How to name a ray 3 different ways?

1 answer:

5 0

1)A ray has one endpoint and extends indefinitely in one direction.
2)A pair of opposite rays are two rays that have the same endpoint and extend in opposite directions.
3)Rays are always named with two points and the first point in the name must be the endpoint.

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A cuboid with dimensions 45 cm by 16 cm by 12 cm is cut to form smaller cubes of

LenKa [72]

Answer:

135 cubes

Step-by-step explanation:

Volume of cuboid :

45 x 16 x 12
720 x 12
8,640 cm³

Volume of a small cube :

(4)³
64 cm³

Number of cubes :

n = 8,640/64
n = 135 cubes

4 0

1 year ago

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times sm

sergey [27]

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel

<h3>Solution:</h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

$\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}$

And now, 15 degrees is 11 times smaller than the other

Then other angle = 11 times of 15 degrees

$\text {Other angle }=11 \times 15=165 \text { degrees }$

Now, sum of angles = 15 + 165 = 180 degrees.

As we expected their sum is 180 degrees. So the lines are parallel.

Hence, the given lines are parallel

5 0

3 years ago

In a fifth grade class, 4/5 of the girls have brown hair, of the brown-haired girls, 3/4

AfilCa [17]

Answer:

$\frac{3}{5}$

Step-by-step explanation:

In the fifth grade class, $\frac{4}{5}$ of the girls have brown hair. Again among those of the brown-haired girls, $\frac{3}{4}$ of them have long hair.