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3 years ago

If ΔABC ≅ ΔFDE, which of the following statements is true?

Mathematics

1 answer:

klasskru [66]3 years ago

3 0

Answer:

Consider the figure as shown below.

If ΔABC ≅ ΔFDE,

Then the true statement is

∠A ≅ ∠F .....True

Step-by-step explanation:

Consider the figure as shown below.

If ΔABC ≅ ΔFDE,

Then the true statement is

∠A ≅ ∠F .....True

∠B ≅ ∠F .....False

∠A ≅ ∠D .....False

∠B ≅ ∠E .....False

Explanation:

Answer:

$\overline {JL} \cong \overline{MO}$ is the only correct statement.

Step-by-step explanation:

When the two triangles are congruent then their Vertices are correspondence to each other. the correspondence of vertices are as

For, Δ ABC ≅ Δ FDE

A↔ F

B ↔ D

C↔ E

The true statement

For, Δ ABC ≅ Δ FDE

∠ A ≅ ∠ F

∠ B ≅ ∠ D

∠ C ≅ ∠ E

These all are corresponding parts of congruent triangles (c.p.c.t).

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The highest mountains in the world are the Himalayas, at the border between the Indian and Eurasian plates. The Himalayas formed

Advocard [28]

Answer:

transform boundary

Step-by-step explanation:

I'm not too sure, but a transform boundary is where two plates crash into each other, creating mountains.

5 0

3 years ago

What is the value of the expression?

Blababa [14]

Answer:

- $\frac{9}{10}$

Step-by-step explanation:

Step 1: Add the numerator fractions.

2/5 + 3/10

Here we have to find LCD, the LCD of 5 and 10 is 10

(2*2) + 3 4 + 3

Therefore, 2/5 + 3/10 = --------------- = ------------------

10 10

= 7/10

Step 2: Now substitute 2/5 + 3/10 = 7/10 in the given fraction, we get

7/10

= ----------

-7/9

If we have fraction over fraction, we have to find the reciprocal of denominator fraction and multiply.

The reciprocal of -7/9 is -9/7

Step 3: Now multiply 13/10 and -9/7

= (7/10) x (-9/7)

= -9/10

=-9/10

The answer is - $\frac{9}{10}$

8 0

3 years ago

Read 2 more answers

Martin drew a triangle. Its sides are 3 cm, 4 cm, and 5 cm. What type of triangle is Martin drawing?

kolbaska11 [484]

Answer:

A scalene triangle .......

4 0

2 years ago

Read the caption thank you :)) if you know it let me know!

Stella [2.4K]

Answer:

∠ A = 50°

Step-by-step explanation:

In a parallelogram, consecutive angles are supplementary, sum to 180°

∠ A + 130° = 180° ( subtract 130° from both sides )

∠ A = 50°

3 0

3 years ago

Solve: 2/3x+15=17 3x+8-x=7 4(2x-6)=2

Volgvan

Answer:

x = 3

x = (-1)/2

x = 13/4

Step-by-step explanation:

Solve for x:

(2 x)/3 + 15 = 17

Put each term in (2 x)/3 + 15 over the common denominator 3: (2 x)/3 + 15 = (2 x)/3 + 45/3:

(2 x)/3 + 45/3 = 17

(2 x)/3 + 45/3 = (2 x + 45)/3:

1/3 (2 x + 45) = 17

Multiply both sides of (2 x + 45)/3 = 17 by 3:

(3 (2 x + 45))/3 = 3×17

(3 (2 x + 45))/3 = 3/3×(2 x + 45) = 2 x + 45:

2 x + 45 = 3×17

3×17 = 51:

2 x + 45 = 51

Subtract 45 from both sides:

2 x + (45 - 45) = 51 - 45

45 - 45 = 0:

2 x = 51 - 45

51 - 45 = 6:

2 x = 6

Divide both sides of 2 x = 6 by 2:

(2 x)/2 = 6/2

2/2 = 1:

x = 6/2

The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:

Answer: x = 3

______________________________________________________

Solve for x:

3 x - x + 8 = 7

Grouping like terms, 3 x - x + 8 = (3 x - x) + 8:

(3 x - x) + 8 = 7

3 x - x = 2 x:

2 x + 8 = 7

Subtract 8 from both sides:

2 x + (8 - 8) = 7 - 8

8 - 8 = 0:

2 x = 7 - 8

7 - 8 = -1:

2 x = -1

Divide both sides of 2 x = -1 by 2:

(2 x)/2 = (-1)/2

2/2 = 1:

Answer: x = (-1)/2

_______________________________________

Solve for x:

4 (2 x - 6) = 2

Divide both sides of 4 (2 x - 6) = 2 by 4:

(4 (2 x - 6))/4 = 2/4

4/4 = 1:

2 x - 6 = 2/4

The gcd of 2 and 4 is 2, so 2/4 = (2×1)/(2×2) = 2/2×1/2 = 1/2:

2 x - 6 = 1/2

Add 6 to both sides:

2 x + (6 - 6) = 1/2 + 6

6 - 6 = 0:

2 x = 1/2 + 6

Put 1/2 + 6 over the common denominator 2. 1/2 + 6 = 1/2 + (2×6)/2:

2 x = 1/2 + (2×6)/2

2×6 = 12:

2 x = 1/2 + 12/2

1/2 + 12/2 = (1 + 12)/2:

2 x = (1 + 12)/2

1 + 12 = 13:

2 x = 13/2

Divide both sides by 2:

x = (13/2)/2

2×2 = 4:

Answer: x = 13/4

8 0

3 years ago