14. Add the line times the outside number
X(X+4)= (2√3)^2
X^2+4X= 4√9
X^2+4X= 4times 3
X^2+4X=12
X^2+4X-12=0
(X+6)(X-2)=0
X=-6 X=2
Answe can't be negative so it's X=2
21*x=9*21
9*21=189
21*x=189
Divide 189 by 21 to solve for X or in this case "Blank"
189/21= 9
1. (77+x)/2=84
2. Harold needs at least a 91
Work:
first, you multiply both sides by 2; 77+x=168
then you subtract 77 from both sides; x=91
then you plug it back in to check; (77+91)/2=84 ; 168/2=84 ; 84=84
Sum means addition
negative 18 means -18
a number can be x
Sum of negative 18 and x should be 11
thus the equation is
Answer:
Part 1) Triangles ABC, DBG, DEF and BEH are similar
Part 2)
Step-by-step explanation:
Part 1)
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
In this problem Triangles ABC, DBG, DEF and BEH are similar, because its corresponding angles are congruent by AA Similarity Theorem
Part 2)
Remember that
If two triangles are similar, then the ratio of its corresponding sides is equal
therefore