Juan's least integer scores in both tests will be 85 and 100 respectively.
- Test average of his two scores is atleast 92
Let :
- Score on test 1 = b
- Score on test 2 = b + 15
Average score can be related thus:
- (Sum of score ÷ number of test) ≥ 92
- (b + b + 15) ÷ 2 ≥ 92
- (2b + 15) ÷ 2 = 92
- 2b + 15 = 184
- 2b = 184 - 15
- 2b = 169
- b = 169 ÷ 2
- b = 84.5
Therefore, since both scores are integers, his least scores on both tests will be ::
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Here's the solution,
The given triangle is a right angled triangle,
So, by Using Trigonometry :
=》

=》

=》

=》

hence, value of x = 6.5 units
Firstly, we need to draw triangle
we know that
O is a centroid
and centroid divides median into 2:1
so,

we have FO=4
so, we can plug it


now, we can find CF
CF=OC+FO
CF=8+4
CF=12
now, we can see triangle ACF is a right angled triangle
so, we can use pythagoras theorem

now, we can solve for x



Since, it is equilateral triangle
so,

we know that
E is a mid-point
so,

now, we can plug values

................Answer
Answer:
1) 5/6
2) 7/10
3) 3 1/8
4) 3 2/7
5) 1 8/9
Step-by-step explanation: