All categories

3 years ago

20 POINTS

Mathematics

1 answer:

Mashutka [201]3 years ago

6 0

To find x:

ON is parallel to LM

8x - 8 = 7x + 4

-7x -7x

1x - 8 = 4

+8 +8

1x = 12

--- ---

1 1

x = 12

8(12) - 8 = 7(12) + 4

96 - 8 = 84 + 4

88 = 88

------------------------------------

To find y:

NM is parallel to OL

x - 5 = 3y - 6

12 - 5 = 3y - 6

7 = 3y - 6

+6 +6

13 = 3y

--- ---

3 3

13/3 = y

Check:

12 - 5 = 3(13/3) - 6

7 = 13 - 6

7 = 7

You might be interested in

I will 10 points pls anwser correct

coldgirl [10]

Answer:

1.5 if you Evaluate and in fraction form $\frac{15}{10}$

4 0

2 years ago

The equation of a line is y=-2x+1. What is the equation of the line that is parallel to the first line and passes through (2,2)?

Murrr4er [49]

Answer:

The equation in slope-intercept form is y=-2x+6.

The equation in standard form is 2x+y=6.

The equation in point-slope form is y-2=-2(x-2).

Step-by-step explanation:

The slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.

Parallel lines will have the same slope and different y-intercept.

Anyways the slope of y=-2x+1 is -2.

So the equation of our line we are looking for is -2.

So we know our equation is in the form y=-2x+b.

We must inf b using y=-2x+b with (x,y)=(2,2).

y=-2x +b with (x,y)=(2,2)

2=-2(2)+b

2=-4+b

Add 4 on both sides:

2+4=b

Simplify:

6=b

The equation is y=-2x+6.

Now it didn't say what form it wanted.

There are some forms I can give you like standard and point-slope form.

There is also general form but it is not too much different from standard form.

Standard form is ax+by=c where a,b, and c are integers if possible.

Point-slope form is y-y1=m(x-x1) where (x1,y1) is a point on the line and m is the slope.

So let's go for standard form (ax+by=c) first:

y=-2x+6

add 2x on both sides:

2x+y=6

This is standard form because it is in the form

ax+by=c.

Ok we know point (2,2) is on our line and we also know we have slope,m, is -2.

Point-slope form is

y-y1=m(x-x1)

y-2=-2(x-2)

8 0

3 years ago

M<3 is (3x + 4) and m<5 is (2x +11)

butalik [34]

Answer:

Part 1) Option C. Same side interior angles

Part 2) Option A. $(3x+4)+(2x+11)=180\°$

Part 3) Option B. $m$

Step-by-step explanation:

Part 1) we know that

If p and q are parallel

then

m<3 and m<5 are consecutive interior angles or Same side interior angles

and

$m$

Part 2) we know that

$m$ -----> by consecutive interior angles (supplementary angles)

we have that

$m$

substitute

$(3x+4)+(2x+11)=180\°$

Part 3) Find the measure of angle 5

we know that

$(3x+4)+(2x+11)=180\°$

Solve for x

$5x+15\°=180\°$

$5x=180\°-15\°$

$x=165\°/5\°=33\°$

$m$

substitute the value of x

$m$

8 0

3 years ago

Read 2 more answers

a student has answered 82% of the questions correctly in the examination. He made mistakes in 9 questions Calculate the toltal n

Sonja [21]

Answer:

There is a total 50 questions.

Step-by-step explanation:

Let x = total questions in the exam

Since 82% of the test was scored correctly, that means 18% of the student's exam was scored incorrectly.

With this information we can write:

$18\%x=9$ (Given that the student made 9 mistakes)

$x=9\div18\%$ (divide 18% on both sides)

$x=50$

∴ There was a total of 50 questions in the examination.

5 0

3 years ago

A bag contains 6 blue, 10 green, and 8 red marbles. What

Evgesh-ka [11]

Answer:

1/4, 3/4

Step-by-step explanation:

First let's find how many marbles there are in total

6+10+8=24 marbles

Now we find the probability of drawing a blue marble

6/24=1/4 (There are 6 blue marbles)

The compliment is 3/4

4 0

2 years ago