[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n= 24\\ \theta = 5g \end{cases}\implies (24)(5g)=180(24~~ - ~~2) \\\\\\ 120g=180(22)\implies g=\cfrac{180(22)}{120}\implies {\Large \begin{array}{llll} g=33 \end{array}}[/tex]
The sum of all interior angles inside an "n" number of sides polygon is 180(n - 2) thus the measure of g will be 33 so option (A) is correct.
What is an angle?The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
The sum of all interior angles inside an "n" number of sides polygon is 180(n - 2).
Given that a polygon with a number of sides is 24.
And the measure of one angle is 5g.
Sum of all angles = 24(5g).
24(5g) = 180(n - 2)
120g = 180(24 - 2)
g = (18/12)(22)
g = 33
Hence "The sum of all interior angles inside an "n" number of sides polygon is 180(n - 2) thus the measure of g will be 33".
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What is -4/7 divided by 5?
Answer:
-4/35
Step-by-step explanation:
Y'all I think my maths teacher is trippin
Step-by-step explanation:
Both the answers are correct but maybe your teacher is expecting a certain kind of solution to this.
Answer:
both the answers are correct
Step-by-step explanation:
But in the LCM question u shouldve maybe used prime numbers to factorise instead of composite numbers like 6.
thats it
Which angle is supplementary to ∠MPN?
five angles all with common vertex of P, with angle NPI measuring 55.6 degrees, angle IPK measuring 44.2 degrees, angle KPL measuring 80.2 degrees, angle LPM measuring 55.6 degrees, and angle MPN measuring 124.4 degrees
∠NPL
∠LPM
∠IPK
∠KPL
The ∠LPM is supplementary to ∠MPN.
What is supplementary angles?If two angles in geometry sum up to 180 degrees, they are considered to be supplementary angles. For instance, A and B are referred to as supplementary angles if ∠A + ∠B = 180°. When combined, supplementary angles always make a straight angle (180 degrees).
Given:
Five angles all with common vertex of P, with angle NPI measuring 55.6 degrees, angle IPK measuring 44.2 degrees, angle KPL measuring 80.2 degrees, angle LPM measuring 55.6 degrees, and angle MPN measuring 124.4 degrees
We have to find the angle which is supplementary to the ∠MPN.
Let, x be the angle supplementary to the ∠MPN.
So,
x + ∠MPN = 180
x = 124.4 = 180
x = 180 - 124.4
x = 55.6
Therefore, ∠LPM is supplementary to ∠MPN.
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Answer:
<LPM
Step-by-step explanation:
BYE!!!
It took Matt twice the time to drive from home to work as it took him to drive back home from work by the same route.
Answer: D) 15
Step-by-step explanation:
Answer: D) 15
Step-by-step explanation:
I got it right:)
Declan is making a batch of cookies that contains eight cups of ingredients. Two cups of ingredients are sugar. What percent of the cookie ingredients are sugar?
If you can please add an explanation as well.
Answer:25%
Step-by-step explanation:
PLEASE HELP! WILL GIVE BRAINLIEST!
Explain what the slope and intercept mean in each situation.
Write three expressions that are equivalent to 70/-5.
Hong will run at most 23 miles this week. So far, he has run 15 miles. What are the possible numbers of additional miles he will run? Use t for the number of additional miles he will run.
Which weather condition is most likely to occur in areas receiving little solar energy?
A.
evaporation
B.
fog
C.
snow
D.
rain
Answer: SNOW
Step-by-step explanation:
Snow
Use digits and symbols to write ''The product of three and five is greater than the sum of three and five
Answer:
3*5>3+5
Step-by-step explanation:
product of three and five
3*5=15
sum of three and five
3+5=8
So,
3*5 > 3+5
Consider the following expression.
Answer:
6 and 1 are like terms
9 is a coefficient
Step-by-step explanation:
Can someone please rewrite this expression as a fraction and decimal? 10 to the power of -6
Answer:
What is 10 to the power of 6 as a decimal?
Explanation: 10^-6 can be written as 1/10^6 which is 1/1000000.
Step-by-step explanation:
10-6 means we take 6 the power of 10
, then take the reciprocal of it. 6 the power of 10 is 1000000 , and reciprocal of it is 11000000
If we write it as a decimal number, the answer would be 0,000001
Your fresh salsa recipe has been selected as a finalist at the county fair. All finalists will automatically participate in two rounds of competition that occur on the same day. For the first round, you need to make enough salsa for 6 servings for the judges who are professional chefs. In the second round, you will be presenting to a larger panel from the general public and need to have 40 servings. Your recipe makes 4 servings.Salsa Recipe•4 c chopped tomatoes•3 c chopped sweet onions•2 c chopped green peppers•1··2 c chopped hot peppers•1 tbsp fresh garlic•11··2 tbsp lime juice•1··4 c chopped cilantro•1 tsp saltA recipe always has a proportional relationship between the number of servings and each ingredient of the recipe. Find the amount of each ingredient you will need to make all of the servings needed for the competition. Show your work on the Recording Sheet.
