Answer:
XY = 16
Step-by-step explanation:
The ratio is 3 to 2 meaning that the sides of the triangle ABC and triangle AYY are in a ratio of 3 to 2. You are comparing the big triangle to the small triangle and the sides are compared the same way.
3:2 = 24:XY
3/2 = 24/XY
3 XY = 48
XY = 48/3
XY = 16
To answer the question above, simplify both sides of the equation. This gives,
8x - 3 = 8x + 14
Next, cancel the term 8x because it appears on both sides of the equation giving,
-3 = 14
That is NOT true. Therefore, the answer is the equation is NEVER TRUE.
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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