Determine the value of x so that line ℓ will be parallel to line m.

Can any body help my son with this is very important please some body help him in tanks very much I hope some body help me

riadik2000 [5.3K]

The top box on the page explains the idea completely.
You need to read the top box several times, and understand it.
A ratio is a comparison of two quantities by division.

1). Days in May: 31
   Days in a year: 365
   Their ratio: 31/365 .

2). Sides of a triangle: 3
   Sides of a square: 4
   Their ratio: 3/4 .

The middle box explains how two ratios can be equal,
and it gives you a very detailed example. You should
read the middle box and understand it.
Ratios are fractions. They can be equal in just the same
way that any two fractions can be equal.
And you can simplify ratios in exactly the same way that
you simplify fractions ... divide top and bottom both by
the same number.

3). 8/12   Cook up three equal ratios.
   1. divide top and bottom by 2 . . . . . 4/6
   2. divide top and bottom by 4 . . . . . 2/3
   3. multiply top and bottom by 9 . . . . 72/108
   These are just some that I chose.
   There are millions of others.

4). 20/25 Cook up three equal ratios.
   1. divide top and bottom by 5 . . . . . 4/5
   2. multiply top and bottom by 4 . . . . 80/100
   3. multiply top and bottom by 3 . . . . 60/75
   These are just some that I chose.
   There are millions of others.

5). 5/6 Cook up three equal ratios.
   1. multiply top and bottom by 2 . . . . 10/12
   2. multiply top and bottom by 3 . . . .
   3. multiply top and bottom by 9 . . . . 45/54
   These are just some that I chose.
   There are millions of others.

6).   10/14 Cook up three equal ratios.
   1. divide top and bottom by 2 . . . . 5/7
   2. multiply top and bottom by 2 . . . .
   3. multiply top and bottom by (you choose) . . . .

5 0

4 years ago

Line z has a slope of 2.5 and goes through point (4, 13). Which equation best represents line z?

Rus_ich [418]

Answer:

y - 13 = (5/2)(x - 4)

Step-by-step explanation:

Here we know the slope and one point on the line. Use the point-slope formula:

y - k = m(x - h).

Substituting 13 for k, 4 for x and 2.5 for m, we get:

y - 13 = (5/2)(x - 4)\

7 0

4 years ago

Figure. What are the pairs of congruent angles?

Anna35 [415]

∠QRS and ∠CDE are congruent.

∠RST and ∠DEB are congruent.

∠STQ and ∠EBC are congruent.

∠TQR and ∠BCD are congruent.

You can conclude the above angles are congruent because ∠R and ∠D has the same sign on their angle and so does ∠S and ∠E.

7 0

3 years ago

Read 2 more answers

Worth 17 points! Help me please!!! Look in the picture

ivanzaharov [21]

Answer:

Part A

1. After 4 weeks of work, Jeremy has saved 300

2. Jeremy worked 8 weeks in order to save $600

3. For every one week of work, Jeremy saved 75 dollars

4. If Jeremy works 15 weeks, then he can expect to save 1,125 dollars

Part B

1. Saeed orders 15 meals and his total cost of delivery is $24

2. Saeed paid $32 to have 20 meals delivered

3. For every meal delivered, Saeed is charged $1.6

4. If Saeed pays $19.20 in delivery fees then he ordered 12 meals

Step-by-step explanation:

Part A

The given graph gives the proportional relationship between total amount saved and the number of weeks worked

1. Reading from the graph, at the point where the vertical line from point 4 touches the line of the graph, an horizontal line to the vertical y-axis touches the y-axis at 300

Therefore;

After 4 weeks of work, Jeremy has saved 300

2. The point where an horizontal line from point 600 on the vertical y-axis touches the line of the graph, a vertical line drawn to the horizontal, x-axis touches the x-axis at 8

Therefore;

Jeremy worked 8 weeks in order to save $600.

3. The rate of change of the amount saved to the number of weeks worked, 'm', for the given proportional relationship (straight line relationship, passing through the origin) is given as follows;

Rate of change, m = Constant = y/x

∴ Rate of change of the amount saved to the number of weeks worked = (300-0)/(4 weeks- 0 week) = 75/week

Therefore;

For every one week of work, Jeremy saved 75 dollars

4. The amount Jeremy would have saved in 15 weeks, 'A', is given as follows;

A = m × n

Where;

m = The rate of change of the amount saved to the number of weeks worked = 75/week

n = The number of weeks worked

∴ A = 75/week × 15 = $1,125

Therefore;

If Jeremy works 15 weeks, then he can expect to save 1,125 dollars

Part B

From the graph, we have;

1. From the graph there is a proportional relationship between the total cost of delivery and the number of meals

At the point a vertical line drawn to the line of the graph from 15 on the horizontal axis (number of meals), a horizontal line drawn to the vertical y-axis touches the y-axis at 24

Therefore;

1. Saeed orders 15 meals and his total cost of delivery is $24

2. From the point where the horizontal line from 32 on the vertical axis touches the linear graph of the relationship between the total cost of delivery and the number of meals, a vertical line drawn down to the horizonal axis touches the horizontal x-axis at 20

Therefore;

Saeed paid $32 to have 20 meals delivered

3. The rate of change of the total cost of delivery to the number of meals, 'm', is given as follows;

m = y/x (for proportional relationships)

Taking any corresponding 'x' and y-values

m = 16/10 = 32/20 = 24/15 = 1.6 Dollars/meal

Therefore;

For every meal delivered, Saeed is charged $1.6

4. From m = y/x = 1.6

When y = $19.20

x = y/m = $19.20/($1.6/meal) = 12 meals

Therefore;

If Saeed pays $19.20 in delivery fees then he ordered 12 meals.

3 0

3 years ago

Im absolutely clueless with part b and c

Elden [556K]

Answer:

19.8 and 8/(sin(theta))+ 6/(cos(theta))

Step-by-step explanation:

If you make a table you can see that L_1 + L_2 gets larger as you increase theta prom pi/2 and decrease theta from pi/2. This means that pi/2 is the theta that will yield the smallest length for the ladder. Plugging this into L_1 + L_2 you get 19.8 (rounded to the nearest hundred)

C = 8/(sin(theta))+ 6/(cos(theta))

7 0

4 years ago