13. Four observations:
1. m<SWT = 90° (given)
2. QW = TW (given)
3. m<RWS = m<UWV (vertical angle pair)
4. m<RWU = 180° (straight angle)
He must run around the track 20 times to run 5 miles.
Answer: 800 feet²
Step-by-step explanation:
Lets remove the brackets from the function's expression
A(x) = -2x²+80x
So we got the quadratic function and we have to find the x that corresponds to function's maximum. Let it be X max
As we know Xmax= (X1+X2)/2 , where X1 and X2 are the roots of the function A(x)
Lets find X1 and X2
x(80-2x)=0
x1=0 80-2*X2=0
x2=40
So Xmax= (0+40)/2=20
So Amax= A(20)= 20*(80-2*20)=20*40=800 feet²
Answer:
Step-by-step explanation:
A parallelogram is a quadrilateral with four sides.
Given parallelogram ABCD, to prove that opposite sides of the parallelogram are congruent.
Join D to B, the diagonal of the parallelogram which is also a traversal.
So that;
<ABD = <BDC (alternate angle property)
<BAC = <ACD (alternate angle property)
Also, diagonals;
/AC/ = /BD/ (reflexive property)
Then;
ΔABD = ΔCBD (Angle-Side-Angle, ASA, property)
Thus;
/AB/ ≅ /CD/ (corresponding sides of congruent triangles are congruent)
/BC/ ≅ /AD/ (corresponding sides of congruent triangles are congruent)
Therefore, the opposite sides of the parallelogram ABCD are congruent.
Answer: 4
Step-by-step explanation: Length times width times height so you have to do 12 divided by 3 and you get 4
