Answers
(9)
x ° = 1/2 (130° - 30°) = 50°
(due to a theorem about intersecting secants/tangents)
(11) The labeled angle subtends a minor arc of meaure 120°, which means the larger arc has a measure of 360° - 120° = 240°. Then
x ° = 1/2 (240° - 120°) = 60°
(due to the same theorem)
(13) The labeling here is a bit confusing. I'm not sure what the 70° is referring to. It occurs to me that it might be info from a different exercise, so that y ° is the measure of the angle made by the tangent to the circle with a vertex of the pentagon, and x ° is the measure of each arc that passes over an edge of the pentagon.
Each arc makes up 1/5 of the circle's circumferece, so
x ° = 360°/5 = 72°
The pentagon is regular, so each of its interior angles have the same measure of 108°. (Why 108°? Each exterior angle measures 360°/5 = 72°, since the exterior angles sum to 360°. Interior and exterior angles are supplementary, so the interior angles measure 180° - 72° = 108° each.)
The angles formed by the tangent to the circle are supplementary, so that
y ° + 108° + y ° = 180°
2y ° = 72°
y ° = 36°
Related Questions
What is the product of 7×-6 1/8
Answers
Answer:
-42.875 or -42 7/8
Step-by-step explanation:
you can turn -6 1/8 into a decimal: -6.125 and multiply it with 7.
The product of the fraction 7 x -(6 1/8) is -42.875 or in fraction form -42 7/8.
We have expression: 7 x -(6 1/8).
First, write the mixed fraction into improper fraction as
Numerator = 8 x 6 + 1 = 49
Denominator = 8
Now, the product will be
7 x -(6 1/8)
= 7 x (-49/8)
= 7 x (-6.125)
= -42.875
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The Williams are buying a house that costs $323,000 and can afford a 10% down payment. If the Williams want the lowest monthly payment, which loan option would you recommend? 15 year fixed, 5% down at a fixed rate of 5.5% b. 30 year FHA, 3.5% down at a fixed rate of 6.25% 30 year fixed, 20% down at a fixed rate of 5.75% d. 30 year fixed, 10% down at a fixed rate of 6%
Answers
Answer:
The awnser is D
Step-by-step explanation:
Edge 2020!
The loan option that has a 30 year period with the maximum down
payment the Williams can afford as well as a low rate is recommended.
Response:
The recommended loan option is option d. 30 year fixed, 10% down at a fixed rate of 6%.Which factors gives the loan with the lowest monthly payments?The given information are:
The amount at which the Williams are buying the house = $323,000
Percentage of down payment he can afford = 10%
Required:
The loan with the lowest monthly payment.
Solution:
The lowest fixed monthly payment is given by the loans that have the
longest period in which to pay back the loan, which includes the options;
b. 30 year FHA, 3.5% down at a fixed rate of 6.25%
c. 30 year fixed, 20% down at a fixed rate of 5.75%
d. 30 year fixed, 10% down at a fixed rate of 6%
Given that the Williams can afford a 10% down payment, option b. and
option c are the possible options.
The interest rate for option b is higher and option b has a lower down
payment than the interest rate and down payment for option c.
The lower the down payment, the higher the monthly payment.Therefore;
The option that has the overall lowest monthly payment is option d.
d. 30 year fixed, 10% down at a fixed rate of 6%.Learn more about monthly payment for a loan here:
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Sales for May were $8,475. Calculate the markdown percent for May if the buyer took the following markdowns during the month: 21 shirts from $38 to $21, 15 shorts from $25 to $17, 32 halter tops from $32 to $22, 7 pants from $60 to $40, 8 skirts from $50 to $40
Answers
Answer:
kailangan mo ba sagot luh asa ka
Step-by-step explanation:
d kailangan ng brainy Kasi lahat ng tao asa lng
Help me please!! I’ll mark as brilliant!!
Liam’s mass is 102.1 kg
Choose the best approximation of Liam’s mass
A. 1 x 10^1
B. 1 x 10^2
Earth has an estimated mass of 5,972,000,000,000,000,000,000,000 kg
Choose the best approximation of earth’s mass
A. 6 x 10^21
B. 6 x 10^24
Approximately how many times as large is earth’s mass as liam’s mass?
A. 6 x 10^20
B. 6 x 10^21
C. 6 x 10^22
Answers
The answers are :
1. Liam has approximated mass equal to 1 × 10² kg.
2. Earth has approximated mass equal to 6 × 10^24 kg
3. Earth's mass is larger than Liam's mass by 6 × [tex]10^{22}[/tex].
What is algebra ?
Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.
1)
Liam's mass is 102.1.
To represent the decimal number in approximation we need to multiply the first digit by power of 10 by moving the decimal place.
i.e., decimal number 102.1 can be written as :
= 1.02 × 10² kg
because decimal place moved towards left by 2 places.
or
= 1 × 10² kg
2)
Earth has an estimated mass of 5,972,000,000,000,000,000,000,000 kg.
This can be written as :
= 5.97 × 10^24
or
= 6 × 10^24 kg
3)
The earth's mass is larger than Liam's mass by :
= [tex]\frac{6 * 10^{24}}{1*10^{2} }[/tex]
= 6 × [tex]\frac{10^{24} }{10^{2} }[/tex]
= 6 × [tex]10^{22}[/tex]
Therefore , the answers are :
1. Liam has approximated mass equal to 1 × 10² kg.
2. Earth has approximated mass equal to 6 × 10^24 kg
3. Earth's mass is larger than Liam's mass by 6 × [tex]10^{22}[/tex].
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Which of these is an example of typing at an average rate of 42 words per minute?
typing 16 words in 32 of a minute
typing 28 words in 32 of a minute
typing 28 words in 23 of a minute
typing 16 words in 23 of a minute
Answers
Answer:
boo
Step-by-step explanation:
b-o-o boo
Answer:
typing 16 words in 2/3 of a minute
Step-by-step explanation:
very very sorry for the late response wish i could have seen this earlier
write 6.085 in word form
Answers
1.682 inches rounded to the nearest whole number is 1 inches?
Answers
It's closer to 2, so it would be rounded from 1.682 in to 2 in.
Answer:
No, its most likely 2
Step-by-step explanation:
6 is closer to 10
hope this helps :) btw if ya like rap follow my brother on yt his rap his name is Ghxstboiireaper
Steph age is 7/5 times of the total of students in this class minus 22. If steph is 13 years old , write an equation to find the total students in the class.
Answers
Step-by-step explanation:
Let us take:
Steph's age = x
No. of students in the class = y
Given that,
x = 13
also,
x = 7/5y - 22
That gives,
13 = 7/5y - 22
13 + 22 = 7/5y
35 = 7/5y
35 × 5/7 = y
5 × 5 = y
25 = y
9) Use the spinner below to answer the following questions
What is the Expected Value of a single spln?
Answers
Answer:
is that paper or did you write on the screen?
E
2) Mrs. Anderson spent $305.70 at
Target. If the sales tax is 6%, what was
her final bill?
Answers
305.70 + 18.34 = 324.04
The opera theater manager believes that 23#% of the opera tickets for tonight's show have been sold. If the manager is accurate, what is the probability that the proportion of tickets sold in a sample of 869869 tickets would differ from the population proportion by less than 3%3%
Answers
Answer:
0.9642
Step-by-step explanation:
Sample proportion p follows a Normal distribution with mean = p0 = 0.23 and Standard deviation = √P0(1 - P0) / n = √0.23(1-0.23) / 869 = 0.0143
Then Z = p - mean / Standard deviation = X - 0.23 / 0.01343
P(0.2<p<0.26) = P(p<0.26) - P(p<0.2)
= P(p-023/0.0143 < 0.26-0.23/0.0143) - P(p-0.23/0.0143 < 0.2-0.23/0.0143)
= P(Z < 2.1) - P(Z < -2.1)
= 0.9821 - 0.0179
= 0.9642
Which of the following is not a method used on graphs to lead the reader to misinterpret the graph?
a.
