All categories

3 years ago

ABC ≃DEF. Find the lengths of the given sides

Mathematics

1 answer:

GuDViN [60]3 years ago

5 0

Answer:

BC = 8 and EF = 8.

Step-by-step explanation:

Since triangle ABC and DEF are congruent to each other, BC corresponds with EF (as determined by the triangle names).

Set BC and EF equal to each other.

x + 6 = 3x + 2

Subtract x from both sides.

6 = 2x + 2

Subtract 2 from both sides.

4 = 2x.

Divide 2 on both sides.

x = 2.

Substitute 2 for x.

BC = 2 + 6

BC = 8

Since we already know that EF is congruent to BC, EF is also 8.

EC = 3(2) + 2

EC = 6 + 2

EC = 8

You might be interested in

Please help me! No links as answers please. Find the expected value: A card is drawn from a deck. You win $104 if the card is an

kotegsom [21]

Answer:

I highly doubt this is right bu $26 since there are many face cards in a deck.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

In 2–4, write Yes or No to indicate whether the expressions are equivalent. 2. 10x - 3 + 2x - 5 and 4(3x - 2) 3. 3y + 3 and 9(y

Dmitry [639]

Step-by-step explanation:

2. 10x - 3 + 2x - 5 and 4(3x - 2)

10x - 3 + 2x - 5

Upon simplifying;

10x + 2x - 3 - 5

12x - 8

4(3x - 2)

12x - 8

Both expressions are equivalent - Yes!

3. 3y + 3 and 9(y + 1/3)

9(y + 1/3)

upon simplifying;

9y + 9 (1/3)

9y + 3

3y + 3

Both expressions are not equivalent - No!

4. 6(3x + 1) and 9x + 6 + 9x

6(3x + 1)

upon simplifying;

6(3x) + 6 (1)

18x + 6

9x + 6 + 9x

Upon simplifying;

9x + 9x + 6

18x + 6

Both expressions are equivalent - Yes!

3 0

3 years ago

A 40 ft board is cut into two pieces so that one piece is 8 ft longer than the other piece. Find the length of the two pieces

77julia77 [94]

Answer:

16 and 24 ft

Step-by-step explanation:

If we call the length of one piece x, the length of the other piece is x + 8, therefore, we can write the following equation:

x + x + 8 = 40

2x + 8 = 40

2x = 32

x = 16 so x + 8 = 16 + 8 = 24.

3 0

4 years ago

Read 2 more answers

Help pleaseee (circles and arcs)

melomori [17]

Answer:

$m\ arc\ ABC=270^o$

Step-by-step explanation:

we know that

$m\ arc\ AC+m\ arc\ ABC=360^o$ ----> by complete circle

we have

$m\ arc\ AC=90^o$ ----> by central angle

substitute in the equation above

$90^o+m\ arc\ ABC=360^o$

$m\ arc\ ABC=360^o-90^o=270^o$

4 0

3 years ago

Which set of ordered pairs has point symmetry with respect to the origin (0, 0)? (-12, 5), (-5, 12) (-12, 5), (12, -5) (-12, 5),

miskamm [114]

Answer:

(-12, 5), (12, -5)

Step-by-step explanation:

Reflection across the origin is the transformation ...

(x, y) ⇒ (-x, -y)

Look for coordinates that are the opposites of their counterparts. You will find the appropriate answer choice is ...

(-12, 5), (12, -5)

7 0

4 years ago

Read 2 more answers