If JG=JF,GD=13, and mCD=136, find each measure.
Answers
Answer:
[tex]ED = 26[/tex]
[tex]CF = 13[/tex]
[tex]m \overset{\huge\frown}{ED} = 136[/tex]
[tex]m \overset{\huge\frown}{HD} = 68[/tex]
[tex]m \overset{\huge\frown}{CE} =88[/tex]
Step-by-step explanation:
Given
[tex]JG = JF[/tex]
[tex]GD = 13[/tex]
[tex]m \overset{\huge\frown}{CD} = 136[/tex]
See attachment for circle
Solving (a): Length ED
Line JD divides ED into two equal parts, EG and DG.
So:
[tex]ED = EG + GD[/tex]
[tex]ED = GD + GD[/tex]
[tex]ED = 13 + 13[/tex]
[tex]ED = 26[/tex]
Solving (b): Length CF
CF is a reflection of EG.
So:
[tex]CF = EG[/tex]
[tex]EG = GD = 13[/tex]
So:
[tex]CF = 13[/tex]
Solving (c): [tex]m \overset{\huge\frown}{ED}[/tex]
Since ED = CD;
Then:
[tex]m \overset{\huge\frown}{ED} = m \overset{\huge\frown}{CD}[/tex]
So:
[tex]m \overset{\huge\frown}{ED} = 136[/tex]
Solving (d): [tex]m \overset{\huge\frown}{HD}[/tex]
Line HF divides CD to 2 equal parts
So:
[tex]m \overset{\huge\frown}{HD} = \frac{1}{2} * m \overset{\huge\frown}{CD}[/tex]
[tex]m \overset{\huge\frown}{HD} = \frac{1}{2} * 136[/tex]
[tex]m \overset{\huge\frown}{HD} = 68[/tex]
Solving (e): [tex]m \overset{\huge\frown}{CE}[/tex]
[tex]m \overset{\huge\frown}{CE}[/tex] is a minor arc while [tex]m \overset{\huge\frown}{ED} = 136[/tex] + [tex]m \overset{\huge\frown}{CD} = 136[/tex] are the major arcs.
So:
[tex]m \overset{\huge\frown}{CE} + m \overset{\huge\frown}{ED} + m \overset{\huge\frown}{CD}= 360[/tex]
[tex]m \overset{\huge\frown}{CE} + 136+136= 360[/tex]
Collect like terms
[tex]m \overset{\huge\frown}{CE} =- 136-136+ 360[/tex]
[tex]m \overset{\huge\frown}{CE} =88[/tex]
Following are the calculated value " [tex]ED=26, CF=13\ , m \widehat{ED}=136^{\circ}\ , m \widehat{HD}=68^{\circ}\ , m \widehat{CE}=88^{\circ}\\\\[/tex]", and its complete calculation can be defined as follows:
Given value:[tex]\bold{JG=JF,GD=13,} \\\\ m \widehat{CD}=136^{\circ}\\\\[/tex]
When
[tex]m \widehat{CD}= m \widehat{ED}\\\\m \widehat{ED} = 136^{\circ}[/tex]
[tex]HJ \perp CD \\\\IJ \perp ED\\\\[/tex]
SO,
[tex]CF = FD \\\\EG=ED \\\\[/tex]
[tex]m \widehat{HD} = m \widehat{CH} = \frac{1}{2} m \widehat{CD}\\\\[/tex]
[tex]CF=13\\\\ ED = 13 \times 2 =26 \\\\ m \widehat{HD} = \frac{1}{2}\ m \widehat{CD} = 136^{\circ} \div 2 = 68^{\circ}\\\\m \widehat{CE} = 360^{\circ} -136^{\circ} - 136^{\circ} = 88^{\circ}\\\\[/tex]
Using the Vertical theorem and Theorem of the length of tangent to calculate the value:
[tex]ED=26\\\\CF=13\\\\m \widehat{ED}=136^{\circ}\\\\m \widehat{HD}=68^{\circ}\\\\m \widehat{CE}=88^{\circ}\\\\[/tex]
Note:
The given question is incomplete that's why we defined the question in the attached file and then solve it.
Find out more information about the arc of the circle here:
brainly.com/question/1577784
Related Questions
Help with number 3 please.
Answers
Answer:
The three integers are 11 , 13 , and 15 .
