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lilavasa [31]
3 years ago
11

Use the figure to identify each pair of angles as complementary angles, supplementary angles, vertical angles, or none of these.

Mathematics
1 answer:
maxonik [38]3 years ago
6 0

(a) Complementary angles

(b) Vertical angles

(c) Supplementary angles

<u>Explanation:</u>

Complementary angles are those two angles whose sum is 90 degrees.

Supplementary angles are those two angles whose sum is 180 degrees.

Vertical angles are the angles opposite each other when two lines cross.

(a)

Angles 1 and 5 are complementary angles

(b)

Angles 3 and 5 are vertical angles

(c)

Angles 3 and 4 are supplementary angles

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3 letters without replacement 4 letters A B C D how many ways can this be done if the order of the choices matters
Veseljchak [2.6K]

Answer:

Since the order of choice matters, we will permute the values.                       a bit more explanation for this:

If the order of choice did NOT matter, ABC and BCA will be counted as one since order of choice does NOT matter

Since order of choice does matter, ABC , BCA and CAB are all different possibilities for the arrangement of the same 3 letters

Since we have 3 slots:

___  ___ ___

Now, for the first slot. You can out either one if the 4 alphabets in the first slot since no slot has been used as of now

So:

_<u>4</u>_ ___ ___

**Keep in mind that the 4 is the possible number of values this slot can have**

Now that one slot has been used, one of the 4 alphabets has been used and since we are not allowed to repeat the same alphabets, we are left with  3 more alphabets

we can put any one of the 3 alphabets in this second slot, Hence:

_<u>4</u>_ <u>_3_</u> ___

Now that 2 of the 4 alphabets have been used, we are left with only 2 alphabets, so there are only 2 possible alphabets for slot 3

Therefore:

_<u>4</u>_ _<u>3</u>_ _<u>2</u>_

Now that we know the possible alphabets for all 3 slots, we will multiply them with each other to get the total possible number of 3 - alphabet words we can make with 4 alphabets

Total possible words = 4 * 3 * 2

Total possible words = 24

We could've used the formula for Permutation as well

8 0
3 years ago
Please solve this question <br>the answer is 45 degree ​
malfutka [58]

Answer:

∠ABC= 45°

Step-by-step explanation:

∠ABC= ∠BCD (alt. ∠s, AB//CD)

(2x +15)°= (3x)°

2x +15= 3x

3x-2x= 15 <em>(</em><em>-2x </em><em>on </em><em>both </em><em>sides)</em>

x= 15

Substituting the value of x:

∠ABC

= ∠BCD

= [3(15)]°

= 45°

7 0
2 years ago
What is the least common multiple of 8 and 12?
MArishka [77]
8:8,16,24,32,40,48,56,64,
12:12,24,36,48
Least common multiple is 24 because it's less then the other common multiples such as 48
4 0
3 years ago
Consider the following equations x=4/t and y = 4-t^2 a. Solve the equation for y (eliminate the parameter.)​
Nookie1986 [14]

Answer:

y=-16^a/x^2 + 4

Step-by-step explanation:

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3 years ago
A coin is flipped, and a standard number cube is rolled. Create a list to represent the sample space for the coin landing on tai
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You have an 1/2 chance of getting tails and 3/6 chance getting odd
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