Answer:
the 19th term of the arithmetic sequence is 73.
Step-by-step explanation:
Given:
The arithmetic sequence whose common difference is
And first term is
Find the 19th term of the arithmetic sequence
Now we know that,
Put all the value in above AP.
So, 
term of the sequence is 73.
Just do 3x+5+2x=90 And solve for x.
So, 5x+5=90
5x=85
x=85/5 = 17
now you know the value of x, so you can calculate the angles.
Btw the total angle of a triangle is 180, and since this is a right angle triangle, you know that the two angles added together needs to equal 90.
The answer is B. (y = 4)
Further explanation:
–4y + 8 = 4(2y – 2) – 2(–16 + 8y)
= -4y + 8 = 4 * (2y -2) - 2 * (-16 + 8y)
= -4y + 8 = ( 4 * 2y - 4 *2 ) - (2 * -16 - 2 * 8y )
= -4y + 8 = 8y - 8 - ( -32 - 16y)
= -4y + 8 = 8y - 8 + 32 + 16y
Move y’s to the left & numbers to the right
= -4y - 8y - 16y = -8 + 32 - 8
= 12y - 16y = -16 + 32
Y = 16 / 28
Y = 4 = (B choice)
Answer:
Step-by-step explanation:
Express the fraction as number of houses over number of businesses, that is
ratio = 
Divide numerator and denominator by 5 for simplest form
ratio =
Answer:
Given, ∠MNP=107 degree.
Therefore, ∠QPN= 107 degree. [as, MN=PQ]
We know, sum of four angles of a quadrilateral is 360 degree.
And as MN=PQ, ∠NMQ=∠MQP.
Therefore, ∠MQP= {360 degree-( 107degree+ 107 degree)}/2
=( 360 degree-214 degree)/2
= 146 degree/2
=73 degree.
hope this will help you.
Step-by-step explanation:
