Answers
Answer:
EK = 1.
Step-by-step explanation:
Here we have KP = PE (tangents from outside the circle)
Therefore, 2KP = PE + 1 = KP + 1
Hence, 2KP - KP = 1 or KP = 1 = PE
Since KE is the base of triangle KPE, where ∡ KPE = 60, and KP = PE, we have an isosceles triangle such that ∡PKE = ∡PEK
Hence, in ΔKPE, ∡KPE + ∡PKE + ∡PEK = 180
Therefore, 60° + ∡PKE + ∡PEK = 180
Hence, ∡PKE + ∡PEK = 180° - 60° = 120°
Because ∡PKE = ∡PEK, (base angles of isosceles triangle), we have;
∡PKE + ∡PEK = 2·∡PEK = 120° which gives
∡PEK = 60° = ∡PKE
Therefore, ∡KPE = ∡PEK = ∡PKE = 60°
Hence, ΔKPE is an equilateral triangle and KP = PE = EK = 1
EK = 1.
Related Questions
Choose the right answer.
Which year had a decrease in profit between months 3 and 4?
Last year
This year
Answers
Step-by-step explanation: last year
Answer:
Last Year
Step-by-step explanation:
If you take a look at the red and blue lines in between the numbers 3 and 4 at the bottom of the graph, you can see that the profit for the red line (last year) is decreasing while the profit for the blue line (this year) is increasing. Last year (red line) had a decrease in profit between months 3 and 4.
What is the radius of J. A. 24.8
B. 6.2
C. 10.8
D. 12.4
Answers
Answer:
12.4 units
Step-by-step explanation:
The diameter of circle J is represented by KN. Half of KN is KJ and JN which means these represent the radius. Since JN equals 12.4 and JN is the the radius, then the radius of circle J is 12.4 units which is answer choice D.
The radius of the given circle is 6.2 unit. So option B is correct.
What is the radius?A line segment from a circle's or sphere's center to its perimeter or boundary is known as the radius in geometry. It is a crucial component of spheres and circles and is frequently abbreviated as "r". When discussing multiple radiuses at once, the plural form of radius is "radii". The diameter of a circle or sphere is the longest line segment connecting all points on the opposite side of the centre, and the radius is equal to half of the diameter in length. It can be written as d/2, where d is the circle's or sphere's diameter. Look at the illustration of a circle below that depicts the connection between radius and diameter.
Given that,
A circle,
which contains diameter KN of length 12.4 unit
and chord 10.8 unit.
The radius = ?
It is known that, the length of the radius is half of the diameter of the circle,
R = D/2
= 12.4/2
= 6.2
Therefore, the length of the radius is 6.2 unit.
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Mimi earns a 15% commission on any sales she earns.
Based on the information, which equation below represents total commission, c, for any given sale, S.
A c = s(1.5)
B. c = s(0.15)
.
Cc=s-s(0.15)
D. c= 150
Answers
Answer:
Its B
Step-by-step explanation:
(x+4)−(x−1)
HELPPPP
5edrfytguyhidiftougyih;fygvjbmncifyykgvjb mnr6o7ftuglh.bjnhugiyfltudkrysi6d7tfugiy;h/junk;lk
Answers
Answer:
There is no plug-in for x.
X=0.
(0+4) - (0-1) = [(4 - (-1)] = 5.
Answer:
5
Step-by-step explanation:
(x+4) -x +1
x - x = 0
5
What is the output or waste of the cellular respiration cycle?
Answers
Answer: The outputs, or products, of cellular respiration are water and carbon dioxide
Explanation: The inputs, or reactants, of cellular respiration are glucose and oxygen. The outputs, or products, of cellular respiration are water, carbon dioxide
I really need help with this
Answers
Answer:
Step-by-step explanation:
In the first case the function could become undefined as x approaches -3 or 3 from either direction. The vertical asymptotes are x = -3 and x = +3.
In the second case, there's only one vertical asymptote, because the denominator can be zero (0) only at x = 0.
which one isn’t a function ?
Answers
Answer:
D isn't a function because points intersect vertically on the graph
Step-by-step explanation:
PLZ HELP I’M TIMED!! I’LL GIVE BRAINLIEST- FIND THE VALUE OF Y
Answers
Answer:
131
Step-by-step explanation:
25+24=49
180-49=131
what is the excluded value of this?
Answers
30 POINTS PLEASE ANSWER CORRECTLY AND CLEARLY THANK YOU!
Which expression represents the growth of an investment of $1,500 at 12% per year for a period of t years?
A. 1500(12)t
B. 1500(0.12)t
C. 1500t1.12
D. 1500(1.12)t
Answers
Answer:
B
Step-by-step explanation:
The investment grows by 12 percent every year. Therefore, if you multiply the 1500 by 0.12 you should get the value of the amount of extra money made in one year. If you substitute 2 into t you get the value increased by year 2 and so on.
Answer:
the correct answer is b
Step-by-step explanation:
just got it right on egduniuty
HELP ME PLEASE!!
I don't understand the question...
If possible, please explain!
Answers
Answer:
SSS
Step-by-step explanation:
We know 2 of the sides are equal
The thirds side is the same length by the reflexive property since it is the same side
The triangles are congruent by SSS or the side side side postulate
Can somebody please help me :(
Answers
Steps:
Boys: 30+40+50+60+60+70+70+70+80+80+80+90+90+100 = 970
Girls: 10+20+50+50+60+70+70+80+80+80+90+100 = 760
THEN Divide the sum of boys and girls but how many numbers you added
970 ÷ 14 = 69.2
910 ÷ 12 = 63.3
answer with work pls!!
Answers
What is the probability of rolling an even an a die and drawing a face card from a standard deck of cards
Answers
Answer:
3/26
Step-by-step explanation:
Assuming this is a six-sided die, the probability of rolling an even number is 3/6 or 1/2. Then the probability of drawing a face card is 12/52 or 3/13. To find the probability of both you need to multiply them by one another an you get 3/26 or 11.5 percent.
A polygon is shown:
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input whole numbers only, such as 8.) (5 points)
Answers
Answer: 4
We're talking about the right part.
OP = RQ - NM = 7 - 3 = 4
PQ = MR - NO = 3 - 2 = 1
Area(OPQ?) = 4×1 = 4
Answer: 4
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is 4 square units.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
A polygon is given in the question, as shown
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units.
We have to determine the fill-in-the-blank.
As per the given figure, we can see that
OP = RQ - NM = 7 - 3 = 4
PQ = MR - NO = 3 - 2 = 1
Required area of rectangle = 4 × 1 = 4
Hence, the required fill-in blank will be "4".
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What is the solution to the equation?
2/3a - 1/6 = 1/3
Answers
Answer:
a in this equation would be 3/4 because...
Step-by-step explanation:
2/3a−1/6=1/3
2/3a+−1/6=1/3
2/3a+−1/6+1/6=1/3+1/6
2/3a=1/2
Multiply both sides by 3/2.
(3/2)*(2/3a)=(3/2)*(1/2)
a=3/4
Hope this helps!
what is the answer for the picture.
Answers
Answer:
4
Step-by-step explanation:
40-36=4
Answer:
She won by 4 seconds.
Step-by-step explanation:
If Bailey ran the race in approximately 36 seconds and Elena ran it in approximately 40 seconds, Bailey would've completed the race 4 seconds faster than Elena.
The triangles are congruent by the SSS congruence
theorem.
Which transformation(s) can map ALMN onto
AL'M'N'?
M
translation only
O reflection only
L'
O rotation then translation
M
O reflection then translation
N'
N
Answers
Answer: rotation then translation
Step-by-step explanation:
The transformation(s) can map triangle LMN onto triangle L'M'N' are (c) rotation then translation
The SSS congruence theorem means that the triangles LMN and L'M'N' are congruent by sides and the angles are also congruent.
So, the triangles can be transformed by
TranslationReflectionRotationFrom the complete question, the triangles and rotated and translated
Hence, the transformation(s) can map triangle LMN onto triangle L'M'N' are (c) rotation then translation
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Which is the angle measure represented by 2 rotations counterclockwise?
a. -1080°
C. 1080°
b. -720°
d. 720°
Answers
Explanation is counterclockwise means going bakwards so that might be right
1. What side in the second trapezoid corresponds to CD?
choices:
RU
ST
TU
RS
2. What angle in the second trapezoid corresponds to B?
choices:
T
S
U
R
Answers
Answer:
1...ut
2..s
Step-by-step explanation:
you can see that the trapezium ABCD is talented than you are St trapezium so then from the ABCD trapezium Appa what then you can see a De is parallel to you are and ab is parallel to AC and DC is parallel parallel to T s and a De is parallel to ur
Answer:
1. UT
2. S
Step-by-step explanation:
1. parallel sides of the first trapezoid are DC and AB, the last being the longest
so the answer is
UT, which is shorter base
2. B is the right angle
so S is the one on the second trapezoid
Ellie’s eats 1/4 cups of raisins everyday. If she buys a package that has 6 cups of raisins,how many days of raisins is that ?
Answers
Answer:
24
Step-by-step explanation:
Answer:
24 days
Step-by-step explanation:
Alright, so you can set an equation where x is the amount of days this package of raisins can last. Your equation would be 6=1/4x. Now, you solve. Bring the 1/4 over by dividing both sides by it. You get x=24, which is the answer.
What percent is modeled by the grid?
