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Elden [556K]
2 years ago
7

A preimage includes a line segment with a length of x units and a slope of m units. The preimage is dilated by a scale factor of

n. The length of the corresponding line segment in the image is (x, or nx) units. The slope of the corresponding line segment in the image is (m, or nm) .
Mathematics
2 answers:
lapo4ka [179]2 years ago
8 0
Nx is the first one  and m is the second answer
Anastasy [175]2 years ago
7 0

Answer:

Slope becomes m

length becomes nx

Step-by-step explanation:

Slope:

We know that

slope is the ratio of change in y-value and change in x-value

so, dilation do not change slope of any line

so, after dilation

m---->m

Length of line:

we know that

A dilation has the effect of stretching or shrinking the line segment by the factor of m units

we are given

length of line =x

so, it's length will become

=n\times x

=nx

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circle o is inscribed in triangle rst such that it is tangent at points m,n, and p. if rp is 7, rt is 17 and sm is 5, then what
zloy xaker [14]

Answer:

The length of side st is 15.

Step-by-step explanation:

A tangent is a straigth line that touches a circle externally at a point on the circumference. Considering one of its properties that tangents from the same point to a fixed point outside a circle are equal.

Then,

     /rn/ = /rp/

    /tm/ = /tn/

   /sm/ = /sp/

But, /rp/ = 7, /rt/ = 17 and /sm/ = 5.

Then,

 /rt/ = /rn/ + /tn/

17 = 7 + /tn/ (∵ /rp/ = /rn/ = 7)

⇒ /tn/ = 10

Since /nt/ = 10, then /tm/ = 10 (/tm/ = /nt/)

So that,

 /st/ = /sm/ + /tm/

     = 5 +10

 /st/ = 15

The length of side st is 15.

7 0
2 years ago
Determine if the statement is true or false:
erma4kov [3.2K]

Answer:

Step-by-step explanation:

given are four statements and we have to find whether true or false.

.1 If two matrices are equivalent, then one can be transformed into the other with a sequence of elementary row operations.

True  

2.Different sequences of row operations can lead to different echelon forms for the same matrix.

True in whatever way we do the reduced form would be equivalent matrices

3.Different sequences of row operations can lead to different reduced echelon forms for the same matrix.

False the resulting matrices would be equivalent.

4.If a linear system has four equations and seven variables, then it must have infinitely many solutions.

True, because variables are more than equations.  So parametric solutions infinite only is possible

8 0
1 year ago
Which equation can be used to solve for c? Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 35 degrees. The
aliina [53]

Answer:

The correct option is B) c=\frac{5}{\cos35^0}.

Step-by-step explanation:

Consider the provided information.

Angle A C B is 90 degrees and angle A B C is 35 degrees.

The required figure is shown below:

We need to find the value of c.

Use the trigonometric function: \cos\theta=\frac{Adjacent}{Hypotenuse}

\cos35^0=\frac{5}{c}

c=\frac{5}{\cos35^0}

Hence, the correct option is B) c=\frac{5}{\cos35^0}.

4 0
2 years ago
Read 2 more answers
Find the square root of 403225 by long division method.
Juli2301 [7.4K]

Answer:

635 is the answer hope this help please give me Brainliest anwer

Step-by-step explanation:

5 0
2 years ago
The percent decrease from 12 to 9 is equal to the percent decrease from 40 to what number
Zina [86]
(12 - 9) / 12 = (40 - x) / 40
3/12 = (40 - x) / 40
40(1/4) = 40 - x
10 = 40 - x
10 - 40 = -x
-30 = -x
30 = x <=== percent decrease from 40 to 30
8 0
1 year ago
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