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3 years ago

If a diagonal is drawn in a parallelogram, then two congruent triangles are... formed

Mathematics

2 answers:

mixer [17]3 years ago

7 0

Answer:

Always

Step-by-step explanation:

Vsevolod [243]3 years ago

3 0

Correct. Two congruent triangles are formed.
The two triangles are congruent because
1. diagonal = common side between two triangles
2. Considering the diagonal as a transversal that cuts the two pairs of parallel lines, we have two sets of internal alternate angles.
BY the rule of ASA, the two triangles are congruent.

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5x – 12y – 17 = 0<br> 1*9(x + 2) - (y + 1) + 3 = 0

valentina_108 [34]

Answer: $x=\frac{12y+17}{5}$

$y=\frac{-5x+17}{-12}$

$x=\frac{y-20}{9}$

y=9x+20

Step-by-step explanation:

5x-12y-17=0 (plus 17 from both sides)

5x-12y=17 (plus 12y from both sides)

5x=12y+17 (divide 5 from everything)

$x=\frac{12y+17}{5}$

5x-12y-17=0 (plus 17 from both sides)

5x-12y=17 (minus 5x from both sides)

-12y=-5x+17 (divide everything by -12)

$y=\frac{-5x+17}{-12}$

1*9(x+2)-(y+1)+3=0 (distribute 9 to x and to 2) (distribute -1 to y and to 1)

1*9x+18-y-1+3=0 (times 9x by 1)

9x+18-y-1+3=0 (combine like terms)

9x-y+20=0 (minus 20 from both sides)

9x-y=-20 (plus y to both sides)

9x=y-20 (divide 9 from both sides)

$x=\frac{y-20}{9}$

1*9(x+2)-(y+1)+3=0 (distribute 9 to x and to 2) (distribute -1 to y and to 1)

1*9x+18-y-1+3=0 (times 9x by 1)

9x+18-y-1+3=0 (combine like terms)

9x-y+20=0 (minus 20 from both sides)

9x-y=-20 (minus 9x from both sides)

-y=-9x-20 (divide -1 from everything)

y=9x+20

3 0

3 years ago

I need help on this:

marishachu [46]

The given number sentence is simplified as 1 3/5

<u>Step-by-step explanation:</u>

The given number sentence is 2-4/5 x 1/2

In order to solve this, the operations must be performed based on the BODMAS rule.
This means that, the operations should be performed in the order of Bracket, Of, Division, Multiplication, Addition and Subtraction.

Here, based on that above rule, the multiplication must be done in the first step and then subtraction should be done in the next step.

⇒ 2 - 4/5 × 1/2

⇒ 2 - 4/10

⇒ 2 - 2/5

Therefore, the given expression is reduced to 2- 2/5

cross multiply the denominator 5

⇒ (10-2) / 5

⇒ 8/5

Now, the expression is reduced to single term 8/5.

To further reduce the term, divide 8 by 5.