What is the missing reason in steps 7 and 8 of the proof?
Given: ∆ABC with AB = c, BC = a, AC = b
Prove: = =
Statement Reason
1. Draw a line through B that is perpendicular to and label the point of intersection with as D. construction
2. In ∆ABD, BD = c sin A definition of sine in right triangle
3. In ∆CBD, BD = a sin C definition of sine in right triangle
4. c sin A = a sin C Substitution Property of Equality
5. = dividing throughout by sin A
sin C
6. Draw a line through A that is perpendicular to and label the point of intersection with as E. construction
7. In ∆BAE, AE = c sin B
8. In ∆CAE, AE = b sin C
9. c sin B = b sin C Substitution Property of Equality
10. = dividing throughout by sin B
sin C
11. = = Transitive Property of Equality
A.
definition of cosine in right triangle
B.
definition of sine in right triangle
C.
definition of tangent in right triangle
D.
Corresponding sides of congruent triangles are equal.
E.
definition of equilateral triangle
Answers
Answer:
Step-by-step explanation:
The answer is option B) def of sine in right triangle
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[tex]1 \frac{1}{4} [/tex]
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14 : 12 , 21 : 18 and 28 : 24
Step-by-step explanation:
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Find the measures of the numbered angles in each rhombus
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Answer:
2=41 1=49 3=49
Step-by-step explanation:
Angle 2 = 41 because it is directly across the given angle.
Angles 1 and 3 are equal, and the total number of degrees in the rombus are 180.
41+41=82
180-82=98
98 / 2 = 49
Angles and 3 both equal 49
Answer:
2=41°(Alternate Interior angles)
1=41°(diagonal of rhombus bisects the interior angles)
3=49°(180-82/2)
Step-by-step explanation:
If u can help please do
Answers
Answer:
the first one is 240
the second one is 280
the third one is 200
The answers that would be discarded would be 220, 360 and 500
Step-by-step explanation:
Hey There!
So for this problem all we have to do is plug in the hours worked and drones sold into the expression 10h+40d
For the first one we just plug in 8 for hours (because he worked 8 hours) and 4 for drones ( because he sold 4 drones )
so we would have 10(8) + 40(4)
10x8=80
40x4=160
160+80=240 So 240 would go with the first one
For the second one we plug in 4 for hours ( because he worked 4 hours) and 6 for drones ( because he sold 6 drones)
so we would have 10(4)+40(6)
10x4=40
40x6=240
240+40=280
So 280 would go with the second one
For the third one we plug in 12 for hours ( because he worked 12 hours) and 2 for drones ( because he sold 2 drones)
so we would have
12(10)+2(40)
12x10=120
2x40=80
120+80=200
so 200 would go with the third one
hope this helps :)
What is (are) the solution(s) to the equation 23x−3=−13x−6?
Answers
23x-3 = 13x-6
Or, 23x-13x = -6+3
Or, 10x = -3
Or, x = -3/10
Therefore x = -3/10 ans
Hope this helps !
Please mark it as the brainliest
Simplify the following expressions. Assume all variables are positive.
Exponents in simplified form should all be positive.
(81)
1.
493 · 494
2.
3
(81)
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Answers
2)1/9
3) 2x^6
Jamie has white, blue, and pink shirts. She has black, white, and beige pants. She has black and brown shoes. If she chooses one shirt,
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What is the solution given the expression 7x^-2 when x=3 and y=9 ?
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Answer:
252
Step-by-step explanation:
Jack has $500 in a bank account that will earn 3% interest every year. Diane has $100 in an investment account that will earn 12% every year. How many years will it take for Diane's account balance to overtake Jack’s?
Answers
Answer:
20 years
Step-by-step explanation:
A=500(1+.03)^20
$903
A=100(1+.12)^20
$964
It took her 20 years to overtake.
Answer:
Simple interest = NeverCompound interest = 19 years and 4 monthsStep-by-step explanation:
Jack
Initial amount = $500Interest rate = 3% = 0.03Yearly interest = 0.03*500 = $15
Diane
Initial amount = $100Interest rate = 12% = 0.12Yearly interest = 0.12*100 = $12
Diane's initial amount and yearly interest amount are both less than of Jack's.
It means her balance will never overtake Jack's.
=======================
It is not mentioned in the question but let's assume it is compound interest which is annually compounded.
