Drag the tiles to the correct boxes to complete the pairs, In the figure, lines H and KL are parallel. TH K E G D Match each angle relationship with the appropriate reason. Vertical angles theorem Alternate exterior angles theorem linear pair Alternate interior angles theorem Corresponding angles theorem same-side interior angles m_HED = m_FE) mKFE = m_FEJ MZLFG = MADEH
Answers
The angle relationship and their reasons are:
m∠HED = m∠FEJ ---> Vertical angles theoremm∠KFE = m∠DEH ---> Alternate interior angles theoremm∠LFG = m∠DEH ---> Alternate exterior angles theoremm∠JEF + m∠LFE = 180° ---> same-side interior angles theoremm∠DEJ = m∠EFL ---> Corresponding interior angles theoremm∠LFG + m∠GFK = 180 ---> linear pairThe angle pairs are formed based on their relative positions. The following shows each angle relationship and their reasons:
∠HED and ∠FEJ are directly vertically opposite each other, therefore, they are equal based on the vertical angles theorem.
m∠HED = m∠FEJ ---> Vertical angles theorem∠KFE and ∠FEJ are alternate interior angles, therefore, they are equal based on the alternate interior angles theorem.
m∠KFE = m∠DEH ---> Alternate interior angles theorem∠LFG and ∠FEJ are alternate exterior angles, therefore, they are equal based on the alternate exterior angles theorem.
m∠LFG = m∠DEH ---> Alternate exterior angles theorem∠JEF and ∠LFE are interior angles on same side of the transversal, therefore, the sum of both angles equal 180 degrees based on the same-side interior angles theorem.
m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem∠DEJ and ∠EFL are corresponding angles, therefore, they are equal based on the corresponding angles theorem.
m∠DEJ = m∠EFL ---> Corresponding interior angles theorem∠LFG and ∠GFK are angles on a straight line, therefore the sum of both angles will equal 180 degrees because they are a linear pair.
m∠LFG + m∠GFK = 180 ---> linear pairLearn more about angle relationship on:
https://brainly.com/question/12591450
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Answer:
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Step-by-step explanation:
Select the graph of the equation y + x + 3 = 0.
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Answer:
the fourth image
Step-by-step explanation:
y + x + 3 = 0
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meaning slope = -1
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Cameron wants to buy a camera for $259. He has $50 and plans to save $20 each week. How many weeks will it take to save enough money to buy the camera? (not including
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Answer:
About 11 Weeks
Step-by-step explanation:
I found out by multiplying 11 by 20 and got 220. Then, adding 50 is 270, which is just over 259. It's not ten because 200 is just underneath his goal.
The points K(5,-5)(5,−5), L(9,-5)(9,−5), and M(7,3)(7,3) form a triangle. Plot the points then click the "Graph Triangle" button.
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What is meant by a circle's diameter?
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Answer:
The diameter is the length of the line through the center that touches two points on the edge of the circle.
Step-by-step explanation:
please mark my answer in brainlist
Answer:
Step-by-step explanation
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Consider this diagram of quadrilateral ABCD, which is not drawn to scale.
Answers
Answers: Choice B and Choice D.
[tex]\angle ABE \cong \angle CDE[/tex] and [tex]\overline{AE} \cong \overline{CE}[/tex]
=====================================================
Explanation:
The tickmarks tell us which segments are congruent to one another. The segments with single tickmarks show that AE and CE are the same length. So this is why [tex]\overline{AE} \cong \overline{CE}[/tex]
---------------
The two triangles AEB and CED can be proven congruent through the use of the SAS theorem. From there, use CPCTC to conclude that the corresponding angles ABE and CDE are the same measure i.e. [tex]\angle ABE \cong \angle CDE[/tex]. They are alternate interior angles which helps lead to side AB being parallel to CD.
