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3 years ago

∠3 and ∠6 can be classified as:

Mathematics

2 answers:

anastassius [24]3 years ago

6 0

Answer:

Alternate Interior Angles

Step-by-step explanation:

Since they are inside the parallel lines, Alternate Exterior Angles and any other similar theorems can be ruled out.

Since they are on opposite sides of each other, Corresponding Angles and any other similar theorems can be ruled out.

Since they are far apart from each other, Supplementary Angles, Adjacent Angles, Vertical Angles, and any other similar definitions can be ruled out.

Therefore, we are left with Alternate Interior Angles.

Naddika [18.5K]3 years ago

3 0

Answer:

angle 3 and angle 6 are

1) Alternate Angles

2) Interior Angles

Step-by-step explanation:

(see attached for reference)

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4,6,9,... Find the 8th term. Find the 8th term.

krek1111 [17]

Answer:

4, 6, 9, 12, 15, 18, 21, 24.

Step-by-step explanation:

The 8th term is 24.

just +2 (add 2) every time.

3 0

2 years ago

A boy bought an article for £9. He spent £4

Marina86 [1]

Answer:

Profit % = 39%

Step-by-step explanation:

Cost price of the article = 9

Price for repairing = 4

Therefore, Total cost of the article = 9 + 4 = 13

Selling price of the article = 18

Profit = 18 - 13 = 5

Hence,

$Profit \% = \frac{Profit}{Cost \ price} \times 100\\\\$

$= \frac{5}{13} \times 100\\\\=38.46 \%\\\\=38.5 \%$

Profit percent (to the nearest %) = 39%

4 0

3 years ago

When and how do you use logarithms to solve exponential equations? give an example of an exponential equation that does not requ

tatuchka [14]

$\bf 5^{x+3}=\cfrac{1}{125}\implies 5^{x+3}=\cfrac{1}{5^3}\implies 5^{x+3}=5^{-3}
\\\\\\
\textit{because the bases are the same, the exponents must also be the same}
\\\\\\
x+3=-3\implies \boxed{x=-6}\\\\
-------------------------------\\\\
3^x=4^{2x}\implies log(3^x)=log(4^{2x})\implies xlog(3)=(2x)log(4)
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\cfrac{x}{2x}=\cfrac{log(4)}{log(3)}\implies \cfrac{1}{x}=\cfrac{log(4)}{log(3)}\implies \cfrac{log(3)}{log(4)}=x\implies \boxed{0.79248125\approx x}$

6 0

2 years ago

Find the length of the side

MrRa [10]

Answer:

So AC = 25

Step-by-step explanation:

ABC = LMN

That means AB = LM

BC = MN

AC = LN

We know AB = 41 MN = 38 and LN = 25

AB = LM = 41

BC = MN=38

AC = LN=25

So AC = 25

7 0

3 years ago

When the smaller of two fractions is divided by the larger, the result is 7/9. Of the smaller is 8/3, find the larger.

raketka [301]

Answer:

Larger fraction = 24/7

Step-by-step explanation:

Given that:

Smaller fraction = 8/3

Larger fraction = ?

Let the larger fraction is x/y then according to the statement:

8/3 / x/y = 7/9

Rule: When there is a fraction in the denominator of a fraction, the lower fraction is reversed and multiplied with the upper one.

So, according to rule:

8/3 * y/x = 7/9

8y/ 3x = 7/9

Now multiplying both sides by 3/8 we get

8y/ 3x * 3/8 = 7/9 *3/8

After cancellation:

y/x = 21/ 72

By reducing it to lowest form (dividing both by 3)

We ge:

y / x = 7/ 24

This means y= 7

x = 24

So the larger fraction will become: x/y =24/7

Proof:

Smaller fraction / Larger fraction = 7/9

8/3 / 24/7 = 7/9

Applying Rule:

8/3 * 7/24 = 7/9

56/ 72 = 7/9

Reducing it to lowest fraction: (dividing both by 8)

7/9 = 7/9

Hence proved

I hope it will help you!

3 0

3 years ago