A translation of triangle XYZ is triangle B shifted by 7 units to left.
Given that, triangle XYZ (2, 4), (5, 5) and (3, 0).
<h3>What is translation?</h3>
A translation moves a shape up, down or from side to side but it does not change its appearance in any other way. Translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated the same distance in the same direction.
We can see from given figure ΔXYZ and the triangle B are alike.
From ΔXYZ translated to triangle B by 7 units left.
Therefore, a translation of triangle XYZ is triangle B shifted by 7 units to left.
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Answer:
-1
Step-by-step explanation:
parallel lines always have the same slope
She can spend 6 nights counting she didnt pay for a round trip(meaning back and forth)
150 times2=300
<span>500 euros =</span>$706.14
300-706.14=406.14
406.14 divided by 60= 6.769
Answer:
yes
Step-by-step explanation:
hope this helps
It will take 39.3 years for the balance of this account to reach $5000
Step-by-step explanation:
Formula for time (t)
t = ![\frac{ln(\frac{A}{P})}{n[ln(1+\frac{r}{n})]}](https://tex.z-dn.net/?f=%5Cfrac%7Bln%28%5Cfrac%7BA%7D%7BP%7D%29%7D%7Bn%5Bln%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5D%7D)
Where:
1. A = the value of the accrued investment/loan
2. P = the principal amount
3. r = the annual interest rate (decimal)
4. n = the number of times that interest is compounded per unit t
5. t = the time the money is invested or borrowed
∵ Olga invests $3000 in an account that earns 1.3% annual interest
compounded monthly
∴ P = $3000
∴ r = 1.3% = 1.3 ÷ 100 = 0.013 ⇒ annual interest
∴ n = 12 ⇒ compounded monthly
∵ The account will reach $5000
∴ A = 5000
- Substitute these values in the rule above
∴ t = ![\frac{ln(\frac{5000}{3000})}{12[ln(1+\frac{0.013}{12})]}](https://tex.z-dn.net/?f=%5Cfrac%7Bln%28%5Cfrac%7B5000%7D%7B3000%7D%29%7D%7B12%5Bln%281%2B%5Cfrac%7B0.013%7D%7B12%7D%29%5D%7D)
∴ t = 39.3 years
It will take 39.3 years for the balance of this account to reach $5000
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