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elixir [45]
2 years ago
15

The triangles are congruent by the SSS congruence theorem.

Mathematics
1 answer:
Likurg_2 [28]2 years ago
6 0

Translation then Rotation or Rotation then Translation

We know that,

1. Rotation turns the figure around a point to a certain degree

2. Translation slides the figure in any direction

Now, it is given that the triangles BCD and WXY are congruent by the SSS Theorem.

<h3>What is the SSS Theorem?</h3>

The corresponding three sides of both triangles are equal.

So, the only possible ways for the triangles to be congruent are

I. If we first translate the figure BCD to the right and then rotate it counter-clockwise. i.e. Translation, then rotation.

II. If we first rotate the figure counter-clockwise and then translate the figure BCD to the right. i.e. Rotation, then translation.

Hence, either Translation then Rotation or Rotation then Translation maps BCD onto WXY.

To learn more about the rotation visit:

brainly.com/question/26249005

#SPJ1

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What does m equal? <br> u/3 + 29 =37
pochemuha

Answer:

u = 24

Step-by-step explanation:

Simplify both sides of the equation.

1/3u+29=37

Subtract 29 from both sides.

1/3u+29−29=37−29

1/3u=8

Multiply both sides by 3.

3*(1/3u)=(3)*(8)

u=24

[RevyBreeze]

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3 years ago
George from the Manchester office, has a road atlas which has a scale of 1cm:10km. How far has he to travel to the Sheffield off
Usimov [2.4K]
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15 cm <br> 7.5cm<br> 10 cm<br> 5 cm
Schach [20]

Answer:

7.5 = OM

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite side / hypotenuse

sin 30 = OM / UN

sin 30 = OM / 15

15 sin 30 = OM

7.5 = OM

4 0
3 years ago
11. Let f(x) = 2x² + 7x + 5
Lady_Fox [76]

Answer:

(x+1)(2x+5)

Step-by-step explanation:

f(x) = 2x² + 7x + 5

Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.

a+b=7

ab=2×5=10

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.

1,10

2,5

Calculate the sum for each pair.

1+10=11

2+5=7

The solution is the pair that gives sum 7.

a=2

b=5

2x²+7x+5 as (2x²+2x)+(5x+5).

(2x²+2x)+(5x+5)

Factor out 2x in the first and 5 in the second group.

2x(x+1)+5(x+1)

Factor out common term x+1 by using distributive property.

(x+1)(2x+5)

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3 years ago
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Answer:

721

Step-by-step explanation:

The equation is 268+268-100+285

3 0
3 years ago
Read 2 more answers
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