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
Related Questions
I need help with this please hurry it's timed
Answers
Answer:
60 inches
Step-by-step explanation:
26^2+54^2 = 3592
[sqrt]3592 = 59.9 --> 60inches
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Answer:
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Step-by-step explanation:
A filing cabinet measures 5 feet high 18 inches wide and 2 feet deep. what is the volume of the filing cabinet?
Answers
Explanation:
18 inches = 18/12 = 1.5 feet
The cabinet is 5 ft by 1.5 ft by 2 ft. Multiply the values to get 5*1.5*2 = 15
A police car drives 144 km in 240 minutes. what is its average speed in kilometers per hour?
Answers
Explanation: 144/4
Keri has some ball bearings. Each one is in the shape of a sphere with a radius of 6 mm.
(a) Find the volume of one ball bearing. Give your answer in mm3 in terms of pi
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PLEASE HELP!!!
True or false
3(x-2) and 3x-6 are
equivalent
Answers
Answer:
true!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
True.
Step-by-step explanation:
They are equivalent expression because if you distribute the 3 in 3(x-2), you will get the same expression as 3x-6.
3(x-2) =
(3*x) - (3*2) =
3x - 6
Hope this helps.
The Smith family goes out for lunch, and the price of the meal is $45.The sales tax on the meal is 6%, and the family also leaves a 20%tip on the pre-tax amount. What is the total cost of the meal?
Answers
Answer:
$56.70
Step-by-step explanation:
45 x 6% = 2.7 Multiply price of meal with the percentage of sales tax
45 x 20% = 9 Multiply price of mean with the percentage of tip
$9 is the tip amount
$2.70 is the sales tax
$45 + $2.70 + $9 = $56.70. Add the price of the meal with the sales tax and tip amount to get the total cost of the meal.
Sofia walks from her house to the park. She reaches the park at 5 5 : : 25 25 . If it is a 40 40 -minute walk, what time did she leave her house?
Answers
Answer:
4:45
Step-by-step explanation:
hope this helps
The product of 0.4 and a number is 8 write a mathematical expression to represent the verbal expression. Use n for the variable solve the expression
Answers
Answer:
0.4n = 8
n = 20
Step-by-step explanation:
0.4n = 8
n = 8 / 0.4
n = 20
I been on this for days and no one can give me a right answer
Answers
Answer:
2x²=6x-5= x=3+i/2
-x²-10x=34= x = -(5+3i)
Step-by-step explanation: 2x²=6x-5 and -x²-10x=34 are the answers
niko made a small pizza using 5 ounces of chease and 3 ounces of sauce he wants to make a large pizza with 10 ounces of chease using the same ratio of cheese sauce
Answers
Answer:
Step-by-step explanation: here I am pretty sure it is 6
Larry wishes to invest $1500. he can invest in an investment club which pays simple interest of 8% for 3 years. what is the amount in his account after three years?
A. $1830
B. $1860
C. $5024
D. $1524
Answers
1500x8/100=120
Then, 120x3=360
After, 360+1500=1860
Answer is B. $1860
Help help help math please last one be honest
Answers
Answer:
122 degrees
Step-by-step explanation:
The two intersecting lines are parallel for this problem, which means that the angle next to angle3 is the same degree measure as the one that is 58 degrees.
Also, remember that two angles next to each other on a straight line are supplementary, meaning that they add to 180 degrees.
When keeping these two things in mind, you can solve like this:
180 = angle3 + 58
180 - 58 = angle3
angle3 = 122
122 degrees
is 0.75 degrees Celsius a negative temperature or positive temperature
Answers
Answer:
Positive
Step-by-step explanation:
Anything below 0 is negative. 0.75 > 0
write an equation of the line passing through point p that is parallel to the given line.
3. P(6,10),y=-3x+13
Answers
Answer:
Step-by-step explanation:
y=-3x+13
y = mx + b, where m is the slope and b is the y-intercept.
A line parallel to this line will have the same slope, -3. We can start by writing:
y = -3x + b
No matter what is chosen for the value of b, this line will be parallel. We do want the line to go through point (6,10), however. The way that can be done is to find a value of b that would shift the line to go through (6,10).
Find b by entering the point (6,10) into the equation, and then solve for b:
y = -3x + b
10 = -3(6) + b
10 = -18 + b
b = 28
The line becomes y = 3x + 28
See the attachment.
3 movie tickets cost 3690$. At this rate, the cost per ticket is $....
Answers
Answer: The cost per ticket is $1,230.
Explanation: 3,690/3 = 1,230.
Answer: The cost for each ticket is $1,230.
Step-by-step explanation:
Michelle paid $3.00 per shirt. When she sells each shirt, she adds 150% markup to the price she paid for the shirt. What is the selling price for each shirt?
Answers
Answer:
$8.50 per shirt
Step-by-step explanation:
If the shirt was $3 originally, and they added 150% markup, 100% of 3 is 3.
so a 100% markup of a $3 shirt would be 6 dollars.
But since she marked it up 150%, you have to know 50% of $3.
50% of something is half, so
3 / 2 = 1.5
so ontop of the $3 extra, she adds $1.5, so
3 + 3 + 1.5 = 8.5
Michelle will sell the shirts for $8.50 each
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Answer: The last answer is correct.
Step-by-step explanation:
derivative for the function of t3+k/t=
Answers
Answer:
Step-by-step explanation:
I will ASSUME you want the derivative with respect to "t" of the equation
f(t) = t³ + kt⁻¹
f'(t) = 3t² - kt⁻² which can also be 3t² - k/t²
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Answers
Answer:
To find an inverse, you need to replace f(x) with y. Then switch the x and y's in your equation and solve for y. This will find f^-1(x).
Step-by-step explanation:
What is the volume of a cone
Answers
What is the solution to this problem
Answers
(49-46) + ( 4 x 3 )
(3) + (12)
= 15
13,22,31,...
Find the 31st term.
Find the 31st term.
Answers
Answer:
The 31st term is 283
Step-by-step explanation:
The sequence has a common difference therefore, it is an arithmetic sequence
[tex]an = a1 + (n - 1)d[/tex]
a31 = 13 + ( 31-1 ) 9
a31 = 13 + 270
a31 = 283
9. What conversion factor can you use to convert miles to inches? Explain how you found it.
Answers
Answer:
You know that 1 mile = 5280 feet and 1 foot = 12 inches, so using these conversion factors you can go from one to the other.
I hope this answered you question!
Step-by-step explanation:
limx→0
tan x − x
x − sin x
Answers
Answer:
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0
0 multiplied by anything is going to always be 0
The football team has a total of 350 jerseys. There are 154 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Pls help me
Answers
Answer:
Step-by-step explanation:
Given : The total number of jerseys = 350
The number of medium-sized jerseys = 154
Then, the percent of the jerseys are medium-sized jerseys will be :-
\begin{gathered}\dfrac{\text{Number of medium-sized jerseys }}{\text{Total jerseys}}\times100\\\\=\dfrac{154}{350}\times100\\\\=0.44\times100=44\%\end{gathered}
Total jerseys
Number of medium-sized jerseys
×100
=
350
154
×100
=0.44×100=44%
Therefore , the percent of the jerseys are medium-sized jerseys = 44%
5x – 1 = 7x – 4
operacion y comprobacion prfa
Answers
Answer:
x=3/2 Espero que esto te ayude
Answer:
x=3/2
hope this helps mate
solve the equation 0.35(x + 4) 0.2
Answers
Answer:
7 • (x + 4)
———————————
100
Step-by-step explanation:
0.2" was replaced by "(2/10)". 2 more similar replacement(s)
STEP1: 1
Simplify 1
-
5
Equation at the end of step1:
35 1
(——— • (x + 4)) • —
100 5
STEP2:
7
Simplify ——
20
Equation at the end of step2:
7 1
(—— • (x + 4)) • —
20 5
STEP3:
Equation at the end of step 3
7 • (x + 4) 1
——————————— • —
20 5
STEP4:
Final result :
7 • (x + 4)
———————————
100
I want to know how to find the area of polygon.
Answers
Answer:
The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].
Step-by-step explanation:
{NOBITA}
Answer:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Find the apothem of the polygon. If you're using the apothem method, then the apothem will be provided for you. Let's say you're working with a hexagon that has an apothem with a length of 10√3.
Step-by-step explanation:
but for a rectangle the area formula is
width*height
for a trapezoid area formula is 1/2(base1+base2)*height
for a hexagon area formula is
area = (3/2) · sqrt(3) · s2