Answer:
Step-by-step explanation:
46 SERVINGS
46/4=11.5
ROUND IT UP TO 12
multiply akll your ingredients by 12
48 chopped tomatos
36 chopped sweet onions
24 chopped green peppers and soo onthat will be your answer
In linear equation , 48 chopped tomatos , 36 chopped sweet onions
24 chopped green the amount of each ingredient you will need to make all of the servings needed for the competition.
What is a linear equation example?
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, calculating both intercepts is rather simple (x and y).46 Servings
46/4=11.5
Round up to 12
multiply akll your ingredients by 12
48 chopped tomatos
36 chopped sweet onions
24 chopped green peppers and soo onthat will be your answer
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WILL GIVE BRAINLIEST!! Which statement about the answer to this problem is most accurate 5/12 - 2/5 + 1/60 A: The answer 1/60 is reasonable because both fractions are closer to 1 then they are to 1/2, making the difference close to 0. B: The answer 1/60 is reasonable because both fractions are closer to 1/2 then they are to 0, making the difference close to 0. C: The answer 1/60 is not reasonable because 5/12 is closer to 1 then to 1/2, making the difference close to 1/2 D: The answer 1/60 is not reasonable because 5/12 is closer to 1/2 then to 1, and 1/5 is closer to 0 then 1/2, making the difference close to 1/2.
Answer:
B.
Step-by-step explanation:
1/60, is reasonable, and both fractions are closer to 1/2, than 1.
I am sorry by accident
Answer:
what?????????????????
Find the slope from the table of values given below.
Question 3 options:
1/3
-1/3
3
-3
Answer:
The slope is -3
A recent conference had 650 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?
There were about 167 principals in attendance.
There were about 316 principals in attendance.
There were about 483 principals in attendance.
There were about 1,878 principals in attendance.
There were about 483 principals in attendance.
The correct option is (3).
What is Arithmetic?The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations.
As per the given data:
The total number of people in the recent conference = 650
The total number of people in one exhibit room = 70
Number of teachers in one exhibit room = 18
Number of principals in one exhibit room = 52
To find out the total number of exhibit rooms:
= Total number of people in the conference / total people in one room
= 650 / 70
= 9.28 = 9 {rounding off to the nearest integer}
Number of principals in one exhibit room = 52
Total number of principals in the conference:
= Number of rooms × Principals in one room
= 9 × 52 = 468 which is equal to 483 {approximate answer}
There were about 483 principals in attendance.
Hence, There were about 483 principals in attendance.
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What number is 4/5 more than 0.45?
what is 1,485 with a markup of 40%
Answer:
Step-by-step explanation:
0.25
Nathalia's credit in her student loan shows -$12,450.98 while Nicoll's credit shows -$12,956.05.
Which statement correctly compares the two amounts?
Nathalia's credit in her student loan shows -$12,450.98 while Nicoll's credit shows -$12,956.05.
Which statement correctly compares the two amounts?
A. -12,450.98 = -12,956.05
B.-12,450.98 < -12,956.05
C. |-12,450.98| > |-12,956.05|
D. |-12,450.98| < |-12,956.05|
Answer:
D. |-12,450.98| < |-12,956.05|
Step-by-step explanation:
|-12,450.98| < |-12,956.05| because 12,450.98 < 12,956.05
You are running a fuel economy study. One of the cars you find is blue. It can travel 31 1/2 miles on 1 1/4 gallons of gasoline. Another car is red. It can travel 21 3/5 miles on 4/5 gallons of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
ok nevermind I found the answer
The unit rate for the blue car is 25 1/5
The unit rate for the red car is 27
The red car could travel a greater distance on 1 gallon of gasoline
Answer:
Step-by-step explanation: the unit rate for the red car is 27 meanwhile the unit rate for the blue car is 25.5 so you tell witch one goes the greater distance on 1 gallon of gasoline
Answer:
the unit rate for the red car is 27 meanwhile the unit rate for the blue car is 25.5 so you tell witch one goes the greater distance on 1 gallon of gasoline
Step-by-step explanation:
Diego measured the diameter and circumference of several circular objects and recorded his measurements in the table.
One of his measurements is inaccurate. Which measurement is it? Explain how you know.
The measurement for the ____ is very inaccurate. It should be about ___ times the diameter (or a little more).
Answer:If the diameter of a circular object is 'd' units, circumference of the object will be represented by,
Circumference =
Now we will evaluate the circumferences of the different objects by the given measures of the diameters.
For Half dollar coins,
Step-by-step explanation:
cm
For a flying disc,
cm
For a jar lid,
cm
For a flowerpot,
cm
If 4r + 3trs - 3u + 2 = 12s + r -1, then t =
Answer:
Step-by-step explanation:
c . just copy my work. i don't know the answer as well.
Samaj is making cupcakes for the school fair. One box of cake mix will make 20 cupcakes. Two boxes of cake mix will make 40 cupcakes. The constant of proportionality is k = 20. Which statement explains the meaning of the constant aof proportionality?
