Complete the flow proof below by filling in the reasons for 1, 2, 3, 4, and 5.
Answers
To prove that EFGH is a parallelogram, the missing reasons are:
1. Alternate interior angles theorem
2. Reflexive property
3. SAS
4. CPCTC
5. Both pairs of quadrilateral EFGH are congruent, hence, EFGH is a parallelogram.
What is a Parallelogram?A parallelogram is a quadrilateral that has: two pairs of opposite sides that are parallel and congruent
To prove that EFGH is a parallelogram, we have the following proof which consists of the reasons that jsutifes each given statement:
1. ∠FGE and ∠HEG are alternate interior angles, therefore, ∠FGE ≅ ∠HEG based on the alternate interior angles theorem.
2. EG ≅ EG based on the reflexive property of congruence.
3. ΔFGE and ΔHEG have:
two pairs of corresponding congruent sides - EG ≅ EG, and FG ≅ EH
one pair of included congruent angles - ∠FGE ≅ ∠HEG
Therefore, ΔFGE ≅ ΔHEG by SAS.
4. Since ΔFGE ≅ ΔHEG, therefore, FE ≅ HG by CPCTC.
5. In conclusion, since both pairs of quadrilateral EFGH are congruent, then EFGH is a parallelogram.
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Related Questions
how would you write the equation
Answers
Answer:
What equation?
I Mark Brainliest !
Select All that apply
Answers
Answer:
B C D
Step-by-step explanation:
Solve for the value of p. (8p+4)* 54° Answer: P = Submit Answer
I'LL GIVE BEAINLIEST HELP !!!!
Answers
Answer:
Step-by-step explanation;
54+8p+4=90
58+8p=90
8p=90-58
8p=32
p=32/8
thus,p=4
8p+4=8×4+4=32+4=36
Sandy mixed together 9 gallons of one brand of juice and 8 gallons of a second brand of juice,
which contains 48 percent real fruit juice. Find the percent of real fruit juice in the first brand if
the mixture contained 30 percent real fruit juice. Which of the following equations could be used
to solve this?
Answers
Answer:
14 % pure juicecomes from first brand
Step-by-step explanation:
Mixture:
17 gal 30% contains: 17x 30% = 5.10 gal pure juice
Second brand:
8 gal 48% contains: 8x40% = 3.84 gal pure juice
5.10 − 3.84 = 1.26 gal
1.26 gal is coming from 9 gal of first brand
The percentage of first brand is:
(1.26/9) x100 = 14 % pure juice.
here are four fractions 2/5 2/3 1/14 1/10 look at the number line below write the letter for each fraction in the correct box help plz
Answers
Answer:
First box: 1/10
Second box: 2/5
Third box: 1/4
Fourth box: 2/3
In the image attached the correct order of letter for each fraction in the correct box are : Option D, C and A.
What is the fractions about?Note that:
A= 2/5
= 0.4
B =2/3
= 0.67
C = 1/14
= 0.25
D= 1/10
= 0.1
Therefore, In the image attached the correct letter for each fraction in the correct box are : Option D, C and A.
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Which type of function best models the area of the garden as a function of the width?
Answers
For the triangle above, find sin B.
a. 25° c. 0.923 b. 0.385 d. 18°
Answers
Answer:
c
Step-by-step explanation:
correct on edge 2021
A dog has a 25 ft leash attached to a corner where a garage and fence meet. When the dog pulls the leash tight and walks from the fence to the garage, the arc the leash makes is 74.3 ft. What is the measure of the angle between the garage and fence, in degrees?
150 degrees
170 degrees
190 degrees
107 degrees
Answers
Answer: [tex]170^{\circ}[/tex]
Step-by-step explanation:
Given
The dog has a 25 ft leash
Arc length is 74.3 ft
Arc length is given by
[tex]l=\dfrac{\theta }{360^{\circ}}\times 2\pi r[/tex]
here, r=25 ft
l=74.3 ft
Put the values
[tex]\Rightarrow 74.3=\dfrac{\theta }{360^{\circ}}\times 2\pi \times 25\\\\\Rightarrow \theta =170.2^{\circ} \approx 170^{\circ}[/tex]
The measure of the angle is [tex]170^{\circ}[/tex]
Help please I don’t understand it
Answers
Answer:
8
Step-by-step explanation:
4+4=8
A factory-made 100,000 jars of peanut butter. 50,000 of the jars contained creamy peanut butter. What percentage of the jars of peanut butter was creamy?
Write your answer using a percent sign (%).
Answers
Answer:
50%
hope this answer helps you!
Please help!!! look at attached image below i need an answer asap
Answers
Answer:
30
Step-by-step explanation:
180-53-97
6.2 yd
5.4 yd
Find the volume of the square pyramid. Round your answer to the nearest hundredth
Answers
Answer:
60.26yd³
Step-by-step explanation:
Since we are not given the diagram, let us assume that;
Length of the base = 5.4yd
Height of the pyramid = 6.2yd
volume of the square pyramid = BH/3
B is the base area = L^2
B = 5.4²
B = 29.16yd²
H = 6.2yd
Get the volume
volume of the square pyramid = 29.16*6.2/3
volume of the square pyramid = 180.792/3
volume of the square pyramid = 60.26yd³
Hence the volume of the square pyramid to nearest hundredth is 60.26yd³
A florist measures the lengths of roses the lengths in inches of a dozen roses are given below
Answers
Answer:13.5
Step-by-step explanation:
Which expression has the same value as the one below?
29+(-37)
Answers
Answer:
B
Step-by-step explanation:
29 + (-37) = 29 -37
Leave a like and mark brainliest if this helped
Answer: B
Because, 29 + (-37) = -8 and 29 - 37 = -8
Help with this pleaseeee
Answers
Answer:
66 cm (Option B)
Step-by-step explanation:
The formula for the circumference of a circle is C = 2πr, so plug the values into the formula. The radius, (r) of a circle is one half of the diameter, so split 21 is half to get a radius of 10.5. Use 3.14 for π.
C = 2πr
C = 2(3.14)(10.5)
C = 6.28 × 10.5
C = 65.94
Rounded to the nearest unit, you get a answer of 66 cm.
Hope this helps! :)
Please, help me in this!! It's very difficult for me. I'm doing assignments in edgeunuity. Please help me in my assignment!!!
Answers
Answer:
Inclined plane= 1st option
Wheel and axle= 2nd option
Wedge= 5th option
Pulley= 3rd option
Lever= 4th option
So far, 21 students signed up to go on the trip to the Math Museum. That’s only 30% of the number needed for Ms. Speth to agree to the trip. How many kids need to sign up for Ms. Speth to agree to the trip?
Answers
2 2/3 ÷ 1 1/9 calculate the following
Answers
Answer:
12/5
Step-by-step explanation:
convert to 8/3÷10/9
that gives 8/3÷9/10
then we calculate 4 x 3/5
which = 12/5
Answer:
12/5 or 2 2/5
Step-by-step explanation:
Firstly, change the mixed form into an improper fraction.
8/3 ÷ 10/9
To find the answer, you have to multiply by the reciprocal of 10/9.
8/3 x 9/10
12/5
Find the vertex of the parabola.
y = 2 x squared + 8 x + 12
a.
( 2, -4)
c.
( -4, 2)
b.
( -2, 4)
d.
( 4, -2)
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
a. ( 2, -4 )
Step-by-step explanation:
sana nakatulong :-)
Let f(x) = 3x² + 2x – 4 and g(x) = 5x + 7.
Which of the following terms will be part of f(x) + g(x)?
Answers
Answer:
i dont know fr sorry i need the points );
Step-by-step explanation:
Answer:
3x²+7x+3
Step-by-step explanation:
A youth football team has three out of 11 players who played quarterback previously. Based on the information, if there are 250 players in the football league, then how many could we expect to have previously played the position of quarterback?
a.68
b.250
c.70
d.3
Answers
Brooke paints the outsides of the square walls and triangular ceilings of her treehouse. What area does she paint? Enter your answer in the box.
Answers
Answer:
216
Step-by-step explanation:
The formula of finding the surface is length * width * height or LxWxH.
Since everything is 6 you just multiply 6*6*6 which gives you 36*6 which gets you 216. You don't need the top 6 just to find the surface she will paint.
Hope this helps!
what is the equation of this trend line? Enter your answers by filling in the boxes.
K=__J+__
Answers
Answer:
K= -2J+24
Step-by-step explanation:
Good luck .
Hope this helps .
sin(45°) *
1. 3/2
2. 1/2
3. 2/2
4. 0
5. 1
6. Undefined
Answers
Answer:
None of these are the correct choices
Step-by-step explanation:
An office building has 123 floors. The floors are 3.8m apart.
A lift goes from floor 32 to the top. How far does it travel?
Answers
Answer:
345.8 meters
Step-by-step explanation:
Given that :
Distance between floors = 3.8 m apart
Moving from floor 32 to the top
Number of floors moved = 123 - 32 = 91 floors
Distance traveled :
Distance between floors * number of floors moved
3.8 m * 91 = 345.8 meters
Find the value of x.
Answers
Answer:
x = 29°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180° for x
x = 180° - (128 + 23)° = 180° - 151° = 29°
Please help with my school
Answers
Answer:
You didn't send the pool dimensions ill answer it when u do
Step-by-step explanation:
Given a set of data that is skewed right, there is at least ___% of the data within three standard deviations.
Answers
Answer:
75%
Step-by-step explanation:
The right skewed data set means the data mostly lies in the right tail. There is majority of data present in the right tail of the data set. The mean, median and mod all are different for the rightly skewed data set.
Daniela needed 3 feet of thread to finish a pillow that she was making. She has 24 times as much thread as she needs. How much thread does she
actually have?
Answers
Answer:
im pretty sure it's 72 ft
Step-by-step explanation:
what is-12x + 16 – 4x = -112
Answers
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
First, I wanna point out a minor mistake, are we supposed to figure out x?
If we are, let's start.
[tex]-12x+16-4x=-112.[/tex]
We don't need the [tex]16.[/tex]
We subtract the 16 from both sides.
SImplify, =[tex]16x=128[/tex]
Also, group like terms, and add similar elements.
Answer:
x = 8
Step-by-step explanation:
-12x + 16 - 4x = -112
Combine like terms on the left side.
-16x + 16 = -112
Subtract 16 from both sides.
-16x = -128
Divide both sides by 16.
x = 8
Check:
-12x + 16 - 4x =
= -12(8) + 16 - 4(8)
= -96 + 16 - 32
= -80 - 32
= -112
-112 = -112
x = 8 is correct.
Answer: x = 8