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A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A prime has coordinates of (–0. 25, 0. 5) after the triangle has

babunello [35]

The true statements about the dilation are as follows;

The scale factor is One-eighth

The coordinates of the C prime are (0.75, 0.5).

The coordinates of B prime are (–0.25, 1).

Given

A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4).

If A prime has coordinates of (–0. 25, 0. 5) after the triangle has been dilated with a center of dilation about the origin.

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. If an object is transformed then all its points are also transformed. Types of transformation are reflection, dilation, rotation, and translation.

Dilation is the enlargement or reduction in the size of an object. If a point X(x, y) is dilated about the origin by a factor k, its new location is X'(kx, ky).

Triangle ABC with vertices at A(–2, 4), B(–2, 8), and C(6, 4) is dilated to give A'(-0.25, 0.5)

kA = A'

(-2k, 4k) = (-0.25, 0.5)

-2k = -0.25, hence k = 1/8

Therefore the scale factor is 1/8 (one- eight)

The new location of the vertices is B'(-0.25, 1), C'(0.75, 0.5)

To know more about Transformation click the link given below.

brainly.com/question/11709244

3 0

2 years ago

Which is the graph of x Greater-than-or-equal-to 98.6? A number line going from 95 to 103. A closed circle is at 98.6. Everythin

Afina-wow [57]

Answer:

The correct option is;

A. A number line that goes from 95 to 103. A closed circle is at 98.6. Everything to the right is shaded.

Step-by-step explanation:

To represent x greater-than-or-equal-to 98.6 on the number line we note that an open circle stands for either a less than or a greater than, while an open circle stands for either less than or equal to or greater than or equal to

The correct way to represent x greater than or equal to 98.6 on the number line, we indicate the point 98.6 with a closed circle and we shade everything in the region of the solution which is to the right of the closed circle

Therefore the correct option is A. A number line that goes from 95 to 103. A closed circle at is at 98.6. Everyting to the right is shaded.

4 0

3 years ago

The tree diagram shows he possible win/loss paths for a basketball team playing in a tournament. Harris High School loses 1 game

SpyIntel [72]

3 ways it could happen

3 0

3 years ago

HELLPPP????? PLEASEEEESSSS

Verdich [7]

Answer:

$\boxed{43.48 \, \%}$

Step-by-step explanation:

The formula for calculating percentage is

$\text{Percentage} = \dfrac{\text{Part }}{\text{Whole}} \times 100 \, \%$

The "part" is the number of single-shot espressos

The "whole" is the total number of espressos.

$\begin{array}{rcl}\text{Total espressos} & = & 46\\\text{-Single-shot espressos} & = & 26\\\text{Double-shot espressos} & = & 20\\\end{array}$

$\text{ \% Double-shot}=\dfrac{20}{46} \times 100 \, \% =\mathbf{43.48 \, \%}\\\\\boxed{\mathbf{43.48 \, \%}} \text{ of the espressos were double-shot}$

8 0

4 years ago

U.S. postal regulations require that a package can have a maximum combined length and girth (distance around) of 108 in. A shipp

Eduardwww [97]

Answer: The maximum length that can be used is 56 inches.

Step-by-step explanation:

Since we have given that

Width of package = 14 inch

Height of package = 12 inch

Let the length of package be 'l'.

Combined length and girth i.e. distance around = 108 inches.

So, According to question, we get that

$l+2(w+h)=108\\\\l+2(14+12)=108\\\\l+2\times 26=108\\\\l+52=108\\\\l=108-52\\\\l=56\ inches$

Hence, the maximum length that can be used is 56 inches.

4 0

3 years ago