Answer:13 over 20
13
20
=0.65
Step-by-step explanation:
The statement which would best describe the line segments drawn in relation to one another is " They are parallel and congruent " ⇒ 3rd answer
Step-by-step explanation:
In a translation,
- Every point of the object must be moved in the same direction.
- Every point of the object must be moved for the same distance.
- The lines drawn from each point to its image are parallel and congruent.
The rules of translation:
- If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y)
- If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y)
- If the point (x , y) translated vertically up by k units then its image is (x , y + k)
- If the point (x , y) translated vertically down by k units then its image is (x , y - k)
∵ Δ JOY is translated using the rule (x, y) → (x + 3, y - 2)
∵ Δ J'O'Y' is its image after translation
- That means each point move 3 units to right and 2 units town
∵ Line segment JJ' joins the vertex J by its image J'
∵ Line segment OO' joins the vertex O by its image O'
- The lines drawn from each point to its image are parallel
and congruent
∴ JJ' // OO'
∴ JJ' ≅ OO'
The statement which would best describe the line segments drawn in relation to one another is " They are parallel and congruent "
Learn more:
You can learn more about translation in brainly.com/question/2451812
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Answer:
7 years 11 months
Step-by-step explanation:
The future value formula for the value of a principal P invested at annual rate r compounded n times yearly for t years is ...
FV = P(1 +r/n)^(nt)
For the given numbers, we want to find t:
6000 = 3700(1 +.062/2)^(2t)
Dividing by 3700 and taking the logarithm, we get ...
6000/3700 = 1.031^(2t)
log(60/37) = 2t·log(1.031)
Dividing by the coefficient of t gives ...
t = log(60/37)/(2log(1.031)) ≈ 7.92 . . . . . years
It will take about 7 years 11 months for the investment to grow to $6000.
Answer:
1. (2,2)
2. (4,-2)
Step-by-step explanation:
Up and Down would refer to the Y coordinate while Left and Right would refer to the x coordinate. With this information we can determine that -1 up three units is 2 as -1 + 3=2, 5 left one unit is 4 and two down 4 is -2
When you are multiplying 2 numbers with exponents, you need to add the exponent. When you multiply an exponent with an exponent, you multiply them.
So,
(3^2 x 7^4) ^9
First multiply the base and add exponents = ( 21^6) ^9
= 21 ^6x9
21^54
The same rule applies for variables, just pretend there is an imaginary 1.