Use inconsistent scales on one or both axes.
b.
Reverse the x- and y-axes to obtain a more convincing graph.
c.
Comparing two sets of related data on the same graph for the sake of comparison.
d.
Begin the scale of one or both axes at a number other than zero without notifying the reader.
its C
Answers
Answer:
Answer C is right
Step-by-step explanation:
edg 2021 got it right, its c
The method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.
What is graph?A graph is a intersection of {x} and {y} axis. On the graph, the coordinate points can be plotted in the form (x, y). In this, {x} represents the horizontal distance along the {x} axis and {y} is the vertical distance along the {y} axis.
Given is to identify the methods that are not used on graphs to lead the reader to misinterpret the graph.
The method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.
Therefore, the method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.
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Determine the part of each whole
1. 28% of 70
2. 160% of 19
3. 0.9 of 54
4. 15% of 376
5. 44% of 205
6. 9% of 600
7. 1.4% of 85
8. 550% of 22
Answers
2. 30.4
3. 0.486
4. 56.4
5. 90.2
6. 54
7. 1.19
8. 212
at the amusement park there were t shirts for sale for 18.95 each james bought 4 of them about how much did he spend??
Answers
Estimate the square root of 24 to the nearest tenth
Answers
Answer:The answer is 4.9
Step-by-step explanation: Step 1: Calculate. We calculate the square root of 24 to be: √24 = 4.89897948556636.
Step 2: Reduce. 4.89.
Step 3: Round. Round 4.89 so you only have one digit after the decimal point to get the answer: 4.9.
Which is an equation of the line with a slope of 2 that passes through ( 3 , 1 )?
Answers
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]
let the solution be [tex] ax + by - c = 0 [/tex]
let the solutions be a = 3, b = 1
[tex] 3x + y = 0 [/tex] is the equation with consistent value.
Answer:
the answer is -1
Step-by-step explanation:
im just tyna get my points thats all
Jose gets his hair cut for $12. He gives his barber a
15% tip. How much does he give the barber for a tip?
(If you have big brain plz help me)
Answers
Answer: $3
Step-by-step explanation:
If you want to tip 15%, then the total tip amount would be $2.40 plus half of that again ($1.20), which is $3.60.
Jose gives the barber a $1.80 tip.
What is a percentage?A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."
Given information:
Jose gets his hair cut for $12.
He gives his barber a 15% tip.
To calculate the tip, we need to find 15% of the cost of the haircut.
15% can be written as a decimal as 0.15.
So, the tip amount is:
0.15 x $12 = $1.80
Therefore, Jose gives the barber a $1.80 tip.
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Square root of 24 using perfect squares
Answers
24 is not a perfect square.
What is a Perfect Square ?A perfect square is a number that can be written as a product of an integer and another integer itself.
To determine the square root of 24
24 = 6 * 4
6 square can be drawn of 4 small squares
[tex]\rm \sqrt {24} = \sqrt{ 4*6} \\\\=\sqrt{4} * \sqrt{6} \\\\= 2 \sqrt{6}[/tex]
Therefore 24 is not a perfect square.
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If LIAR is a parallelogram, what is the value of X?
R
A
377x+3)
(2x+3
O A. 42
O B. 20
O c. 71.5
O D. 35
O E. 82
O F. 38.
Answers
The answer is B) 20 .
37 + (7x + 3) = 180
7x = 180 - 37 - 3
7x = 140
x = 20
Therefore, x = 20.
