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3 years ago

Find the value of x

Mathematics

1 answer:

kenny6666 [7]3 years ago

7 0

Answer: x= 108

Step-by-step explanation: The triangle is an isosceles triangle, so the two sides are parallel which means the other angle equals to 72 as well. Now we take the triangle rule and do 180-72-72= 36 (the top angle= 36). The triangles are all equal so that means the other angle (in the upside down one) also equals 72 so we take 36+72= 108. Since it is also a parallelogram, the angles are equal.

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Write the rule for the nth term of the following sequence.

denis-greek [22]

Answer:

$2^{n-3}$ is the nth term of the given sequence.

Step-by-step explanation:

The sequence given is

$\frac{1}{4},\frac{1}{2},1,2,4 .....$

We can clearly see that 1st term is $\frac{1}{4}$ and 2nd term is $\frac{1}{2}$

2nd term is obtained by multiplying the 1st term by 2.

2nd term is $\frac{1}{2}$ and 3rd term is 1.

3rd term is obtained by multiplying the 2nd term by 2.

3rd term is 1 and 4th term is 2.

4th term is obtained by multiplying the 3rd term by 2.

Clearly, the given series is a Geometric Progression(GP) with

First term, $a = \frac{1}{4}$

Common Ratio, $r = 2$

We know that $n^{th}$ term for a GP is:

$a_n = ar^{n-1}$

Putting values of a and r

$a_n = \dfrac{1}{4}2^{n-1}\\a_n = \dfrac{1}{2^{2} }2^{n-1}\\a_n = 2^{n-1-2}\\a_n = 2^{n-3}$

Hence, $2^{n-3}$ is the nth term of the given sequence.

3 0

3 years ago

What is reciprocal of the fraction in the equation 3/5(2x+8)=18?

frutty [35]

9514 1404 393

Answer:

5/3

Step-by-step explanation:

The reciprocal of any fraction is obtained by swapping the numerator and denominator, turning it "upside down."

the reciprocal of the fraction 3/5 is 5/3

5 0

3 years ago

The Split Ends Salon orders 10 cases of hand-made hairbrushes.

r-ruslan [8.4K]

Answer:

it would take 65 hours to produce all of the order.

Step-by-step explanation:

1. you already would figure out that 26 hours=4 cases or 6.5 hours per case of hairbrushes.

2. You would figure out that 26+26 is 52 so 52 hours for 8 cases

3. Then you remember u have 8 cases of hairbrushes now. Set up a mental equation where you can solve in your mind: if I need 10 cases, but have figured out I only calculated 8, how much more would I still need to meet the order?

4. After mentally solving the hypothetical problem, you then would conclude you needed 2 more cases from 8 to equal 10.

5. you then divide 26 hours per 4 cases and you get 13 hours for 2 cases.

6. finally you multiply 26+26+13 which you would get 65 as the answer

7 0

3 years ago

an athlete is running on a bike path with mile markers he is currently at mile marker 13 if his sister is 5 miles away determine

anzhelika [568]

I have absolutely no clue how mile markers work, but assuming they mark a single mile each, his sister will either be five miles in front, or five miles behind him.

The possible answers are mile markers 8 and 18.

3 0

3 years ago

Read 2 more answers

I need help with math

jekas [21]

Hello there!

Answer: $7\frac{1}{5}$