A) There are 20 cupcakes in one box of cake mix.
B) There is one cupcake in 20 boxes of cake mix.
C) There are 40 cupcakes in one box of cake mix.
D) Samaj does not have enough cake mixes to make the cupcakes needed.
Answer: A) There are 20 cupcakes in one box of cake mix.
Step-by-step explanation: The answer is A because the variable k is how many boxes of cake mix you use. So it is saying that for every box of cake mix you use you will get 20 cupcakes.
PLEASE HELP AND ANSWER ALL QUESTIONS IF YOU CAN PLS AND TY.
Answer:
(-1,2.5) is on the line.
(11,10) is on the line.
(70,40 is not on the line.
(-2, 1.875) is on the line.
Step-by-step explanation:
First, find the equation of the line. Two write an equation in the slope -intercept form of the line we need a slope and the y-intercept. We can find this from the 2 points given (-5,0) and (3,5). The ordered pair is written in the from (x,y) The first number is how much we move right or left from the origin (0.0) and the second number tells us how much we move up or down from the origin (0,0).
To find the slope, we find the change in y over the change in x.
[tex]\frac{(5-0)}{3 - -5)}[/tex] = [tex]\frac{5}{3+ 5}[/tex] = [tex]\frac{5}{8}[/tex] Now we can use either of the points to find the y-intercept. Let's use (3,5)
slope = [tex]\frac{5}{8}[/tex]
x = 3
y =5
y=mx + b plug in what we know
5 = [tex]\frac{5}{8}[/tex](3) + b This is the same as writing
5 = [tex]\frac{5}{8}[/tex][tex](\frac{3}{1})[/tex] 3 and [tex]\frac{3}{1}[/tex] mean the same thing
5 = [tex]\frac{15}{8}[/tex] + b Now subtract [tex]\frac{15}{8}[/tex] from both sides of the equation
[tex]\frac{5}{1}[/tex] - [tex]\frac{15}{8}[/tex] = [tex]\frac{15}{8}[/tex] - [tex]\frac{15}{8}[/tex] + b
[tex]\frac{40}{8}[/tex] - [tex]\frac{15}{8}[/tex] = b
[tex]\frac{25}{8}[/tex] = b Now we can write the equation
y = mx + b
y = [tex]\frac{5}{8}[/tex] x + [tex]\frac{25}{8}[/tex]
N ow that we have the equation, we can plug in the (x,y) and see if the equation is true or not. If the equation is true, the point is on the line.
(-1,2.5)
y = [tex]\frac{5}{8}[/tex] x + [tex]\frac{25}{8}[/tex]
2.5 = [tex]\frac{5}{8}[/tex](-1) + [tex]\frac{25}{8}[/tex]
2.5 = [tex]\frac{-5}{8}[/tex] + [tex]\frac{25}{8}[/tex]
2.5 = [tex]\frac{20}{8}[/tex]
2.5 = 2.5
Yes, point (-1, 2.5) is on the line.
(11,10)
y = mx + b
10 = [tex]\frac{5}{8}[/tex](11) + [tex]\frac{25}{8}[/tex]
10 = [tex]\frac{55}{8}[/tex] + [tex]\frac{25}{8}[/tex]
10 = [tex]\frac{80}{8}[/tex]
10 = 10
Yes, point (11,10) is on the line.
(70,40)
y = mx + b
40 = [tex]\frac{5}{8}[/tex](70) + [tex]\frac{25}{8}[/tex]
40 = [tex]\frac{350}{8}[/tex] + [tex]\frac{25}{8}[/tex]
40 = [tex]\frac{375}{8}[/tex]
40 ≠ 46.875
Point (70,40) is not one the line.
(-2, 1.875)
y = mx + b
1.875 = (-2)[tex]\frac{5}{8}[/tex] + [tex]\frac{25}{8}[/tex]
1.875 = [tex]\frac{-10}{8}[/tex] + [tex]\frac{25}{8}[/tex]
1.875 = [tex]\frac{15}{8}[/tex]
1.875 = 1.875
Point (-2, 1.875) is on the line.
How much 6.5% tax would be paid on a $175 bike?
SOMEONE HELP ME PLEZ :_)
Answer:
34.556
No hundreds, 3 tens, 4 ones, 5 tenths, 5 hundredths, and 6 thousandths.
Step-by-step explanation:
(3x10) + (4x1) + (5x1/10) + (5x1/100) + (6x1/1000)
30 + 4 + 5/10 + 5/100 + 6/1000
34.556
No hundreds, 3 tens, 4 ones, 5 tenths, 5 hundredths, and 6 thousandths.
The perimeter of a rectangular swimming pool is 154m. Its length is 2m more than twice its breadth. What is the length and breadth of the pool?
Estimate 6.278 − 4.278 by rounding to the nearest whole number.
A: 2
B: 1
C: 6
D:8
Elena rode her bike 20 1/2 miles in 2 1/4 hours. What was her speed in miles per hour?
Answer: 9 1/9
Step-by-step explanation: