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swat32
2 years ago
12

Didn’t the measure of angle j

Mathematics
1 answer:
Mkey [24]2 years ago
7 0
When two adjacent angles form a straight line, they are called linear pair. They add up to 180.
j + 102 = 180
j = 180 - 102
j = 78
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Each year for 4 years, a farmer increased the number of trees in a certain orchard by of the number of trees in the orchard the
Neko [114]

Answer:

The number of trees at the begging of the 4-year period was 2560.

Step-by-step explanation:

Let’s say that x is number of trees at the begging of the first year, we know that for four years the number of trees were incised by 1/4 of the number of trees of the preceding year, so at the end of the first year the number of trees wasx+\frac{1}{4} x=\frac{5}{4} x, and for the next three years we have that

                             Start                                          End

Second year     \frac{5}{4}x --------------   \frac{5}{4}x+\frac{1}{4}(\frac{5}{4}x) =\frac{5}{4}x+ \frac{5}{16}x=\frac{25}{16}x=(\frac{5}{4} )^{2}x

Third year    (\frac{5}{4} )^{2}x-------------(\frac{5}{4})^{2}x+\frac{1}{4}((\frac{5}{4})^{2}x) =(\frac{5}{4})^{2}x+\frac{5^{2} }{4^{3} } x=(\frac{5}{4})^{3}x

Fourth year (\frac{5}{4})^{3}x--------------(\frac{5}{4})^{3}x+\frac{1}{4}((\frac{5}{4})^{3}x) =(\frac{5}{4})^{3}x+\frac{5^{3} }{4^{4} } x=(\frac{5}{4})^{4}x.

So  the formula to calculate the number of trees in the fourth year  is  

(\frac{5}{4} )^{4} x, we know that all of the trees thrived and there were 6250 at the end of 4 year period, then  

6250=(\frac{5}{4} )^{4}x⇒x=\frac{6250*4^{4} }{5^{4} }= \frac{10*5^{4}*4^{4} }{5^{4} }=2560.

Therefore the number of trees at the begging of the 4-year period was 2560.  

7 0
3 years ago
Asnwer aswer answer answer plz ASWER ANSWER ANSWER ANSWERR PLZ ANSWEER I NEED ANSWER PLZZZZZ!!!! i need help HELP!!!
Ksenya-84 [330]

Answer:

29,035.43 meters

Step-by-step explanation:

What we know:

- The elevation of the shore of the Dead Sea is -1,344.99 meters.

- The summit of Mt. Everest is 30,380.42 meters above the Dead Sea.

So, we just add the two values.

30,380.42 + (-1,344.99)

We can rewrite this as 30,380.42 - 1,344.99 since adding a negative is the same as subtracting that number.

And we get 29,035.43 meters as the elevation or height of Mt. Everest.

7 0
3 years ago
PLEASE HELP I WILL GOVE BRAINIEST
Elza [17]

Answer: the answer is x<-4 so the correct answer choice would be D

Step-by-step explanation: Hope this helps :)

7 0
3 years ago
Read 2 more answers
Which expression is equivalent to [(3xy^-5)^3/(x^-2y^2)^-4]^-2?
Mademuasel [1]

Answer:- a.The given expression is equivalent to  \frac{x^{10}y^{14}}{729}



Given expression:- [\frac{(3xy^{-5})^3}{(x^{-2}y^2)^{-4}}]^{-2}

=[\frac{(3)^3x^3y^{-5\times3}}{x^{-2\times-4}y^{2\times-4}}]^{-2}.........(a^m)^n=a^{mn}

=[\frac{27x^3y^{-15}}{x^8y^{-8}}]^{-2}

=[27x^{3-8}y^{-15-(-8)}]^{-2}............\frac{a^m}{a^n}=a^{m-n}

=[27x^{-5}y^{-7}]^{-2}=(27)^{-2}(x^{-5})^{-2}(y^{-7})^{-2}.........(a^m)^n=a^{mn}

=\frac{1}{(27)^2}(x^{10}y^{14})=\frac{x^{10}y^{14}}{729}

Thus a. is the right answer.


6 0
3 years ago
Read 2 more answers
I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT
KatRina [158]
-2, 3 is the correct answer
3 0
4 years ago
Read 2 more answers
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