Answer:
y = 8
Step-by-step explanation:
for the triangles to be congruent, 2y + 20 must equal 36.
2y + 20 = 36
subtract 20 from each side of the equation:
2y = 16
divide both sides by 2:
y = 8
For this case we must simplify the following expression:
By definition of the law of multiplication signs we have to:
So, rewriting the expression we have:
Thus, the answer in decimal form is 1.15.
Answer:
<span>(7y2 + 6xy) – (–2xy + 3)
7y^2 + 6xy +2xy +3
7y^2 +8xy +3
8xy + 7y^2 +3</span>
Answer:
Ratio of George age to Carl's age to Alex age = 1 : 12 : 4
Step-by-step explanation:
Let the age of Alex = A years
Age of George = G years
And age of Carl = C years
"Alex is 12 years older than George"
A = G + 12 ------(1)
"Carl is 3 times older than Alex"
C = 3A
C = 3(G + 12)
C = 3G + 36 ------(2)
"Sum of their ages is 68 years"
A + G + C = 68 ------(3)
By substituting the values of A and G in equation (3)
G + 12 + G + 3G + 36 = 68
5G + 48 = 68
5G = 20
G = 4 years
From equation (1),
A = 4 + 12 = 16 years
From equation
C = 3(4) + 36
C = 12 + 36
C = 48 years
Ratio of their ages = G : C : A
= 4 : 48 : 16
= 1 : 12 : 4
Make a negative and positive number line and go from there
