Answer:
6) 15
7)5
8)120 degrees
9)60 degrees
10)9
Step-by-step explanation:
GHIJ is a parallelogram.
Opposite sides of a parallelogram are congruent.
3y - 1 = 2y + 1
3y - 2y = 1 + 1
y = 2
Opposite sides of a parallelogram are congruent.
4x + 3 = x + 12
4x - x = 12 - 3
3x = 9
x = 9/3
x = 3
6)GH = ?
GH = 4x + 3
GH = 4(3) + 3
= 12 + 3
= 15
therefore, GH = 15
7) HI = ?
HI = 2y + 1
= 2(2) + 1
= 4 +1
= 5
therefore, HI = 5
Opposite angles of a parallelogram are equal.
8) m(angle I) = 120 degrees...... (given)
therefore, measure of angle G = measure of angle I
therefore, m(angle G) = 120 degrees
Consecutive angles of a parallelogram are supplementary.
9) m(angle I) + m(angle J) = 180 degrees
120 + m (angle J) = 180
m(angle J) = 180 - 120
= 60 degrees.
The diagonals of a parallelogram bisect each other.
10) JK = 9 .........( given)
JK = HK
therefore, HK = 9
Well, in order to answer this problem we need to use the <span>the Pythagorean Theorem and the it will be like this:
cos = x / hypotenuse
cos= 12/13
I think with this you can figure the rest out. Hope this helps</span>
The expression in company B represents that is is in arithmetic progression where first term is 42000 and common difference is 1800 . So we have to use the formula of sum of n terms which is
Where a is the first term, n is the nth term, d is the common difference
On substituting there values,we will get
= 15(84000+52200) = 15*136200 =2043000
And for company A, it is
Difference between them =2043000-2002500= 40500
So the correct option is the second option .
Answer:
Step-by-step explanation:
g(x) = x+4
g(8) = 8+4 = 12
