If we know the three corresponding sides form the same ratio, then we can use the SSS similarity theorem
If we know that 2 pairs of angles are congruent, then we can use the AA similarity theorem
Finally, if we know that two sides are proportional with the congruent angles between the two sides, then we can use the SAS similarity theorem
See the attached for the final answers
(X+6)(x-2)
X=-6
X=2
Hope this helps
Answer:
Step-by-step explanation:
- (1/2) / 4 = x / 5
- 1 / 8 = x / 5
- x = 5 / 8
Answer:
(q + 4) + (d - 3) + n
Step-by-step explanation:
You have to add all of them.
You have to add q, d, and n.
so q + d + n
and then you add four more q's so
(q + 4) + d + n
and then you lost 3 dimes so
(q + 4) + (d - 3) + n
and nothing happened to n so that is the answer.
Answer:
The value of Mary's investment after two years = £12362.7
Step-by-step explanation:
P = Principal / initial amount
R = rate of interest per cent per year
T = number of years
A = final amount at the end of T years
Then:
A = P*(1 + R/100)^2
In our example:
P = £12000
R = 1.5 per cent per year
T = 2 years
Thus:
A = 12000*(1 + 1.5/100)^2
= 12000*(1 + 0.015)^2
= 12000*(1.015)^2
= 12000*(1.030225)
= 12362.7
Value of investment after two years = £12362.7