Step-by-step explanation:
Parallelogram A B C D is shown. Sides A B and D C are parallel, and sides A D and B C are parallel. Angle C is (3 y + 27) degrees and angle A is (5 y minus 3) degrees. What is the measure of ∠A? ° What is the measure of ∠B? ° What is the length of segment EF? units
Answers
Answer:
m<A = 72 degrees
m<B = 108 degrees
Step-by-step explanation:
For the parallelogram ABCD
The sum of the opposite angle will be 180 degrees
Hence <A + <B = 180 and m<A = m<C
5y - 3 = 3y + 27
5y - 3y = 27 + 3
2y = 30
y = 30/2
y = 15
Get m<A
m<A = 5y - 3
m<A = 5(15)-3
m<A = 75 - 3
m<A = 72 degrees
Get m<B
From the equation above;
m<B = 180 - m<A
m<B = 180 - 72
m<B = 108degrees
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so ill give 100 points
Answers
Answer:
its B, since 2 x 18 = 36
Step-by-step explanation:
Answer:
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Step-by-step explanation:
there is 2 books in group 2 so that means you do
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Can someone please help me 11 points ! If you don’t know add a comment don’t answer !!
Answers
Step-by-step explanation:
In the 1st one,
They are parallel linesThey both have the same slopeThe y intercepts are differentThey will have 0 solutions.E.x
[tex]2x + 5 = 2x + 3[/tex]
In the 2nd one,
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In the 3rd one
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Jordan wants to buy a used car that is $14,500. he decided to make a 5% down payment on the car and finance the balance. How much will Jordan be financing for this car?
Answers
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Answers
Answer:
the answer is 3 b. multiplied by 6
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What is the green dashed line called?
Answers
Answer:
axis of symetry
Step-by-step explanation:
Beast_Building on yt
Solve for the missing arc:
A 32.25 degrees
B 64.5 degrees
C 129 degrees
D 45 degrees
Answers
Answer:
hey i am also on this problem did you ever figure it out
Kishany is investing in a savings account that earns 3.85% interest compounded annually. How much will Kishany have in the account at the end of the 3rd year if she deposits $600 in the account?
a
$2,310
b
$672.00
c
$558.38
d
$669.30
Answers
Answer:
The amount in the account after 3 years is $672.00
Step-by-step explanation:
Here, we want to use the compound interest formula
A = P(1 + r/n)^nt
A is the amount in the account after the given time
P is the principal which is the deposit amount = $600
r is the interest rate = 3.85% = 3.85/100 = 0.0385
n is the number of times interest is compounded yearly (since it is annually, n = 1)
t is the time in years = 3
Substituting these values;
A = 600(1 + 0.0385/1)^(3 * 1)
A = 600(1.0385)^3
A = $672
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Answer:
9.
Step-by-step explanation:
The graph below represents the relationship between Jackie’s salary, s, and the length of time she works, t.
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Answer:
d = 3 and d = 3/4
Step-by-step explanation:
This is a quadratic eqution. Let's use the quadratic formula to solve it.
If ax^2 + bx + c = 0, then:
-b ± √(b^2 - 4ac)
x = ---------------------------
2a
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2(4) 8 8
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1
The rate of population decline of Seaside
Harbor is modeled by the equation
-0.00810
P(t)=15000e
where t is the time
in years and 15,000 is the current
population. In approximately how many
years will the population of Seaside
Harbor be 9,000?
Answers
(−0.0081p)(t)=(15000)(2.718282)
Step 1: Divide both sides by -0.0081t.
−0.0081pt
−0.0081t
=
40774.227427
−0.0081t
p=
−40774.227427
0.0081t
Answer:
p=
−40774.227427
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Answers
Answer: y=-8
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Practising and Applying
1. Find the lowest common multiple of
each group. Show the factors you used.
a) 5, 20, and 28
5,
b) 4, 8, and 32
c) 38 and 57
d) 5, 22, and 121
Answers
Answer:
1. 140
2. 32
3. 114
4. 660
Step-by-step explanation:
Practising and Applying
1. Find the lowest common multiple of
each group. Show the factors you used.
