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3 years ago

What are 2 ratios that are equivalent to 3:5

Mathematics

1 answer:

Degger [83]3 years ago

4 0

Answer:

The given ratios 3: 5 and 15: 25 are equal.

Step-by-step explanation:

Because when you divide the ratio 15: 25 by 5 on both numerator and denominator, the first ratio 3: 5 can be obtained. Similarly, when you multiply the first ratio 3: 5 by 5, the ratio 15: 25 can be obtained.

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What do rhombuses always have

melamori03 [73]

Answer:

A, B, and D

Step-by-step explanation:

5 0

3 years ago

After a glide reflection, the point x is mapped to the point x' (3,-2). The translation part of the glide reflection is (x,y) -&

Umnica [9.8K]

The coordinates of the original point x, can be obtained by reversing the given transformations individually

The coordinates of the original point x is $\underline{(0, \, 0)}$

Reason:

The type of reflection = Glide reflection

Coordinates of the image of the point x = x'(3, -2)

The translation part of the glide reflection is (x, y) → (x + 3, y)

The line of reflection is y = -1

The coordinates of the original point = Required

Solution:

A glide reflection is also known as a transflection, that involves a symmetric composite transformation of a reflection followed by a translation along the line of reflection

Reflection part;

The distance of the image point from the reflecting line = The object's

point distance from the reflecting line

Therefore, given that the reflecting line is the line y = -1, and the image

point is x'(3, -2), we have;

Distance of image from reflecting line =-1 - (-2) = 1

∴ Distance of object point from reflecting line = 1

y-coordinate of object point = -1 + 1 = 0

Point of image of the object before reflection and after translation = (3, 0)

Translation part;

The translation of the glide reflection is (x, y) → (x + 3, y)

Therefore, the location of the object before translation is ((x + 3) - 3, y), which from the point (3, 0) gives, ;

((3) - 3, 0) → (0, 0)

The coordinates of the original point x is $\underline{(0, \, 0)}$

Learn more here:

brainly.com/question/12890981

8 0

2 years ago

Imagine you are teaching a younger student how to factor. Describe in full sentences what you would say to teach the young stude

djyliett [7]

Answer:

$x^2+ 4x - 21$ =(x-3)(x+7)

Step-by-step explanation:

To factor the trimonial: $x^2+ 4x - 21$ , we follow these steps:

Step 1: Multiply the first and last term

$-21 \times x^2=-21x^2$

Step 2: List out product factors of the term derived above

$-21=-1 \times 21\\ -21=-3 \times 7\\-21=3 \times -7\\-21=1 \times -21$

Step 3: Determine which of the factors sum up to the middle term 4x

The required product is: -3 and 7

Therefore: -3x+7x=4x

Step 4: Replace the middle term by the expression derived in step 3 and factorize.

$x^2+ 7x -3x- 21\\=x(x+7)-3(x+7)\\=(x-3)(x+7)$

3 0

3 years ago

John bought a used truck for $4,500. He made an agreement with the dealer to put $1,500 down and make payments of $350 for the n

musickatia [10]

Answer:

(D) 36%

Step-by-step explanation:

Actual cost of truck = $4500

Down payment = $1500

Money left to be paid = 4500-1500 = $3000

A = Monthly payments = 350

n = 10

Principal value (P) = 3000

Using formula,

A= $\frac{Pr(1+r)^{n}}{(1+r)^{n}-1}$

350 = $\frac{3000r(1+r)^{10}}{(1+r)^{10}-1}$

= 36% (approx)

Hence (D) is correct.

5 0

3 years ago

Tanelle is cutting out a paper banner as shown in the image. The entire piece of paper is 8 feet long and she is cutting a circl

Mrac [35]

Answer: 4.71

Step-by-step explanation:

4 0

2 years ago