Answers
The answers for the given proof of a parallelogram are explained below:
What is a parallelogram?A parallelogram is a straightforward (non-self-intersecting) quadrilateral in Euclidean geometry that has two sets of parallel sides. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size. The Euclidean parallel postulate, or one of its equivalent formulations, is a necessary precondition for both the congruence of opposite sides and opposite angles, and neither condition can be demonstrated without using it. In contrast, a quadrilateral with just one set of parallel sides is referred to as a trapezoid or trapezium in British or American English. A parallelepiped is the parallelogram's three-dimensional counterpart.
1) CPCTC(corresponding parts of congruent triangles are congruent)
2) Reflexive property
3) Corresponding angles theorem converse(If corresponding angles are equal then the lines are parallel)
4) Alternative angles theorem converse(If alternative angles are congruent then the lines are parallel)
5) SSS
6) Given.
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Related Questions
Select all that apply. Given the points (3, 2) and (6, 4), which of the following are true about the line passing through these points? The point (-6, 9) is also on the line. The line has a slope of . The line has a slope of . The line represents a direct variation function.
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Answer:
The point (-6, 9) is also on the line. False
The line has a slope of . (this statment is incomplete!)
The line has a slope of . (this statment is incomplete!)
The line represents a direct variation function. True ( y=2/3x )
Answer:
Slope of the line through the points (3,2), (6,4) is (4-2)/(6-3) = 2/3
"The line has a slope of 3/2". False, the slope is 2/3 not 3/2
"The line represents a direct variation function". True, as y = (2/3)x (which is a direct variation)
"The line has a slope of 2/3". True (as just proved by number one)
"The point (-6,9) is also on the line". Does y = (2/3) x 9 = (2/3) (-6) = -4?
No sir it does not so that's False.
Step-by-step explanation:
Can someone help me write and solve an equation to this word problem : A seventh grade class sells gift cards. Each gift card sells for $15.00. The school library gets 35% of the money earned for each gift card sold. How much money does the library get if the class sells 500 gift cards
Answers
Answer:
The anwser should be 2625
Step-by-step explanation:
35% of 15 is 5.25
5.25 multiple by 500 is 2,625
A street light is 7.5 feet tall casts a 3-foot-long shadow A nearby flagpole casts a 16.5 foot long shadow what is the height of the flag pole
Answers
Answer:
h = 41.25 foot
Step-by-step explanation:
Given that,
Height of a street light = 7.5 feet
It casts a 3-foot-long shadow.
A nearby flagpole casts a 16.5 foot long shadow. We need to find the height of the flag pole. Let the height be h. It can be calculated as :
[tex]\dfrac{\text{height of street light}}{\text{height of shadow of street light}}=\dfrac{\text{height of flagpole}}{\text{height of shadow of the flag pole}}\\\\\dfrac{7.5}{3}=\dfrac{h}{16.5}\\\\h=\dfrac{7.5\times 16.5}{3}\\\\h=41.25\ foot[/tex]
So, the height of the flag pole is equal to 41.25 foot.
The height of the flag pole is 41.25 feet tall.
Word problems in mathematics are methods used to solve real-life cases. They usually follow a logical approach with the use of arithmetic operations when solving them.
From the parameters given:
If 7.5 feet tall casts = 3-foot long shadowLet the height of the flag pole be = x
∴
(x) feet tall casts = 16.5 foot long shadow.To determine the height of the flag pole, we have:
[tex]\mathbf{x = \dfrac{7.5 feet \ tall \times 16.5 \ foot \ long} {3 \ foot \ long} }[/tex]
x = 41.25 feet tall
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Please help! I need it rn tysm <3
Answers
Answer:
B
Step-by-step explanation:
because you have a number multiplied 3 times, and you subtract 4 to that, which results in 4 less than 3 times a number
What's the value of
[tex] \sqrt{25} + 5 + 10 - 5[/tex]
Answers
Answer:
Step-by-step explanation: also it’s 15
[tex] \sqrt{25} + 5 + 10 - 5 \\ 5 + 5 + 10 - 5 \\10 + 10 - 5 \\ 20 - 5 \\ = 15[/tex]
[tex] \\ [/tex]
What point is the intersection of the equations
y=3x−2 and y=−2x+8
Answers
Answer:
x=2
Step-by-step explanation:
3x-2=-2x+8
collect all the like terms
5x=10
x=2
Answer:
(2,4)
Step-by-step explanation:
The average distance from Earth to the Moon is approximately 238,900 miles. what is the distance in scientific notations?
Answers
Find k so that x + 2 is a factor of x ^ 3 - k * x ^ 2 + 2x + 7k. (If anyone could help me out with this that would be amazing!!)
Answers
Answer:
k = 4
Step-by-step explanation:
If x + 2 is a factor of the polynomial;
By the factor theorem, if we set x + 2 = 0, then make x the subject of the formula; if we substitute the value into the polynomial, the result we should have after calculating should be zero
So, we have it that;
x + 2 = 0
x = -2
Substitute into the polynomial and equate to zero
(-2)^3 - k (-2)^2 + 2(-2) + 7k = 0
-8 -4k -4 + 7k = 0
-12 -4k + 7k = 0
-12 + 3k = 0
-3k = -12
k = -12/-3
k = 4
The area of a triangle is 12 1/2 the area of a parallelogram with the same base and height.
True or false?
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Answer: True
Step-by-step explanation: Hope this help :D
Preform the indicated operation. √75 + √12
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Answer:
the exact form is [tex]7 \sqrt{3}\\[/tex] but the decimal form is 12.124 :)))
Step-by-step explanation:
5^3=? Can someone help me with this I am stuck lol
Answers
Answer: 125
Step-by-step explanation: just multiply 5 x 5 x 5
Answer: 125
Hope this helps!
