Ask question

Ask question

All categories

4 years ago

11

Find the value of x that makes m ∥ n

2 answers:

AURORKA [14]4 years ago

5 0

Those two angles are alternate interior angles, so they must be congruent.

3x = 2x + 20

x = 20

Alex73 [517]4 years ago

4 0

Answer:

The value of x that makes m || n is x = 20

Step-by-step explanation:

Given a line that is intersected by another two lines (for example line ''m'' and line ''n'' like in the exercise) one of the conditions that makes m || n is that the alternate interior angles must be congruent. Understanding that congruent means the same.

In the exercise, one pair of alternate interior angles are (2x+20)° and 3x°.

We need this two angles to be congruent ⇒ $3x=2x+20$

Solving this for ''x'' :

$3x=2x+20\\3x-2x=20\\x=20$

The value of x that makes 3x° congruent to 2x+20° (that makes the alternate interior angles congruents) is x = 20

You might be interested in

A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y equals = 100 100 minus −x squa

masha68 [24]

Answer:

Step-by-step explanation:

Given that a rectangle is constructed with its base on the x axis and two of its vertices on the parabola

$y=100-x^2$

This parabola has vertex at (0,100) and symmetrical about y axis.

Any general point above x axis can be written as (a,b) (-a,b) since symmetrical about yaxis.

Hence coordinates of any rectangle are

$(a,0) (-a,0), (a, 100-a^2), (-a, 100-a^2)$

Length of rectangle = 2a and width = $100-a^2$

Area of rectangle = lw = $2a(100-a^2)=200a-400a^3$

To find max area, use derivative test.

$A' = 200-800a^2\\A"=-1600a$

Hence maxima when first derivative =0

i.e. when a =2

Thus we find dimensions of the rectangle are l =4 and w = 96

Maximum area = $4(96) = 384$

5 0

3 years ago

Please explain your answer

Irina18 [472]

$\text{Distance = } \sqrt{(5 + 8)^2+ (-3 + 3)^2 }= \sqrt{13^2} = 13$

Answer: 13 units

6 0

3 years ago

The formula for the perimeter of a rectangle is 2l + 2w, where l is the length and width. How can you use the Distributive Prope

Ann [662]

Try to find the common factor which is 2.
So:
Multiply by 2 both variables in parenthesis and you get:
2*(l+w)

5 0

3 years ago

If your born August, 15, 2001 Then how old would you be now?

spin [16.1K]

Answer:

18 years old you would be

3 0

3 years ago

Read 2 more answers

If there are 350 boys in a school with a total of 800 students, then what percent of the students are girls?

tester [92]

Answer:

56.25%

Step-by-step explanation:

800 - 350 = 450

1% of 800 = 8 (800 divided by 100)

450 divided by 8 = 56.25

4 0

3 years ago

Read 2 more answers