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Zepler [3.9K]
3 years ago
10

How can ΔABC be mapped to ΔXYZ?

Mathematics
2 answers:
Fynjy0 [20]3 years ago
3 0

Answer:

Vertex B to vertex Y

Step-by-step explanation:

The diagram shows two triangles ABC and XYZ. These triangles are congruent by SAS postulate, because

  • AB = XY = 25 cm;
  • AC = XZ = 29 cm;
  • ∠A = ∠X = 36°.

Congruent triangles have congruent corresponding sides and angles, so translation and rotation must be completed such that

  • vertex A coincides with vertex X;
  • vertex B coincides with vertex Y;
  • vertex C coincides with vertex Z.

So, first, translate vertex B to vertex Y. Next, rotate ΔABC about B to align the sides and angles.

Anastaziya [24]3 years ago
3 0

Answer:

Here is the correct answer

Step-by-step explanation:

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Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the
Mamont248 [21]
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8 0
3 years ago
12/19*.............................= -12/19
melamori03 [73]

Answer:

\frac{12}{19} \times \underline{\bold{-1}} = -\frac{12}{19}

Step-by-step explanation:

\frac{12}{19} \times ..... = -\frac{12}{19}

= \frac{\frac{12}{19}}{-\frac{12}{19}}

= \frac{12}{19} \times -\frac{19}{12}

= -\frac{228}{228}

= \bold{-1}

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3 0
3 years ago
Determine the center and radius of the following circle equation: x^2+y^2+20x+8y+35=0
natta225 [31]

Answer:

center: (-10,-4)

radius: 9

Step-by-step explanation:

Let's start off by moving the 35 to the other side and grouping the x and y terms we have

(x²+20x)+(y²+8y)= -35

Next we take the term with the x coeficcent, divide it by 2, and square it

so

for the x we would do (20/2)²=100

and make sure we add that to the 35

(x²+20x+100)+(y²+8y+16)= -35+100+16

next factor everythign to get

(x+10)²+(y+4)²=81

therefore the center is (-10,-4)

and the radius is √81 or 9

4 0
3 years ago
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