1. 3*3 + 3*8 = 9+24=33
2. 4*4+.5*2*4+5*5= 16+4+25=45
3. 5*10+4*10= 90
4. 24+.5*4*4 = 32
Answer:
(-3/2, 6)
Step-by-step explanation:
(-3,8) (6,-4)
As we move along the line segment with endpoints (-3,8) and (6,-4) from (-3,8) to (6,-4) x increases by 9 units (from -3 to 6) and y decreases by -12 units (from 8 to -4).
for ratio of 1:5
Since 1+5=6, the point we are looking for is 1/6 of the way from (-3,8) to (6,-4).
So, the desired point is
(-3 + (1/6)(9), 8 - (1/6)(12) )
= (-3 + 3/2 , 8 - 2)
= ( (-6 + 3)/2, 6)
= (-3/2, 6)
for map reference see the image below
Answer: I think you would spend $84.10 but I can’t be sure because I don’t know how many gallons of gas your tank holds
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
(12-9)(8)/2=12
Answer:
Step-by-step explanation:
Given: Kite WXYZ
Prove: That at least one of the diagonals of a kite decomposes the kite into 2 congruent triangles.
A diagonal is a straight line from one vertex to another of a given shape or figure.
Considering diagonal WY of the kite,
<WYZ ≅ <WYX (diagonal WY is the bisector of <Y)
<ZWY ≅ <XWY (diagonal YW is the bisector of <W)
WZ ≅ WX (congruent property)
YZ ≅ YX (congruent property)
Thus,
ΔWYZ ≅ ΔWYX (Angle-side-Angle congruent property)
Therefore, the given kite can be decompose into 2 congruent triangles (ΔWYZ and ΔWYX).