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Anika [276]
2 years ago
12

ZA and B are supplementary and vertical angles. What is m<B

Mathematics
1 answer:
Marat540 [252]2 years ago
6 0
<h3>Answer:  90</h3>

Reason:

Vertical angles are equal to each other. Call them x. They must add to 180 degrees because they are supplementary (they are able to form a straight line).

x+x = 180

2x = 180

x = 180/2

x = 90

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Find the product of 4√/27 and 5√3 in simplest form. Also, determine whether the
tresset_1 [31]

The product of 4√27 and 5√3 in simplest form is 180. Thus, the result obtained is a rational number

<h3>Surd operation</h3>

Surd multiplication can be carried out as illustrated below:

a√b × c√d = (a × c)√(b × d)

<h3>How to determine the product of 4√27 and 5√3</h3>

The product of 4√27 and 5√3 can obtained as illustrated below:

a√b × c√d = (a × c)√(b × d)

4√27 × 5√3 = (4 × 5)√(27 × 3)

4√27 × 5√3 = 20√81

But

√81 = 9

Thus,

4√27 × 5√3 = 20 × 9

4√27 × 5√3 = 180

Therefore, the product of 4√27 and 5√3 is 180

<h3>What are rational numbers?</h3>

These are number that are expressed as a ratio of two integers inwhich the denominator is not equal to zero

Considering that the product of 4√27 and 5√3 is 180, we can thus say that 180 is a rational number since it can be written as 180 : 1 (or 180 / 1)

Therefore, was can conclude that the result obtained from the product of 4√27 and 5√3 is a rational number

Learn more about surd:

brainly.com/question/24700530

#SPJ1

7 0
2 years ago
Gaudvile atsakyk sita
lawyer [7]

Answer:

Huh?

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Bob bought a megahunk chocolate bar that weighed 9/10 lb he has already eaten 1/3 lb how much chocolate dose he have left
torisob [31]

Hi there! :)

<u>Answer:</u>

The answer is B) 17/30


Step-by-step explanation:

In order to find your answer you need to subtract 1/3 from 9/10:

9/10 - 1/3 = chocolate left

Since theses fractions do not have the same denominators (bottom number), the key here is to rewrite both of the fractions so that they have the same denominator:

The denominator is going to be a common multiple of "10" and "3". Ideally it's going to be the <u>least common multiple</u> of "10" and "3".

Let's start with the larger of the two denominators, which is "10". You have to go through its multiples and and see when we get to one that's divisible perfectly by 3.

So 10 is not divisible perfectly by 3, neither is 20. 30 on the other hand is divisible perfectly by 3. 30 is three times 10.

So you can rewrite both of these fractions as something over 30.

1/3 = ?/30

To get from 3 to 30, we have to multiply by 10. So if you multiply the denominator by 10, if you don't want to change the value of the fraction, you have to multiply the numerator (top number) by 10 also.

1/3 = <u>10/30</u>

Same thing with the other fraction:

9/10 = ?/30 → 3 × 10 = 30 / SO, you need to multiply the numerator by three also → 9 × 3 = 27

9/10 = <u>27/30</u>


Now that your fractions both have the same denominator, you can subtract the numerators together and put the answer on 30.

27/30 - 10/30 = ?

27 - 10 = 17 → <u>17/30</u>


Since the fraction is simplified, you are now done.


There you go! I really hope this helped, if there's anything just let me know! :)

8 0
4 years ago
Find the surface area of the prism.
Leto [7]

SA = (2 x 3 x 10) + (2 x 3 x 12) + (12 x 10 x 2)

SA = 60 + 72 + 240

SA = 372

So, the surface area of the prism is 372 in².

5 0
3 years ago
A triangular prism on top of a rectangular prism. The rectangular prism has a length of 2, width of 2, and height of 2. The tria
Airida [17]
The total surface is 22.8 units is the answer
8 0
3 years ago
Read 2 more answers
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