Given:
One midsegment of an equilateral triangle.
To find:
The ratio of the length of one midsegment of an equilateral triangle to the sum of two of its side lengths.
Solution:
All sides of an equilateral triangle are same.
Let a be the each side of the equilateral triangle.
Length of the midsegment is equal to the half of the non included side or third side.
[tex]Midsegment=\dfrac{a}{2}[/tex]
The sum of two side is
[tex]a+a=2a[/tex]
Now, the ratio of the length of one midsegment of an equilateral triangle to the sum of two of its side lengths is
[tex]\text{Required ratio}=\dfrac{\text{Length of midsegment}}{\text{sum of two sides}}[/tex]
[tex]\text{Required ratio}=\dfrac{\dfrac{a}{2}}{2a}[/tex]
[tex]\text{Required ratio}=\dfrac{a}{4a}[/tex]
[tex]\text{Required ratio}=\dfrac{1}{4}[/tex]
[tex]\text{Required ratio}=1:4[/tex]
Therefore, the ratio of the length of one midsegment of an equilateral triangle to the sum of two of its side lengths is 1:4.
its a me MAAAAAAAAAAAAAAAAAAAAAAAAAAA
how big is the specific ocean?
how do i ask a question?
whats obamas last know btw? does ANYONE KNOW!!!!?!?!?!?!?
WHERE DO LOST SOCKS GO WHEN THEY GO MISSING??
why do my eyes hurt after looking at a picture of the sun;(
what would happen if i hired two private investigators to follow each other...
Answer:
1. The Pacific Ocean has an area of 63.78 million square miles, an average depth of 3,688 meters, and a volume of 660,000,000km cubed.
2. Use these guidelines when developing questions:
Plan your questions.
Know your purpose.
Open conversation.
Speak your listener's language.
Use neutral wording.
Follow general questions with specific ones.
Focus your questions so they ask one thing at a time.
Ask only essential questions.
3. I don't know XD
4. On an adventure that humans don't know about
5. Depends on the picture of the sun.
6. They would probably be so confused while they tried to follow each other XD
Step-by-step explanation:
Can someone help me please
9514 1404 393
Answer:
IS a parallelogram
Step-by-step explanation:
The slope formula for the slope of the line between points (x1, y1) and (x2, y2) is ...
m = (y2 -y1)/(x2 -x1)
The distance formula for the length of that same line is ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
Here, you're asked to use each of these formulas 4 times, once for each side of the quadrilateral. I find it convenient to let a calculator or spreadsheet do the repetitive calculations. The result is attached.
The attachment shows that opposites sides have the same length and slope, so are parallel. The quadrilateral is a parallelogram. (The two points used in each calculation are the ones on the result line and the line immediately below. That is why point B is copied to the end of the list.)
_____
Additional comments
There are much simpler ways to prove the figure is a parallelogram. My favorite is to add the coordinates of the end points of the diagonals:
B +D = (-2+6, -9-3) = (4, -12)
C +E = (0+4, -5-7) = (4, -12)
These values being the same demonstrates the midpoints of the diagonals are coincident. That will only be the case if the quadrilateral is a parallelogram.
__
If you must use slope and distance formulas, showing either pair of opposite sides is parallel and have the same length is sufficient to guarantee that the other two sides are also parallel and have the same length. That is, the calculations required in this problem only need to be applied to one pair of opposite sides. (Using a spreadsheet, it's not a lot of extra work to do the calculations for both pairs of opposite sides.)
The diameter of a circle is 6 ft. Find its area to the nearest tenth.
Formulas:
A= πr²
d= 2r
Solving:
A=14πd²=14·π·6²≈28.27433ft²
Hope I helped. :)
- Valenteer
(Please mark me as brainliest if this helped, that would be beneficial!)
(Thx for the points!)
2(x + 4) − 1 = 2x + 7
Answer:
All real numbers are solutions to this problem.
Step-by-step explanation:
I) Simplify:
2(x + 4) - 1 = 2x + 7
x + 4 - 0.5 = x + 3.5 (Divide by 2)
x + 3.5 = x + 3.5 (Simplify x + 4 - 0.5)
x = x
II) Conclusion:
Any real number will work as a solution.
Someone plz help me I will give brainliest btw it’s not “decimals”
Answer:
It will not fit.
Step-by-step explanation:
The mat is 1/2 by 2/3. So, lets add that together.
1/2 + 2/3 = 7/6
Now there are 24 sixths in a fourth.
So subtract 24 - 4 = 17
Final answer would be 17/4. Still way to big to fit in the 1/4 step.
Hope this Helps!!:)
btw. Im back home now :)
Elyssa works as an assistant coach. She earns $10.95 per hour. How much will she get
paid if she works 7.5 hours next week?
Answer:
82.125
≈82.12 ( am not sure if it need to be estimated )
Step-by-step explanation:
1 hr -> 10.95
30m-> 5.475
10.95x7=76.65
76.65+5.475=82.125
≈82.12 ( am not sure if it need to be estimated )
6th grade math help me pleaseeee
Answer:
Top left
Step-by-step explanation:
Look at the numbers it's going through. The x axis is the one going side to side, y is up and down
3. A gardener mows 5 out of every 6 days. How many days would he mow
in a 90-day period of time? Plz I really need help ASAP
Answer:
Step-by-step explanation:
90(5/6)
450/6
75
9514 1404 393
Answer:
75
Step-by-step explanation:
90 = 6 × 15
There are 15 6-day periods in 90 days. The gardener will have mowed ...
15 × 5 = 75
times in those 15 periods.
He will mow 75 times in a 90-day period.
