Please explain how this diagrams works

Please Explain How This Diagrams Works

Answers

Answer 1

Answer:

x = 21°

Step-by-step explanation:

opposite angles are equal

therefore, (3x + 1)° = 64°

open the brackets

3x + 1 = 64

3x = 64 - 1

3x = 63

divide both sides by 3

x = 21°


Related Questions

I am an odd number.my digits add up to 7. i am bigger than 50 and smaller than 100.who am i?

Answers

Answer:

61

Step-by-step explanation:

i hope this is correct lol

need help asap!!! ill maek you brainliest.if anyones good at angles with proofs

Answers

The answer should be 58 because angles 2 and 3 make a right angle... 90-32=58

What is the denominator For these problems ?

Answers

Answer:

10, 6, 6, 12, 8, 3, respectively

Step-by-step explanation:

The denominator is the bottom number in a fraction.

write the ratio 2/7 to 4/5 as a fraction in simplest form

Answers

I’m gonna say that the answer is 5: 14

Divide. Write your answer in simplest form.

Answers

The answer is 0.2777777777 (repeating)
Or 0.28 (Rounded)
I hope this helps you!

if x - 2y = 1 and 2x - y = -4, then x + y = ?

Answers

Answer:

x + y = -5

Step-by-step explanation:

x - 2y = 1

2x - y = - 4

then:

x = 1 + 2y

then:

2(1+2y) - y = -4

(2*1 + 2*2y) - y = -4

2 + 4y - y = -4

3y = -4 -2

3y = -6

y = -6/3

y = -2

x = 1 + 2y

x = 1 + 2*-2

x = 1 - 4

x = -3

Check:

x - 2y = 1

-3 -2*-2 = 1

-3 + 4 = 1

Answer:

x + y = -3 -2= -5

Q
100%
Laurissa rolls two number cubes, each with the numbers 1 through 6. Laurissa adds the numbers that appear on the roll.
Which two sums have an equal chance of occurring?

A. 3 and 11
B. 4 and 7
C. 5 and 8
D. 6 and 9

Answers

Answer:

Step-by-step explanation:

it’s B

7 and 4 is the only number that has a unique chance. The correct option is B.

What are permutation and combination?

Combination and permutation are two different ways of grouping elements of a set into subsets in mathematics. The elements of the subset can be listed in any order in a combination. The elements of the subset are listed in a specific order in a permutation.

Let's analyze the possible sums of both dice, using the notation:

Dice₁ + Dice₂ = sum.

Also remember that we have 2 dice, with 6 options each. The total number of combinations is 6 x 6 = 36. we have 36 possible outcomes.

I will start at the extremes, the minimum that we can sum is 2, and the maximum is 12, then:

We can have 2 if:

1 + 1 = 2

Only one permutation.

and 12 if:

6 + 6 = 12

Again, only one permutation.

so 2 and 12 have the same chance (1 out of 36)

now, to have 3 we can have the:

2 + 1 = 3

1 + 2 = 3.

and to have 11

5 + 6 = 11

6 + 5 = 11

Again, 3 and 11 have the same probability (2 out of 36 options)

And now we can see a pattern.

4 and 10 will have the same chance.

5 and 9 will have the same chance

6 and 8 will have the same chance

7 is the only number that has a unique chance (and it has the largest one)

To know more about permutation and combination follow

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3. If 7 large pizzas are purchased for a party, the amount of pizza each person can have is
inversely proportional to the number of people who come to the party. If 14 people come to
the party, each person can have 6 slices. How many slices can each person have if 21 people
come to the party.

Answers

Answer:

9 slices

Step-by-step explanation:

Set up a proportion:

[tex]\frac{14}{6}[/tex] = [tex]\frac{21}{x}[/tex]

Cross multiply and solve for x, the amount of slices if 21 people come:

14x = 126

x = 9

So, each person can have 9 slices

POSSIBLE POINTS 10
Il Candice can paint a room in 6 hours by herself and Grace can paint the same room in 8 hours by herself, how long will it
take them to paint it together?

Answers

Answer: 2 hours

Step-by-step explanation:

If Candice can paint a room in 6 and Grace can paint one in 8 subtract  and 6 and get 2 hours

There are 958 students in Central High
School. There are 50 more girls than boys.
How many boys are there?

Answers

Answer:

Step-by-step explanation:

958/2=479= half of the students

479-50=429

There are 429 boys

A.
Write an expression for the perimeter?
B.
Write an expression for area
C.
Write Both as equations

Answers

Answer:

A. x+2+x+2

B. 2(x)

C. x+2+x+2=p

2(x)= a

Point Q lies on AB. What definition, property, or postulate justifies the statement AQ + QB = AB?

Answers

Answer:

Segment Addition Postulate.

Step-by-step explanation:

The segment addition postulate justifies the statement:

[tex]AQ+QB=AB[/tex]

To help this make sense, you are namely adding segments on a line in order to achieve a complete line segment.