A grid model with 100 squares. 33 squares are shaded.
23%
30%
33%
40%
Answers
Answer:
33%
Step-by-step explanation:
There are 33 squares out of 100 that are shaded
33/100
Percent means out of 100
33%
Answer: 33%
Explanation: A ratio that compares a number to 100 can be written as a percent. So in this problem, since the figure has 33 out of 100 boxes shaded, we have the ratio 33/100 which can be written as 33%.
Miche found that most helicopters fly at speeds of less than 270 kilometers per hour. Her work is shown below. s > 270 A number line going from 260 to 285. An open circle is at 270. Everything to the right of the circle is shaded. Which mistakes did she make? Check all that apply.
Answers
Answer:
The inequality should be s<270.The number line should be shaded to the left.Step-by-step explanation:
Miche found that most helicopters fly at speeds of less than 270 kilometers per hour.
If s=speed of the helicopters
Then: s<270Representing this on a number line:
We have an open circle at 270.Everything to the left of the circle is shaded.Since the options are not given, I would list the mistakes made by Miche.
The inequality should be s<270.The number line should be shaded to the left.Answer:
A and D
Step-by-step explanation:
I hope this helped <3 ·ω·
Aisha is playing a game in which she can gain or lose points on each turn. The table below
shows the points she scores on each of four turns in the game.
Aisha states that her highest score is on Turn 3, because 16 is greater than 3, 10, or 9. Use the
drop-down menus to explain Aisha's mistake.
Answers
Answer:
A score of -16 represents the lowest of points for these four turns.
The number for Aisha's highest score will be turn 2 on the number line.
That number is 10.
Step-by-step explanation:
Since the options of the drop down menu are not included, you should choose any option similar to lowest.
Aisha's highest score was obtained in turn 2 and that is 10.
Aisha is comparing absolute terms, that is why she believes that -16 represents a good score, while in reality is the worst she got.
A $135.00 item is marked down by 30%.
What is the new cost of the item?
Round to two decimals if needed.
Answers
Answer:
135.00 multiplied by .30% will be 40.5
Answer:
You can also calculate how much you save by simply moving the period in 30.00 percent two spaces to the left, and then multiply the result by $135 as follows: $135 x . 30 = $40.50 savings. Furthermore, you can get the final price by simply deducting .
Step-by-step explanation:
PLS HELP!!!!!! In a survey of 4530 U.S. adults, 87% said that they would like to donate more to charity. What is the margin of error for the survey? Round to the nearest tenth of a percent
Answers
Answer:
Margin of Error = 1.0% to the nearest tenth of a percent.
Step-by-step explanation:
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error)
Critical value is obtained from the z-tables at the popular confidence level of 95% and z-tables is used because the sample size, 4530, is large enough to approximate the population properties.
Critical value = 1.960
Standard error = σₓ = √[p(1-p)/n]
p = 87% = 0.87
n = sample size = 4530
σₓ = √[0.87×0.13)/4530]
= 0.0049966876
Margin of Error = 1.96 × 0.0049966876 = 0.0097935078 = 0.00979 = 0.979% = 1.0% to the nearest tenth of a percent.
Hope this Helps!!!
What is the solution to the equation below? Round your answer to two
decimal places
e^x = 5.9
Answers
Answer:.1.77
Step-by-step explanation:
e^x = 5.9
Take the natural logarithm of both sides
x = ln (59/10)
x = 1.77
Answer: x=1.77
Step-by-step explanation:
A P E X
If you answer can you write how you solved it?
Answers
Answer:
[tex]145.3in^2[/tex]
Step-by-step explanation:
[tex]A_{L} =2\pi rh=2*\pi *2.5*9.25\\=145.3in^2[/tex]
−8⋅f(0)+4⋅g(−8)=
Please help
Answers
Answer:
-32
Step-by-step explanation:
Look at the attachment
Functions can be represented as equations and graphs.
The value of [tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)}[/tex] is -32
From the graph, we have the following values.
[tex]\mathbf{f(0)= 1}[/tex]
[tex]\mathbf{g(-8)= -6}[/tex]
So, we have:
[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -8 \times 1 + 4 \times -6}[/tex]
Simplify
[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -8 -24 }[/tex]
[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -32 }[/tex]
Hence, the value of [tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)}[/tex] is -32
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A mayor wants to determine if the people in his city think that he is doing a good job. Which choice BEST represents the population? A) Voters age 21 to 35. B) All the local business owners. C) The people who voted for him. D) All the residents of the city. Eliminate
Answers
Answer:
D
Step-by-step explanation:
D is the best choice. A excludes voters age 18-20 and 36+. B excludes everyone who doesn't own a business, and C excludes those who didn't vote for him. For the most honest results, D - everyone - is the best choice.
