by-step explanation:

Alternate exterior angles are angles that are on the exterior sides alternately on a transversal

Answer:

∠HIK and ∠GFD

Step-by-step explanation:

Alternate exterior angles are angles that lie on the same parts of the parallel lines, but on alternate (different) sides.

∠HIK is on the lower left.

∠GFD is on the upper right.

The greatest common factor of 30 and 18 is 6. What do you think the term greatest common factor means?

Answers

Answer: 6

Step-by-step explanation:

6 x 5 = 30

6 x 3 = 18

6 x 1 = 6

The term greatest common factor means the biggest number that can divide into a group of numbers, and in this case, the numbers are 30, 18, 6, and the biggest number that can divide into all of them is 6.

Hope this helps,

Good luck!

A common factor is a number with which two or more numbers will be divided equally.

2. Determine whether segment AB is tangent to the given circle
12 pol
2. AB
А
12
B
13
Yes
No

Answers

Answer:

no

Step-by-step explanation:

13² should be equal to 4² + 12² for that

checking, we get that 169 is not equal to 16+144= 160

so it's not right angle

to be tangent, it should be right angle

Answer #1 please ASAP

Answers

Answer:

4.5

Step-by-step explanation:

To find the median, put the data in order from smallest to largest

1,2,2,3,4,4,5,5,8,10,10,11

The count up the number of data points

12

Divide by 2

12/2

Split the data into 2 groups, 6 in each, starting at the beginning

1,2,2,3,4,4,   5,5,8,10,10,11

Since there is an even number

Add the last number in first group and the first number in the last group and divide by 2

(4+5)/2 = 9/2 = 4.5

The median is 4.5

the correct answer is 4.5

If a driver drives at a constant rate of 38 miles per​ hour, how long would it take the driver to drive 209 ​miles?

Answers

Answer:

5 hours and a half!

Step-by-step explanation:

209miles divided by 38 miles per hour is 5.5!!

5.5 miles 209 divided by 38

Combine the like terms to create an equivalent expression.
2q+2+9

Answers

Answer:

the answer is 2q + 11 because 2 and 9 are like terms so you can add them

Answer:

2q+11

Step-by-step explanation:

khan said so

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