The points M(-7,2), N(-3,4), O(-5,8)M(−7,2),N(−3,4),O(−5,8), and P(-9,6)P(−9,6) form a quadrilateral. Find the desired slopes an
pochemuha
The slope of line PO and MN is 0.5. And the slope of the line ON and MP is negative 2. Then each length of the quadrilateral is 4.47 units.
<h3>What is a quadrilateral?</h3>
It is a quadrilateral with four sides. The total interior angle is 360 degrees.
The points M(−7,2), N(−3,4), O(−5,8), and P(−9,6) form a quadrilateral.
Then the slope of each line of the quadrilateral will be
The slope of the line PO will be
PO = (8-6)/(-5+9)
PO = 2/4
PO = 0.5
The slope of the line ON will be
ON = (8-4)/(-5+3)
ON = 4/(-2)
ON = -2
The slope of the line MN will be
MN = (4-2)/(-3+7)
MN = 2/4
MN = 0.5
The slope of the line MP will be
MP = (6-2)/(-9+7)
MP = 4/(-2)
MP = -2
Then each length of the quadrilateral will be
The length of PO will be
PO = √[(-9+5)² + (6-8)²]
PO = 4.47
The length of ON will be
ON = √[(-5+3)² + (8-4)²]
ON = 4.47
The length of MN will be
MN = √[(-3+7)² + (4-2)²]
MN = 4.47
The length of MP will be
MP = √[(-9+7)² + (6-2)²]
MP = 4.47
More about the quadrilateral link is given below.
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Answer:
hours.
Step-by-step explanation:
We have been given that a chemical spill is leaking into a river flowing 2 3/4 miles per hour.
To find the time taken by chemical to reach the town we will divide distance of town from the spill by distance covered by chemical spill in one hour.
Upon converting our mixed fractions into improper fractions we will get,
Dividing a fraction with another fraction is same as multiplying first fraction by the reciprocal of second fraction.
After cancelling out 4 we will get,
Therefore, it will take the chemicals hours to reach the town.
5.09 because 2 is less then 5 so you round down
Ok assuming that when he buys the fabric, he cuts pieces off to make it fit, but doesn't sow them in other places to make up the lost area
so
first find the area of tablecloth he needs to buy
area=pir^2
diameter=32
d=2r
r=d/2
r=32/2=16
adds 5 inches extra
16+5=21
r=21
area of cloth=pi21^2
are of cloth=441pi
aprox pi=3.14
area=441 tmes 3.14
area=1384.74
buys cloth with width of 50 and legnth of x
so we need 2 things
1. area of cloth bought>area of tablecloth
2. legnth &width must both be greater or equal to the diameter of the tablecloth (so we can make a circle fit)
new diameter=32+5+5=42 (2 sides)
so
l and w must both be greater than or equal to 42
50l>1384.74
divide both sides by 50 to find legnth
l>27.6948
but the legnth must be also greater than or equal to 42
so make l=42 for min legnth
area of cloth bought=lw=42 by 50=42 times 50=2100
so we do
area wasted=area bought-area needed
area needed=area of tablecloth=1384.74
area bought=2100
area wasted=2100-1384.74
area wasted=715.26 in^2
answer is wasted area=715.26 square inches
Given that:
In ∆AMN and ∆TPE
MA = PE (Side )
∠AMN = ∠TPE (angle)
MN = PT (Side)
By SAS Property
∆ MAN =~ ∆ PET
∆ MAN =~ ∆ PET are congruent triangles .
<u>Answer:-</u> ∆ MAN =~ ∆ PET
<em>Additional</em><em> comment</em><em>:</em>
SAS Property:-
In two triangles , The two sides and the included angle are equal to the corresponding two sides and the included angle of the second triangle then they are congruent and this property is called Side-Angle-Side (SAS) Property.
<u>a</u><u>lso </u><u>read</u><u> similar</u><u> questions</u><u>:</u> I don't understand proof on geometry. How do you prove something that is given?
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Geometry Proof: Given: ∠1 ≅ ∠2 ∠3 ≅ ∠4 Prove: M is the midpoint of JK
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