Answer:
X=38 ANS. FOR THE LARGER NUMBER.
Y=20 ANS. FOR THE SMALLER NUMBER.
Step-by-step explanation:
38+Y=58
Y=58-38
38-20=18
18=18
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: she biked 0.8 hour each day
Step-by-step explanation:
Let x represent the number of hours that she jogged on both days.
Let y represent the number of hours that she biked on both days.
Distance = speed × time
On the first day, she jogs at a rate of 6 miles/hour and bikes at a rate of 10 miles/hour. She covers a total of 26 miles that day. This is expressed as
6x + 10y = 26- - - - - - - - - - - - - - - 1
The second day, she continues to jog at a rate of 6 miles/hour, but a hamstring pull slows her biking rate to 5 miles/hour. The second day she covers a total of 22 miles. This means that
6x + 5y = 22- - - - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
5y = 4
y = 4/5 = 0.8
Substituting y = 0.8 into equation 1, it becomes
6x + 10(0.8) = 26
6x + 8 = 26
6x = 26 - 8 = 18
x = 18/6
x = 3
Answer:
The square.
Step-by-step explanation:
perimeter is found by add ing all sides, so 3+3+3+3= 12 while 3+3+2+2= 10
Answer:
bc
Step-by-step explanation:
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