Answer:
see explanation
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, then
19x - 9 = 13x + 15 ( subtract 13x from both sides )
6x - 9 = 15 ( add 9 to both sides )
6x = 24 ( divide both sides by 6 )
x = 4
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Consecutive angles are supplementary, sum to 180° , that is
10y - 37 + 4y + 7 = 180
14y - 30 = 180 ( add 30 to both sides )
14y = 210 ( divide both sides by 14 )
y = 15
Then
∠ R = 10y - 37 = 10(15) - 37 = 150 - 37 = 113°
Then
∠ P = 113° ( opposite angles are congruent )
Hence if we covert 28,500,000 in scientific notation and write in the form
then x is equal to 7.
What is scientific notation?
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
Given number is 28500000
we can write 28500000 as
![285\times100000](https://tex.z-dn.net/?f=285%5Ctimes100000)
or we can write it as
![2.85\times10000000](https://tex.z-dn.net/?f=2.85%5Ctimes10000000)
and now we can write it in Scientific notation form as
![2.85\times10^7](https://tex.z-dn.net/?f=2.85%5Ctimes10%5E7)
So x=7
Hence if we covert 28,500,000 in scientific notation and write in the form
then x is equal to 7.
To learn more about scientific notation visit : brainly.com/question/5756316
Answer:
16 blue 32 blue
Step-by-step explanation:
48 divded by 3 is 6
Answer:
2,322,775
Step-by-step explanation:
Given a1 = 4 and ai =ai-1 +11
when i = 2
a2 = a2-1+11
a2 = a1+11
a2 = 4+11
a2 = 15
when i = 3
a3 = a2+11
a3 = 15+11
a3 = 26
The sequence formed by a1, a2, a3... is am arithmetic sequence as shown;
4, 15, 26...
Sum of nth term of an arithmetic sequence = n/2{2a+(n-1)d}
a is the first term = 4
d is the common difference = 15-4 = 26-15 = 11
n is the number of terms.
Since we are to find the sum of the first 650 terms in the sequence, n = 650
S650 = 650/2{2(4)+(650-1)11}
S650 = 325{8+(649)11}
S650 = 325(8+7,139)
S650 = 325×7147
S650 = 2,322,775
<span>a. 7 fireflies are caught per minute.
b. 19 fireflies were already caught prior to the contest starting.
a.
Looking at the equations (3m + 13) and (4m + 6) where m is equal to the number of minutes since the contest began, it's obvious that there are 3+4 = 7 fireflies caught per minute.
b.
One again, look at the two equations. Or for that matter, calculate them both and add the results for m=0 (the moment the contest began). And upon doing so, you'll see that 13 + 6 = 19 fireflies were caught prior to the competition starting.</span>