A basketball player shoots free throws and makes them with probability 1/7. What is the probability of the event the player will miss three in a​ row?

Answers

Answer:

216/343 or 0.6297 (4dp)

Step-by-step explanation:

Anytime the probability of an event occurs more than once in a particular order (one time after another in the same instance), then the probability is multiplied together. If the probability of him making the shot is 1/7, then the probability of him missing it is 6/7. This is because this is the only other possible outcomes and all outcome probabilities must add to 1 (1-1/7 - 6/7).

So, if he misses it three times in a row then the probability is:

6/7 (probability miss this first time) x 6/7 (probability miss second time) x 6/7 (probability miss 3rd time).

6/7 x 6/7 x 6/7 = 216/343

or 0.6297 (4dp)

Hope this helped!

Josh and Karen live 20 miles apart and at exactly 2 pm, both decide to ride their bikes towards each other's houses so that they can meet on the path somewhere in between. Josh rides at an average speed of 15 miles per hour and Karen rides at an average speed of 10 miles per hour. If Josh takes a 10 minute break after he starts to look at some birds while Karen rides the whole time, how many miles from Karen's house will they meet?

Answers

Answer:

They will meet at a distance 9 miles from Karen's house.

Step-by-step explanation:

Let the distance covered by Josh be [tex]S_{1}[/tex] and the distance covered by Karen be [tex]S_{2}[/tex]

The distance between Josh and Karen's houses is 20 miles. That is, the total distance both of them will cover is 20 miles.

Hence, [tex]S_{1} + S_{2} = 20 miles[/tex]

From the question, if Josh takes a 10 minute break after he starts while Karen rides the whole time, this means

If Karen rides for a total of [tex]t[/tex] mins, then Josh would spend [tex]t-10[/tex] mins for the journey

Also, Josh rides at an average speed of 15 miles per hour

and Karen rides at an average speed of 10 miles per hour

Now, for Josh

Distance = [tex]S_{1}[/tex]

Speed = 15 mile/hour (Covert to mile/minute); (NOTE: 1 hour = 60 mins)

Speed= 0.25 mile/min

Time spent = [tex]t - 10[/tex] mins

From

[tex]Speed =\frac{Distance}{Time}[/tex]

Distance = Speed × Time

Distance = 0.25 mile/min × (t-10) min

[tex]S_{1}[/tex] = 0.25(t-10) mile

[tex]S_{1}[/tex] = 0.25t - 2.5

t = ([tex]S_{1}[/tex] + 2.5) / 0.25 ....... (1)

For Karen,

Distance = [tex]S_{2}[/tex]

Speed = 10 mile/hour (Covert to mile/minute);

Speed= [tex]\frac{1}{6}[/tex] mile/min

Time spent = t

[tex]Speed =\frac{Distance}{Time}[/tex]

Distance = Speed × Time

Then, [tex]S_{2}[/tex] = [tex]\frac{1}{6}[/tex] mile/min × t min

[tex]S_{2}[/tex] = [tex]\frac{1}{6}t[/tex] mile

t = 6[tex]S_{2}[/tex] ......... (2)

Equating equations (1) and (2), we get

([tex]S_{1}[/tex] + 2.5) / 0.25 = 6[tex]S_{2}[/tex]

Then,

([tex]S_{1}[/tex] + 2.5) = 1.5[tex]S_{2}[/tex]

Recall that

[tex]S_{1} + S_{2} = 20 miles[/tex]

Then, [tex]S_{1} = 20 - S_{2}[/tex]

∴[tex]20 - S_{2}[/tex] + 2.5 = 1.5[tex]S_{2}[/tex]

2.5[tex]S_{2}[/tex] = 22.5

[tex]S_{2}[/tex] = 22.5 / 2.5

[tex]S_{2}[/tex] = 9 miles

This means Karen covers a total distance of 9 miles

Hence, they will meet at a distance 9 miles from Karen's house.

What are the numerical measures of each angle?

Answers

Answer:

<1 and <3 equal 29 degrees

<2 ans <4 equal 151 degrees

Step-by-step explanation:

instructions in pic :)

janet has 30 classmates in her classrom 18 of those classmates are girls if there are a total of 500 students in her school how many students are girls

Answers

Answer:

11000

Step-by-step explanation:

Answer:

11000

Step-by-step explanation:

Question 1 of 5
Select the correct answer.
Function k is a transformation of the parent exponential function f. What are the domain and range of function ?
kid) = -2
Domain: {5 € R1-00 Range: {y E RI y <0}
Domain: {r €R! - Range: {y < R.y=}
Domain: {5 € R1-00 <= coo}
Range: {y e RI- Domain: {i e RI-00 < Range: {y € R. y > }
Submit

Answers

Answer:

It's all in the picture. good luck :)

Step-by-step explanation:

Domain : R

Range :   ( - ∞, 0)

(Refer the image attached for complete question)

We have the following function -

k(x) = [tex]-2^{x}[/tex]

We have to determine its domain and range.

What do you mean by domain and range of a function?

For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.