Answer:
B & D or <ABE=<CDE, AE=CE
Step-by-step explanation:
I got it right on khan
Find the volume in cubic yards of a rectangular solid with length 3.8 yards, width 2.2 yards, and height 2.3 yards
Answers
Answer:
19.228 cubic yards
Step-by-step explanation:
volume = l×w×h
[tex]v = (3.8)(2.2)(2.3) \\ = 19.228 \: {yards}^{3} [/tex]
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Answers
[tex]\text{Given that,}\\\\\csc \theta = 3\\\\\implies \csc^2 \theta = 9\\\\\implies 1+ \cot^2 \theta = 9\\\\\implies \cot^2 \theta = 8\\\\\implies \cot \theta = \pm \sqrt 8 = \pm 2\sqrt 2\\\\\text{Since,}~90^{\circ}< \theta < 180^{\circ},\\\\\cot \theta = -2\sqrt 2[/tex]
Guys help me on this one please…
Answers
Answer: 6. 35 hours
7. 741 Miles
8. 1.5 or 1.54
Step-by-step explanation:
6. 142.20/6=23.7
829.50/23.7=35
7. 117/3=39
39x19=741
8.19/12.35=1.538
PLEASE HELP!! ASAP THANKS
Answers
If 18 is subtracted from twice the square of an integer, the result is equal to nine times the integer. What is the value of the integer?
Answers
Answer:
6 or -1.5
Step-by-step explanation:
We can let this integer be x.
Therefore, according to the question we have:
[tex]2x^2-18=9x[/tex]
Subtracting 9x, we have a quadratic:
[tex]2x^2-9x-18=0[/tex]
Plugging into the quadratic equation:
[tex]\frac{9+\sqrt{81+144}}{4}, \frac{9-\sqrt{81+144}}{4},[/tex]
the square root of 81+144 is 15, so the answer is either 6 or -1.5
Joel wants to buy a new tablet computer from a store having a 20% off sale on all tablets. The tablet he wants has an original cost of $190. He also wants to make sure he has enough money to pay the 5% sales tax. How much will Joel pay for the tablet?
Answers
Answer:
161.5 $
Step-by-step explanation:
the cost of table after the discount = 100% - 20% = 80%
the cost of table after the discount = Original cost × 80%
=(190)(0.8)
=152 $
the cost of table after the discount plus the tax = (the cost of table after the discount) + (Original cost × 5%)
=152+(190)(0.05)
=152+9.5
=161.5 $
So... The total amount will Joel pay for the tablet = 161.5 $
You take the original asking price ($190) you find 20% of 190 which is 38. Then you subtract 38 from 190 you get 152. Next you do 5% of 152 and you get 7.95. Finally you add 7.95 to 152 and you get 166.95.
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Answers
Answer:
so 6x = -6y + 5
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x = 5
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
I'll put this as random but you can answer it...
ill give yall 10 points if yall do it!
Answers
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Answer:
yea no
Step-by-step explanation:
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Answers
Answer:
2-3j
Step-by-step explanation:
Distribute 1/3 to the rest of the equation and you'll get 2-3j
I hope this helps!
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6/3-9j/3
100 points brainlyest if right
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Answer:
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Step-by-step explanation:
I would love to help tho
Answer:
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Step-by-step explanation:
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Answers
7 can be written as :-
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Hope it helps ⚜
If 20 students have only airpods,
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Answers
Answer:
There should be 20 students that have both Beats and AirPods.
Step-by-step explanation:
There are 50 students in total.
20 students have only AirPods and 30 students have Beats. Out of the 30 who own Beats, there are 10 students that have ONLY Beats.
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It's a tricky question, but this is the correct answer!
Hope This Helps!
can retainers still fit w a small gap?
Answers
Answer:
Retainers have been designed to be used as an end of treatment to help retain your teeth in their new position. ... These are removable and fixed retainers. The reason why retainers can't be used to close a gap is because they are fitted at the end of treatment and are made to fit the straight teeth mould.
hope it help u
itz by Riddhi
Answer:
yes
Step-by-step explanation:
A video game is on sale for 30% off the
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A.$20
B.$30
C.$33
D.$35
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Answer:
d! 35 ......!!!!!!!!!!!!
