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3 years ago

Need help on this one

Mathematics

1 answer:

dsp733 years ago

5 0

The value of x is 21 ft.

Solution:

The given image is a triangle.

In ΔABC, GH is the mid-segment.

Given GB = 21 ft and AG = x ft

<u>To find the value of x:</u>

Since GH is the mid-segment of triangle ABC,

G is the mid point of the line segment AB.

By mid point definition,

AG = GB

AG = 21 ft

x = 21 ft

Option B is the correct answer.

The value of x is 21 ft.

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Choose the ratio that you would use to convert 6.1 hours to minutes.

lutik1710 [3]

Answer:

Step-by-step explanation:

Let the number of minutes in 6.1 hours be x. Remember that there are 60 minutes in one hour. Therefore,

If 60 minutes = 1 hour,

Then

x minutes = 6.1 hours

Cross multiplying, it becomes

x × 1 = 6.1 × 60 minutes

x = 6.1 × 60 minutes/1

Therefore, the correct ratio with which 6.1 hours would be multiplied is

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3 years ago

One side of trapezoid is 10 inches. The side parallel to this is twice as long as this side. The height is half as long as the g

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Katie leans a 12-inch ruler against a stack of books that is 7 inches high. The ruler leans in such a way that the tip of the ru

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3 years ago

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BabaBlast [244]

Answer:

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2 years ago

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Write functions for each of the following transformations using function notation. Choose a different letter to represent each f

joja [24]

Answer:

1. Translation: g(x) = f(x-a)+b.

2. Reflection around y-axis: h(x) = f(-x)

3. Reflection around x-axis: k(x) = -f(x)

4. Rotation of 90° : $R_{90} (x,y)=(-y,x)$

5. Rotation of 180° : $R_{180} (x,y)=(-x,-y)$ .

6. Rotation of 270° : $R_{180} (x,y)=(y,-x)$ .

Step-by-step explanation:

Let us assume that the transformations namely translation, reflection are applied to a function f(x) and the rotation is applied to the point ( x,y ).

So, according to the options:

We know that 'translation moves the image in horizontal and vertical direction'.

1. As we have to translate the function f(x) 'a' units to the right and 'b' units up. So, the new form of the function becomes g(x) = f(x-a)+b.

Further, we know that 'reflection means to flip the image around a line'.

2. As, we have to reflect the function f(x) around y-axis. The new form of the function is h(x) = f(-x).

3. As, we have to reflect the function f(x) around x-axis. The new form of the function is k(x) = -f(x).

Since, 'rotation turns the image around a point to a certain degree'.

4. As, we have to rotate ( x,y ) counter-clockwise to 90° about the origin, the new form of the function is $R_{90} (x,y)=(-y,x)$ .

5. As, we have to rotate ( x,y ) counter-clockwise to 180° about the origin, the new form of the function is $R_{180} (x,y)=(-x,-y)$ .

6. As, we have to rotate ( x,y ) counter-clockwise to 270° about the origin, the new form of the function is $R_{180} (x,y)=(y,-x)$ .

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3 years ago