According to question, we have -

k(x) = [tex]-2^{x}[/tex]

for x = 0, the function k(0) = 1

The function k(x) has the exponential function ([tex]e^{x}[/tex]) as its parent function.

If we plot the graph of the function k(x), it will look like as shown in the figure attached.

The graph of the function k(x) =  [tex]-2^{x}[/tex] is the reflection of the graph [tex]2^{x}[/tex] along x - axis.

The Domain of the function k(x) : R

The Range of the function k(x) : ( - ∞, 0)

To solve more questions on Domain and Range , visit the link below -

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4. In a right triangle, the hypotenuse is 3 times the length of the shorter leg. The longer leg is 5cm. Find the length of the hypotenuse.​

Answers

Answer:

sguubztg mp and former president elect of couple of couple have started to download the books and Brave new home in school and Brave people to subscribe our own home

M little sister needs help with a geometry problem

Answers

Answer:

Segment bisector = KL

IJ = 11⅓

Step-by-step explanation:

Segment KL cuts segment IJ into two equal parts. Therefore the segment bisector of IJ is said to be segment KL.

Length of IJ:

From the figure given, the bisector divided the IJ into two equal parts. 1 part is given as 5⅔, therefore, the 2 parts joined together will give us lenght of IJ.

Thus, IJ = 2*5⅔ = 2 * 17/3 = 34/3 = 11⅓

Segment bisector = KL

IJ = 11⅓

aneeta bought 3 3/4 kg of apples and 4 1/2 kg guava what is the total weight of fruits purchased by her

Answers

Answer: 33/4

Step-by-step explanation:

3 3/4 + 4 1/2 =
15/4 + 9/2 =
15/4 + 18/4=
33/4=
8 1/4 kg

The scale on a map says that 6 cm represents 15 km. What distance on the map in centimeters represents 20 kilometers?

Answers

Answer:

8 centimeters.

Step-by-step explanation:

[tex]6cm\ on\ map\ -> 15km\\[/tex]

Divide 3 both sides:

[tex]2cm\ on\ map\ -> 5km[/tex]

Multiply 4 on both sides:

[tex]8cm\ on\ map\ -> 20km[/tex]

8cm on the map represents 20km.

The distance of 20 Km on scale is 8 cm.

What is Scale Factor?

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

Scale: 6cm represents 15 Km

1 cm represents 5/2 = 2.5 Km

So, the distance of 20 Km is represented by

= 20/ 2.5

= 8 cm

Hence, the distance on scale is 8 cm.

Learn more about Scale here:

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yo whats i lowkey cant think rn 3/4 times 2 ??

Answers

6/4 or 1 and 2/4 thats a pretty easy question

Answer:

1.5 in a decimal

Step-by-step explanation:

i hope it helps

HELP I'm really stupid and I need an answer to this fast!

Answers

Answer:

160in^2

Step-by-step explanation:

Pls choose mine as brainliest.

Bowlero Lanes charges $4.50
per game of bowling for each
person. They also charge a flat
fee of $2.25 to rent bowling
shoes. If you rented shoes and
spent a total of $20.25, how
many games did you bowl?
O 2.25x + 4,50 - 20.25
O =
2.25x + 20.25 = 4.50
O 4.50x + 2.25 = 20.25
O
4.50x -2.25 = 20.25

Answers

Answer:

4.50x + 2.25=20.25

this should be it

Answer:

4.50x+2.25=20.25

Step-by-step explanation:

4.50*4=18+2.25=20.25

3. find the distance of the line segment with the given end points (1, 6) and (4, 4)

Answers

Answer:

Therefore the lenght of line segment is :√13

Step-by-step explanation:

Refer to the attachment for your answer.

Solve for x. 6x−24=x−2

Answers

6x-x=-2+24
5x=22
X=22/5
X=4.4

Answer:

22/5

Step-by-step explanation:

6x-24=x-2

6x-x=-2+24

5x=22

x=22/5

Is (4,1) (8,1) (8,2) (12,2) (12,3) (16,4) (20,3) a function, yes or no?!​

Answers

Answer:

No, it is not a function

Step-by-step explanation:

A function is where there is no two of the same domain.

The domain is the first coordinate.

Hope This Helps :)

Answer:

it not a function

Step-by-step explanation:

Since x = 12 produces y = 2 and y = 3, the relation

(4,1),(8,1),(8,2),(12,2),(12,3),(16,4),(20,3)

is not a function.

The relation is not a function.

Hope this help

32(2 + 3) + 5 what is the operation

Answers

Answer: first add everything in the (parentheses) then multiply that by 32 then add 5 = 165

Step-by-step explanation:

The perimeter of the figure is 18x +2. One side is 3x − 3. Find the length of the indicated side.

Answers

Answer:

Step-by-step explanation:

3000000000

50+30 x12 20 POINTS GUYS YESSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

960

Step-by-step explanation:

50+30= 80

80x12=960

Answer:960

Step-by-step explanation:

50+30 = 80

80x12=960

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