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sweet [91]
3 years ago
7

Exercise 2 Determine the measures of the angles marked with letters. (Note: Lines with arrowheads are parallel)

Mathematics
1 answer:
-Dominant- [34]3 years ago
6 0

Answer: n⁰ = 70⁰

Ok done. Thank to me :>

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What is the simplified form of the following expression? 5√8-√18-2√2
Romashka [77]

Answer:

Option (B) is correct.

To prove

As given the epression in the question is given by

= 5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}

Now simplify the above

Terms are written as

\sqrt{8} = \sqrt{2\times 2\times 2} = 2 \sqrt{2}

\sqrt{18} = \sqrt{3\times 3\times 2} = 3 \sqrt{2}

Put in the above expression.

= 5\times 2 \sqrt{2} -3 \sqrt{2} - 2 \sqrt{2}

= 10 \sqrt{2} -5 \sqrt{2}

=5 \sqrt{2}

Therefore\ the\ expression\ 5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}\ is\ equivalent\ to\ 5 \sqrt{2} .





6 0
3 years ago
A swimming pool is 12.4 feet long and 6.20 feet wide what area does the pool occupy? plz help me
jonny [76]
76.88   I just typed it in on a calculator.
5 0
3 years ago
Read 2 more answers
Solve the equation: 2x=4
nekit [7.7K]

Answer:

x=2

Step-by-step explanation:

2x=4

x=4/2

x=2

4 0
3 years ago
Read 2 more answers
The ratio of boys to girls in a group is 5:3. If there are 18 more boys than girls, work out how
zmey [24]
<h3>Answer:  72 people total</h3>

45 boys, 27 girls

============================================================

Explanation:

g = number of girls

g+18 = number of boys, since there are 18 more boys than girls

For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3

We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.

-------------------

The ratio of boys to girls is 5:3, meaning

(number of boys)/(number of girls) = 5/3

which turns into

(g+18)/g = 5/3

after we make the proper substitutions

Let's solve for g

(g+18)/g = 5/3

3(g+18) = 5g

3g+54 = 5g

54 = 5g-3g

54 = 2g

2g = 54

g = 54/2

g = 27

There are 27 girls.

This leads to,

g+18 = 27+18 = 45

So there are 45 boys

In total, we have 27+45 = 72 people

-----------------------------

Checking the answer:

The claim is that 45/27 is the same as 5/3

For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so

45/27 = 5/3

45*3 = 27*5

135 = 135

The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.

You could also use your calculator to note that

45/27 = 1.667

5/3 = 1.667

both decimal values are approximate.

8 0
3 years ago
A drawer of loose socks contains 2 red socks, 2 green socks, and 6 white socks. Which best describes how to determine the probab
kenny6666 [7]
Well, before you draw out the first sock, you had 60% chance of getting a white sock since six of the ten socks are white! (6/10)

So, if you were to not replace the first drawn white sock, your percentage goes to 55.5556%! This is because you now have 5/9 socks remaining in the drawer being white!
7 0
3 years ago
Read 2 more answers
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