Answer:
20
Step-by-step explanation:
Help with evaluate and graph PLEASE HURRY
Answers
Answer:
Box 1 = -1
Box 2 = 8
Box 3 = 14
1.682 inches rounded to the nearest whole number is 1 inches?
Answers
Answer:
True
Step-by-step explanation:
5 or higher round up 4 or lower round down
How do you do letter c?
Answers
Answer:
1056
Step-by-step explanation:
dP/dt = 0.0013P (1 − P/6200)
Euler's method states:
yₙ₊₁ = yₙ + Δt F(tₙ, yₙ)
Substituting:
P(t+1) = P(t) + (1) [0.0013 P(t) (1 − P(t)/6200)]
P(t+1) = P(t) + 0.0013 P(t) (1 − P(t)/6200)
We know that when t=0, P=1000.
P(1) = P(0) + 0.0013 P(0) (1 − P(0)/6200)
P(1) = 1000 + 0.0013 (1000) (1 − 1000/6200)
P(1) = 1001.1
Repeating the pattern, we get P(50) is:
P(50) = 1055.7
Rounded to the nearest whole number, P(50) = 1056.
PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.
Evaluate.
(−2)^6
Enter your answer in the box.
Answers
Answer:
-64
Step-by-step explanation:
I used a calculator lol.
(-2)^6 take out the negative sign( you can't raise the exponent of a negative number)
2^6
2x2=4, 4x2=8, 8x2=16, 16x2= 32, and 32x2=64
Hope this helps :D
Write the ratio as a fraction in simplest form. A class has 8 boys and 14 girls. What is the ratio of boys to girls?
Answers
Answer:
4/7
Step-by-step explanation
8:14
8/14
4/7
So the answer is 4/7
Find the value of X and Y. If your answer is not an integer, express it in simplest
radical form
Answers
Daniela y Jorge can en bicicleta y salen del mismo lugar, Daniela avanza 6km y luego retrocede 2km mientras que Jorge avanza 8km y retrocede 5km.
¿A que distancia se encuentra uno del otro?
¿Quien ha avanzado más de los dos?
¿Quien ha recorrido más km?
Answers
Answer:
a) 1 km
b) Amaya
c) Jorge
HOPE THIS HELPS ;P
Assume that you have an ordinary deck of 52 playing cards. How many possible 7- card pocker hands are there that contain at least one face card (Jack, Queen, or King)?
Answers
Answer:
There are 115141000 possible ways.
Step-by-step explanation:
Since it is a 7 – card pocker hands, then the total number of poker hands will be:
[tex]\binom{52}{7}[/tex]
Also, the total number of hands without figure cards is
[tex]\binom{40}{7}[/tex]
This is because there are 12 cards with figures (4 x J, Q, K).
Therefore, the number of hands with at least one figure will be:
[tex]\binom{52}{7} - \binom{40}{7}[/tex]
And this would be
133784560 – 18643560 = 115141000
There are 3 cats in a room and no other creatures.each cat has 2 ears, 4 paws, and 1 tail
Answers
So there is a total of 6 ears, 12 paws, and 3 tails in the room.
Answer:
In the room there should be 6 ears, 12 paws, and 3 tails in total.
m< AED = 16y + 10. Find the value of y so that ED I AB.
Answers
Full question attached:
Answer and explanation:
To calculate y in the equation <AED=16y+10 we first find the value of angle AED from the diagram(attached)
From the diagram, we can see that <AED = 180 degrees given that <AED is angle on a straight line=180 degrees.
The line AB is therefore perpendicular to line ED
Hence we calculate y in the equation <AED= 16y+10
180= 16y+10
180-10=16y
16y=170
y=170/16
y= 10.625
Determine the slope of the line that contains the given points
(1-7) (5-7)
Answers
Answer:
the answer is 4
Step-by-step explanation:
Rise/run
y2-y1/x2-x1
7-7/1/5
4
Answer:
0/4
Step-by-step explanation:
7/5 - 7/1
Making the answer become 4