For any n, 33 divides (n^101-n). prove this is true.

What is the relationship between the slopes of two parallel lines?

artcher [175]

Answer:

C

Step-by-step explanation:

Parallel line slopes are always the same.

5 0

3 years ago

Read 2 more answers

Daniel earns $760 each month he pays 15% of his earning in tax.

Gwar [14]

15 percent of 760 is 114
760 - 114 = 646

Hope this helps :D

6 0

3 years ago

Please help if you can thanks ^^

Neko [114]

Given:

AD is an angle bisector in triangle ABC. $m\angle CAB=44^\circ, m\angle ACB=72^\circ, m\angle ABC=64^\circ$ .

To find:

The value of $m\angle ADC$ .

Solution:

AD is an angle bisector in triangle ABC.

$m\angle CAD=m\angle BAD=\dfrac{m\angle CAB}{2}$

$m\angle CAD=m\angle BAD=\dfrac{44^\circ}{2}$

$m\angle CAD=m\angle BAD=22^\circ$

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

Using angle sum property in triangle CAD, we get

$m\angle CAD+m\angle ADC+m\angle ACB=180^\circ$

$22^\circ+m\angle ADC+72^\circ=180^\circ$

$m\angle ADC+94^\circ=180^\circ$

$m\angle ADC=180^\circ-94^\circ$

$m\angle ADC=86^\circ$

Therefore, the angle of angle ADC is $86^\circ$ .

3 0

3 years ago

I need help with this and I don’t understand it

DochEvi [55]

Lets break it down:

The bottom right picture shows an approximation of what 1 wingspan length is, and the goal is to estimate lengths.

A. 1 wing is approx. 7 meters. To find the wingspan of the plane just do 7 meters multiplied by 2 = 14 meters (approx wingspan). Now we convert (remember, to the nearest foot!)

14 meters = 45.93 ft

Round it to the nearest foot = 46 ft is your approx. wingspan.

B. The height. This is one is a little tricky! Lets try to use what we know:

1 wing is approx. 7 meters. Since these are approximations, lets say half of one wing is roughly the size of the height of the plane. Since these are approximations I'd say 4 meters.

4 meters = 13 ft (rounded).

I checked online for the specs of the Lysander and the exact height is 14 ft 6 in and wingspan is 50 ft. This means our approximations were correct!

C. The length would be 10 ft + 7 meters

10 ft = 3 meters (rounded)

3 meters + 7 meters = 10 meters

(converting to meters then to ft at the end because it's less messy)

10 meters = 33 ft (rouned)

length of the Lysander is approx. 33 ft!

(the real length is 30 ft 6 in)

This means our approximations were correct once more.

Hopefully this helped you and made your night/day easier.

5 0

4 years ago

A man is 8x years old now. How old he will be in: a. 10 years time? b. 6x years time?

OLga [1]

Answer:

is the question want to ans to be in the form of x

7 0

3 years ago