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Answers
Answer:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10!!
Step-by-step explanation:
solve the inequality 2x+2-6x<32
Answers
x>−15/2
15/2 is a fraction
Derivative of tan^2 x
Answers
Answer:
[tex]2sec^2xtanx[/tex]
Step-by-step explanation:
[tex]\frac{d}{dx} tan^2x[/tex]
[tex]\frac{d}{dx} tanxtanx[/tex]
[tex](\frac{d}{dx}tanx)(tanx)+(tanx)(\frac{d}{dx}tanx)[/tex]
[tex]\frac{d}{dx}tanx=\frac{d}{dx}\frac{sinx}{cosx}=\frac{(cosx)(cosx)-(sinx)(-sinx)}{(cosx)^2}=\frac{cos^2x+sin^2x}{cos^2x}=\frac{1}{cos^2x}=sec^2x[/tex]
[tex](sec^2x)(tanx)+(tanx)(sec^2x)[/tex]
[tex]2sec^2xtanx[/tex]
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Product Rule: [tex]\frac{d}{dx}f(x)g(x)=f'(x)g(x)+f(x)g'(x)=\frac{d}{dx}f(x)*g(x)+f(x)*\frac{d}{dx}g(x)[/tex]
Quotient Rule: [tex]\frac{d}{dx}\frac{f(x)}{g(x)}=\frac{g(x)f'(x)-f(x)g'(x)}{(g(x))^2}=\frac{g(x)\frac{d}{dx}f(x)-f(x)\frac{d}{dx}g(x)}{(g(x))^2}[/tex]
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A machinist must cut 17 strips of metal that are each 2 ft 6 2/8 in long. What is the total length of metal needed in inches? Write as a proper or mixed fraction.
Answers
Answer:
Step-by-step explanation:
2/8 inch = ¼ inch
1 ft = 12 inch
17(2(12) + 6¼) = 514¼ inches
provided a shear with zero kerf is used.
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Answers
Answer:
see explanation
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
Then for the equation to have 2 real roots , the discriminant must be greater than zero , that is
b² - 4ac > 0
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with a = 1, b = 1, c = c , then
b² - 4ac > 0
1² - (4 × 1 × c) > 0
1 - 4c > 0 ( subtract 1 from both sides )
- 4c > - 1
Divide both sides by - 4, reversing the inequality as a result of dividing by a negative quantity.
c < [tex]\frac{1}{4}[/tex]
Answer each part. If necessary, round your answers to the nearest hundredth. (a) A color printer prints 9 pages in 3 minutes. How many pages does it print per minute? | pages per minute (b) At Hoffman's Bike Rentals, it costs $37 to rent a bike for 7 hours. How many hours of bike use does a customer get per dollar? hours per dollar
Answers
Answer:
Q1: 3 pages per minute
Step-by-step explanation:
time = 3 minutes
pages = 9 pages
answer = 9 divided by 3 = 3
Answer:
3 pages per minute
1 hour per $5.29
Step-by-step explanation:
9÷3= 3
37÷7= 5.29
Estimate. Then divide. check for reasonableness 25,600 divided by 25.
Answers
Answer:
Step-by-step explanation:
what is a fraction between 2/3 and 4/7
Answers
Answer:
3/5
Step-by-step explanation:
it is between 2/3 and 4/7
What are the first five terms of the arithmetic progression with the first term 8 and common difference 7 , then find the 17th?.
Answers
Step-by-step explanation:
a1 = 8
a2 = 8 + 7 = 15
a3 = 15 + 7 = 22
a4 = 22 + 7 = 29
a5 = 29 + 7 = 36
an = an-1 + 7 = a1 + 7×(n-1)
a17 = 8 + 7×16 = 8 + 112 = 120
