The regular polygon has radii and an apothem as shown. Find the measure of each numbered angle.
Answers
9514 1404 393
Answer:
∠5 = 60°
∠6 = 30°
∠7 = 120°
Step-by-step explanation:
Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)
∠5 = 60°
∠6 = 30°
∠7 = 120°
Related Questions
A gumball machine consists of a base and a glass sphere. The gumballs are stored in the glass sphere. If each
gumball has a diameter of 1.5 inches, about how many gumballs can be stored in a gumball machine whose glass
sphere measures 10 inches in diameter?
Answers
Answer:
6 gumballs can be stored in the gumball machine.
Step-by-step explanation:
Since a gumball machine consists of a base and a glass sphere, and the gumballs are stored in the glass sphere, if each gumball has a diameter of 1.5 inches, to determine how many gumballs can be stored in a gumball machine whose glass sphere measures 10 inches in diameter, the following calculation must be made:
10 / 1.5 = X
6.666666 = X
Thus, 6 gumballs can be stored in the gumball machine.
22% of _ peaches is 11 peaches
Answers
ok soo ima need help !! {re-posting this one}
question-
Select all of the ratios that are equivalent to 6:16.
2:8
3:8
12/18
30/80
18 to 48
Answers
Answer:
3:8
30/80
18 to 48
Step-by-step explanation:
3:8 (6 and 16 divided by 2)
30/80 (6 and 16 times 5)
18 to 48 (6 and 16 times 3)
Evaluate the expression for x = 2 and y = 4 . (x ^ 5 * y ^ 7) / (x ^ 3 * y ^ 5) numbers only
Answers
Answer:
Answer is 64.
Step-by-step explanation:
524288/8192 = 64
1. Which of the following is not a true statement?
Group of answer choices
Angle 1 and Angle 3 are supplementary angles.
Angle 2 and Angle 7 are congruent
Angle 5 and Angle 8 are congruent.
Angle 3 and Angle 7 are supplementary angles.
Answers
[tex]\bf{Hello!}[/tex]
Angle 3 and Angle 7 are supplementary is the wrong statement
Because, they are corresponding angles and they are equal.
Me.Bernstein will cut 8 pies into pieces that are each 1/6 of the whole After he cuts the 8 pies. how many pieces will Mr.Bernstein have
Answers
9514 1404 393
Answer:
48
Step-by-step explanation:
If each piece is 1/6 of the whole pie, then the whole pie has been divided into 6 equal pieces. The number of pieces resulting from 8 pies being cut that way is ...
(8 pies)(6 pieces/pie) = 8×6 pieces = 48 pieces
Finnhas$60inasavingsaccount.Theinterestrateis10%peryearandisnotcompounded.Howmuchinterestwillheearnin1year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answers
Answer:
I = $ 6.00
Step-by-step explanation:
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 10%/100 = 0.1 per year,
then, solving our equation
I = 60 × 0.1 × 1 = 6
I = $ 6.00
The simple interest accumulated
on a principal of $ 60.00
at a rate of 10% per year
for 1 years is $ 6.00.
Hi, I need the are to this question, I just need to show my work btw
Answers
Please help I kind of understand but not fully
Answers
Answer:
Graph #1 - y=-20x+40
Graph #2 - y=5x+10
Step-by-step explanation: The first thing that you do is pull two points from each of the graphs and find the slope. To find the slope you use
M = y2-y1/x2-x1FROM GRAPH #1:
(3,40) (2,80)(x1,y1) (x2,y2)
80-40/2-3
20/-1
M = -20
FROM GRAPH #2:
(1,10) (3,20)(x1,y1) (x2,y2)
20-10/3-1
10/2
M = 5
2. Now once you find the slope you will use the equation of a line formula to form an equation.
y=mx+bThe (mx) is your slope, the (b) is the y-intercept. (any value on the y-axis)
3. Since we now know the equation of a line and the slope we will substitute the variables.
Graph #1:
y=mx+b
y=-20x+40
Graph #2:
y=mx+b
y=5x+10
HOPE THIS HELPS :)a triathlon event in which participants run,bike, and swim certain distances is mapped out in a triangle as shown below.
Answers
Answer:
A
Step-by-step explanation:
The statement 'the bike distance is greater than the run distance.' must be true.
The correct answer is option D.
What is distance?"It is the length of the line joining the two points."
Angle properties:In any triangle,
the smallest side and smallest angle are opposite one another. the mid-sized side and mid-sized angle are opposite one another.the largest side and largest angle are opposite one another.For given example,
We have given two angles of triangle.
65° and 57°
We know, the sum of all angles of triangle is 180°.
Let 'x' be the remaining angle.
⇒ x + 65° + 57 = 180°
⇒ x +122° = 180°
⇒ x = 58°
We know,
In any triangle,
- the smallest side and smallest angle are opposite one another.
- the mid-sized side and mid-sized angle are opposite one another.
- the largest side and largest angle are opposite one another.
Here,
57° < 58° < 65°
⇒ Run < Bike < Swim
This means, the statement 'the bike distance is greater than the run distance.' is correct.
The correct answer is option D.
Learn more about angle here:
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WHAT IS 3/20 IN DECIMAL AND PERCENTAGE
Answers
If 2^2x = 2^3, what is the value of x?
Answers
Answer:
x = 2
Step-by-step explanation:
Three percent of the students at Midwood High School are left-handed. There are 700 students at Midwood High School. How many students at Midwood High School are left-handed?
