The complete question in the attached figure
we know that
perimeter of a rectangle=2*[base+height]
rectangle P
perimeter=20 in
perimeter=2*[j+4+h]
20=2j+2h+8------> 2j+2h=12----> j+h=6-----> j=6-h------> equation 1
rectangle Q
perimeter=30 in
perimeter=2*[j+1+3h]
30=2j+6h+2----> 2j+6h=28----> j+3h=14-------> equation 2
substitute equation 1 in equation 2
(6-h)+3h=14-----> 2h=8-----> h=4
j=6-h-----> j=6-4----> j=2
the answer isj=2h=4
Answer:
The properties of the Real Number System will prove useful when working with equations, functions and formulas in Algebra, as they allow for the creation of equivalent expressions which will often aid in solving problems. In addition, they can be used to help explain or justify solutions.
Any graph f(x) can be changed to f(x-3) by changing any x to x-3.
For example: Let f(x) = x^{2} + 2x + 4
Find f(x-3) by replacing all x's with x-3.
f(x-3) = (x - 3)^{2} + 2(x - 3) + 4
Then we can simplify and we will have f(x-3).
Answer:
Step-by-step explanation:
Q. 17
Verticle angles are congruent
(6x+7) = (8x-17)
-6x from both sides
7 = 2x-17
add 17 to both sides
2x = 24
divide 24 by 2
x = 12
Q. 18
Linear pair = 180
(11x-15) + (5x-13) = 180
11x + 5x - 15 - 13 = 180
16x - 28 = 180
Add 28 to both sides
16x = 208
Divide 16
x = 13