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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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Factor x^3-x^2-17x+15
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Hope this helps. It may not be 100% correct but just double check with a parent or with a teacher

6 0
3 years ago
What’s the difference between 6.2 X 10-4 and 8.7 X 10-6? Using standard notation or scientific notation
IRISSAK [1]

Answer:23

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8 0
2 years ago
Ten less than 5 times the value of a number is equal to 10 times the quantity of
grandymaker [24]

Answer:

52

Step-by-step explanation:

given that the number is a

The expression for Ten less than 5 times the value of a number is given by

5a - 10

10 times the quantity of  12 more than one-fourth of the number.

a/4 is one-fourth  of number

12 more than one-fourth of the number

a/4 + 12

expression for  10 times the quantity of  12 more than one-fourth of the number. is given by

10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120

Given that the above two expression are equal

equating them we have

5a - 10 = 2.5a + 120

adding 10 both sides

=>5a - 10+ 10  = 2.5a + 120 + 10

=> 5a = 2.5a + 130

subtracting 2.5a from both sides

=> 5a - 2.5a = 2.5a + 130 - 2.5a

=> 2.5a = 130

dividing both side by 2.5

=> a = 130/2.5 = 52

Thus, value of a is 52

5 0
3 years ago
The graph of a polynomial is shown below. Between which two x-values does this polynomial have an extreme value?
stiv31 [10]

Answer:

C.-3 to -2

Step-by-step explanation:

From the picture attached, it can be seen that an extreme value, that is, a maximum of the polynomial is found between x = -3 and x = -2. In this extreme point, the polynomial has an approximate value of 4.5

7 0
3 years ago
(-2x+y=8) minus (5x-y=6)
Hitman42 [59]

Answer:-7x+2y=2

Step-by-step explanation:

(-2x+y=8)-(5x-y=6)

(-2x+y=8)> this side change since it’s negative

(-2x+y=8) - (-5x+y=-6)

-7x+2y=2

6 0
3 years ago
Read 2 more answers
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