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Alborosie
3 years ago
13

Is the following statement true or false? Parallel lines do not intersect.

Mathematics
2 answers:
hammer [34]3 years ago
5 0

Answer:

True

Step-by-step explanation:

Parallel lines go straight on forever and ever without intersection

Luden [163]3 years ago
5 0

Answer:

The statement is true.

Step-by-step explanation:

parallel lines don't intersect. An example is shown in the picture

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the ratio of white pens to green pens is 2 to 8. how many green pens are there if there are 18 white pens?
NISA [10]
There are 72 green pens.

There is 9 times as many white pens from 2 to 18, so there has to be 9 times as many green pens because of the ratio. 9 times 8 is 72.
5 0
3 years ago
The length of a rectangle is 3.7 inches when rounded to the nearest tenth of an inch.
Lilit [14]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, trave
USPshnik [31]

Answer:

Julio travel <u>3 hours</u> by biking and <u>4 hours</u> by walking.

Step-by-step explanation:

Given:

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, traveling 7 mph.

If the total trip to the park took 7 hours and it was 52 miles away.

Now, to find the time Julio travel at each speed.

The speed travelled by the bike = 8 mph.

The speed travelled by the walking = 7 mph.

Let the time Julio travel with bike be x.

And the time Julio travel by walking be y.

As, given Julio started biking to the park traveling, after some time the bike got a flat so Julio walked the rest of the way,

Thus, the total time taken:

x+y=7

y=7-x\ \ \ .......(1)

So, the distance travelled by bike:

Speed × time

8\times x=8x

And, the distance travelled by walking:

Speed × time

7\times y=7y

Now, the total distance travelled by Julio:

8x+7y=52

Substituting the value of x from equation (1) we get:

8x+7(7-x)=52

8x+49-7x=52\\\\x+49=52

<em>Subtracting both sides by 49 we get:</em>

x=3.

<em>The time Julio travelled with bike = 3 hours.</em>

Now, to get the time Julio travelled by walking by substituting the value of x:

y=7-x\\\\y=7-3\\\\y=4\ hours.

<em>The time Julio travelled by walking = 4 hours.</em>

Therefore, Julio travel 3 hours by biking and 4 hours by walking.

7 0
3 years ago
Use the following matrices, A, B, C and D to perform each operation.
Vinvika [58]

Step-by-step explanation:

A=\left[\begin{array}{ccc}3&1\\5&7\end{array}\right]

B=\left[\begin{array}{ccc}4&1\\6&0\end{array}\right]

C=\left[\begin{array}{ccc}-2&3&1\\-1&0&4\end{array}\right]

D=\left[\begin{array}{ccc}-2&3&4\\0&-2&1\\3&4&-1\end{array}\right]

1.\\A+B=\left[\begin{array}{ccc}3&1\\5&7\end{array}\right]+\left[\begin{array}{ccc}4&1\\6&0\end{array}\right]=\left[\begin{array}{ccc}3+4&1+1\\5+6&7+0\end{array}\right]=\left[\begin{array}{ccc}7&2\\11&7\end{array}\right]

2.\\B-A=\left[\begin{array}{ccc}4&1\\6&0\end{array}\right]-\left[\begin{array}{ccc}3&1\\5&7\end{array}\right]=\left[\begin{array}{ccc}4-3&1-1\\6-5&0-7\end{array}\right]=\left[\begin{array}{ccc}1&0\\1&-7\end{array}\right]

3.\\3C=3\left[\begin{array}{ccc}-2&3&1\\-1&0&4\end{array}\right]=\left[\begin{array}{ccc}(3)(-2)&(3)(3)&(3)(1)\\(3)(-1)&(3)(0)&(3)(4)\end{array}\right]=\left[\begin{array}{ccc}-6&9&3\\-3&0&12\end{array}\right]

4.\\C\cdot D=\left[\begin{array}{ccc}-2&3&1\\-1&0&4\end{array}\right]\cdot\left[\begin{array}{ccc}-2&3&4\\0&-2&1\\3&4&-1\end{array}\right]\\\\=\left[\begin{array}{ccc}(-2)(-2)+(3)(0)+(1)(3)&(-2)(3)+(3)(-2)+(1)(4)&(-2)(4)+(3)(1)+(1)(-1)\\(-1)(-2)+(0)(0)+(4)(3)&(-1)(3)+(0)(-2)+(4)(4)&(-1)(4)+(0)(1)+(4)(-1)\end{array}\right]\\=\left[\begin{array}{ccc}7&-8&-6\\14&13&-8\end{array}\right]

5.\\2D+3C\\\text{This operation can't be performed because the matrices}\\\text{ are of different dimensions.}

6 0
3 years ago
What is the value of x in 9/5 x = 2/3
Anna [14]

Answer:

x = 10/27

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

9/5x = 2/3

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Divide both sides by 9/5:          x = 10/27

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    9/5(10/27) = 2/3
  2. Multiply:                        90/135 = 2/3
  3. Simplify:                        2/3 = 2/3

And we have our final answer!

6 0
2 years ago
Read 2 more answers
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