D and E are the mid-points of the sides AB and AC of ΔABC and O is any point
on side BC. O is joined to A. If P and Q are the mid-points of OB and OC
respectively, then prove that DEQP is a parallelogram.
Answers
Check out the diagram below.
Since D and E are midpoints of AB and AC this means midsegment DE is parallel to side BC. Furthermore, it means DE is parallel to PQ because PQ is entirely on BC.
---------
Note how I drew a line from A to O. This forms two triangles ABO and ACO
For triangle ABO, segment DP is a midsegment because D and P are midpoints of AB and OB respectively. This means side DP is parallel to side AO. Keep this in mind as we'll use it later.
For triangle ACO, segment EQ is parallel to AO because EQ is a midsegment for similar reasons as already mentioned (E and Q are midpoints of AC and OC respectively). So this must mean that AO is parallel to EQ
Now chain the arguments together: if DP || AO and AO || EQ, then DP || EQ by the transitive property.
-----------
In short, we've proven two things
DE is parallel to PQDP is parallel to EQThis is enough to conclude that DEQP is a parallelogram. By definition, a parallelogram has two pairs of opposite parallel sides.
Answer:
Points
Step-by-step explanation:
Related Questions
Which equation demonstrates the distributive property?
Answers
Answer:
C)
Step-by-step explanation:
The distributive property is
a(b + c) = ab + ac.
Choice C) shows the distributive property in reverse.
Answer: C)
Please help with math please
Answers
Answer:
eight to the power of 4 would be 8x8x8x8, 9 cubed would be 9x9x9 and 9^3, 17x17x17, 21x21x21x21x21 and 21^5, 7^2, 11x11x11x11
Step-by-step explanation:
Question 7
Find the distance between -2.5 and 1.8. (Draw a number line if necessary
to solve)
Answers
Answer:
-0.35
Step-by-step explanation:
(2.5+1.8)÷2 then minus from 1.8
4.3÷2=2.15
1.8-2.15= -0.35
What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Answers
Answer:
18
Step-by-step explanation:
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Last year a tree was 12.8 meters tall it grew 1.35 meters taller this year if it grows the same amount next year how tall will the trees be
Answers
Answer:
15.5 meters tall
Step-by-step explanation:
Add 1.35 for each year to the start amount.
I need some help with this one please and thanks.
Answers
Answer:
116
Step-by-step explanation:
hope this helps
The diameter of a cylinder is 5 yd. The height is 4 yd. What is the volume of the cylinder
Answers
Answer:
25 pi square yd OR rounded pi to 3.14: 78.5 square yd
Step-by-step explanation:
Use the formula volume of cylinder = base area × h to determine the value of the base area.
Diameter: 5 yd
Height: 4 yd
(5/2)^2 Pi x 4 = 25 pi square yd.
Answer:
78.5 yd
Step-by-step explanation:
= [tex]\pi[/tex]r²h
= (3.14)(2.5)²(4)
= (3.14)(6.25)(4)
= 19.625 x 4
= 78.5 yd
on a number line, the length of GD is 18. If the coordinate of the midpoint A of GD is 0, what are the coordinates of the points G and D?
Answers
Answer:
coordinates of : G = -9 , D = 9
A, B & C form the vertices of a triangle.
∠ CAB = 90°,
∠ ABC = 51° and AB = 8.6.
Calculate the length of BC rounded to 3 SF.
Answers
Answer:
BC ≈ 13.7
Step-by-step explanation:
using the cosine ratio in the right triangle
cos51° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{8.6}{BC}[/tex] ( multiply both sides by BC )
BC × cos51° = 8.6 ( divide both sides by cos51° )
BC = [tex]\frac{8.6}{cos51}[/tex] ≈ 13.7 ( to 3 sf )
how many numbers are between 1 and 212
Answers
Answer:
210 (numbers between )
Step-by-step explanation:
Provide two numbers that are on the opposite side of zero.
Answers
Answer:
Positives: 9 and 4
Negatives: -5 and -7
Have an amazing day!!
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A patient is expected to drink 8 fluid ounces of water every hour for 5 hours prior to going to bed, the night before a colonoscopy. Then right before bed, they must drink 6 fluid ounces of water and 5 ounces of Pedialyte. How many total fluid ounces has the patient consumed prior to going to bed.
Answers
Answer:
40
Step-by-step explanation: It's 40 because 8 times 5 is 40. But if you want to find out how much water the patient drank all together including right before bed then it would be 46 ounces of water.
I’ll mark brainliest!
Please help
And extra points !
Look at the picture above and the picture also asks How many seconds did it take the paper airplane to reach the ground ?
Please write at least 2 sentences explaining thank you!
Answers
Answer:
It would take the plane 3 seconds to reach the ground. Yhis is because after three seconds y=3.
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answers
Use the law of sins area formula A = .5bcsina
0.97 in word formation
Answers
Answer:
97 hundreths or 97 cents
Step-by-step explanation:
Answer:
97 hundredths.
Step-by-step explanation:
9 is in the tenths place, but that means .9 is also 9 hundredths. With the 7 in the hundredths place, .97 is 97 hundredths.