a) 5, 20, and 28
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150
Multiples of 20:
20, 40, 60, 80, 100, 120, 140, 160, 180
Multiples of 28:
28, 56, 84, 112, 140, 168, 196
Therefore,
LCM(5, 20, 28) = 140
b) 4, 8, and 32
Multiples of 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40
Multiples of 8:
8, 16, 24, 32, 40, 48
Multiples of 32:
32, 64, 96
Therefore,
LCM(4, 8, 32) = 32
3. 38 and 57
Multiples of 38:
38, 76, 114, 152, 190
Multiples of 57:
57, 114, 171, 228
Therefore,
LCM(38, 57) = 114
4. 5, 22, and 121
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 375, 380, 385, 390, 395, 400, 405, 410, 415, 420, 425, 430, 435, 440, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495, 500, 505, 510, 515, 520, 525, 530, 535, 540, 545, 550, 555, 560, 565, 570, 575, 580, 585, 590, 595, 600, 605, 610, 615, 620, 625, 630, 635, 640, 645, 650, 655, 660, 665, 670
Multiples of 12:
12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324, 336, 348, 360, 372, 384, 396, 408, 420, 432, 444, 456, 468, 480, 492, 504, 516, 528, 540, 552, 564, 576, 588, 600, 612, 624, 636, 648, 660, 672, 684
Multiples of 22:
22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286, 308, 330, 352, 374, 396, 418, 440, 462, 484, 506, 528, 550, 572, 594, 616, 638, 660, 682, 704
Therefore,
LCM(5, 12, 22) = 660
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Answers
Answer:
15 is a
Step-by-step explanation:
A scatter plot was made to show the value of certain cars based on the age of the car in years. The equation of the scatter plot's trend line is y = -1,700x +
32,000 where y is the value of the car in dollars, and x is the age of the car in years.
Use the trend line equation to predict the value of a car after 7 years.
O A. $18.82
O B. $18,820
O C. $25,000
O D. $20,100
Answers
Answer:
I think it's D.
Step-by-step explanation:
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There are eight pints of lemonade an equal amount of lemonade is poured into 15 cups how much is in each cup
Answers
Answer: 8/15
Step-by-step explanation:
From the question, we are given the information that there are eight pints of lemonade and that an equal amount of lemonade is poured into 15 cups.
The amount of lemonade that's in each cup will be gotten by dividing the total pints of lemonade by the number of cups. This will be:
= 8 pints / 15
= 8/15 pints of lemonade
a cheeta can run 70 miles per hour. What is this speed in feet
Answers
Answer: 369,600 feet per hour.
Step-by-step explanation:
The correct answer to this question is that the cheetah can run 369,000 feet per hour. We can work this out in the following way:
One mile equals 1760 yards
In feet that is 3 x 1760 or 5,280
So Feet per hour will be 5280 x 70 or
369,600 feet per hour.
Answer:
6160 feet per minute
brainliest, pleasedefine key features
Answers
Answer:
Wait no I apologize. This is the right one.
Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.
PLEASE HELP ILL GIVE BRAINLIEST
PLEAZE SHOW WORK
Answers
Answer:
A
Step-by-step explanation:
divide it
45/.7
what is the axis of symmetry for y=6x^2+6x
Answers
Answer:
x=3
Step-by-step explanation:
The sun is currently at a 67° angle of elevation. A tree is leaning away from the sun at a 5° angle
and casts an 18-foot shadow. How tall is the tree?
Answers
Answer:
correct me if Im wrong but
I think it would be 35.293
give the like terms step by step.
Answers
Answer:
Step-by-step explanation:
Like terms have same variable.
Given term like term
-19m 5m
28 952
42bc -2bc
-y 7y
2r 45r
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What is the best description of the 27 in this expression?
a 27 is a term
b 27 is an irrational number
c 27 is a coefficient
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Answers
Jack has $20 in his savings account that earns 10% annually.The interest is not compound.How much will he have in 1 year?
Answers
Answer:
$22
Step-by-step explanation:
Given data
Principa= $20
rate= 10%
time= 1 year
The simple interest expression is given as
A= P(1+rt)
substitute
A= 20(1+0.1*1)
A= 20*1.1
A= $22
Hence the amount after 1 year is $22
There is a line that includes the point (4,8) and has a slope of 4 What is its equation in slope- intercept form
Answers
Answer:
y=4x-8
Step-by-step explanation:
1) The slope-intercept form of an equation looks like this:
y=mx+b
The m stands for the slope and the b stands for the y-intercept. We need two points on the line to write out this equation.
2)We have the slope you entered in, so we'll plug that in first:
y=4x+b
3) Now, let's plug in that point you entered in to solve for b:
y=4x+b
8=4(4)+b
8=16+b
8-(16)=b
-8=b
4) Now that we have both our slope, m, and our y-intercept, b, values, we can plug them in to get our equation:
y=mx+b
y=4x-8
What is the y-intercept of this graph?
Answers
Answer:
The y intercept is 3
Step-by-step explanation: