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andrew11 [14]
3 years ago
6

After a congruence transformation, how would the perimeter of the triangle be?

Mathematics
1 answer:
Lyrx [107]3 years ago
8 0
You forgot to put the picture
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Select the correct answer. What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 1? A. -0.21 B. 0.74 C. 1.35 D. 1.97
WARRIOR [948]

Given the:

ln(x + 6) - ln(2x - 1) = 1

Using the logarithm rule:

  • ln a - ln b = ln (a/b)
  • ln((x + 6) / (2x - 1)) = 1
  • ((x + 6) / (2x - 1)) = E ¹

We know,

  • e1 = ²'⁷²
  • ((x + 6) / (2x - 1)) ≈ 2.72

Simplifying we get,

  • (x + 6) = 2.72 (2x - 1)
  • x + 6 = 2.72 (2x) - 2.72 (1)
  • x + 6 = 5.44x - 2.72
  • 8.72 = 4.44x

By cross multiplication we get,

  • x = 8.72 / 4.44
  • x = 1.97

Therefore, the value of x is 1.97.

The correct option in the exercise ln (x + 6) - ln (2x - 1) = 1 is alternative "D".

7 0
2 years ago
Listed are the quantities of green grapes Martha bought for four months in the amount that she spent on them. In May, she bought
Firlakuza [10]

Answer:

It is in February that the unit price of grapes ($2.70 per pound of grapes) is the same as that of May.

Step-by-step explanation:

Complete Question

Select the correct month.

Listed are the quantities of green grapes Martha bought for four months and the amount that she spent on them. In May, she bought 2 pounds of grapes for $5.40, in which month was the unit price the same as it was in May?

January

2 pounds for $7.40

February

4 pounds for $10.80

March

5 pounds for $11.65

April

3 pounds for $7.50

Solution

In May, Martha bought 2 pounds of grapes for $5.40.

The unit price per pound = (5.40/2) = $2.70 per pound of grapes.

We can then do this for the months given to obtain which month in which the unit price is the same as it was in May?

For January

She bought 2 pounds of grapes for $7.40

Unit price per pound = (7.40/2) = $3.70 per pound of grapes.

For February

Martha bought 4 pounds of grapes for $10.80.

Unit price per pound = (10.80/4) = $2.70 per pound of grapes.

March

She bought 5 pounds of grapes for $11.65.

Unit price per pound = (11.65/5) = $2.33 per pound of grapes.

April

She bought 3 pounds of grapes for $7.50.

Unit price per pound = (7.50/3) = $2.50 per pound of grapes.

It is evident that it is in February that the unit price of grapes ($2.70 per pound of grapes) is the same as that of May.

Hope this Helps!!!

7 0
4 years ago
Read 2 more answers
Eve has 17,493 pony beads, 14,07 pearl beads, 8,037 shell beads, and 6,834 bugle beads. Yvette has 294,972 more beads than Eve.
Alex_Xolod [135]
The answer is 325743 please mark branliest  and give thanks if not i will report u
6 0
3 years ago
B is the midpoint of segment AC. Find the value of x if AB = 5x + 18 and AC = 9 + 13x
Mrrafil [7]

Answer:

27

Step-by-step explanation:

8 0
3 years ago
Consider f(x)=x+7 and g(x)=x^2-1 find (g of f)(x)
finlep [7]

Answer:

g(f(x))=x^2 + 14x + 48

Step-by-step explanation:

you insert (x+7) into every x in the g(x) equation, so g(x)=(x+7)^2 - 1. then you simplify it by doing (x+7)(x+7) which gets you x^2 + 14x + 49. then you subtract the 1 from the equation to get g(f(x))=x^2 + 14x + 48.

6 0
3 years ago
Read 2 more answers
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