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Maurinko [17]
2 years ago
8

Please help me 50 points

Mathematics
2 answers:
GaryK [48]2 years ago
6 0

Answer:

m∠3 = 60°

m∠6 = 60°

Step-by-step explanation:

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.  This is called the "Alternate Interior Angles Theorem".

As line p intersects the set of parallel lines m and n at two distinct points, then m∠3 = m∠6  and  m∠4 = m∠5

Given:

  • m∠3 = (7x - 10)°
  • m∠6 = (5x + 10)°

As m∠3 = m∠6, then:

⇒ 7x - 10 = 5x + 10

Add 10 to both sides:

⇒ 7x - 10 + 10 = 5x + 10 + 10

⇒ 7x = 5x + 20

Subtract 5x from both sides:

⇒ 7x - 5x = 5x + 20 - 5x

⇒ 2x = 20

Divide both sides by 2:

⇒ 2x ÷ 2 = 20 ÷ 2

⇒ x = 10

Now substitute the found value of x into one of the angle expressions:

m∠3 = 7(10) - 10

       = 70 - 10

       = 60°

As m∠3 = m∠6,  then m∠6 = 60°

Afina-wow [57]2 years ago
3 0

angle 3 = angle 6 = 60°

hope it helps...!!!

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Mainly all you do is subtract , and it'll give you the right estimate
4 0
3 years ago
Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial?
denis23 [38]

36 is must be added to the expression x² + 12x to make it

perfect-square trinomial

Step-by-step explanation:

The perfect-square trinomial x² + 2ax + a² = (x + a)², then

1. The first term in the trinomial is square the 1st term in the bracket

2. The middle term in the trinomial is the product of 1st , 2nd

    terms of the bracket and 2

3. The 3rd term in the trinomial is square the 2nd term in the bracket

∵ The expression is x² + 12x

∵ We must add the 3rd term which make it perfect-square trinomial

- Divide 12x by 2 to find the product of the 1st term and 2nd term

  in the bracket

∵ 12x ÷ 2 = 6x

∴ The 1st term is x and the 2nd term is 6 of the bracket

∵ The 3rd term in the trinomial is square the 2nd term in the bracket

∴ The 3rd term in the trinomial is 6² = 36

∴ x² + 12x + 36 = (x + 6)²

36 is must be added to the expression x² + 12x to make it

perfect-square trinomial

Learn more:

You can learn more about perfect-square trinomial in brainly.com/question/7932185

#LearnwithBrainly

4 0
2 years ago
Select the correct answer from the drop-down menu.
Contact [7]

Answer:

The correct option is C.

C) -x + 2

Step-by-step explanation:

In mathematics, the term which is being divided is called a dividend. The term by which the dividend is getting divided is called a divisor. The quotient is the term we get after dividing the dividend by a divisor.

Here in this case, the dividend is written.

-x²    x    x

which in the equation form is written as

-x² + x + x

add the x terms to simplify

-x² + 2x

The divisor is given as x, divide the equation by x:

(-x² + 2x)/x

(-x²/x) + (2x/x)

-x+2

Which is the quotient.

4 0
3 years ago
Help me i need help asap
olganol [36]

Answer:

6.5

Step-by-step explanation:

when a negative is multiplied by a negative it in turns turns into a positive...hence 2+4.5

6 0
2 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!<br><br> Factor.<br><br> 11x^2 + 35x + 6
fredd [130]

Hey there!!

Given equation :

11x² + 35x + 6

Now let's write 35x as 33x and 2x

Then the equation would become :

... 11x² + 33x + 2x + 6

... Now, let's take the common terms 11x² + 33x and 2x + 6

It would become :

... 11x ( x + 3 ) + 2 ( x + 3 )

... Now, we will write this as :

... ( 11x + 2 ) ( x + 3 )

Hence, this is as the answer...

Hope my answer helps!!

6 0
2 years ago
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