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Complete Question
The lions and the tigers played a football game. The Lions scored three more than three times the number of points the Tigers scored. The total number of points scored by both teams is 31. How many points were scored by each team?
Answer:
The number of points scored by the Lions = 24
The number of points scored by the Tigers = 7
Step-by-step explanation:
Let the number of points scored by the lion = l
The number of points scored by the tiger = t
The Lions scored three more than three times the number of points the Tigers scored.
l = 3 + 3(t)
The total number of points scored by both teams is 31.
= l + t = 31
3 + 3t + t = 31
4t = 31 - 3
4t = 28
t = 28/4
t = 7 points
Note:
l + t = 31
I = 31 - t
l = 31 - 7
l = 24 points
The number of points scored by the Lions = 24
The number of points scored by the Tigers = 7
Answer:
Yes.
Step-by-step explanation:
They are similar by the AA (Angle-Angle) Similarity Theorem.
Angle P is congruent to Angle P,
and another angle congruency is <Q and <S OR <R and <T by the
Corresponding
Angle Congruency Theorem.
With two pairs of congruent angles, we can say that Triangle PQR and Triangle PST are similar by the AA Similarity Theorem.
Answer:
(a) The largest square side is 24 inches
(b) No. of pieces are 14
Step-by-step explanation:
As per the question:
The dimensions of the fabric are
(a)To calculate the side length of the largest square piece, we need to find the Greatest Common Factor (GCF) of the dimensions as:
Therefore,
The GCF of the dimensions =
Therefore, the largest side of a square that can be cut from the fabric is 24 inches.
(b) The no. of pieces of 24 inches that can be cut from the fabric can be given as:
No. of pieces =
No. of pieces = = 14