Then after x years their balance will be:
Jack
500(1 + 0.03)^x = 500*1.03^xDiane
100(1 + 0.12)^x = 100*1.12^xSolve inequality below:
100*1.12^x ≥ 500*1.03^x(1.12/1.03)^x ≥ 51.087^x ≥ 5x log 1.087 ≥ log 5x ≥ log 5 / log 1.087x ≥ 19.29 years = 19 years and 4 months+-√-49=+-
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Answer: 0 if I am not mistaken
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Answer:
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Step-by-step explanation:
:))))))))))))))))))
It takes 45 min for Faucet A to fill a tank, and it takes Faucet B 63 min. How many minutes will it take the two faucets to fill the tank together?
Answers
Answer:
the total minutes taken together is 26.25 minutes
Step-by-step explanation:
The computation of the number of minutes that required to fill the tank together is shown below:
[tex]\frac{1}{45} + \frac{1}{63} = \frac{1}{x}\\\\\frac{7 + 5 }{315} = \frac{1}{x} \\\\\frac{12}{315} = \frac{1}{x} \\\\12x = 315\\x = 26.25[/tex]minutes
Hence, the total minutes taken together is 26.25 minutes
Please help me...will mark brainiest
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Answer:
x-121
Step-by-step explanation:
Answer:
x² - 22x + 121
Step-by-step explanation:
(x-11)² is the same as (x-11)(x-11)
multiply the x in the first parentheses by x and -11 in the other parentheses and multiply the -11 in the first parentheses by x and -11 in the other parentheses and add all together
x²- 11x - 11x + 121
x² - 22x + 121
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Answer:
1.8 is the h of the rhombus
Answer:
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Step-by-step explanation:
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Answer:
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Answer:
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Step-by-step explanation:
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Answer:
y=4, or $4
Step-by-step explanation:
a=initial amount
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Answers
Answer:
94458
Step-by-step explanation:
273 x 346 =94458
Answer:
just use a calculator
Step-by-step explanation:
94458
that is the answer
show all your work?
and please help me out ASAP!!
Answers
Answer:
EF = 36
Step-by-step explanation:
On a rhombus, all sides are equal because its a parallelogram so,
EF = FG
we first have to find what x equals so . . .
let's plug in the numbers
4x - 20 = 2x + 8
Now we combine like terms
we add 20 to both sides
so now it would be
4x = 2x +28
Now we subtract 2x from both sides because we want x by itself
this would equal
2x = 28
now we divide two from both sides this equals
x = 14
now we insert the numbers in the equation
4 x 14 - 20 = 36
if you have any questions feel free to ask - Mark
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Answer:
This is ur answer.
Hope.it helps!!!
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Answer:
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Step-by-step explanation:
yes.
are you trying to find the missing number bc if so then its 27
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Answer:
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Step-by-step explanation:
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Answer:
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i thonk :0
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Step-by-step explanation:
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A small radio station can broadcast in a circular range with a radius of 20 miles. About how many square miles is the area covered by this range? Use 3.14 for π.
Answers
The requried range of the radio station is given as 1256 square miles.
What is an area circle?The area of the circle is given by the pie times square of the radius.
A = πr², where r is the radius of the circle.
Here,
A small radio station can broadcast in a circular range with a radius of 20 miles.
The range is given by the area of the circle with given radius,
Area of the circle = πr²
Area of the circle = 3.14 × 20²
area of the circle = 1256 square miles
Thus, the requried range of the radio station is given as 1256 square miles.
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An auditorium has 21 rows of seats. The first row has 18 seats and each succeeding row has 2 more seats than the previous row. How many seats are in the auditorium?
Answers
Answer:
798
Step-by-step explanation:
So, 21*{2*18 + (21-1)*2}/2
= 21*{36 + 20*2}/2
= 21*{36+40}/2
= 21*76/2
= 1596/2
= 798
Total number of seats is 798
Given that;Number of seats in first row = 18
Number of rows = 21
Each row added number of seats then previous = 2
Find:Total number of seats
Computation:Total number of seats = Sn = (n/2)[2a + (n-1)d]
Total number of seats = Sn = (21/2)[2(18) + (21-1)2]
Total number of seats = (21/2)[36 + (20)2]
Total number of seats = (21/2)[36 + 40]
Total number of seats = (21/2)[76]
Total number of seats = (21)(38)
Total number of seats = 798
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I really need help with thing I am in math class help this is due today
Answers
Answer:
C
Step-by-step explanation:
The triangle is doubled