Leland hit the target 45 times in 50
shots using a bow and arrow. Based
on his first 50 shots, what would be a
reasonable prediction of the number
of times Leland would hit the target
in 200 shots?
Answers
Answer:
180
Step-by-step explanation:
200/50=4
45x4=180
Help this is due in 2 minutes
Answers
Assuming the percent is out of 100, we subtract 100-78 because milton is experiencing a decrease. If Milton were to experience an increase, we would have to add one to the .78 which would make it 1.78, but since that is not the case we know it is a decaying function. Which leaves you with b being your correct answer
7. Four points are graphed on the coordinate grid.
A Point W
B. Point V
C. Point S
D. Point R
Which point is best represented by the ordered pair (2,-5,5)
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Find the volume of a pyramid with a square base, where the perimeter of the base is 8.6 cm and the height of the pyramid is 8.1 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answers
Answer: 12.5 CC
Step-by-step explanation:
V=1/3Bh where B is the area of the base and h is the height
The perimeter of the square base is 8.6 so each side is 2.15 and the area of the base is (2.15)^2 or 4.6225
V=1/3(4.6225)(8.1)=12.5cc
Jenny used a total of 3 5/6 gallons of gas while driving her car. Each hour she was driving, she used 7/9 gallons of gas. What was the total number of hours she was driving?
Answers
Answer:
Jenny drove for about 4.93 hours
Step-by-step explanation:
Jenny uses 7/9 gallons of gas per hour.
She used a total of 3 5/6 gallons.
If x is the number of hours she drove, then she used 7x/9 gallons.
X* 7/9 = 3 5/6
3 5/6 can be converted to an improper fraction.
((3*6)+5) / 6 = 23/6 gallons
=> x * 7/9 = 23/6
=> x = (23/6) / (7/9)
=> x = (23/6) * (9/7)
=> x = 69/14
=> x = 4.928571429 hours.
A store purchased a chair for $10.00 and sold it to a customer for 50% more than the purchase price. The customer was charged 7% tax when the chair was sold. What was the customer's total cost for the chair? I
Answers
Answer:
$16.05
Step-by-step explanation:
50% of 10.00
0.50 x 10.00 = 5.00
10.00 + 5.00 = 15.00
7% of 15.00
0.07 x 15.00 = 1.05
15.00 + 1.05 = 16.05
Help me pleaseee I’ll mark brainliest!!
Answers
Answer:
your answer would be 339
Step-by-step explanation:
i used a circle calculator
you would multiply 2.25 and 24
which gives you 54
and you wanna find the circumference i dont knowhow to do that but it would be 339
Find out whether the angles are adjacent or vertical. Then find the value of x.
Answers
Answer:
x = 20
Step-by-step explanation:
angles are adjacent and add up to 180 degrees, so:
7x + x + 20 = 180
8x + 20 = 180
8x = 160
x = 20
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Answer:
?
Step-by-step explanation:
I can't see anything attached but I know all angles of a triangle add up to 180 degrees. It probably doesn't help tho.
Answer:
Since no figure is shown, i'll give you a hint.
Step-by-step explanation:
All angles inside a triangle equal 180 when combined.
i'll help more if you post the photo.
The ground pool for a hot air balloon can see the balloon in the sky at an angle of elevation of 11°. The pilot radios the crew that the balloon is 950 feet above the ground. What is the horizontal distance from the balloon to the ground crew.
Answers
Answer:
4,886.83feet
Step-by-step explanation:
The question will result in a right triangle with
Opposite = distance of the balloon above the ground = 950feet
Angle of elevation = 11 degrees
Required
Horizontal distance h (adjacent)
Using SOH CAH TOA identity
Tan theta =opp/adj
Tan 11 = 950/h
h = 950/tan 11
h = 950/0.1944
h = 4,886.83feet
Hence the horizontal distance from the balloon to the ground crew is 4,886.83feet
Help me figure out what "w" is
Answers
Answer:
w = 17.4º OR 17 2/5º
Step-by-step explanation:
5w - 3 = 90º
5w = 90º - 3
5w = 87º
w = 17.4º OR 17 2/5º
Hope that helps, and sorry if it's wrong!
(NO FAKE LINKS PLS) Use the geometric mean to find the value of e
Answers
Answer:
I have already answered this in your last question:)
There are 420 students at Virginia Middle School. For every 7 students, 4 of them are girls. How many girls are there at Virginia Middle School?
Answers
Answer:60
Step-by-step explanation:
What’s the length of the triangle round it to the nearest tenth.
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=12 (nearest tenth)
pls help me once again not a test
Answers
Answer:
oop it looks like I am helping again! lol
1 and 1/10
Step-by-step explanation:
0.25 + 0.45 + 0.40 = 1.10
1.10 as a fraction is 11/10
11/10 simplified is 1 and 1/10
hope this helps lol :)
some of the values of a linear function given in the table which of the following could be the graph of the function
Answers
Answer:
B
Step-by-step explanation:
Slope = 1
find two numbers that multiply to 36 and add to -20
Answers
Answer:
-18+2 hope it will help u
A members-only speaker series allows people to join for $19 and then pay $4 for every
event attended. What is the maximum number of events someone can attend for a total
cost of $31
Answers
Answer:
The answer is 3 events.
Step-by-step explanation:
I say this because the initial fee is $19, and its $4 per event so 4x3=$12 and $19 + $12 = $31 .
Put in order from smallest to largest 1, 7/16, 0, 5/2, 2/13, 5/9
Answers
Answer:
0 < 2/13 < 7/16 < 5/9 < 1 < 5/2
Step-by-step explanation:
5/2=2.5
2/13=0.154
5/9=0.55
0, 2/13, 7/16, 5/9, 1, 2.5