Answer:
I think x=-25
Step-by-step explanation:
Step-by-step explanation:
Pathagory and Theorem
a^2+b^2=c^2
(x-3)^2+(x-4)^2=6^2
expand:
2x^2-14x+25=36
2x^2-14x-11=0
x=(\sqrt{71}+7)/2
perimeter=(x-3)+(x-4)+6=2x-1
insert the value for x into 2x-1
+6=perimeter
Hope that helps :)
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
There are 8008 groups in total, in other to drive the children
<h3>How to determine the number of groups?</h3>
From the question, we have
- Total number of children, n = 16
- Numbers to children at once, r = 6
The number of group of children that could be carried at once is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 16 and r = 6
Substitute the known values in the above equation
Total = ¹⁶C₆
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 16!/10!6!
Evaluate
Total = 8008
Hence, the number of groups is 8008
Read more about combination at
brainly.com/question/11732255
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