A.21 students
B.210 students
C.140 students
D.12 students
Answers
Answer:
21 students because 3% = 0.03 . When you multiply 0.03 by 700, you get 21.
Answer:
[tex] \frac{3}{100} \times 700[/tex][tex]3 \times 7[/tex][tex]21[/tex]there are total 21 left handed students in the school.
Need the answer for x and y
Answers
Answer:
How many molecules of water are there in 10 lbs of water?
Step-by-step explanation:
Answer:
x = 15
AC = 95
Step-by-step explanation:
6x + 5 = 8x - 25
combine like terms:
2x = 30
x = 15
AC = 95
Find the value of x
Answers
B
as a traingle is 180 degrees
2x=180-72
2x=108
x=108/2
x=54 degrees
Helpppppp plssssssss
Answers
Answer:
y^6
Step-by-step explanation:
Nicole received the following scores on her last 10 math assignments.
Answers
Answer: 89
Step-by-step explanation:
right on edge
what is the slope of 4x-3y=18
Answers
Answer:
Look below
Step-by-step explanation:
[tex]4x-3y=18\\-3y=18-4x\\y=4/3x-6[/tex]
Answer:
Slope: 4/3
y-intercept: -6
Solve the following equation: *
Answers
Answer:
Step-by-step explanation:
x/3 + 6 = 17
Bringing like terms on one side
x/3 = 17 - 6
x/3 = 11
Dividing by 3 on both sides
x = 11/3
Amy needs to estimate how many students at her school like online testing. She needs to create a random sample of students. How should Amy collect her sample? Select two that apply.
O Amy should ask every 10th person leaving the school at the end of the day.
O Amy should ask 3 people at every table in the cafeteria
O Amy should ask her 10 closest friends.
O Amy should ask the 35 students in her honors math class
O Amy should ask the 50 students in the computer club.
Answers
The answer should be the second one and 4th
Simplify: (3^5)^2 / 3^-2
A) 3^10
B) 3^9
C) 3^12
D) 3^8
Answers
Answer:
3^12
Step-by-step explanation:
(3^5)^2 / 3 − ^2 = 243^2/3−^2 = 59049 / 3−^2 = 59049/ 1 / 9 = 531441
= 3*3*3*3*3*3*3*3*3*3*3*3 = 3^12
X^3 - 5x^2 + 2x + 8 = 0; x - 2 factor and find all roots
Answers
Answer:
The zeroes are -1, 2, and 4. Factored: (x+1)(x-4)(x-2)=0
Step-by-step explanation:
plz, help. I need it...
Answers
Answer: (6, 3)
Step-by-step explanation:
The population of a country has been increasing for several decades. In 1990, the population was about 263 million people In 2014, the population was about 307 million people Determine the percent in + The country's population increased by about % during this time period
Answers
Answer:
The country's population increased by about 16.73% during this time period.
Step-by-step explanation:
Percent increase:
The percent increase is given by the change multiplied by 100 and divided by the initial value.
In 1990, the population was about 263 million people In 2014, the population was about 307 million people.
Change: 307 - 263 = 44
Initial population: 263
Percentage increase:
44*100/263 = 16.73%
The country's population increased by about 16.73% during this time period.
https://studio.code.org/projects/flappy/cYGc2S_X9-cgWtBUmJ5BJta5xku7iqyon0wzrKhC-Do
Answers
Answer:
so fun and amazing!
Step-by-step explanation:
One third is equivalent to what number over 12?
Answers
Answer:
4/12
Step-by-step explanation:
1/3=x/12
using the butterfly method you see that
12=3x
and when solved you get
x=4
giving you
4/12
Also multiply 1/3 by 4 on each side
One third is equivalent to 4 over 12.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Let the unknown number be x.
Here, 1/3 = x/12
Multiply both the numerator and denominator of 1/3 by 4, we get
4/12
So, 4/12 = x/12
x=12
Therefore, the unknown number is 12.
To learn more about the fraction visit:
brainly.com/question/1301963.
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What is the unit rate for the following rate: 5 pounds of potatoes costs $10
Answers
Answer:
$2 per round of potatoes
Step-by-step explanation:
$10/5 pounds of potatoes= $2
"A driving instructor is investigating whether the time a driver spends in a driverâs education course improves their score on the driverâs test. The instructor randomly selected 10 drivers from a driverâs education course and recorded the number of hours each driver attended the driverâs education course and their corresponding score on the driverâs test. Assuming all conditions for inference are met, which of the following significance tests should be used for the investigation?"
a. A chi-square test of independence
b. A two-sample t-test for a difference between means
c. A two-sample z-test for a difference between proportions
d. A linear regression t-test for slope
e. A matched pairs t-test for a mean difference
Answers
Answer:
e. A matched pairs t-test for a mean difference
Step-by-step explanation:
When the observations from two samples are paired either naturally or by design we find the differences between the two observations of each pair.Treating the differences as a random sample from a normal population with mean ud= u1-u2 and unknwn standard deviation σd we perform one sample t- test on them. This is called the paired difference t- test or a paired t- test.
Suppose 10 young recruits are given a physical training by the Army . Their weights are recorded before and after the training. These observations constitutes natural pairing .
When we eliminate the undesireable sources of variation to take observations in pairs , this is called pairing by design.
log 3x^2y fully expanded
Answers
Answer:
6xy
Step-by-step explanation:
Find the opposite of: - 4x2 - 6x + 3