Step-by-step explanation:
in essence, these 2 points are the Hypotenuse of a right-angled triangle. the legs are the coordinate differences between the 2 points creating the 3rd point of that triangle at (-10, 7) : the x coordinate of one point, and the y coordinate of the other.
now, we are looking for the midpoint. this midpoint cuts the original line/hypotenuse in half creating a scaling factor of 1/2.
when we create now a similar triangle based on that "half- Hypotenuse", we need to use the same scaling factor also on the legs (the coordinate differences).
so, when we cut the coordinate differences also in half, we get the coordinates for the midpoint on the main line.
xm, ym are the coordinates of the midpoint.
xm = (x1 + x2)/2 = (-10-3)/2 = -13/2 = -6.5
ym = (y1 + y2)/2 = (-6+7)/2 = 1/2 = 0.5
so, the midpoint is (-6.5, 0.5)
Answer:
See below
Step-by-step explanation:
<u><em>Proof:</em></u>
<u><em>Statements </em></u> | <em><u>Reasons</u></em>
AD ≅ BC | Given
AD ║ BC | Given
AC ≅ AC | Reflexive Property
∠DAC ≅ ∠ACB | If 2 || lines are cut by a trans., the
| alternate interior ∠s are congruent.
ΔADC ≅ ΔBCA | S.A.S Postulate
BA ≅ DC | Corresponding sides of congruent Δs
So, quad. ABCD is a ║gm | If a quad. has its opposite sides
| congruent, the quad. is a parallelogram.
Answer: $713.7
Step-by-step explanation:
First, multiply the original price by the percentage ( In this case, 549 x .30)
Now your sum is $164.7 Add that to the original price and you get your answer.
To get 20% of something, you must divide it by 5 since 20*5=100
Anyway, since Jada's dog is 20% of it's adult weight, but currently weighing 9kg, we must multiply that by 5
9*5=45kg
Jada's dog's adult weight is 45kg
Hope it helped
Answer:
pi×4.5 ×4.5= 63.64 i hope this helped
