Answer:
$80 was on the gift card to begin with
Step-by-step explanation:
Let the initial money be x
Peter spent (1/2)*x
Peter added 10
<em>Before adding more money on the gift card Peter had x -(1/2)x left on the gift card which is (1/2)x</em>
<em>After loading more money Peter had (1/2)x + 10</em>
(1/2)x = 40 <em>(money spent by Peter)</em>
x/2 = 40
x = 80
X axis : -t1 cos 60 + t2 cos 60 = 0
t2 cos 60 = t1 cos 60 ; t2 = t1
Y axis : t1 sin 60 + t2 sin 60 - 150 = 0
since t2 = t1
2t1 sin 60 = 150
t1 ( sqrt(3)/2) = 150/2
t1 = 50 [sqrt(3)]
t2 = 50 [sqrt(3)]
t3 = 150 N
hope this helps
A ton is equivalent to 1000 pounds so:
the elephant weighs 5000 pounds
5000-570= 4430
The elephants weighs 4430 pounds more.
Answer: 9 remainder 2
Explanation: 9 is the closest 6 can get to 56 without going over. Since 9•6=54, and 56-54=2 , 2 is the remainder.
Problem 23
A = 40
B = 3x+1
C = 3x+1
B and C are congruent, so they have the same angle measure
The three angles of any triangle add to 180 degrees
A+B+C = 180
40+(3x+1)+(3x+1) = 180
6x+42 = 180
6x = 180-42
6x = 138
x = 138/6
x = 23
Answer: B) 23
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Problem 24
AB is the midsegment parallel to XY
So AB is half that of XY
AB = (1/2)*XY
AB = (1/2)*28
AB = 14
Answer: B) 14
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Problem 25
Note the ratio of the given rectangle's sides: 7/12 = 0.583 roughly
Divide the answer choices in a similar fashion
A) 5/7 = 0.714
B) 14/36 = 0.389
C) 21/36 = 0.583
D) 21/48 = 0.4375
We get the same result in choice C as we did in the original rectangle
Answer: C) 21 ft x 36 ft
