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3 years ago

What is the value of x

Mathematics

1 answer:

Rufina [12.5K]3 years ago

4 0

answer:

d: 30

all angles in a triangle have a sum of 180 degrees. Just add 50 and 100 (so 150) and do 180-150=30.

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(1/27)^x-6=27 Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

Therefor, the answer is x = 7.

5 0

2 years ago

Gabrielle is 10 years younger than Mikhail. The sum of their ages is 74. What is Mikhail's age?

Masja [62]

Answer:

Mikhail is 42 years old

Step-by-step explanation:

4 0

1 year ago

Willian bought 11 books. He decided to present 2 books to each of his friends and still have one book left. Find the number of f

ira [324]

Answer:

i think he has 5 friends

Step-by-step explanation:

sorry if im wrong

7 0

2 years ago

Read 2 more answers

Plz help ASAP and good explanation thank you

PilotLPTM [1.2K]

10 + 43 - 5 = 48

5^2 = 25

48/6 = 7

7 + 25 = 32

Answer 32

3 0

2 years ago

Can I please get some help with this :D

Luba_88 [7]

1. Anwser=53.3 (do 40*3 then anwser x 4)
2anwser=120

6 0

2 years ago