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Leno4ka [110]
3 years ago
13

Consider △ABC and △DEF.

Mathematics
2 answers:
steposvetlana [31]3 years ago
6 0
Translate △ABC 1 unit up and rotate it 180° about the origin. 
Rotate △ABC 180° about the origin and translate it 1 unit down.
Reflect △ABC across the x-axis, reflect it across the y-axis, and translate it 1 unit down.
Marrrta [24]3 years ago
4 0
The correct answer is the last one.

Hope this helps :)
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Given m|n, find the value of x and y.
galben [10]

We know that m ║ n.

Let's first find the value 'x'.

When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.

This means that (5x + 16)° and (7x + 4)° are equivalent.

Equating them,

5x + 16 = 7x + 4

16 - 4 = 7x - 5x

12 = 2x

x = 12/2

x = 6°

Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.

5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.

7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.

Now let's find the value of 'y'.

If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.

This means that both those angles should add upto 180°.

Using that theory, the following equation can be framed:

(y + 6)°+ (7x + 4)° = 180°

Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.

(y + 6)° + 46° = 180°

y + 6 + 46° = 180

y + 52° = 180°

y = 180° - 52°

y = 128°

Therefore, the values of 'x' and 'y' are 46° and 128° respectively.

Hope it helps. :)

5 0
3 years ago
What is the equivalent decimal? Drag the answer into the box to match the fraction. 6/11
Naya [18.7K]

Answer:

The answer is D

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the area plzzzzzzxxxzzxxxzzzzzzz
nikitadnepr [17]

Step-by-step explanation:

step 1. break up the shape into 2 triangles and one rectangle

step 2. A = area of triangle 1 (t1) + area of triangle 2 (t2) + area of the rectangle (r)

step 3. t1 = (1/2)bh where b is the base and h is the height. definition of the area of a triangle.

step 4. t1 = (1/2)(3)(2) = 3ft^2.

step 5. t2 = (1/2)(3)(3) = 4.5ft^2.

step 6. r = bh where b is the base and h is the height. definition of the area of a rectangle.

step 7. r = bh = (8)(4) = 32ft^2.

step 8. A = t1 + t2 + r = 3 + 4.5 + 32 = 39.5ft^2.

5 0
3 years ago
The population of knoxville is 500,000 and is increasing
Fed [463]

Answer:

Wow :o

Step-by-step explanation:

6 0
2 years ago
Anna enjoys dinner with her family at a restaurant in Washington, D.C. She leaves a 15% tip on the price of her meal. She also h
AnnZ [28]

Answer:

$22

Step-by-step explanation:

tax and the tip increase the price paid for the meal

she paid 15 + 10 = 25% more than the price of her meal

p = original price

1.15 x p = 27,50

p = 27.50 / 1.15 = 22

3 0
3 years ago
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