Hope this helps...have a great day! :3
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, what percentage of people have an IQ score between 70 and 130?
Answers
70 = 100 - 2•15 is 2 s.d.'s below the mean.
130 = 100 + 2•15 is 2 s.d.'s above the mean.
By the empirical rule,
Pr [70 ≤ X ≤ 130] = Pr [-2 ≤ Z ≤ 2] ≈ 95%
(where Z is normally distributed with mean 0 and s.d. 1)
help pleaseeeeeeeeeeee
Answers
Answer:
3x + 7
Step-by-step explanation:
let the number be x then multiply it by 3 is 3x , then add 7 is
3x + 7
Answer:
3x + 7
Step-by-step explanation:
3 multiply x then add 7
3x + 7
PLS HELP WILL MARK BRAINLIEST
Martin incorrectly claims that there are only parallel line segments found in the blinds. Give an example of perpendicular line segments found in the blinds.
Answers
Answer:
see attached
Step-by-step explanation:
Any of the vertical lines is perpendicular to any of the horizontal lines.
The open/close/adjust handle is perpendicular to the blind slats and the blind frame.
The threads that hold the slats, and the string that raises/lowers them are also perpendicular to the slats.
Write a system of equations and then solve by the method of your choice. Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each. After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792. Find the number of each general admission tickets sold.
Answers
Given :
Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each.
After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792.
To Find :
The number of each general admission tickets sold.
Solution :
Let, general admission are x.
So, Reserved seat tickets will be 1787 - x.
Now, total amount T = 3x + 4( 1787 - x )
T = $5792
3x + 4( 1787 - x ) = $5792
-x + 7148 = 5792
x = 1356
Therefore, the number of each general admission tickets sold are 1356.
Hence, this is the required solution.
Malik borrowed $8,000 to buy a new boat. He will pay off the loan after 4 years by paying back the principal plus 6.5% simple interest. How much will Malik pay back altogether?pls help
$520
$2,080
$8,000
$10,080
Answers
Answer:
$520
Step-by-step explanation:
8000x0.065=520
Find the mean absolute deviation of the set of data.
1, 4, 7, 8, 10
Answers
Answer:
2.8
Step-by-step explanation:
Answer:
2.8 is the MAD
6 is the mean
Write the equation of the line that passes through the points (4,-1) and (4,8). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
x = 4
Step-by-step explanation:
Given the points (4, - 1) and (4, 8)
Note the x- coordinates are 4 in both cases.
This indicates the line passing through the points is vertical with equation
x = c
where c is the value of the x- coordinates the line passes through. In this case 4, thus
x = 4 ← equation of vertical line
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
Answer, B
I looked up this question and i couldnt find the correct one, so here you go
Answers
PLEASE ANSWER QUICKLY ASAP
READ QUESTIONS CAREFULLY
Answers
Answer:
The answer is B and C . If you need the method I used to find it, contact me via comments on brainly.
Answer:
B and C
Step-by-step explanation:
on c i got exactly 25%
but on B i got 23% but B was the closest to 25% than A and D
use the substitution method to solve the system of equations. choose the correct ordered pairs
-x=-y-6
x+2y=12
a. (7,1)
b. (8,2)
c. (6,0)
d. (9,3)
Answers
Answer:
c. (6, 0)
Step-by-step explanation:
First, add y on both sides of the first equation, so it's easier to solve:
-x+y = 6
x+2y = 12
Then, add the 2 equations:
3y = 18
y = 6
Since c is the only one with a 6, we can deduce that the answer is c.
We can further check by plugging y back into the first equation:
-x+6 = 6
-x = 0
x = 0
This confirms that the answer is c.
I hope this helped.
What is Greatest value of 7,499
Answers
................……,.
Answer:
9 is the greatest value
Step-by-step explanation:
Suppose the equation is 9.99s + 7.99s + 4.6 = 53.94. Can you combine the s terms and 4.6? Explain.
Answers
Answer: No you cannot.
Step-by-step explanation:
They are different units and cannot be combined.
What’s the answer to them and can u show work as well
Answers
3. 5
Constant terms are terms with no variables attached to them, and will not change under any circumstances. A variable is typically denoted by a Latin Alphabet.
4. 4
The coefficient is the whole number found in front of the variable, typically being multiplied to it. In this case, you are solving for the coefficient that is found in front of g², which is 4.
5. -3c
The coefficient -3 is found at the 3rd term of the expression.
6. -12x & -17x ; 15y & 16y
Like terms are terms with the same variable as well as the same amount of variables. For example x² is not a like term of x, though both variables have x to signify them.
7. 3c
Unlike terms are terms that do not share at least one partner of the same amount of variables. c is a variable by itself with no other terms containing it, and so is your answer.
~
Suppose B is the point (4, -2) and A is the point (-6, 3).
Find point C so that point B is the midpoint of segment AC
Answers
Answer: (14, -7)
Step-by-step explanation:
Find the Volume of the Prism.
Height= 3cm
Length=8cm
Width=5cm
Please help
Answers
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.