__
If you like, you can set up a proportion for the unknown number of mowings (m).
mows/days = m/90 = 5/6
Multiply by 90 to solve for m.
m = 90(5/6) = (90/6)(5) = 15(5) = 75 . . . . . . this should look like the above
Find the product. - mnp (3 m - 5 n + 7 p ) -3 m2np + 5 mn2p - 7 mnp2 -3 mnp + 5 mnp - 7 mnp -3 m + 5 n2+ 7 p2 3 mnp - 5 mnp + 7 mnp
Answer:
9mnp
Step-by-step explanation:
Answer:
It's 3m - 5n + 7p lol
Graph the equation y=1/2x+5
Answer:
This is what it should look like:
Find 17.3% of 286.1. Round to the nearest thousandth.
49 would be the answer I hope it helps
Answer:
Result = 49.495
Step-by-step explanation:
17.3% of 286.1=49.4953
rounded~49.495
Hope this helps as well
Suppose f(x)= 4x – 2
and g(x) = -2x + 1.
Find the value of
f(-1)/g(-3)
Step-by-step explanation:
f(-1)=4*(-1)-2=-4-2=-6
g(-3)=-2*(-3)+1=6+1=7
f/g=-6/7
help its so confusing
(On right polynomial) help find equivalent (Left equivalent expressions)
Answer:
i
Step-by-step explanation:
i
Please help me. Thank you so much
Answer:
x = 10
Step-by-step explanation:
C=0.4(285.7)+100
(No answer choices)
Answer:
c=214.28
plz mark as brainliest
Step-by-step explanation:
Answer:
C=0.4(285.7)+100
Step-by-step explanation:
C=0.4(285.7)+100
C= 114.28 + 100
C= 214.28
the root of equation 1/x-1 +1/x-2 = 1/x-3
Answer:
The roots of the quadratic equation are , .
Step-by-step explanation:
The roots of the quadratic equation are , .
Step-by-step explanation:
As given the equation in the form
Simplify the above equation
(x-2)-x = 3x × (x-2)
x-2 - x = 3x² - 6x
3x² - 6x + 2 = 0
As the equation is written in the form ax² + bx + c = 0
a = 3 , b = -6 , c = 2
Put all the values in the above equation
Thus
Therefore the roots of the quadratic equation are , .
graph the line with slope -1/3 passing through the point (5,-4)
Answer:
Look at the image !!
Step-by-step explanation:
I hope this helps :D
What is the slope of the line through the points (4, -7) and (9, 2)?
the answer
y/x so its 9/5
Helpppppppppppppppppppppp
Answer:
20
Step-by-step explanation:
(2x)° + (2x)° + (6x - 20)° = 180°
10x = 200
x = 20
What is the value of x?
Enter
X :
(Look at the photo)
Answer:
x = 20
Step-by-step explanation:
Each line creates a 180° angle on each side of it. Since these lines intersect, they have congruent angles. This means that these two quantities can be set equal to each other.
3x + 50 = 6x - 10
Solve by combining like-terms and isolating x. Move the 3x to the right by subtracting it from both sides.
50 = 3x - 10
Move the 10 to the left by adding it to both sides.
60 = 3x
Divide the 3 from both sides to isolate the x.
x = 20
Furthermore, this can be checked by plugging in 20 to x and seeing if the expression is true.
3(20) + 50 = 6(20) - 10
110 = 110
What would Hope be attempting to find if she writes d(4) = 78(4)?
Answer:
d=78
Step-by-step explanation:
so you would divide both sides of the equation by 2×2
d×4÷(2×2)=78×4÷(2×2) <- you would do this to get rid of 4 so you cna get the d alone
d=78×4÷(2×2) <- thats the other side of the equation btw
then it would be:
d=39×2
d=78
What is the measurement of angle B*
A
112
с
51
What number comes after quintillion?
Answer:
1 quintillion and 1.
Step-by-step explanation:
This is the number written out:
1000000000000000001
Suppose there are 100 trout in a lake and the yearly growth factor for the populations is 1.5. Write the exponential equation for this population.
355+480 is the same as 335+ ?
Answer:
355+480 is the same as 335+500
Step-by-step explanation:
355+480=835
835-335=500
∴355+480 is the same as 335+500
33s^5t^4u^8 ÷ 11st^3u^8
Answer:
[tex]3s^{4}t\\[/tex]
Step-by-step explanation:
Buna sunt sexii sigZaghahahahah
Answer:
HIIIII GVJJHGNKJMJNNJ SEXIIIJBH
Step-by-step explanation:
Answer: Hi there are sex11 sigZaghahahahah
Step-by-step explanation: What????????
Which symbol goes in the box to make this number sentence true?
6x _x + x +
+x+x
Answer:
The right answer is = so C ig
The figure has an area of 182 cm
Which equation can be used to find the
value of r?
A 18r + (14)(r) = 182
B 18r + -(14)(r) = 182
C 18r - -(14)(r) = 182
D 18r - (32)(r) = 182
Answer:
[tex]18r+\frac{1}{2}(14)(r)=182[/tex]
Step-by-step explanation:
Area of the composite figure ABCDE = Area of triangle ABE + Area of the rectangle BCDE
Area of triangle ABE = [tex]\frac{1}{2}(32-18)(r)[/tex]
= [tex]\frac{1}{2}(14)(r)[/tex]
Area of rectangle BCDE = 18 × r
= 18r
Total Area = [tex]\frac{1}{2}(14)r+18r[/tex]
Therefore, equation to get the value of 'r' will be,
[tex]18r+\frac{1}{2}(14)(r)=182[/tex]