Answer:
Range of A>Range of B
Step-by-step explanation:
Range=L-S
Range of A=70-1=69
Range of B=95-50=45
69>45
Range of A>Range of B
9. AM ≅ AT
10. x=3, y=5
AH being the perpendicular bisector of MT means MH ≅ TH. Then ΔAHM ≅ ΔAHT by SAS, and by CPCTC.
... SAS — side-angle-side: if two adjacent sides and the included angle of a triangle are congruent to their corresponding sides and angles in another triangle, the two triangles are congruent.
... CPCTC — Corresponding Parts of Congruent Triangles are Congruent
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Using the result of problem 9 as a guide, you can say that ...
... 2x = x+3 ⇒ . . . . (subtract x from both sides)
... y +4 = 2y -1 ⇒ . . . . (add 1-y to both sides)
Answer: x + 3x = 11
Step-by-step explanation:
Two cities A and B
Both cities receive 11 inches of rainfall in total
Amount of Rainfall in inches received by city A = x
Amount of Rainfall in inches received by city B = 3x
Therefore given the details above, total rainfall is best expressed using the equation ;
Rainfall in city A + Rainfall in city B = 11 inches
x + 3x = 11
Answer:
The number will be -63
Step-by-step explanation:
Here, we want to give the number of the chosen 25th student
We can see that the numbering follows an arithmetic sequence where a = 9 and d which is the common difference is (6-9) = -3
Mathematically, we can calculate the nth term using the equation below;
Tn = a + (n-1)d
in this case, n = 25, a = 9 and d = -3
So we have
Tn = 9 + (25-1)-3
Tn = 9 -3(24)
Tn = 9-72
Tn = -63
