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joja [24]
3 years ago
15

Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has vertices

Mathematics
2 answers:
zmey [24]3 years ago
5 0
The rule is (x - 3, y - 3).
gavmur [86]3 years ago
5 0

Answer:

Rotation about 90° counter clockwise (x , y)  →→ ( -y, x ).

Step-by-step explanation:

Given  : Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has vertices  X'(–3, 1), Y'(0, 0), and Z'(–2, –1).

To find : Which rule describes the transformation.

Solution : We have given

vertices X(1, 3) →→ X'(–3, 1)

Y(0, 0) →→ Y'(0, 0),

Z(–1, 2) →→ Z'(–2, –1).

Here , we can see in each coordinates value of y become -x and x  become y.

(x , y)  →→ ( -y, x ) this the rule of rotation about 90° counter clockwise.

Therefore,  rotation about 90° counter clockwise (x , y)  →→ ( -y, x ).

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Find each missing measure.
Neporo4naja [7]

Answer:

m<A = 84

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Step-by-step explanation:

We can find the measure of Angle A by using the sum of interior angles of a triangle theorem.

48+48+A=180

96+A=180

A=84

We can then use the isosceles triangle similarity theorem and reason that since this is an isosceles triangle and one of the side lengths (AB) is 9, the other (AC) would also be 9.

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3 years ago
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In a genetic experiment involving flower color in phlox, a ratio of 3 blue-flowered plants to 1 whiteflowered plant was expected
aliya0001 [1]

Answer: The observed ratio is different from the expected ratio.

Step-by-step explanation:

Since we have given that

Expected ratio :

Ratio of blue flowered plants to white flowered plant = 3:1

Observed results:

Number of blue flowered plants = 35

Number of white flowered plants = 14

So, Ratio of blue flowered plants : white flowered plants

35:14\\\\=5:2

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Hence, the observed ratio is different from the expected ratio.

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3 years ago
Use the given information to write the standard equation of the circle​
Strike441 [17]

Answer:

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Step-by-step explanation:

8 0
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The equation of the graphed line in point-slope form is _______, and its equation in slope-intercept form is .
Ivenika [448]

Answer:

Point-slope form equation line

(y-3)=(-0.6)\times (x+2)

Slope-intercept form is:

y=-0.6x+1.8

Step-by-step explanation:

Point-slope form equation line passing through points (x_1,y_1)(x_2,y_2)

Slope = m  =\frac{y-2-y_1}{x_2-x_1}

slope-intercept form is:

y = mx +c

where : c = intercept of on axis

(y-y_1)=m\times (x-x_1)

Equation of line passing through (-2,3) and (3,0).

m=\frac{0-3}{3-(-2)}=-0.6

(y-3)=-0.6\times (x-(-2))

Point-slope form equation line

(y-3)=(-0.6)\times (x+2)

For slope-intercept form open the brackets of Point-slope form equation l:

y-3=-0.6x-1.2

So, the slope-intercept form is:

y=-0.6x+1.8

7 0
2 years ago
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