Answer:
1947 units^2
Step-by-step explanation:
you can split it up into different sections of rectangles.
the first one is 25x39= 975
The second section is the connector which you do
43-25=18
and you do 39-27=12 and then
you multiple 18x12 which equals 216
and the final section you do 24+12=36
and 36x21=756
and finally you add them all up to equal 1947 units^2
120 students are in the 7th grade.
It is impossible to draw a parallelogram with 4 parallel lines (or to draw any quadrilateral with 4 parallel lines, for that matter).
Answer:
Jogging 6th time.
Step-by-step explanation:
We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.
We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.
We know that an arithmetic sequence is in form
, where,
= nth term of sequence,
= 1st term of sequence,
n = Number of terms in sequence,
d = Common difference.
Let us find common difference of our given sequence as:

Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.

Let us solve for n.





We can also write next terms of our sequence as:

Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.
Answer:
30
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem to find the missing side
a^2 +b^2 = c^2 where a and b are the sides and c is the hypotenuse
x^2 + 40^2 = 50^2
x^2 +1600 = 2500
x^2 = 2500-1600
x^2 = 900
Take the square root of each side
sqrt(x^2) = sqrt(900)
x = 30