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3 years ago

Find the length of AB. A. 2 B. 6 C. 21 D. 31

Mathematics

1 answer:

Allushta [10]3 years ago

4 0

<u>Answer </u>

AB=21

<u>Solution </u>

In the triangle ABC two lines are parallel to side AC.In a triangle a line passing through two side and it is parallel to third side,then this line divides two side in equal ratio.

Here we take any of the parallel line, passing through AB and AC, and parallel to BC.

So we can write, $\\$ $\frac{ 6x+2x+1}{2x}$ = $\frac{18+7.5}{6}$

8x+1=6x+2.5x

x=1/0.5

x=2

Therefore AB = 6x+2x+1+2x =10x+1=21

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3 years ago

Given b(x) = X+41, what is b(-10)?

spin [16.1K]

Answer:

b(10) = 31

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3 years ago

Math-- Farmer Bill has 500 meters of fencing and wants to enclose a rectangular plot that borders on a river. If farmer Bill doe

bixtya [17]

Answer:

Required dimensions of the rectangle are L = 200 m, W = 100 m

The largest area that can be enclosed is 20,000 sq m.

Step-by-step explanation:

The available length of the fencing = 500 m

Now, Perimeter of a rectangle = SUM OF ALL SIDES = 2(L+B)

But, here once side of the rectangle is NOT FENCED.

So, the required perimeter

= Perimeter of Complete field - Boundary of 1 open side

= 2(L+ W) - L = 2W + L

Now, fencing is given as 500 m

⇒ 2W + L = 500

Now, to maximize the length and width:

put L = 200, W = 100

we get 2(W) +L = 2(200) + 100 = 500 m

Hence, required dimensions of the rectangle are L = 200 m, W = 100 m

The maximized area = Length x Width

= 200 m x 100 m = 20, 000 sq m

Hence, the largest area that can be enclosed is 20,000 sq m.

6 0

2 years ago

PLEASEEEEE help!!!!!!!!!!!!

Yuliya22 [10]

Answer:

2st

Step-by-step explanation:

because only 34 can be divided by 17 and there arent enough of s and ts

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2 years ago

Which transformation preserves only angle measurement? Why is it not considered to be a rigid transformation?

Sati [7]

A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. In a rigid transformation the pre-image and image are congruent (have the same shape and sizes).

A. A dilation is a transformation that produces an image that is the same shape as the original, but is a different size (not an isometry). Forms similar figures or in other words preserves only angle measurement and ratio between sides lengths. In simple words, dilation means, it just resizes the given figure without rotating or anything else. It is not rigid transformation.

B. A rotation is a transformation in which the object is rotated about a fixed point. The direction of rotation can be clockwise or anticlockwise. Rotation is rigid transformation, it means that rotation preserves sides lengths.

C. In a reflection transformation, all the points of an object are reflected or flipped on a line called the axis of reflection. Under reflection, the shape and size of an image is exactly the same as the original figure. This type of transformation is rigid.

D. In a translation transformation all the points in the object are moved in a straight line in the same direction. The size, the shape and the orientation of the image are the same as that of the original object. Same orientation means that the object and image are facing the same direction. This type of transformation is rigid.

Answer: correct choice is A.

3 0

3 years ago

Read 2 more answers